this dictionary says: that complex fractions are fractions where the numerator and/or the denominator are fractions themselves, and that they are also...

we need an article on this title as well as the numerator article. Indeed, why do we need numerator and denominator articles at all: would it not be...

identities according to type of numerator and denominator so that e.g. if a given source uses one type of layout for one numerator/denominator type and another...

what is the numerator and what is the denominator of the function F {\displaystyle F} . It's easy to assume the top fraction is the numerator and the bottom...

expressed in "lowest terms" by canceling any common integer factor of the numerator and denominator. Then the denominator is just an integer, so there is...

order_)); int numerator_1 , denominator_1 ; int numerator_2 , denominator_2 ; int numerator_3 , denominator_3 ; int factor; numerator_1 = sequence_[0]...

\end{aligned}}} In the first term in the numerator, i = 1. In the second term in the numerator, i = 2. In the third term in the numerator, i = 3. etc......... In the...

to add just a little bit to this article right now, about the partial numerator and the partial denominator. I'm also working on the quadratic irrational...

the numerator and denominator of the schroeder-function. Normally one would expect the log of a quotient the difference of the logs of numerator and denominator...

In the formula shown in the numerator it has the square root of the sum of all the counts (n_i). If I'm not mistaken this should be then the same again...

simply wrong, or at a minimum is super nonstandard. The numerator is not part of the numerator in this definition, so it makes no sense. HarveyMotulsky...

Bn and the numerator of Bn seem to be treated as interchangeable in this article. K123nm4r (talk) 14:51, 10 June 2024 (UTC)...

which misstated the numerator of the calculation as the "number of users who clicked on an ad" on a web page whereas the numerator is actually simply "the...

I think that the numerator in the first equation was supposed to be with parenthesis instead of absolute value signs? Also the third equation. 18:07,...

his so-called "experimental results". He states "The 180,000 shortest numerator-denominator representations require 15.65 bits on average, and those same...

equal zero is if either: 1) the denominator goes to infinity, 2) the numerator goes to zero: which is when: Vn/V0 = 1, (investment doesn't make any money)...

2009 (UTC) These definitions do not account for Gaussian integers in the numerator and denominator. The second definition would also not work if a∈~{ℝ∪iℝ}...

I cannot find sense in "the numerator of the number n*2n + 1 is 2n - n". For example, for n = -6 it becomes "the numerator of the number 29/32 is 385/64"...

thus that sum evaluates to zero. Similarly, the numerator will be 0 or 1 more than the sum of numerators of the node's immediate descendants. The back propagation...

number is wrong. According to ISO 7902‑1 the load P has to be in the numerator. However, I don't have access to the referenced source. Someone might...

(the 2 in the numerator was changed to 0.5) and then corrected (the 0.5 was then moved to the denominator,) however 2 in the numerator is more simple...

diagonal bar is used to separate the numerator on the right, and the denominator on the left, as opposed to the numerator over the denominator, with a horizontal...

in the ROA numerator and in the Margin(s) denominator, we divide by sales. Another notable issue in all the basic formulas using numerator from income...

notation t,x,y,z -> T,X,Y,Z, and hopefully got everything changed) correct numerator cosh to sinh in third expression for T at the top of the article (occurs...

Vaughan Pratt (talk) 14:36, 17 October 2020 (UTC) Ok, I get it. The numerator is 0 so 0 times infinity could be anything. When you look at α very near...

mathematics, but should this formula instead be P = D 1 + k k − g {\displaystyle P=D{\frac {1+k}{k-g}}} The difference is the numerator is 1+k rather than 1+g....

August 2010 (UTC) It seems strange to add standard deviations in the numerator. The difference of values is a random variable whose variance is the sum...

Utonality share the same numerator." Can't any set of pitches meet either of these criteria, by multiplying their denominators/numerators respectively by each...

| 0 ) {\displaystyle P(\theta _{up}<\theta |0)} , which based on the numerator appears to mean P ( θ u p < θ | θ = 0 ) {\displaystyle P(\theta _{up}<\theta...

pointing out. Harmonically generated intervals (those with primes in the numerator) will always appear above the fundamental (1/1) and the subharmonics (those...

each numerator by all the denominators other than its own (2*10*6 = 120, 7*15*6=630, 1*15*10=150) and sum the results to get the new numerator (120+630+150=900)...

Purgy's rewrite of the lead. A positive or zero numerator represents a number of equal parts. A negative numerator represents an opposite. We need to deal with...

I was putting another article up for deletion but an error in a script I am running seems to have put it on this page which was open in another ff window...

definition of the labor force participation rate. This would include in the numerator the sum of both working and those not working but looking for a job (i...

repulsion does obey the inverse square law but its numerator is less than the GM in the numerator of the gravitational force downwards. (GM refers to...

year than for the best half year. Using the annual cost of goods as the numerator the inventory turns would be 8, 6, and 12 respectively. Clearly more respresentative...

missing in the first formula. I believe that in the formula for c_n,k, the numerator and denominator are reversed. Bsimonca (talk) 05:43, 5 July 2012 (UTC)Barry...

divide that by the speed of light squared you get Kg. The equation has numerator and denominator switched I think. 178.174.125.168 (talk) 19:06, 30 May...

MathWorld. - has no reference to vinculum also denoting the line between the numerator & denominator of a fraction. In the Wikipedia article on fractions these...

functions whose denominator tends to 0 tends to infinity, because the numerator could be going to 0 faster. There is no reason to require a "positive...

market. No, no, no. It's NOT expectations. It's just a formula with a numerator and a denominator.--Jerryseinfeld 04:42, 9 Jan 2005 (UTC) The yield calculation...

(v_{1},\dots ,v_{n})}{\|v_{1}\|\cdots \|v_{n}\|}},} the volume in the numerator being that of the parallelotope whose edges at the vertex in question...

20 Feb 2004 (UTC) Why is this a disambiguation page? I came here by numerator and denominator and was rather disappointed by what I found. It does not...

are imaginary, then the intermediate value theorem applies, (4) with a numerator of degree n and a denominator of degree d, when n>=d, then the asymptotic...

two polynomials. The numerator and denominator of a fraction are two integers. Aughost (talk) 17:03, 20 September 2011 (UTC) The numerator and denominator...

regardless of the value of a. Thus, any finite numerator will produce the correct quotient of 0. The numerator is a + 0·(∞+a+1) = a + 0·∞. Here, there are...

Prevalence is expressed as a ratio in which the number of events is the numerator and the population at risk is the denominator. prevalence rate - the number...

references to two version of the name "... Numerical Integrator... " and "... Numerator, Integrator... ". I don't know which is correct, so if anyone can clear...

stick to b for numerator, and a for denominator. I don't think it's necessary to have a disclaimer "some authors may use a for numerator..." as was in...

28 October 2009 (UTC) It's now fixed, with a (1/c) added to the the numerator. —Preceding unsigned comment added by Eastview (talk • contribs) 04:28...

that they were all in the first octant(First quadrant, x>y)? Then the numerator of the y coordinate must be allowed to sometimes be odd, and vice versa...

(UTC) I don't understand why it's a bug or error to display pi in the numerator of a mixed fraction. --98.203.241.55 (talk) 19:06, 15 February 2013 (UTC)...

Darij (talk) 22:40, 28 April 2009 (UTC) in the case of prime k, isn't the numerator should be q^(n-1)? —Preceding unsigned comment added by 132.69.139.230...

paragraph since the statement makes no sense in the context – it inverts numerator and denominator in the definition –, and the numbers thrown there make...

kinds of numerators occur, and the restriction to unit numerators does not feel natural at all. For me, the request to start with numerator = 1 feels...

whether or not should be different in the denominator compared to that in numerator of the fraction. I think the index should be identical because the volume...

P=P_{n}-{\frac {(P_{n+2}P_{n}-P_{n+1})^{2}}{P_{n+2}-2P_{n+1}+P_{n}}}} The numerator is subtracting P n + 1 {\displaystyle P_{n+1}} from P n + 2 P n . {\displaystyle...

superfield by the denominator obtained by choosing only the items corresponding to the ones from the numerator Orisphera2 (talk) 10:16, 6 July 2024 (UTC)...

of fraction, you could, say, love being the denominator, and will the numerator: love UNDER will.) The '93' at the heading stands for "Do what thou wilt...

indicated on the two pages describe the exact same thing. If you divide the numerator and denominator of the series on this page by M i , {\displaystyle M_{i}...

would become invalid, since you would be leaving out the [H2O] on the numerator of the expression as well as the denominator, while on the other acid...

correct, then the DJIA would have units of USD/share. Since USD are in the numerator of the expression from which the DJIA is calculated, it stands to reason...

descending powers in the denominator and the relation of the numerators helps to solve for the numerators. I scanned the article. Only parts would be comprehensible...

(UTC) Under companies listed in the United States, Numerator should be listed (https://www.numerator.com/). They are market research company with offices...

the ABA number has the form 16-66/1220. The prefix of the ABA number numerator is the city or state in which the bank is located. The smaller numbers...

I don't think the Nth root continued fractions converge. The partial numerators go up as squares whereas the denominators go up linearly. It doesn't seem...

October 2016 (UTC) Copied it here - better, but the ending square in the numerator is only half-visible - odd ... browser problem?: D = π b t 2 l n ( 0.01...

than the PEIS of the {{time signature}} template. In addition, because numerators of 5 and 7 are already omitted, just going to their respective articles...

(if you have following factorization which is also easy to verify): - numerator: (299792458)^2 = (2 × 7 × 73 × 293339)^2, - denominator: 662607015 × 10^42...

(UTC)your_fellow_human It seems to me that the <math>\pi<\math> should be in the numerator since in collision theory a factor of <math>\pi<\math> is multiplied by...

(UTC) Well, the quotient seems rather obviously a polynomial since the numerator vanishes at the only point where the denominator vanishes, and the fundamental...

reciprocals of the self-powers called the divido-exponential sequence and the numerator is n which is the variable and the series is not listed but i found it...

notation t,x,y,z -> T,X,Y,Z, and hopefully got everything changed) correct numerator cosh to sinh in third expression for T at the top of the article (occurs...

believe it's a promotional single in my opinion. LilNumerator (talk) 01:19, 1 April 2017 (UTC) @LilNumerator:@Cornerstonepicker:@32zel:@JustDoItFettyg: It should...

difference between the wagstaff primes and the prime exponents of 2 in the numerator. I also wrote out explicitly why 3,11,and 43 are wagstaff primes. some...

Universal Rule replaced the 5.5 factor in the divisor by 0.182 in the numerator. The article mentions other restrictions such as schooner/yawl handicaps...

in the article has a typo. The paper had the term (2-2sqrt(2)) in the numerator and this article had (2-sqrt(2)). I changed it to 2(1-sqrt(2)). Now the...

gives a different form for this Sellmeier equation, with lambda in the numerator as opposed to the lambda^2 which is standard: http://en.wikipedia...

correct. They are not the same as the equations in the cited source. The numerator and outer loop are problematic, since for some reason the in-sample error...

kT}}} contains both the fundamental quantum mechanical expression in the numerator and Boltzmann's fundamental thermodynamical expression in the denominator...

rate of change in something. that is, it must have different units in numerator and denominator (ie, meters per second; rise/run; bps; etc). So it's misleading...

negative binomial is wrong. There should be no z {\displaystyle z} on the numerator, i.e. ( p 1 − q z ) r {\displaystyle \left({\frac {p}{1-qz}}\right)^{r}}...

maybe it should be changed to a promotional single. Would like some other opinions on this topic at hand. LilNumerator (talk) 12:05, 4 April 2017 (UTC)...

(talk) 15:32, 15 October 2020 (UTC) The OEIS sequence A368862 contains the numerators of an infinite series related to Backhouse's constant. Dacicus Geometricus...

^{2}\right)^{2}}}-3} (i.e., the factored constant at the front of the numerator is "2" in the article, but should be "3"). This alternative expression...

intentional outs (sacrifice bunts) are also not included in either the numerator or the denominator of the formula. From VfD: This article should be merged...

Mathematically it is a relative index – a fraction with total revenue as numerator and total revenue as denominator (Althin et al., 1996). Kuosmanen and...

fraction? (Maybe it's just my crazy imagination, but it makes me think of a numerator and denominator yelling vulgarities at each other. Or perhaps insulting...

given is inconsistent with the test statistic given. The unrestricted numerator will be larger than the restricted denominator, so the ratio will be greater...

(talk) 04:00, 29 October 2025 (UTC) It does seem strange to have the numerator half in and half out of the square root. I prefer the first of your two...

word or two on how to handle when the denominator is greater than the numerator in the various implementations of synthetic division (the answer becomes...

today, such as 1⁄2, 5⁄8, 3⁄4, etc., which consist of a numerator and a denominator—the numerator representing a number of equal parts and the denominator...

level in math. It is used for vertical and cross reduction of terms in numerators and denominator, as well as, having terms add/subtract to zero. Teachers...

notation error regarding the generalized hypergeometric function in the numerator as below? 1 F ν − 1 ( ; n + 2 , … , n + 2 ; λ ) {\displaystyle _{1}F_{\nu...

v')=\delta (v',v)} so the author only includes one of the cases in the numerator, but shouldn't each one be multiplied by 2? If that is not correct, why...

second Y is not even an integer -- probably the 2^n needs to be in the numerator. But no reference is given. So we can't correct the logic, it is too far...

panel to the next, with dpd then being the quotient of the aggregate numerator by the aggregate denominator after the process has been run on all panels...

sources from other outlets rather than Genius. LilNumerator (talk) 02:43, 3 April 2017 (UTC) @LilNumerator: ok thanks!! 32zel (talk) 14:43, 3 April 2017 (UTC)...

of March]: I am not so sure that it is correct to have hbar^2 in the numerator. Often 1/hbar is inside the Gyromagnetic ratios. Please check this somebody:-)...

this is only approximately correct. And finally, the cos(w+f) in the numerator takes on a value of zero when the argument is pi/2. A delta V of zero...

is not a historical fact (yet). Here is my guess. Think of Euclid. The numerator could be any length or quantity that one wanted to divide into parts....

completely equivalent, given that a fraction is unchanged in value when the numerator and denominator are both multiplied by 10. The third is ambiguous. A normal...

seen a reference to a "generalized" continued fraction whose partial numerators and partial denominators have to be integers. I'm absolutely certain that...

— we have particular name for each of them IN THAT CONTEXT. 3 is the "numerator" and 4 is the "denominator". Now consider a bunch of different measurements...

died" in the numerator and "persons diagnosed" in the denominator. So what ECDC is claiming is that you assume a rate for the numerator, but not for the...

asymmetrical form has a different decay slope on a log plot. The terms in the numerator are required to preserve the integral to unity and revert to the symmetric...

number as a speed because IN THIS CASE speed happens to be linearly in the numerator. Thus a pump which operates 5 times as well as an ideal reference pump...

paragraph. --Ian S (talk) 16:24, 2 May 2009 (UTC) Since all the partial numerators in this example are equal to one, the determinant formula assures us that...

of Δ ( 2 π ) 12 {\displaystyle {\tfrac {\Delta }{(2\pi )^{12}}}} , the numerator being the modular discriminant, then the old definition was still correct...

the harmonic mean of the numerator and denominator of tan A and (2) the reciprocal of (the denominator minus the numerator of tan A). In general, the...

(talk) 22:34, 6 May 2016 (UTC) So you're looking at the circles whose numerator is one? The answer is given in the first line of the article. If x=p/q=1/q...

less than 1, so the equation should have the backside efficiency in the numerator. Or am I missing something? -Eponymous-Archon (talk) 18:12, 26 May 2025...

may apply trivial convergence conditions on sums, as the partial sums on the numerator are bounded). ~2026-83302-6 (talk) 03:40, 7 February 2026 (UTC)...

any standard that uses 47ths of an inch, and it is uncommon to have the numerator of a fraction be larger than the denominator. Bricology (talk) 23:49,...

EPS listings will show. Some explicit statement of the fact that the numerator in the ratio can be either profit or loss seems called for although it...

accurately predicts whole muscle force for eight muscles, but cosine is in the numerator. Spector, Sacks and Powell are all out of the Edgerton group at UCLA;...

would assume lower numbers are better, since goals against are in the numerator, but the article is unclear about this. --JHP (talk) 21:49, 28 July 2019...

formulation ("equal energy") where the 1/(hv) is folded into e(v) and so the numerator and denominator are both just f(v) e(v) dv, without the 1/(hv) term. i...

multiply it by b(sqrt(2) + a/b). wolfram link Similarly, to make the numerator equal to 2*b^2 - a^2 you must multiply it by b(sqrt(2) + a/b). wolfram...

my 2nd definition above, we have (I'll write it out in LaTeX notation) Numerator: ∑ y = x ∞ λ − y ℓ y m y {\displaystyle \sum _{y=x}^{\infty }\lambda ^{-y}\ell...

principle will work, and the result is that the determinant is in the numerator and not the denominator. This is most of Grassman integration, but without...

engine. However font designers thought these were much more useful for numerator/denominator fractions, which are far worse when attempted with sup/sub...

, Pn/n3, ..... tends at number 1/3, as n tends to infinity where the numerator of the sequence terms is the nth square pyramidal number Pn. see "Quadrature...

multiplication: . Cancel factors common to the numerator and denominator. . Multiply the remaining numerators and denominators For Division . x+3 /4 ÷ x+3/6...

dimensional and logical grounds) is it possible it should be m^k vs k^m in the numerator? 198.84.249.151 (talk) 10:29, 22 November 2022 (UTC) Indeed - I have no...

numbers, put the larger of the two over the smaller in a fration (larger=numerator, smaller=denominator (12/5). Then you simplify the numbers (if they can't...

g(x)}+\left[1-{g(y) \over g(x)}\right]{f'(\xi ) \over g'(\xi )}} (the numerator of the first term of the right hand side of the equation should be f(y)...

readers to align the numerator and denominator in the expression so that one of each of the two even integers in the numerator hovers directly over one...

the section should be expanded. — Preceding unsigned comment added by Numerator*over*Denominator (talk • contribs) 03:26, 9 November 2020 (UTC) The article...

student could verify. Thanks,Bill; my e-mail is [email protected] The numerator of the number (−n)*2−n − 1 is 2n + n, the first few of them are 3, 6,...

of x {\displaystyle x} , and the numerator is a standard polynomial. This is done by multiplying both the numerator and the denominator by x {\displaystyle...

1. "An advantage is that, as its numerator EV (Enterprise Value)includes the value of debt as well as equity, it is unaffected by a company's capital...

the definition of beta is beta = df/dy, so if we have the radius in the numerator the expression is dimensionally inconsistent. The article begins by explaining...

The fact that the lengthy denominator is not exactly twice the numerator is obvious from the last four digits. If you look at the first digits, you need...

(two-thirds of an inch) can't be converted to metric by converting both the numerator and the denominator: the latter should stay the same (as it is a ratio...

fraction containing a large prime number, such as 71. This forces the numerator to be the same, leading to the solution directly without enumeration....

then the numerator of − B n ( 1 4 ) n ⋅ ( 2 n − 1 − 1 ) {\displaystyle {\frac {-B_{n}({\frac {1}{4}})}{n\cdot (2^{n-1}-1)}}} is the numerator of the Bernoulli...

believed by anyone who might be struggling to understand this topic: (1) The numerator approaches 0; therefore the quotient approaches 0. (2) The denominator...

}{D_{0}}{\frac {(1+g)^{t}}{(1+r)^{t}}}={\frac {D_{0}(1+g)}{r-g}}} The numerator in the Macaulay duration formula becomes: ( 3 )         ∑ i t i P V i...

upper 8 bytes of numerator = 2^(ℓ) = (upper part of 2^(N+ℓ))  ; lower 8 bytes of numerator for mlow = 0  ; lower 8 bytes of numerator for mhigh = 2^(N+ℓ-prec)...

Euler product formula". The original text specified that "1+3" as the numerator for the fraction contained in the series definition of the zeta function...

{\displaystyle {\tbinom {n}{k}}} as a quotient with k factors each in numerator and in numerator, and one with n factors each (grouped into factorials) and which...

connected to j {\displaystyle j} nor to i {\displaystyle i} ". At the numerator it is the number of way to connect the k i {\displaystyle k_{i}} stubs...

{\displaystyle W=XY} The statement is nevertheless correct in the case where the numerator and the denominator are independent standard Cauchy random variables,...

(UTC) I added a little more explaining what expression the numerator and denominator are numerator and denominator of. —David Eppstein (talk) 22:53, 17 January...

should be nonzero, since if it is 0 then 0/1 is a rational root, but the numerator 0 is not a divisor of the constant term 0 - 0/0 is undefined. The usual...

see why. Josuechan (talk) 23:11, 20 February 2008 (UTC) I reverted the numerator for the PDF back to 1 σ ϕ ( X − μ σ ) {\displaystyle {\frac {1}{\sigma...

But, if you do exactly 1 addition step, that is close to the end of the numerator, the growth rate becomes faster for larger k, because of more consecutive...

Three Minutes". The equation given here has 16 π k^3 ζ(3) T^3 in the numerator and c^3 h^3 (2 π)^3 in the denominator. In Weinberg's version of this...

—Quantling (talk | contribs) 22:30, 16 October 2025 (UTC) If we don't clear numerators as I describe in the section above this, and keep the original article's...

Since |x-x|=0, it doesn't matter whether or not you include them in the numerator. I will make the change. PBoyd (talk) 12:55, 2 May 2008 (UTC) I came here...

main county routes were assigned fractions (the main county route is the numerator). Route numbers do not repeat within a county. The county route marker...

101.8.8 (talk) 07:49, 25 May 2008 (UTC) The harmonic mean has as its numerator the number of terms whose mean is being taken. There are four terms in...

@Bloomdoom2: @Cornerstonepicker: @JustDoItFettyg: @BlaccCrab: @32zel:. LilNumerator (talk) 15:37, 9 April 2017 (UTC) Songs do not need to be sent to US radio...

I don't think the units are right here. The numerator has units of "outages" while the denominator is measured in "customers." How does outage/customer...

{\displaystyle w_{j}^{p-1}} rather than just w j {\displaystyle w_{j}} in the numerator of the last fraction. --Jdrugo (talk) 13:18, 3 June 2025 (UTC)...

used in the U.S. (where I'm from). Some books place the sqrt(n) in the numerator, as in the third form; the second form is talking about the sum, not the...

understood to be significant, and not necessarily seen to imply one being the numerator and the other the denominator; it's mostly just the idea that both are...

Sequences) sequences A369186 and A369187 are the denominators and the numerators of an infinite series that converges to the Dottie number. Dacicus Geometricus...

not very clear to me, what standard deviation is precisely meant in the numerator. I tried interpreting it as the standard deviation of the category means...

distributions. In fact the estimator for the central third moment in the numerator is unbiased, and the variance in the denominator is unbiased (but its...

demoninator goes to zero like 1 / a 2 {\displaystyle 1/a^{2}} , b) the numerator is bounded by 1, c) the arc length is proportional to a {\displaystyle...

1.1 E41 by 3.828 E26 = 2.874 E 14. NO! With 2 significant figures in numerator, result should be ...wait for it...2 significant figures. that is 2.9...

volume rate per person-minute (CFM per person, L/s per person)." So the numerator in the equation should have volume (Air changes per hour), but the denominator...

stated. Or they don't dump fuel in order to have the correct fuel in the numerator. But then they have the wrong "gross take-off weight" and, again, a smaller...

rational number with odd numerator and denominator, one can make a case for "−", but if y is a rational number with even numerator and odd denominator, one...

infinity. Doing the modification that the text suggest, subtracting one from numerator, changes things, but it also changes the function completely. My plots...

change in virtual potential temperature \Delta \theta_v is used in the numerator, as this does make a larger difference. There are further variations that...

provides the memory for all z − 3 {\displaystyle z^{-3}} terms in the numerator and denominator. If these dropped out of the final transfer functions...

RubberTyres (talk) 20:50, 24 April 2011 (UTC) There are three forms of the numerator in the asymmetry term that have been used in the history of this article...

ratio of inertial forces/viscous forces. Obviously when Re << 1, the numerator (inertial) must be very small relative to the denominator (viscous). Bungeh...

'1/(1/c)' (or some form thereof)? Doesn't this just cancel to 'c' in the numerators, or is this perhaps just a style issue rather than syntactic? 94.193.216...

what this person talks about. 1. It is wrong. If you don't require the numerator to converge at all, then what about cos x/x when x -> infinity? The limit...

case the rate is in fact directly proportional to √T, since the p in the numerator increases faster than the √T in the denominator. However I have not yet...

unfortunately I have no idea what's meant. In the first formula, the numerator seems to be independent of n; and what is Q? In the last formula, the...

weight units in the denominator cancel out the kg force units in the numerator. The Krueger paper lists the modulus of elasticity for steel as 200x10^8...

As for yield, I think it depends what exactly you're putting in the numerator and the denominator: do you mean dry (weight of water excluded) output...

(UTC)Anonymous Note that the ( k 1 + 1 ) {\displaystyle (k_{1}+1)} in the numerator of the ranking function is constant and thus should have no influence...

clearly show it is for many more counties than Los Angeles [2] Also, the numerator and denominator should match... the source is obviously biased and used...

from losing month to start making money? That means the denominator and numerator could both be negative or have opposite signs! The transition from small...

{ax(x-r)+(b+ar)x+c}{x-r}}} results from adding and subtracting arx in the numerator then regrouping terms. I believe this kind of elaboration is useful in...

'response percentage/proportion'? Rates require time component in addition to numerator and denominator. For example, if 1,000 surveys were sent by mail, and...

H(s)=A\prod {\frac {(N_{n})^{a_{n}}}{(D_{n})^{b_{n}}}}} where s = jω, N is a numerator term, D is a denominator term, and H is the transfer function. start with...

individual rules provide, but the following column tells what the "perfect" numerator would be. I'd add it myself, but I don't like to mess with the politics...

In the Background section, I moved the argument of x(t) back into the numerator of the derivative because that is where it commonly is placed in textbooks...

_{i=0}^{n}a_{i}^{t}\right)\right)\right)} . Inside the limit, both the numerator — ln ⁡ ( 1 n ∑ i = 0 n a i t ) {\displaystyle \ln \left({1 \over n}\sum...

(UTC) "Odd" as used here does not mean "unusual". It means that the "numerator" is an odd number (5, 7, 11, etc.)Carnamagos (talk) 17:35, 22 March 2011...

-- DrBob 21:50 May 5, 2003 (UTC) TeX insisted on putting r = in the numerator. That was probably my fault but having spent enough time on it I decided...

"classical ratio"? (I'm guessing a 5-prime-limit ratio: using ratios whose numerator and denominator have only the primes 2, 3 and 5 as factors.) what is mean...

heights (minimum square method). The text says: "The σ appears in both the numerator and the denominator in those calculations and cancels. That is fortunate...

origin. Accountants make reference to ratios which use the return as the numerator with things other than investment as the denominator. Nevertheless, some...

{\displaystyle {2p-1 \choose p-1}\equiv 1{\pmod {p^{4}}},} p divides the numerator of the Bernoulli number Bp−3 (p, p - 3) is an irregular pair I am not...

66s + 6M*2,5s) as denominator and each of the three product (in Ms) as numerator. E.g. the large 0,5-bottles receive then a cost allocation a_0,5 = 6M*2...

the first operand of a specific operation, exactly similar to addend, numerator, dividend, ..., none of them having a specific article. The base of a...

the sign of 9 m n 2 − 4 {\displaystyle {\sqrt {9m_{n}^{2}-4}}} in the numerator is not important. Markov constants are obviously invariant under translation...

numeral that represents a rational number (if the numerator and the denominator are integers; the numerator and the denominator of a fraction need not to...

heterozygotes. Obviously that doesn't make sense; it seems the thing in the numerator was supposed to be the bold-face p rather than p. I changed it to this:...

Welch's t-test formula should have absolute value in numerator as values are not defined for negative numbers, I would have edited it but am in hurry...

is a bit more elegant than yours. Proof: let cm^3(u)=c, and sm^3(u)=s, numerator: cc-s-3cs-ssc (I avoid ^2 notation in some parts to not confuse ^2c with...

height', where a subscript in the denominator equals a superscript in the numerator and vice versa, and the height should match on both sides of the equation...

airspeed. To say they "reduce drag" without qualification, is like giving a numerator without a denominator. cagliost (talk) 16:06, 29 May 2025 (UTC)...

required — or even if a 'correction' was employed it would apply to both numerator and denominator and thus have no practical effect? —DIV (137.111.13.4...

Schrodinger eq, for the value of Q the square root of rho is in both numerator and denominator - is this correct? If so, shouldn't the value be reduced/simplified...

the right whose value is greater than 1. Observation 2: The sum of the numerator and denominator of the first child is 2 a + b {\displaystyle 2a+b} , while...

17:16, 13 November 2009 (UTC) The numerator of the formula given on the 'article' page is incorrect. The numerator should be (closing price - pricelow)...

2006 (UTC) Either ratio is wrong and a ratio can have a dimension if the numerator and denominator have different dimensions, or this and a load of other...

instead of squared (as in the scalar form of the equation), because the numerator r vector is the scalar r with direction. Absolute value brackets are not...

people that are non-native english speakers (like me). The terminology numerator and denominator is explained in the article on vulgar fractions, which...

new species have had populations evaluated since the last update, the numerator for almost all orders is probably wrong. I've retained the (%) values...

Either the LHS should read "I" or the RHS should include "dt" in the numerator. -- Anonymous I just made some cosmetic changes now, but more changes...

denominator of the left side and the d θ {\displaystyle d\theta } in the numerator of the right side magically come? I could see multiplying both the left...

}}=-4\int {\frac {\rho {\boldsymbol {u}}dV}{r}}} all the terms in the numerator of the above integral B = − 4 5 ω m R 2 r 3 cos ⁡ θ ) {\displaystyle {\boldsymbol...

(i terms from 1 to N) is (SumAi)/(SumBi) = "Ratio of averages" (both numerator and denominator are divided by N to get an "average" but the two N's cancel...

this problem kinematically we just use k for the numerator in the gravity term and l^2 for the numerator in the centrifugal term, where l is the Keplerian...

storage. Alternatively, maybe it was a rational value (fraction, integer numerator + integer denominator) + exponent? That is another way to yield exact...

}^{2}\ }}\ \right]} Isolating the constant and adjusting for lack of numerator:   ω 0 2   U ω f     ω f 2 − ω 0 2   L − 1 ⁡ [   ( ω 0 ω 0 ( s 2 + ω 0...

(talk) 23:11, 15 May 2008 (UTC) I think the cosine term should be in the numerator see http://www.optics.arizona.edu/Palmer/rpfaq/rpfaq.htm. —Preceding unsigned...

answers here! I can only suppose that meter signatures with a 1 in the numerator might be called something like "single" or "unitary" meter, but I have...

of a resonance is inversely proportional to the difference between the numerator and denominator, which is called its 'order'. The lower the difference...

denominator den is 0 then the two lines are parallel. If the denominator and numerator for the equations for ua and ub are 0 then the two lines are coincident...

something like theta_n = n * Omega. If we put this in the sum of the numerator, we get something like 1/2 * n * (n+1) * Omega and thus, the limit n -->...

defined as the numerator, and the equatorial semimajor axis as the denominator in Nilsson depictions. It is found that the numerator determines how many...

Purely periodic and periodic fractions as follows: "Since all the partial numerators in a regular continued fraction . . .". But it makes no sense to tell...

the order just gives the difference of the degree of their power in the numerator and denominator of some fraction of polynomials from the ring of the variety...

{\frac {10^{6}}{1\ \mathrm {K} }}} , then moving the number from the numerator to the denominator, that is the same as 1 10 − 6   K {\displaystyle {\frac...

production+waste assimilation, per unit area. Area is in the denominator, not the numerator. Global hectare is a metaphor, since its units are production+assimilation...

contribs) 17:52, 1 March 2022 (UTC) The formula is not wrong – note that the numerator approaches infinity. A1E6 (talk) 22:16, 11 April 2022 (UTC) There is a...

can be made distinct moved to a new section. Worst-case length for each numerator and behavior of the greedy algorithm separated into two paragraphs. Modular...

function as code. If max==min then the result of the S math is 0 because the numerator of the fractions is zero so the special case shown before is meaningless...

\quad \angle {(1+j0)}=\arctan({\frac {0}{1}})=0.} The real part of the numerator of H(s) would be − 1 τ {\displaystyle {\frac {-1}{\tau }}} and the imaginary...

the numerator. Multiplication is even simpler — just multiple the numerators and denominators seperately, and for division just interchange numerator and...

works out the same when calculating the ratio, the formulas given for the numerator and denominator are wrong when taken by themselves. — Preceding unsigned...

for complex units when I was studying physics: all of the units in the numerator first (with or without dots), solidus, and then all the units in the denominator...

divisor as being the multiplier of the parentheses, which are kept at the numerator level rather than being transferred down to the denominator. It has been...

⁠ as a number, divide numerator... to To determine ⁠⁠⁠ φ {\displaystyle \varphi } ⁠ as a number, one can divide the numerator... or something along those...

equation must have equal numbers of λ {\displaystyle \lambda } terms in the numerator and denominator - considering the N=2 case, the Bateman equation should...

formula is not 4/n, but rather something more complicated with a 4 in the numerator and an n in the denominator. Thirdly, Wolf's result only applies to n...

used to ask, "what is its value?" It may be anything. "The zero of the numerator may be several times the zero of denominator and vice versa. The value...

is fixed in the second edition, where he adds the condition that n and numerator of x are relatively prime. Rckrone (talk) 05:56, 31 July 2009 (UTC) The...

analytic theory, which is the focus of about half of the research, the numerators are not confined to being one. In fact, it is best to consider a continued...

interpreted as the total number of pairs of items. So, a high value in the numerator means that most pairs are concordant, indicating that the two rankings...

means one event per second". But in the expression 0.04535 Hz/Hz, the numerator "events" and the denominator "events" are completely different things...

{\displaystyle \mathbf {r} } refers to the full vector, not a unit vector, so the numerator is proportional to r^2. RockMagnetist(talk) 15:25, 17 March 2017 (UTC)...

be a prime in the denominator which does not divide into the numerator. When the numerator is squared that prime will still not divide into it because...

spam (or not). That is, the final formula that spam filters use has a numerator something like this: P(word1|spam) P(word2 | spam) .... P(spam) If we...

Citing from the article: "... approximation by iteratively adding the numerators and denominators of a "weak" fraction and a "strong" fraction ...". Could...

flawed and basically meaningless because they are only looking at the numerator, not the denominator.--Jess97xx (talk) 21:19, 9 November 2018 (UTC) Why...

number does not result in loss of significance. It may (depending on the numerator) cause numerical overflow, as may multiplication, addition, or subtraction...

definition. What makes this one different? True. I just didn't notice that the numerator was sublinear. Ovinus (talk) 19:08, 20 April 2022 (UTC) "Erdős's construction...

the lift have an intersection instead of the union of the events in the numerator. Or is it just another definition of lift? Anyone who has time and expertise...

26 October 2007 (UTC) Braces -- Brackets -- Parentheses -- Cancel -- Numerator - Denominator -- Power of four -- Difference -- Product -- Square - Cube...

Also your formulation complicates computation, as implying a much larger numerator. I you want a concise formulation , you could use the binomial coefficient...

is not a universal convention. In addition, the vertical placement of numerator and denominator is clearer. Dick Beldin Would it be possible to write...

ight|}}{\displaystyle {2n^{2}{\bar {x}}}}}} Specifically, the current numerator suggests it would include each person's difference from themself, i.e...

companion Pell numbers are the favored Wikipedia name for double the numerators of the convergents to sqrt(2). The article now says [here is an] identity...

F_{n}\vert C)}{p(F_{1},\dots ,F_{n})}}.\,} Then the article says: ...The numerator is equivalent to the joint probability model p ( C , F 1 , … , F n ) {\displaystyle...

find a count of 1-2-3 1-2 much more natural than 1-2-3-4-5. When the numerator gets bigger such a strategy is indispensible, as in time signatures such...

are proper fractions. It must mean something like "if numerator then denominator", "numerator implies denominator", but that's a guess. Explaining it...

1} , so there is a tiny penalty). But there exist formulas with huge numerator a n {\displaystyle a_{n}} : It is easy to find for every b 1 , c 1 {\displaystyle...

term c n p q {\displaystyle cnpq} dominates both the denominator and the numerator as n → ∞ {\displaystyle n\!\to \!\infty } . As k {\displaystyle \textstyle...

- a numerator and a denominator. The denominator (the saturated vapor pressure of water) depends on temperature and nothing else. The numerator (the...

consistency with their table. I realize it is redundant to have time in the numerator and denominator, but most people think of electricity in terms of the...

suspect that there is a precision problem in your computer. As a rule, the numerator and the denominator increase with the iteration number and this should...

g shall be removed from denominator and ρ (fluid density) placed in numerator. Head does, indeed, depend upon the local acceleration of gravity. Refer...

emission in terms of the dipole moment have n^2 rather than n in the numerator? I'm pretty sure it does; if so can someone (else) fix it please. Interferometrist...

(UTC) OEIS Sequences A370490 and A370491 are the denominators and the numerators of an infinite series that converges to the Omega constant. Dacicus Geometricus...

November 2015 (UTC) The formulae listed here are confusing. Mass is in the numerator of the first four and the denominator of the fifth formula. Therefore...

{\displaystyle (1-t)^{d}\,HS_{R}(t)} is a polynomial, which is equal to the numerator P ( t ) {\displaystyle P(t)} of the Hilbert series of R. However, the...

Stefan-Boltzmann constant σ. With the numerator being x4, the constant is wrong, and contains a factor of ζ(5). With the numerator being x3 the constant after integration...

Denominator should be to the power of 3 to make numerator consistent with maths and h-prime term in the numerators 3rd term should have been squared. From formating...

used for the spherical lens is wrong. specifically the x in the exponent numerator I think should be a constant, probably unity. as it stands the formula...

should be 1/11, not the value 10/11 that would arise if we put X in the numerator of that formula. Likewise, I believe that the article should read: "X...

If you adopt this definition then you have a redundant constant in the numerator. The estimator β ^ {\displaystyle {\hat {\beta }}} has the same se as...

the example given using sub- and super-scripts, and that placing both numerator and denominator on the same level, both lack any indication whatever of...

We simplify this by multiplying on the denominator and numerator by $2f'(x_n)$ $$x_{n+1}=x_n-\frac{2f'(x_n)f(x_n)}{2[f'(x_n)]^2-f(x_n)f'...

(UTC) According to Mathematica, the denominator of w is 0 when: 1. the numerator of w is also 0 ⇔ a3 - 4ab + 8c = 0 ⇔ w = % 2. Δ0 = 0 ⇔ b2 - 3ac + 12d...

use.GraemeLeggett 08:13, 7 September 2007 (UTC) I think the RSS in the Numerator should be RSS_2, not RSS_1, see e.g.: http://www.graphpad.com/help/Prism5/prism5help...

extremely skeptical, because the one source isn't very good: it's all numerator (raw number of crimes) and no denominator (per resident, per square km...

the first equation, and (3) either negate the exponent, or interchange numerator and denominator inside the square brackets in the first equation. I think...

and pear it is 3/8, and in willow and almond the angle is 5/13.[2] The numerator and denominator normally consist of a Fibonacci number and its second...

100 added to the numerator). A few tables provide the solution form of the equation using the g/100mL convention and 100 in the numerator (it is in the footnotes...

continued fractions may contain arbitrary numerators, when the "exact" continued fractions still use contant numerators always equal to 1). Note 3: all theorems...

since the constant term which multiplies the priors is still both in the numerator and denominator of the posterior. Can this be further elaborated on? in...

support).Fathead99 (talk) 10:17, 3 October 2008 (UTC) Also I think the numerator of the skewness should be (g_3-3g_1g_2+2g_1^3)*sign(xi). (So the current...

don't register to vote. Which option should we use? Numerator: valid votes for president Numerator: all ballots counted in the election, including those...

correct. In Bijaganita there are instances of cancellation of zero from numerator and denominator which has been likened to working with infinitesimals...

of the article is inaccurate and potentially misleading. Shouldn't the numerator be the current-price value of the base year total production? With the...

numerator of Coulomb's law in the cgs-esu system, and q emu {\displaystyle q_{\text{emu}}} is the corresponding quantity that enters in the numerator...

bit result of multiplications and also contained the upper 16 bits of a numerator when dividing and the remainder as a result of that division. Other than...

(UTC) Just wondering: Is that right-hand column of the matrix of the numerator determinant correct, with three Fx's? 2601:200:C082:2EA0:D8BD:7D54:9940:6DDD...

J[Q/(D^2T)], and charge density rho=rho[Q/D^3]. Each has units of charge in the numerator and 3 units spacetime in the denominator. These quantities are assigned...

f y ( 3 x 2 − y 2 ) {\displaystyle Y_{3,-3}=f_{y(3x^{2}-y^{2})}} the numerator of the cartesian expansion is ( 3 x 2 − y 2 ) y {\displaystyle (3x^{2}-y^{2})y}...

the article establish the expression for [Ca2+]max I get the kH in the numerator (not in the denominator). Like this: [Ca2+]max = (Ksp*kH*[H+]^2)/(Kh*Ka1*Ka2*PCO2)...

probability of seeing the observed data if the hypothesis is false. Thus the numerator and the denominator of the Bayes factor are known. The posterior odds...

prime)(x)/2 + f(triple prime)(x)/6 + f(quadruple prime)(x)/24... where the numerator of each term is the function differentiated n times and the denominator...

the oscillator ratio, with numerator related to the polar radius and the the denominator the equatorial, then the numerator defines how many copies of...

a real non-inverting opamp amplifier (the feedback resistor is in the numerator), and second, an opamp does not work by "adjusting (...) the voltage of...

because you can divide both the numerator and the denominator by 3. But in 0/0 you cannot divide both the numerator and the denominator by 0. But I'm...

Maybe another way to summarize the 4 possibilities are 1) Home win: numerator = denominator = 0.6 2) Home loss: num = 0, den = 1.4 3) Away win: num...

denominators of the results are the positions of the exponents in the numerator in the sequence of odd numbers. The induction principle enshrines the...

absolute value of both operands, subtracting the denominator from the numerator as many times as possible while not allowing the remainder to become negative...

"all about") Polysemic : Each numerator is a gloss of the denominator Metonymic : The denominator is a gloss of each numerator Consider, first, the word gauh...

be a chromaticity. What do you call these mappings that are linear in numerator and denominator? Projections? Projections through the origin? Dicklyon...

easily obtained since the numerator and denominator were both less than 300, then if one got exactly the right under-300 "numerator" and exactly the right...

Mathworld agrees that there is no e i t {\displaystyle e^{it}} in the numerator [1]. Any particular reason to believe there should be? digfarenough (talk)...

out that that need not be the case. However, even if the units in the numerator and the denominator are the same (or differ only in metric prefixes),...

{\displaystyle 2\pi } depending on the choice of Fourier kernel), while the numerator becomes ( k ⋅ n ^ ) {\displaystyle (k\cdot {\hat {n}})} . There just doesn't...

think the use of the forward slash is an improvement over writing it numerator above denominator. Wile E. Heresiarch 03:31, 7 Jan 2004 (UTC) I've reverted...

things how your horizontal line doesn't go as far to the right as the numerator and denominator do). That weird "\sideset" thing is nearly impossible...

Eppstein (talk) 18:13, 4 July 2010 (UTC) Possibly worth mentioning that the numerators going left to right, as well as the denominators going right to left,...

1 appear in the numerator? In terms of fundamental/basic sets, and simplifying by substitution of the product of 2*3, the numerator n = {6}, the denominator...

by reducing the denominator (1/3 is less than 2/3) or increasing the numerator (2/4 is less than 2/3). I think it makes sense within the context of the...

fraction means, as the article says, is that the first number, or the numerator, is the standard distance of the optotype. The second number, or the denominator...

{\displaystyle [2^{2m+1};2^{2m+2}-1]} contains an even number of digits, so the numerators in this two fractions are the same. Denominator in the first fraction...

you're good with arithmetic, just put two equal complex numbers in the numerator of that expression and we know they should be complex conjugate of each...

multiple steps. C) (X-mu)^2/2*sigma^2 implies that sigma^2 is in the numerator but sigma^2 belongs in the denominator. CreateW (talk) 23:51, 12 February...

corresponding reflection coefficient on the ordinary image basis in that the numerator contains the complex conjugate of Z 0 {\displaystyle Z_{0}} . (Emphasis...

is obviously not Lorentz-invariant since the denominator but not the numerator will vary for variously moving observers (but is it Lorentz-covariant...

and using this as the numerator. Then I totaled all the works listed in the article and used that as the denominator. The numerator was divided by the denominator...

problem now is that conditional on time t-1 information, not only the numerator of the return R t + 1 {\displaystyle R_{t+1}} but also its denominator...

23:09, 16 April 2008 (UTC) Sacrifice hits are not included in either the numerator or the denominator. BRMo (talk) 23:35, 16 April 2008 (UTC) It's like significant...

error that makes it useless. Move the (square-root of mu) factor from numerator to denominator to correct the error. A units analysis of RHS will also...

well defined for distributions with infinite means, because both the numerator and the denominator are infinite. Duoduoduo (talk) 20:09, 9 May 2013 (UTC)...

one division and two multiplications per iteration (the squaring in the numerator can be re-used in the denominator). I do not count the factor of 3 in...

functions are expressed in terms of polinomials this means you can write the numerator as s*(s-a)*(s-b)*..... . You can easly construct a system which is not...

with the period being less than k + 1; the denominator won't divide the numerator, or there's a carry. And your representation should not be in the lead...

the same as e−. The formula for tCHUR appears wrong, with denominator = numerator. Is there any accepted value for CHUR(0)? If so please include the value...

convergents of a rapidly converging continued fraction for zeta(3). The numerators and denominators of these latter convergents, with a common factor of...

value(s)! That's off by almost 2.3%, so my guess is that the error is in the numerator. Multiplying it back out, I get 315/88, so maybe it is a typo? I'll leave...

0}f(z)=1} . Why cancellation of a zero of denominator by the zero of the numerator breaks the meromorphicity? I would say, such f {\displaystyle f} is meromorphic...

true). Your conclusion assumes that the numerator divided by 20 was scaled to 1 hekat. But Ahmes' numerator was a khar scaled to 5 hekat. Dividing one...

Signal-to-noise ratio with total signal (as opposed to wanted signal) in the numerator. The concept is the same. The math is slightly different. I think it would...

the log of the ratio of two powers to the difference of the log of the numerator and log of the denominator, since these have dimensions and the log function...

expressed in the base "number unit" (= 1) divided by a time unit, where the numerator is "the number of ones". The coherent SI unit for frequency is therefore...

fractions specifically tend to handle only 2 digits at most in each of the numerator and denominator). Given the esoteric usefulness of such listings, I propose...

the measure of this probability, which is thus only a fraction whose numerator is the number of favourable cases, and whose denominator is the number...

times at Covent Garden, that's exactly what I meant. Period. Yes, well, a numerator without a denominator is useless for calculating frequency. More facts:...

resources had he used free and open source software. Pavlyk wrote: "The numerator begins with 571642756... and ends with ...597039303." This result is false...

contradicts the first formula: There, the satellite mass only appears in the numerator of the formula given (via the "Inertia momentum" term). If we assume the...

somehow related to powers of two or three. The denominator is 311, but the numerator is, as far as I can tell, prime, so that doesn't have much to do with...

numerator] thirty second" I would regard that as big endian. If the number is spoken something like "two thirty [end denominator] one [end numerator]...

stated function is not actually the softmax – it's missing x_i in the numerator – and so it approximates the indicator function 1(x_j = max_i x_i) rather...

maintain a coherent form of writing), decimal fractions are avoided in the numerator or denominator (which is a widely accepted convention used in mathematics...

accomplishes is that it GREATLY tightens the vertical white space between the numerator of the fraction and the fraction horizontal line. That is the objective...

lurking again, alongside separate "terms" (albeit all within the same numerator and denominator) for the concentrations of the other permeant ions. If...

viscosities measured on a fluid with the imposed shear rate is 10x for the numerator is recognized academically, for what its worth. So, the question is, should...

\varepsilon \to 0} , is incomplete as is: one needs to explain how the numerator δ f ( x ) {\displaystyle \delta f(x)} depends on ε {\displaystyle \varepsilon...

2011 (UTC) The current revision of this article has hyphens between the numerator and demoninator in every case except for one half. I'm curious as to why...

method is mental math. Set up the difference of cross-products for the numerator of the value of each variable and another difference of cross-products...

denominator cancel and we can then cancel a factor of two between the numerator and the denominator to get the desired result, proving the formula for...

\infty }(-2)^{2n/(2n-1)}=\lim _{n\to \infty }2^{2n/(2n-1)}=2} (because the numerator of the exponent 2 n / ( 2 n − 1 ) {\displaystyle 2n/(2n-1)} is even)....

Paasche index, as both indices weight prices using quantities both in the numerator and the denominator... I'm not pretty sure, but think it depends on each...

to http://www.ppsw.rug.nl/~boomsma/confbin.pdf, the final term in the numerator under the square root sign should be (z squared)/(4n squared), not (z...

}{\frac {\sum _{m=0}^{n}A(n,m)x^{m}}{n!(1-x)^{n+1}}}.} Notice that the numerator on the right-hand side is the Eulerian polynomial shown at the top of...

(UTC) I do not understand how the term f(a) could be transferred to the numerator in the second step of the equation modifications. Macmak30 (talk) 09:02...

divisor D until the numerator N (minuend) is less than or equal to the divisor (subtrahend) D; at this point what is left of the numerator N -D -D ... -D =...

the equation should be be rate = (n/p)*1000, which puts 1000 in the numerator, and has another variable p for population in the denominator. I believe...

will get a transfer function H(s)=Iout/Vin which is nonsensical (the numerator polynomial is higher order than the denominator). If you solve parallel...

K_{d}^{macro}=K_{d}^{terminal}+K_{d}^{internal}} (2), with two terms in the numerator. It would seem that to obtain the simple sums (3) and (4), we must define...

can be identified as the quantity two instances of which enter in the numerator of Coulomb's law (as that law is written in each system). This identification...

'slot' ACorbs (talk) 14:07, 24 March 2010 (UTC) Hello. The portion "The numerator equates to the number of ways one can select the winning numbers multiplied...

page. I believe the correct calculation has NEXT year's payment as the numerator (*(1+g), but that is not really going to make a difference.Retail Investor...

I), assuming C as tonic. That's four extensions of the prime 3 in the numerator of your ratios (which gives you the odentity 81 in Partch's terms). You...

generalized with the proper variable in the numerator and a notation that "for 99% confidence, (numerator) is 1.27". Also, several references I've seen...

denominators of the results are the positions of the exponents in the numerator in the sequence of odd numbers. Also this is a special case? To see the...

source for it. A quick fair-use highlight reel of the Cell paper: Both the numerator (number of microbial cells) and the denominator (human cells) of this...

possible fractions using arbitrary numerators and denominators, the estimate is simply the product of the numerator times the denominator, thus giving...

4th image in the example section is incorrect. The determinant in the numerator is calculated in correctly. Sorry I cannot fix it right now,will someone...

T_{k}={\begin{bmatrix}n\\k\end{bmatrix}}={n! \over k!(({n \over k})!)^{k}}} The numerator is the number of ways to permute the order of the n-element set members...

(8th-degree polynomial in the numerator, the simplest of irreducible quadratic polynomials in the denominator, the numerator having such symmetry and being...

you're approaching from in the denominator, as well as the sign of the numerator. It may be useful to have a pretty graph in the article to illustrate...

that most fonts—even those that do a fairly decent job with single digit numerators and denominators—do not render according to Unicode expectations. Apple...

can be made distinct moved to a new section. Worst-case length for each numerator and behavior of the greedy algorithm separated into two paragraphs. Modular...

19 February 2014 (UTC) If denominator approaches zero (#medals), while numerator (population) is a finite number larger than zero, the outcome of the division...

equation actually correct? Should it be (N - N1 - . . . - Nk-1)! in the numerator? [12:31, 11 July 2006 (AGS)] In the "A derivation of the Maxwell–Boltzmann...

definition. What makes this one different? True. I just didn't notice that the numerator was sublinear. Ovinus (talk) 19:08, 20 April 2022 (UTC) "Erdős's construction...

for the sample kurtosis is incorrect (n should be in denominator, not numerator). I fixed it. Neema Sep 7, 2005 The statement, "This is because the kurtosis...

denominator at most ∏ ( d i + 1 ) {\displaystyle \prod {(d_{i}+1)}} , and numerator at most nn times that, so the lengths are polynominal in n, and hence...

Value' for for a ten shot MR, which is found on Table 5. Similarly, the numerators are for the 'Mean Value' numbers for Extreme Spread (Table 6) at two different...

we could perhaps get away with it by forbidding singleton sets in the numerator (in other words, choose a smaller sigma-algebra of measurable sets: I...

at the end. Shouldn't it be still there as there are two "NaCl" in the numerator while there is one "NaCl"in the denominator, ( 2.00  g NaCl 1 ) ( 1  mol...

tenth-part. Decimals are a string of tenth-parts, specifically a continued-numerator fraction. A decimal carries and borrows to the next higher place by 10...

by 100, it would become even more inaccurate. May be you mean multiply numerator by 100. Anyway, does anybody know of any reference to it. Else we should...

defined, at least! Nick Barnett (talk) 08:04, 9 February 2020 (UTC) The numerator terms in the formula after 'The quota is found by' need clarification:...

formula is shown,,, not the discount yield... the difference is 360 in the numerator, and 'face value' in the denominator. about this formula: Discount Yield...

This sentence occurs in the lead paragraphs. 95% of what? What are the numerator and denominator in this "95 percent"? — Preceding unsigned comment added...

this includes all integers (fractions where the denominator divides the numerator). Basically I don't see any reason to split decimal into integer and non-integer...

*[cos^2(t)-sin^2(t)]/cos^2(t). The 4's in numerator and denominator cancel, as do the sin(t)'s in numerator and denominator, as do the terms in square...

votes for Lincoln) were not counted, reducing both Lincoln's total (the numerator) and the total number of electors appointed (the denominator) by 17. In...

Baccyak4H (Yak!) 19:22, 16 June 2009 (UTC) More precisely: in some cases, when the numerator and denominator both diverge to infinity, the fraction itself diverges...

expression on the right side is correct. That ratio has the function as the numerator and the derivative of the function as the denominator. See: http://en...

formula has an error in it -- it is missing a closing bracket in the numerator. Here is how the formulae are at present (07/Feb/2010): When there is...

hand. In that case, different activities of the H2O molecule appear in numerator and denominator, giving the value 55 or -1.74. Thermodynamically, of course...

same format and type a minimum of four new citations are needed for the numerator and denominator of new input calculation (1 Global deaths & 2 Pop, 3 Hubei...

deformation is the oscillator ratio (OR). In western countries the OR's numerator expresses the relative extent of the matter wave in the polar direction...

only had odd numerators, though. Guy Harris (talk) 02:05, 24 June 2014 (UTC) Because, if the denominator is even, you only need odd numerators. The usual...

Tractor-Train shall be set by multiplying $6.00 by a fraction having as the numerator the CPI in the year Traffic Availability Date is achieved and having as...

you're absolutely right; the minimum is taken over the error in the numerator, not the absolute errors of the approximations. If you have any suggestions...

in the main article). Here's what he says: "For one thing, its meter numerators may be limited to powers of 2, but its denominators go up to 99. I don’t...

difference vector in the numerator. Perhaps it would be clearer to state the formula using the normalized difference vector in the numerator, and the square of...

pentagon, the next numerator is the last denominator, the next denominator is the sum of the last denominator and the last numerator, this argument of...

in fact I think it pretty much has to be a proper fraction, with the numerator less than the denominator). What's true is that if you want to write 2...

fixed cost diminishes as output rises; simply because the fixed cost numerator is a constant, and rises in the (quantity in the) denominator will make...

below), though I don't think any of these is the original source. The numerator should be 0.6745, and at best the formula is only an approximation that...

(UTC) this doesn't make sense, the denominator can not be bigger than the numerator. fact check someone? —Preceding unsigned comment added by 99.231.24.124...

(talk) 17:49, 9 June 2011 (UTC) So, here it comes: The Taylor-expansion in numerator and denominator need the following approximation to hold (which is far...

have stated, the f-number is the denominator of the expression, not the numerator or the entire expression itself, as Sidney Ray states in the Manual of...

When a is negative, there are two distinct mathematical interpretations: Numerator precedence: ( a 3 ) 1 / 2 {\displaystyle \displaystyle (a^{3})^{1/2}}...

numerator and the denominator, UNLIKE Algr's f(x) = x+1. Notice that there are no conditional operations; the function adds 1 to both the numerator and...

(talk) 23:09, 7 March 2011 (UTC) Technically yes. But in that case the numerator is necessarily zero so the result would always be not-a-number (NaN) rather...

not important to note that for numbers with a common denominator, the numerators can simply be added? a c + b c = a + b c {\displaystyle {\frac {a}{c}}+{\frac...

distributive law and cancel the m in the denominator leaving an m in the numerator which is what you want. As for the other point ... ( 2 π m k T ) − 3 /...

the centre of the Earth. If the magnetic force numerator is smaller than the gravitational force numerator, then the graphs of the two forces can indeed...

the copy-editor seems to have missed that the (N-2) expression in the numerator must be squared. Not only does this resolve the conflict between (6.5)...

or "HHV". "Lower Heating Value" or "LHV" is similar, except that the numerator is equal to the energy content minus the heat that the combustion products...

delta phase angle divided by minus Hertz. The minus can be brought to the numerator without changing the equation. So it's minus delta phase angle divided...

is even, and the other shows a calculation when v is odd. Each shows a numerator series and a denominator series. At the right end of each series is a...

2009 (UTC) I'm concerned that there appears to be a sign error in the numerator of the expression for Rp. Hecht (pp 114, 115, 4th ed) and Born and Wolf...

denominator, RL gets put in the denominator of R^2 when it should be in the numerator. When we switch everything, then RL goes in the denominator (which we...

f() is density? 84.16.123.194 (talk) 12:08, 20 December 2008 (UTC) The numerator is listed as: f(m=7 | r,n=10)*f(r). It should be: f(m=7, n=10 | r)*f(r)...

look at the code you can see that it is not a fraction, it is integer or numerator of this fraction, so while saying that they write arithmetic encoder they...

by themselves) where numbers1.denominator <= sqrt(numbers2.numerator) and remainder(numerator, denominator) = 0 ) ) where N = 30; Jonearles 02:27, 14 June...

customer count has increased by a good multiple. Does anyone have the numerators and denominators (ie spend and customer count) for each company? MikesPlant...

you have to regard a fraction as being even if its numerator is even, and odd if the numerator is odd. So, for example, 1/5 -> 8/5 -> 4/5 -> 2/5 ->...

including US citizens residing abroad. The sources also differ in their numerator: the states tend to use all votes including invalid votes; the Census...

cancels out with factors of the sine which are scattered throughout the numerator. I do not know if that is related to this issue or not. JRSpriggs (talk)...

rational number is any number expressable as a fraction in which the numerator and denominator are integers, such as 7/3. Michael Hardy 21:33, 1 Sep...

watt-hour-per-year. To me, the whole idea of having time units in both the numerator and the denominator seems silly. Owen× ☎ 14:32, 24 March 2009 (UTC) Information...

comments: The Physical Review style guide recommends using slashes in the numerator and denominator of fractions "except where excessive bracketing would...

magnitude of the kilogram because the newton appears once in both its numerator and denominator (watt/amp). In turn, the TESLA too is not affected." Is...

better than average ability to represent rational numbers with small numerators and denominators". I'm not saying that EDO doesn't have the connotation...

insight on the parties views and positions. I would propose removing this. Numerator*over*Denominator (talk) 03:00, 19 November 2020 (UTC) I would like to...

-- in base 10, any fraction (where common factors are removed from the numerator and denominator) whose denominator is divisible by any prime other than...

work with irreducible fractions, this means that common factors from numerator and denominator have to be determined by Euclid's algorithm, which is...

the absolute value of the denomenator must be larger or equal to the numerator, hence u . v <= ||u|| ||v|| TheDarkLeaf 17:30, 19 June 2005 (AEST) But...

English-language page, including many of the inference rules expressed in numerator/denominator form, while the Russian page has almost no information at...

(1+n)/(1+n), and simply "multiplying out" (the literal translation) all the numerator terms. Nothing mysterious here. It is also very easy to find a general...

single real number from 0 to 1, often expressed as a fraction, where the numerator is total choices. Thus, a one-out-of-four chance has a probability of...

dissociation constant is defined as a ratio of concentrations, two in the numerator of the fraction and one in the denominator. It usually (but not necessarily)...

represented, breed-specific fatality rates should be calculated. The numerator for such rates requires complete ascertainment of deaths and an accurate...

it into the derivative of another function, after recognizing that the numerator and denominator both evaluate to 0 at the point where you're taking the...

6,6,12,12,20,20.... and for 3:1 THRICE and so on. In other words the numerator of the oscillator ratio MULTIPLIES usage of the doubled triangular number...

equation, the permeability of the core is accounted for by the μ2 in the numerator. It also has μ0 in the denominator, as you noted, which makes it a little...

fraction that has 1 as the numerator and 0 as the denominator. For each subsequent fraction, the numerator is the numerator of the previous fraction +...

(b-a)^2 in a denominator) need a fix (cancel out the (b-a)^2 from the numerator). (gentlemath at a public computer) —Preceding unsigned comment added...

notation t,x,y,z -> T,X,Y,Z, and hopefully got everything changed) correct numerator cosh to sinh in third expression for T at the top of the article (occurs...

tally of votes counted for highest office, 136,669,237, (which is used as numerator in the calculation to determine turnout rate) but didn't tabulate the...

you need to compute over the rational numbers (quite likely with bignum numerator/denominator). Even more so for the case of polynomials/rational functions...

voltage drop across the inductor term in the denominator, only in the numerator. Naumz (talk) 11:50, 14 May 2009 (UTC) Should the article not point out...

you're absolutely right; the minimum is taken over the error in the numerator, not the absolute errors of the approximations. If you have any suggestions...

treat the quantity above the numerator as if it were enclosed in a parenthesis, and to treat the quantity below the numerator as if it were enclosed in yet...

says "η2 are comparable to r2 when df of the numerator equals 1" and later says "When the df of the numerator exceeds 1, eta-squared is comparable to R-squared"...

the faculty totals, which incorrectly included emeritus professors for numerator (award winners) and not for denominator (total number of faculty). Now...

Jurgen Hissen 21:23, 18 May 2006 (UTC) Notice the factor of N^2 in the numerator. Ordinarily when winding a solenoid with real wire, each turn takes up...

characterization as rational series needs an extra requirement on the degree of the numerator. But on the other hand it does fix the characterization as exponential...

{1}{n}}+{\tfrac {n}{1}})={\tfrac {n^{2}+1}{n+1}}\approx n-1} (where the first numerator and denominator are the numbers of edges and vertices, and the two fractions...

column vectors, so the denominators vTw are scalar products, but the numerators vwT are n-by-n matrices. Algebraist 12:16, 1 March 2009 (UTC) It wasn't...

approaches 0, just because the numerator and denominator both approach 0. For the fraction to approach 1, we need the numerator and denominator to approach...

2^4)+...nicer than (4/5) as base in numerators, and similarly, with x=sqrt(2), (1/3) would be the base in the numerators 63.155.84.134 (talk) 17:32, 8 September...

it, and of when it should or should not be taken as the same in both numerator and denominator. To my mind an article which does not address these issues...

m (except infinity). Is 0.9999... still rational? If so, please give numerator and denominator; if not, then why should "being less than 1" be preserved...

gave would be very similiar, but first you would have to rewrite the numerator and denominator through expansion, and then multiply the expression by...

sets up some sort of cycle: one takes the number of days given in the numerator, and divides it into the number of months given in the denominator (devising...

formatted, a bug with "[[]]" and sfrac. For example, for 45%, instead of 45 (numerator) appearing above the line over 100 (denominator), it appears over a "/"...

Black Carrot (talk) 06:58, 12 August 2008 (UTC) If the degree of the numerator is more than 1 larger than the degree of the denominator, there will generally...

anything. The only changes involved are increases to denominators and to numerators. But a somewhat-related mathematical concept that does involve a reduction...

Arithmetic is done in both techniques. Whereas in the previous technique the numerator is added and the denominator is selected as the right-most bit. The above...

actually if you limit the range to the range of the tablet and use for X numerators and denominators that are regular numbers up to 125, then the Plimpton...

good symbol for the Cotes angle, adopting a symbol that appears in the numerator rather than the denominator of most common expressions is a strong consideration...

indeed come up with a mathematical problem because you get a zero in the numerator. A negative velocity is just a representation of motion in the opposite...

fraction that has 1 as the numerator and 0 as the denominator. For each subsequent fraction, the numerator is the numerator of the previous fraction +...

getting one beat, in the context of the typical time signature of 4/4. The 'numerator' says there are 4 beats to the measure, and the 'denominator' says a quarter...

unaware of that earlier): the numerator is shown where usually the denominator is placed, and then under the numerator we have the - and the denominator...

provided as an example is not undefined at f(1). You merely factor the numerator and divide. I would suggest using a function such as that shown in http://en...

rather than taking recropicals of the function in the numerator and denominator? Bubba73 You talkin' to me? 01:12, 11 May 2024 (UTC) Other...

returns (denominator decreases) while the wage rate remains constant (numerator unchanged). The combined effect is that as more labor is hired to increase...

a ratio is, but it requires some focus to read for a layman when the numerator and denominator are 10 words apart. I'm not sure but I would guess that...

derived from the other, and it's completely trivial: Just multiply both the numerator and the denominator by the same thing; you need to figure out which thing...

scored per game," you might get the wrong answer if you use the right numerator but the wrong denominator. Although the NCAA vacates wins in their database...

pregnancies occuring when rules were not followed are included in the numerator of the calculation for User-related rates; all pregnancies are used in...

cosine wave has numerator s. However, based on http://mathworld.wolfram.com/LaplaceTransform.html, I would think it would have numerator s + α .--GregRM...

to refer to a partial derivative. This is not a fraction, and has no numerator or denominator. In general the statement is also false, as the partial...

ratios stated don't make mathematical or musical sense - in some cases the numerator is larger than the denominator, in some cases the reverse. . The ratios...

selection criteria); and then you've applied an average using an uncertain numerator over an uncertain denominator. Of course, it suits your POV to say "one...

contain enough information (for e.g if the number of arrivals is the numerator, what is the denominator or quantum? What world events may have affected...

between pe and po but actually p o − p e {\displaystyle p_{o}-p_{e}} (numerator of Cohen's Kappa) is highly dependent on this variance and covariance...

proved about manipulations of limits, sums, products, what happens when numerator goes to zero, what happens when it goes to infinity. In Keisler's approach...

in probability it does not, since here these factorials influence the numerator and denominator so that ultimately nothing changes. The other context...

integer i such that a i ≠ 0. {\displaystyle a_{i}\neq 0.} » What if the numerator n i {\displaystyle n_{i}} is divisible by p ?? You do not elaborate true...

100.1, and has unspecified base (log 100.1 is not just 0.1). Of course, numerator and denominator must have the same (unspecified) base. There is some abuse...

of mountain, R radius Earth, θ the dip angle. Because cos θ ≈ 1, the numerator of the expression for R can be considered to be equal to h: the formula...

January 2021 (UTC) I agree. It's not clear why there are scalars in the numerators and matrices in the denominators. Perhaps "1 / BLAH" simply means BLAH^-1...

approximant, as all fractions with smaller denominator (or with smaller numerator) are poorer approximations. Comparing it to other approximants involving...

functions don't exactly go to infinity because for repeated knots the numerator also goes to zero, although the expression is of course still undefined...

tries.24.127.190.251 (talk) 17:08, 7 August 2020 (UTC)draypresct The numerator should be pe^t instead of p. The following link can support this http://www...

kilo and the multiplier can be concatenated with the first term in the numerator. (However, it is difficult to see any advantage of the multiplier in this...

February 2011 (UTC) Only the latter is correct. For the constant in the numerator of the last term, the precise value is   ( 7 / 3 − e γ log ⁡ log ⁡ 12...

{\displaystyle x=a} ⁠. If ⁠ a {\displaystyle a} ⁠ is a root of both the numerator and denominator, then the function has an infinite discontinuity only...

mathematical POV, if you hold Rydberg's constant and just make the h in the numerator -> 0, blackbody radiation is the outcome but as you say doesnt mke sense...

Coulomb in the numerator is not a quantity of charge - it is the total electric flux along a closed path. Likewise, the volt in the numerator is not a potential...