gets the ideia that the Heat equation is also an Eliptic pde (the page elliptic partial differential equation redirects here), when it is in fact a Parabolic...

in an elliptic curve. A real elliptic function can also be defined in the same way. Either a is real and b imaginary (in which case the elliptic curve...

Mathematica definition of EllipticK. I used Mathematica to evaluate an integral, which ended up being essentially EllipticK function. I then read the...

05:00, 30 August 2009 (UTC) "In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions, that have...

The comment(s) below were originally left at Talk:Elliptic unit/CommentsTalk:Elliptic unit/Comments, and are posted here for posterity. Following several...

-- Geronimo Jones See www.nist.gov/encryption for a list of recommended elliptic curves. ANSI X9 requires a minimum of 80 bits of *symmetric key equivalent*...

texts these are topologically distinct but with the same local curvature. Elliptic geometry is the one where the poles in spherical geometry are identified...

current coverage (this redirects to elliptic operator) given to the subject in WP ( proposition at Talk:Elliptic_operator#split). I find I agree. Also...

Weierstrass elliptic function (parameterises an elliptic curve) => elliptic integral => arc length of an ellipse. I tend to think of the name "elliptic curve"...

This page should be merged with the page the same topic at Elliptic curve primality proving. This one is more detailed. I won't find time for this. TLange...

elliptic regularity is usually about solutions of an elliptic pde having more regularity than "initially expected" because of the regularity of the involved...

an elliptic curve defined over the integers becomes supersingular when reduced mod p, we say p is a supersingular prime for that particular elliptic curve"...

this page should be about Pe-related formulae, and the general elliptic function and elliptic curve theory should live somewhere else. Charles Matthews 08:57...

already a page about Jacobi elliptic functions, I find it appropriate that there should also be a presentation of the elliptic functions of Abel which historically...

that stuff like Elliptic operator should just point here. Linkage should probably be added from everything that depends on elliptic operators, like Sturm-Liouville...

The introduction to the article contains the following quote: "the bi-elliptic transfer may require a lower amount of total delta-v than a Hohmann transfer...

the page for Jacobi elliptic functions, it says "The second variable might be given in terms of the parameter m, or as the elliptic modulus k, where k^2=m"...

say: "An elliptic orbit is a Kepler orbit with the eccentricity greater than 0 and less than 1." It is fine to have a figure with an elliptic orbit but...

section, after the sentence about Wells Fargo's investment In April 2020, Elliptic named Simone Maini, previously chief operating officer, as CEO, succeeding...

might not learn any ideas how to actually find the rank of a specific elliptic curve. Moreover, the last sentence of the intro (starting with “In other...

noticed the pattern produced by the overlapping circles is that of the elliptical coordinate system. Good to know. SharkD  Talk  18:33, 11 June 2011 (UTC)...

detailed article. Also, is it vulnerable to the attacks described on the elliptic curve article, or to other ones? http://rump2007.cr.yp.to/15-shumow.pdf...

I think the definition should refer to an elliptic curve with complex multiplication by √-d rather than defined over Q(√-d), in spite of the Planet Math...

Elliptic Curves. (AM-108) is the authoritative reference Mumford 129-139 contains construction for all abelian varieties, special this for elliptic curves...

There is a more detailed page about the same topic at Elliptic Curve Primality Testing, this should be merged into this one (better title). I won't find...

and more explanation of the relationship to elliptic integrals and to Weierstrass/Jacobi or other elliptic functions with the same lattice, add citations...

that does indeed not need modular reductions and hencecan be used with elliptic curves with unknown order. This variant has several disadvantages however...

If this is correct (and the linked Elliptic Curve Data by John Cremona lists conductors as integera), then it would improve the readability of this article...

Of course all orbits are ellipses, there is no such thing as a "highly elliptical" orbit. Likely that terminology comes from the Spacecraft Systems Engineering...

pointing out an increased pressure gradient along the short axis of the elliptical or almond shaped collision overlap. Also shown where the azimuth is. And...

12:35, 18 June 2019 (UTC) Supersingular prime (for an elliptic curve) → Supersingular prime (elliptic curve) – The current title uses a nonstandard disambiguator...

confused me at first but I found an explanation. Nutshell version: an elliptic curve plotted on a simple X,Y grid bends back and forth in such a way that...

same logic doesn't apply to the EC factoring method. Current theory on elliptic curves, I believe, does not give any asymptotic advantage in implementing...

improving bone density (loss of calcium)." --- What is trying to be said? ... Elliptical trainers, with its lower impact, do not help improve bone density as much...

categories. The sentance "There is a wide range in size and mass for elliptical galaxies: as small as a tenth of a kiloparsec to over 100 kiloparsecs...

An elliptical wing is not the same thing as rounded wingtips which is what 109's have. Spitfire and P-47 are the best known aircraft with elliptical wings...

WP:RECENTISM angle to this Wikipedia:Redirects_for_discussion/Log/2020_August_17#Elliptical, but fundamentally per Apple Inc / Apple the shape is both the root and...

example [1]. I reverted an edit that altered the article to describe elliptical and circular polarization as part of a broader category called "helical...

it's endowed with the proper metric, it becomes known as elliptic space in the sense of elliptic geometry. Shouldn't this article be changed so that every...

I am not sure the following statement is always true: "Elliptical distributions are important in portfolio theory because if the returns on all assets...

article. Should be merged into Weierstrass elliptic function, and possibly also expanded a bit at Dixon elliptic functions. –jacobolus (t) 02:07, 13 August...

edu/~krubin/rubincv.pdf Need to fix each citation according to Wikipedia standard Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer...

parameters to elliptic functions, or it can be thought of as a function itself, because the half periods can be given in terms of the elliptic modulus or...

Weierstrass equation for an elliptic curve; it is satisfied by the Weierstrass P-function, a meromorphic function on a fixed elliptic curve, and has nothing...

follows in the Formulation section: "Further data needed relates to the elliptic complex of vector bundles Ej, namely a bundle map from φj:f−1 Ej → Ej for...

The section on surfaces of Kodaira dimension 1 seems to suggest that an elliptic surface is of Kodaira dimension 1 if and only if the genus of the base...

supersingular? Minded17 04:04, 11 February 2007 (UTC) A supersingular elliptic curve iover a field with p elements is one with Hasse invariant = 0; it...

this class as “tesselations [sic] of the elliptic plane” (1974), and Coxeter makes one mention of an “elliptic tessellation” (1970) (only Google books...

Generalizations, the section Divergence form elliptic operators begins as follows: "Solutions to a uniformly elliptic partial differential equation with divergence...

about the Jacobi zeta function and Jacobi zn is already in Elliptic integral and Jacobi elliptic functions. Moreover, the contents of this article are mostly...

(maybe me) will soon supply articles Conductor of an elliptic curve and Discriminant of an elliptic curve. Richard Pinch (talk) 19:00, 11 August 2008 (UTC)...

@Steelpillow: : The context is given at elliptic geometry#Elliptic space where points are versors. The point 1 has angle 0 and r arbitrary. The variable...

The section Elliptic modulus begins as follows: "The function λ*(x) gives the value of the elliptic modulus k, for which the complete elliptic integral of...

that occupies a bit of that space" make "parabolic" more accurate than "elliptical" at this altitude range? Sincerely asking, because I know parabolic models...

and vector bundle. All of these operators are second order, linear, and elliptic. Jjauregui (talk) 20:47, 13 February 2008 (UTC) What about Hecke operators...

The article says there are only 3 dwarf elliptical galaxies in the Local Group. However, according to the [Local Group] article, most of the galaxies in...

I've changed the phrase "elliptic-lik" to "near elliptical", since the original is not an English word. I believe "elliptic-like" was intended, for which...

rational numbers are just as exhausted by the transformation equations of elliptical functions with singular modules, as the integer Abel’s equations are by...

{Tate, John}, TITLE = {A review of non-{A}rchimedean elliptic functions}, BOOKTITLE = {Elliptic curves, modular forms, \& {F}ermat's last theorem ({H}ong...

know? linas 01:56, 19 January 2006 (UTC) Serge Lang, Elliptic Functions might suit you. Every elliptic curve is C/Λ for a lattice Λ, but the cases where...

Maybe it could be included in this page? 2. Are there hyperbolic Dixon elliptic functions? Like which are related to this curve x 3 + ω y 3 = 1 {\displaystyle...

conductors that are a multiple of 27, or not? Are elliptic curves without semistable reduction the same as elliptic curves over the rationals whose conductors...

negative via a perturbation, e.g. a hyperbolic trajectory that becomes elliptic due to orbital insertion. "MGS Mission Plan Section 5. Orbit Insertion...

dating back to the 17th century if not before just call it an elliptic trammel or elliptic compass or the like. Dörrie (1965) [1932] just calls it a trammel...

saying that it relates L-function "to" elliptic curves. It relates properties of the L-functions of elliptic curves to arithmetic/algebraic properties...

tensor bundle formed by symmetric powers. The important property for being elliptic is that the symbol should have no real zeroes, other than e.g. p=q=0. If...

2023 (UTC) The section Hodge theory of elliptic complexes" begins as follows: "Atiyah and Bott defined elliptic complexes as a generalization of the de...

This should be merged into orbit: all orbits are conic sections, with elliptical orbits as the norm, and circular and hyperbolic orbits as special cases...

metallic specula only, and thus succeeded in giving them true parabolic and elliptic shapes" (emphasis added). I'm not an expert in the history of telescopes...

2012 (UTC) I propose to turn this page into the redirect to Weierstrass's elliptic functions (WP hereafter). Let me first give a summary: The two alleged...

222 23:27, 31 May 2006 (UTC) Does this conjecture have implication for elliptic curve cryptography? 18.209.1.137 12:46, 16 November 2006 (UTC) No. Why...

What notations are most widely used for the elliptic integrals?...

for the argument q in elliptic function theory comes from a Greek word meaning to partition or divide. Many identities in elliptic function theory have...

described by Guyou, involving elliptic coordinates on the sphere and the use of tables of elliptic integrals. The elliptic coordinates do not form an isometric...

refers to the 2-dimensional case of elliptic geometry. Any objections? Boud (talk) 23:38, 15 November 2014 (UTC) Elliptic, flat, and hyperbolic are synonyms...

Surely this material belongs to Elliptic curve#Isogeny? There's no mention of dual varieties in it, after all. Richard Pinch (talk) 17:57, 13 August 2008...

August 2010 (UTC) The legend to this image states that it is elliptic. I thought that an elliptic surface had positive curvature and no parallel lines - this...

don't understand what you mean by "the Jacobi elliptic explanation". There is no reference to "Jacobi elliptic" in the article. By all means, check the summation...

shouldn't there be bio of the one who invented this form of Elliptic Integrals? Bille Carlson. He did very important work. According to http://dlmf.nist...

January 2008 (UTC) The statement concerning elliptic functions and elliptic curves sounds wrong. What "elliptic curves" did the author have in mind? An ellipse...

don't take sides. — Matt Crypto 17:39, 12 December 2005 (UTC) The Case for Elliptic Curve Cryptography, National Security Agency discusses the patent situation...

http://www.google.com/patents/US20070189527 US Patent US20070189527, "Elliptic curve random number generation" to Daniel Brown, Scott Vanstone, which...

fact that 1s is circular and the elliptic orbits appear at higher energies, they often understand that the elliptic orbits correspond to the p orbitals...

moduli space of elliptic curves. Teichmüller space is the moduli space of marked elliptic curves: a point \tau in H^2 gives an elliptic curve C/(Z + Z\tau)...

Hello fellow Wikipedians, I have just modified one external link on Elliptics. Please take a moment to review my edit. If you have any questions, or need...

an elliptic cylinder that is represented, but most readers will see a circular cylinder with oblique plane sections (that are therefore elliptic). So...

"helper" functions which are understood entirely in context of Weierstrass elliptic function, and don’t seem independent enough to deserve a separate article...

Your link [2] makes no reference whatsoever to the Sagittarius Dwarf Elliptical Galaxy, so is not remotely relevant to this article. I have reluctantly...

should come first: "It is also used to numerically solve parabolic and elliptic partial differential equations, and is a classic method used for modeling...

algebraic groups as well (for example weak approximation need not hold in elliptic curves, even though they are rational and connected). ~2026-25264-46 (talk)...

helicons and the concert tuba. A tuba whose tubing is wrapped into an elliptic shape to be held in the player's lap is often referred to as a concert...

Index is more useful for studying galaxy evolution than the more common elliptic and spiral designations. Using Herschel, GAMA, and Hubble data they conclude...

exist along the curves.", I suspect that the reference to Weierstrass elliptic functions is wrong and should be Weierstrass excess function instead....

following sentence is not true. It's true for hyperbolic geometry, but not elliptic geometry. The parallel postulate is the only postulate of Euclidean geometry...

agree with the current definition in Highly_elliptical_orbit "A highly elliptical orbit (HEO) is an elliptic orbit with high eccentricity" which includes...

an explanation of the concept of group, with examples that aren't even elliptic curves.--345Kai (talk) 02:07, 19 November 2012 (UTC) I tried taking a look...

Elliptical orbits and NOT "elliptic orbits", and they have been "Elliptical orbits" ever since the time of Johannes Kepler and Sir Isaac Newton. 98.67...

the introduction of the book, and not explained here, is that showing elliptic orbits is a favorite calculus problem, and Newton would have done that...

dozens of projections, as he describes in Conformal Projections Based on Elliptic Functions and other works. There is no literature that calls this particular...

this page is even more reason to do so. 2. The elliptic integral is a special case of hyper elliptic integral and shouldn't be excluded, i.e., degree...

article claims that in the case of obtuse angle, the quadrilateral leads to elliptical geometry, but both Morris Kline (Mathematical Thought From Ancient to...

The previous version implied that that the elliptic curve could either be viewed as a branched cover of C or of D, with branching over the intersection...

situation is complicated. See nonEuclidean geometry, elliptic geometry and absolute geometry. Elliptic, and hyperbolic geometry , both discovered in the...

abelian surfaces are jacobians of genus 2 curves or products of jacobians of elliptic curves The Cohomology of the Moduli Space of Abelian Varieties - https://arxiv...

suggested) (help) Ciarlet, Philippe G. (2002). The finite element method for elliptic problems ((SIAM Classics reprint) ed.). ISBN 0898715148. OCLC 48892573...

good--Billymac00 (talk) 20:06, 24 April 2008 (UTC) Re. hyperbolic, parabolic, elliptic, these terms are still used when discussing differential equations 19 Feb...

the leaves are usually elliptic-ovate Olea europaea subsp africana is also variable, but its leaves are usually narrowly elliptic, usually less than 15mm...

these inequalities are due to Shmuel Agmon, possibly from his "Lectures In Elliptic Boundary Value Problems." Can anyone confirm this? — Preceding unsigned...

leaves are petioled and ovate to elliptic, measuring 1 to 4 cm in length, while the distal leaves are sessile and elliptic, measuring 1 to 2 cm in length...

see Elliptic integral#Computation. It seems that you accidentally mixed up the complete elliptic integral of the first kind and the complete elliptic integral...

associated with uses and methods. Another set is the ellipse, an elliptic integral and an elliptical oval. This is just an impression and not intended to be the...

hard to find the discrete logarithm with more than 120 bits in case of elliptic curves. But this is not my question. My question is, might someone know...

Wundzer (talk) 22:18, 17 June 2020 (UTC) Intro to HMS in the case of Elliptic curves - https://arxiv.org/abs/1501.00730 Homological mirror symmetry for...

is used in geometric optics to specify oblate elliptical (K > 0), spherical (K = 0), prolate elliptical (0 > K > −1), parabolic (K = −1), and hyperbolic...

The case m = 2 {\displaystyle m=2} and d = 3 {\displaystyle d=3} is an elliptic curve, the case m = 2 {\displaystyle m=2} and d ≥ 5 {\displaystyle d\geq...

added by 24.10.14.212 (talk) 05:37, 30 August 2006 (UTC) It's a special elliptic paraboloid of revolution with a=b=1. You get it by rotating the parabola...

a short autobiography because there was at least one link to me (From Elliptic Curve Cryptography). I understand the Wikipedia policy, but this bio was...

which would be nice to include in the article as well. "An Overview of Elliptic Curve Primality Proving" (2011) at http://www.stanford...

y² / b² = 1. SharkD  ☎  19:17, 3 August 2018 (UTC) Should also mention Elliptic coordinate system somewhere, since that's an example of confocal ellipses...

It starts by saying that "hyperbolic distance" and "Elliptic distance" between two points a {\displaystyle a} and b {\displaystyle b} differ by a scalar...

{2A^{3}-9A}{27B^{3}}}} See Okeya, K.; Kurumatani, H.; Sakurai, K. (2000). "Elliptic Curves with the Montgomery-Form and Their Cryptographic Applications"....

including monodromy are needed! This should include weierstrauss family of elliptic curves use of log-structures/log-connections constructible sheaves from...

contribs) Thanks! Just to clarify, I admit I haven't the faintest about elliptic curve math, but when I see IP users arbitrarily changing bits of math without...

Schoof algorithm, but actually the notion is defined for any model of elliptic curves, not just short Weierstrass form. Also they are normally defined...

I'm not a Czech language speaker, but I'm sure that these concise and elliptic paragraphs don't sustain scientifically the statement: "In the early 2010s...

Name: Hermite, Charles Dates: 1822 – 1901 Contribs: number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, algebra...

some things going wrong in this list. Why are curves like elliptic curves and hyper-elliptic curves sorted under rational curves? They are not rational...

meaning that the later (than juvenile) leaves are lance-shaped, rather than elliptic to oblong. Your spelling corrections in other plant article are much appreciated...

contribs) 16:33, 15 February 2007 (UTC). The wheel is described as being two "elliptical circles" that are joined. Are they ellipses? or circles? I don't know...

of numerical analysis of elliptic integrals, in order to say it is "surprising". This may come from a text on either elliptic integrals, or numerical analysis...

know because we don't have a source. The same is true for the section on elliptic coordinates. In my opinion these sections are not encyclopedic for the...

"Football (elliptical)" or "elliptical football" is a nonsense term, i.e. it is not used anywhere except here. There is therefore no need for this page...

fiber is not aligned with its principal stress direction, it is NOT elliptically polarized as indicated in the article. In this case, the linearly polarized...

Ribet proves that Frey's elliptic equation is non modular (and it and Fermat's equality do not exist). Wiles proves that all elliptic equations are modular...

indicated that the vast majority of dwarf ellipticals have properties that are not at all similar to elliptical galaxies, but are closer to irregular and...

Missing here is the near-elliptical = ovid shape. Linked from Ellipse#Elliptical_gears. --Helium4 (talk) 18:58, 16 March 2011 (UTC)...

note: I got to know related stuff when I was counting the order of an elliptic curve, and do Tate paring. I have to go back to read those related stuff...

for example, in the proof of the Mordell–Weil_theorem (see for example Elliptic_curve#The_structure_of_rational_points). Deltahedron (talk) 11:56, 7 April...

forms, or rather their Jacobians + the Shimura construction of a related elliptic curve. I am just asking about disambiguation ... Notation - Z2 isn't the...

Love-Waves are horizontal polarized shearwaves, so the particles do NOT have an elliptic movement - just perpendicular to the direction of propagation. http://web...

the comments. In view of the research I've done into the sources on the elliptical orbits issue and the Islamic heliocentric claims, I'm removing the former...

the periapsis cannot be passed these are different cases (except for the elliptic trajectory), and you cannot say "time since" for the case where it should...

This article is elliptic. There have been significant changes in strategy, location and hosts. None of it is mentioned. Parts of the article are literal...

fame when his 1900 doctoral thesis, entitled Clifford's parallelism in elliptic spaces, was discussed in a widely read work on differential geometry published...

(i.e three body problems) even the most perfect circular orbits become elliptical over astronomical time frames. Within systems, smaller objects periodically...

of Math chapter on Jacobi says that Jacobi made a hobby out of applying elliptic functions to number theory. E.g., Jacobi re-proved Lagrange's theorem and...

2022 (UTC) Seems like a fine idea. When I was working on the Lemniscate elliptic functions article many months ago, there wasn’t such a large amount of...

speed of the object is constant only if the orbit is circular. For an elliptic orbit, the *area* swept out p.u. time is constant, but the speed is not...

(leading coefficient one, integer coefficients, norm 1 etc...) Why is the elliptic modular function attributed to Klein? The fundamental domain of the modular...

Liquid cooling Front axle: rigid with semi-elliptic leaf springs Rear axle: rigid with inverted semi-elliptic leaf springs 53k image of Brockway C666 Quick-Way...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

itself is not elliptical at all. The park that fills the center of the piazza (with its canal, island, and outer ring) is indeed elliptical, but the piazza...

analogue to the Gelfond-Schneider Theorem (Hilbert's 7th problem) for elliptic function. The translation at http://aleph0.clarku.edu/~djoyce/hilbert/problems...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

connection to the variation of Hodge structure?" Example of period mapping of elliptic curves in this article would appear as the Picard-Fuchs equations of Gauss-Manin...

the Elliptical Technique and the String Technique.[5] In the elliptical technique the surrounding are of the splinter is sliced in an elliptical formation...

for the quartic interaction is reducible to the definition of the Jacobi elliptic function sn that has nothing to do with tanh being the former periodic...

algae (microalga). Once it was called シオヒゲムシ in Japanese. In a little long elliptic, it has two or four these isometric flagella in the point. It propagates...

theory of elliptic partial differential equations; http://www.ams.org/mathscinet-getitem?mr=2895178 Gilbarg, David; Trudinger, Neil S. - Elliptic partial...

spaces with elliptic (circular), parabolic (flat), or hyperbolic distances, and elliptic, parabolic, or hyperbolic angles. Yaglom lists: Elliptic geometry...

graded modules, described in Graded ring#Graded module, and Twists of elliptic curves, and it's unclear that this is the primary topic. 1234qwer1234qwer4...

fundamental polygon." Can we say some more about the elliptic case? Is the Riemann sphere the only closed elliptic surface (up to biholomorphism)? We should link...

stern and the elliptical, fantail, or merchant stern[1] and were developed in that order" → " the square, or transom, stern, and the elliptical, fantail,...

unambiguously defined" in reference to interior angles. I did this because in elliptic geometry three noncollinear points do not determine a unique triangle and...

journals going that far back. Additionally, need paragraphs on parabolic, elliptic, and what not (see Izhikevich). —Preceding unsigned comment added by 131...

Highly Elliptical Orbit, while the orbits in the animations are not (or I may be wrong in interpreting them of course). To have an elliptical orbit the...

Changes – 3 forward, 1 reverse Drive – Spiral bevel Rear Springs – Semi-elliptic Rear Axle – Semi-floating Steering Gear – Worm and gear New car price included...

on the boundaries. I think it's useful, next to removing the incorrect "elliptic", to include a link to the online paper, and also to insert the form with...

surface, usually in a circular or elliptical pattern. In a more specific sense, the rim may refer to the circular or elliptical edge that represents the uppermost...

map acting on residues (AMS Hodge theory book) Quadimodular forms and elliptic curves (Movasati) http://w3.impa.br/~hossein/myarticles/hodgetheoryII.pdf...

Comment or view Article history ) ... that partial Euler products for elliptic curve L-functions contain an unexpected factor, leading to interesting...

does state that Al-Zarqali had a sun-centered model with the planets in elliptical orbits. TedHuntington 22:31, 30 May 2007 (UTC) Thanks, I added the Notes...

amateur telescopes. Except for one thing. Most elliptical galaxies have nuclei that appear, well, elliptical. This one has a nucleus that appears rectangular...

but this not necessarily the case in other non-flat geometries such as elliptic geometry or hyperbolic geometry. Also, by 'straight line' it should be...

2 2 . 1 9 ELLIPTICAL AND CIRCULAR POLARIZERS AND ANALYZERS There are few good and convenient circularly or elliptically polarizing mechanisms , whereas...

semi-major axis for hyperbolic trajectories is mathematically sound. For elliptical orbits the interpretation of the semi-major axis is straightforward: the...

or all of Linear geometries Overview Absolute geometry Affine geometry Elliptic geometry Hyperbolic geometry Minkowski space Projective geometry Spherical...

main topic muddled this point. Removing undue focus on hyperbolic and elliptic spaces. Such a classification makes sense in the context of 2-dimensional...

you choose a free basis in such a way that you get a pairing of 1, the (elliptic curve case) pairing is all defined. (I've fixed up the degenerate cases...

have a contradiction with the calculation of the IC of the cone over an elliptic curve later down the page) 2001:861:388A:CAE0:5DB3:FF0E:1C56:3372 (talk)...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

the Decimal issues Small size table, surely all those only issued with elliptical perfs should appear in the same column. Some, eg 62p red, appear in the...

--Solomonfromfinland (talk) 06:07, 8 December 2018 (UTC) Due diligence on elliptic integrals, as clearly explained in the following. An article is infinitely...

same versor. Now versors have some meaning, they are elements of elliptic geometry#Elliptic space and fascinated W. K. Clifford. But the bivectors of this...

then it is a paraboloid (either elliptic or hyperbolic). If all the eigen values are non negative, then it is elliptic, if some eigen values are negative...

" If that's not true, why is that a thing people say? The article is elliptical and confusing. john k (talk) 02:06, 20 February 2019 (UTC) Although they...

circular motion would provide an elliptical course, and even after Kepler we find people accounting for the new elliptical path of the planets by reference...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

harvard.edu/~lurie/papers/DAG-XIV.pdf Construction of moduli stack of elliptic curves - Deligne Rappoport Constrution of moduli of pointed curves (Knudson's...

a highly elliptical ... orbits (sic) like Halley's comet? The statement in the Introduction refers to uniform circular motion. An elliptical orbit is...

not Highly Elliptical Orbit! All orbits are ellipses! An eccentric orbit can be referred to as an elongated orbit but not "highly" elliptical. After all...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

• contribs) 22:06, 2 March 2025 (UTC) One paragraph says that there's elliptic curve crypto with a strength around 32-bit RSA. But 32-bit RSA is almost...

separation exists here, though - does this application merit a section? Elliptical Reasoning (talk) 17:42, 15 May 2024 (UTC) one or two of the sections identify...

worth figuring on the main page. BTW, that part of the main page is quite elliptic (e.g., "for all t" is systematically missing ; T(ε) is misleading since...

22 August 2023 (UTC) Not true. See Cylinder which has diagrams of an elliptic cylinder and a parabolic cylinder. The article implies that a cylinder...

probably HMS Albion (1842) , due to the fact that it seems to sport an elliptical stern, which was a 19th century innovation on RN ships. Could someone...

a 2D lattice so that this article and the elliptic function article (and the Jacobi & Wierestrass elliptic articles) can reference it. linas 05:10, 13...

relating galaxy size to Luminosity, also shows a separation between Ellipticals (evidently redder, too), and Spirals (evidently bluer, too). If so, then...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

he had proved that the inverse-square force necessarily resulted in an elliptical orbit. (Can't find it right now. I'll send it to you later.) Instead of...

have been categorized as elliptical before higher resolution imagery was available. NGC 7318A does look more like an elliptical. Praemonitus (talk) 13:00...

be sufficient, e.g. spiral galaxy has only 5 well-known examples and elliptical galaxy has only 7). Cosmo0 (talk) 19:08, 8 April 2008 (UTC) It could be...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

palace at Ktesiphon or at the granaries of the Ramesseum in Luxor as elliptical or parabolic. Be it as it may these were invariably constructed of (usually...

June 2021 (UTC) ( Comment or view Article history ) ... that the two elliptical roofs of Singapore's Expo MRT station reflect sunlight into the station...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

concepts (imaginary points etc.) within complexification of the Euclidean, elliptic etc. contexts. We should find a reference confirming this fundamental point...

Can someone check the first equation for the ellipticity vector (involving the angular momentum h)? It should be unit-less but has a unit of mass from...

Hello 2a02:3038:208:11bd:bcc7:646f:886a:7399. Is The leaves, ovate or elliptical, are 3-5 cm wide and 3.5-13 cm long, with a petiole of about 1-1.5 cm...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

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all of the literature I've ever read (e.g., Silverman's "Arithmetic of Elliptic Curves"). In fact, the Selmer group, unlike the Tate-Shafarevich group...

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paragraph, 1st sentence, From these observations APM 08279+5255 is a giant elliptical galaxy with large amounts of gas and dust and an active galactic nucleus...

insignificant mass relative to the primary. The central body is not at the "elliptical foci". The focus cooincides with the center of mass, and the orbit does...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

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IP/68.210.167.227 (talk · contribs) one can compactify F-theory on an elliptically fibered manifold unsigned edit by IP/68.18.67.163 (talk · contribs) I...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

email) 00:35, 30 May 2007 (UTC) One of the asymmetric algorithm types, elliptic curve cryptography, or ECC, appears to be secure with shorter keys than...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

Increasingly Flat Radial Basis Function and Optimal Shape Parameter for the Solution of Elliptic PDEs", Eng. Anal. Bound. Elem. 2010,vol.34,:pp. 802-809....

Transfer is a two-impulse elliptical transfer between two co-planar circular orbits. The transfer itself consists of an elliptical orbit with a perigee at...

dates back to 1938. That being said, I think the article is a bit too elliptic on the subject. I'll try to expand on it somewhat. - Fils du Soleil 05:12...

direction of propagation. In general, the figure, i.e., polarization, is elliptical and is traced in a clockwise or counterclockwise sense, as viewed in the...

The moon follows an elliptical orbit, not a circular one as this problem describes. Additionally, it also leaves out the elliptical orbit formed when the...

often densely or laxly cymose; bracts 1/2 - 1 in. long, orbicular or elliptic. Calyx 1/2 in., in fruit often exceeding 3/4 in., sub-equally 5-lobed to...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

argument of Nelson, Garding and Roe Goodman using the heat kernel of an elliptic element in the universal enveloping algebra). More precisely they form...

they appear in together. An alternative formulation (that includes an elliptical comma, which you may or may not appreciate), for this sentence would be:...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

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isogeny is a morphism of varieties between two abelian varieties (e.g. elliptic curves) that is surjective and has a finite kernel". I'm not even sure...

02:08, 16 July 2006 (UTC) Wow and I can't seem to find an article on the elliptic regulator anywhere... is this really possible? Dmharvey 02:11, 16 July...

leaves are simple and spirally arranged, 8-27 x 4.5–10 cm in size and elliptic-oblong in shape, with caduceus-shaped stipples. The tip of the leaf is...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

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99-107 that the shape of a spinning drop can be expressed in terms of elliptic integrals. The time the article was published (1967) solving this set of...

stern and the elliptical, fantail, or merchant stern[1] and were developed in that order" → " the square, or transom, stern, and the elliptical, fantail,...

this story. There is a big lump of autobiography here. In it, however elliptically, I approached for the first time the 1977 death of my first wife, Sarah...

circle, with the centre of reference at the apex, is oblate, i.e. is right elliptical. The inverse of the circle lies on this cone, and also on the inverse...

conico–sphaericarum qudratura et rectification" [A simpler method of reducing elliptic integrals of the third kind, providing easy application and convenient...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

upgraded to latex. This page would benefit from explicit models of higher dimensional abelian varieties *not* constructed from products of elliptic curves....

...

"See also" section (but let me know if you disagree). Anyone who works in elliptic curve cryptography will know all three of the terms that bear his name...

worked examples moved to more specific topics (Strurm-Liouville problem or elliptic eigenvalue problems as the case may be). Brian Tvedt 14:11, 14 August 2005...

what are sigma(Pi) ? — Preceding unsigned comment added by 86.170.58.71 (talk) 09:19, 22 April 2012 (UTC) Symbol of a differential operator was linked...

there are indeed exact cnoidal wave solutions (in terms of the Jacobi elliptic function 'cn') that would be a more interesting extension to the article...

Hello! This bot has detected that this page contains an image, Image:Elliptical_polarization_schematic.png, in a raster format. A replacement is available...

an interesting 2024 PhD thesis about gridfree monte carlo methods for elliptic PDE's, that includes a survey of previous work that could be useful to...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

again.—RJH (talk) I didn't have much success beyond what is true of any elliptical galaxy. It consists of old, population II stars.—RJH (talk) Probably worth...

please clear this up? This is at the end of the section "Derivation for elliptic orbits (0 ≤ eccentricity < 1)"Circuitboardsushi (talk) 21:33, 4 April 2017...

Talk subject. I've tagged "The paths of all the star's satellites are elliptical orbits about that barycenter" becaues I think that's a bad approximation...

but, given an arbitrary elliptic arc s {\displaystyle s} on the ellipse, how do you construct the endpoints of the elliptic arc with the same endpoint...

November 2008 (UTC) You are wrong, sorry. Since the Laplace equation is elliptic, its solutions are automatically smooth (and even real analytic). Tiphareth...

used to reach geosynchronous or geostationary orbit.[1] It is a highly elliptical Earth orbit with apogee of 42,164 km (26,199 mi).[2] (geostationary (GEO)...

from sponsus? In that case, we should say so explicitly rather than elliptically ("related but not cognates"). Srnec (talk) 14:59, 3 July 2023 (UTC) @Srnec...

1962, and the record label on the disc was the classic black, with the elliptical logo of "j u b i l e e" (all lower case) surrounded by brightly colored...

added by 208.72.12.12 (talk) 18:15, 21 July 2010 (UTC) And things like elliptic curve cryptography wouldn't be possible if someone hadn't shown the irrationality...

points on elliptic curves, Weil conjectures, height (pairing)?, BSD conjecture, dessin d'enfant Applications: Elliptic curve cryptography, Elliptic curve...

It's not a smooth morphism if it has singular fibers. —Preceding unsigned comment added by 78.23.66.12 (talk) 14:22, 28 February 2010 (UTC)...

Minor complaint but I find myself tripping over the word "elliptically" here. If elliptically means "enigmatically", the reference is probably to Eros...

say so?) Q. What is the distribution form of a density profile of an elliptical galaxy including the dark-matter halo. In the end, why so complicated...

carpenter's pencils, in the UK, US and Canada at least, are typically of elliptical cross-section, not rectangular. They are certainly not "flat"-- a piece...

by 166.137.101.39 (talk) 20:47, 20 April 2013 (UTC) Who made the first elliptical spring? I've heard the name Obadaiah Elliot mentioned, around 1809......

identifies precisely a variational problem whose Euler–Lagrange equation is an elliptic partial differential equation with analytic coefficients" is not an English...

the other, such a system is stable, and both stars will trace out an elliptical orbit around the barycenter of the system indefinitely" I'm not an astrophysicist...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

article should point out that the orbit of each Hilda asteroid is generally elliptic, and the apparent triangle is just a dynamic sum of all Hildas at each...

etc. This si the reason why most people will rarely experience this o n elliptical machines or other machines that do not put much pressure or impact on...

sport scuba weight belts and ordinary eyes-and-nose diving masks with elliptical windows. The frogmen in the real war operation mostly used Sladen suits...

September 2020 (UTC) ( Comment or view Article history ) ... that the elliptical plan of the parish church (pictured) of Mġarr, Malta was chosen because...

...

discovered a novel and an absolutely superb way of calculating complete elliptic integrals. The time has come for the masses to understand that. Here is...

{\displaystyle K(k)\,\!} = the complete elliptic integral of the first kind can be inferred from Elliptic_integral#Complete_elliptic_integral_of_the_first_kind --...

The elliptic curve method has the same asymptotics, but depends only on the size of the factor, not the number being factored. This makes the elliptic curve...

ways of assigning a parameter to an ellipse in general, not only to an elliptic Kepler orbit. True anomaly is the then equally applicable to a parabola...

attractions necessarily result in elliptical orbits," the statement that inverse-square attractions necessarily result in elliptical orbits is as you've already...

links to one or more target anchors: [[Leaf spring#Half-elliptic]] The anchor (#Half-elliptic) has been deleted by other users before. The anchors may...

dE, dI Spiral, Unbarred spiral, Intermediate spiral, Barred spiral, Elliptical, Irregular, Irregular with no structure (previously called Irr-2 under...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

13:35, 21 December 2009 (UTC) Is the Cabinet Room, or more precisely the elliptical table and the positioning of the President's chair, based on the Cabinet...

anybody toldme what is "Type of orbit"? I understand that all orbits are elliptic... so? Hello, A update is needed: http://www.astronomy.com/asy/default...

arguments. - and elliptic geometry has no parallel lines. Postulate 3 also needs to be modified before it can be used in the elliptic geometry setting...

Thanks for clearling this up and sorry my first posting was so short and elliptic. Mddietz (talk) 18:28, 8 June 2009 (UTC) The references to Arnold's response...

necessitates a very large (~1,000 m/s or 3,000 fps) maneuver to achieve [elliptical] orbit insertion," followed by a circularisation burn. - Rod57 (talk)...

polarization. The difference between radial polarization to linear or elliptical polarization should be noted as the latter have a constant polarization...

by a contour of the likelihood function, which certainly aren't always elliptical. Also you may have used a Data transformation before fitting a model by...

article contains broken links to one or more target anchors: [[Lemniscate elliptic functions#cl]] The anchor (#cl) has been deleted by other users before...

article almost entirely contains the Elliptic Curve DSA article. Also the Elliptic Curve DSA article describes Elliptic Curve DSA as a variant of DSA whereas...

elliptical orbits is this one of July 21, 1612. Neither Kepler's second law nor the location of the Sun at one of the foci of a planet's elliptical orbit...

orbital motorway ( the M2, M7, M5 and F1), however it is very long and elliptical. There is indeed a poor link between the airport and many areas which...

aspects, with all those number theoretic implications, connections to elliptic curves, and also all these particle physics aspects? I love this stuff...

...

fail to understand why the same reader who inserted this tag did not tag elliptic integral for example. This article does not go beyond school-level physics...

Appl. Math. Comput. 84 (1997) 27–48. doi:10.1016/S0096-3003(96)00051-3 Elliptic complex numbers: The Musèan hypernumber w, [1] Rose numbers: The Musèan...

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from more information on its waning of use due to to the suggestion of elliptical orbitals as opposed to circular ones in Kepler's First Law that was proven...

The relation to hypoelliptic should be mentioned. Boris Tsirelson (talk) 20:48, 3 June 2009 (UTC)...

the reader to. Elliptic/Robinson Robinson's assessment is sourced to CNBC, a reliable source. His perspective is notable because Elliptic is one of the...

they put it forward. -- Nat Gertler (talk) 20:34, 10 June 2025 (UTC) @Elliptical Reasoning: The source you had added for the 2006 conviction had the charges...

(talk) 14:14, 2 September 2017 (UTC) Instead of a parabolic path, it is an elliptical path. Anonymous5444 (talk) 04:43, 25 May 2021 (UTC) Below escape velocity...

Centaurs that have highly elliptical orbits so they enter inner solar system? — Preceding unsigned comment added by 193.64.20.68 (talk) 05:34, 16 March...

...

waterline armor belt" - MOS:SEAOFBLUE, three links in a row "The sides of the elliptical conning tower were 100 to 120 millimeters thick." - Infobox gives 110...

directly, and this link was actually deleted by the CEO of his company, Elliptic Semiconductor. So I guess technically this is not a sockpuppet situation...

old warren it used to be. I'm going to try to clean up modular forms and elliptic integral to tie in correctly into this structure as well. Ugh. And Riemann...

{\mathrm {A} }}\,\!} (elliptical)——there is a term for this (modifying a variable to denote different "flavors", here spherical vs. elliptical), that I saw somewheres...

P ( 2 , 3 ) {\displaystyle \mathbb {P} (2,3)} and the moduli space of elliptic curves. Discuss examples of sheaves. Start with line bundles over weighted...

of the lip yellow. Dorsal sepal elliptic, acute-carinate, to 38 x 15 mm, the lateral sepals obliquely oblong-elliptic, acute-acuminate, carinate, channeled...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

17:37, 4 August 2006 (UTC) "There are four types of cones: circular, elliptical, right, and oblique, all of which are conic solids." These seem not to...

hessian is negative, that is the quadratic form is hyperbolic. Acnodes have elliptics quadratic forms and cusps have parabolic forms. --Salix alba (talk) 21:26...

...

relaxation method applied to something else than the numerical solution of an elliptic p.d.e.?  --Lambiam 11:39, 21 October 2007 (UTC) Can you give an example...

curves Mixed hodge structure for Cohomology of a smooth projective variety Elliptic curves minus points (or algebraic curves minus points) -> need Hypercohomology...

describing the galaxy membership in general terms (such as the number of elliptical galaxies, the number of spiral galaxies) and mentioning specific member...

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people whose first language is Spanish may not always be aware of the elliptical connotations of the term in English. It's similar to harass, I think,...

article contains broken links to one or more target anchors: [[Lemniscate elliptic functions#sl]] The anchor (#sl) has been deleted by other users before...

(ˌtɛlɪgrɑːˈfiːz, -æ-) [f. telegraph n. + -ese.] 1.1 The concise and elliptical style in which telegrams are worded. Also attrib. or as adj.    1885 Pall...

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width exceeding 300 meters from the satellite image, and a fairly compact elliptical shape. Given those parameters, an area of 12 hectares should come closer...

Machine 13:45, 3 August 2006 (UTC) Irregular Galaxy NGC 55 to NGC 55 Dwarf Elliptical Galaxy NGC 185 to NGC 185 Open Cluster NGC 225 to NGC 225 Spiral Galaxy...

Replaced "sumptuously" with "richly", for reasons unknown, making an elliptic reference to WP:PEACOCK at the top of the page. Suppressed information...

TLI, very close to TLI ? ("PO" is parking orbit) Does the "E" stand for Elliptical or eccentric ? - Rod57 (talk) 11:47, 24 December 2025 (UTC) @Rod57 EPO...

Aerohydro (talk) 00:51, 23 July 2022 (UTC) The article says "The wings were elliptical and passed through the duct and the engine nacelle inside it." However...

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links to one or more target anchors: [[Leaf spring#Semi-elliptic]] The anchor (#Semi-elliptic) has been deleted by other users before. The anchors may...

spectral element method does not use that information and works for arbitrary elliptic boundary value problems. That's not exactly true: a spectral method is...

that mentioned that Rogue Planet could also mean a planet with a highly elliptical orbit or orbit off of the ecliptic. That was recently removed (lack of...

Machine 13:47, 3 August 2006 (UTC) Irregular Galaxy NGC 55 to NGC 55 Dwarf Elliptical Galaxy NGC 185 to NGC 185 Open Cluster NGC 225 to NGC 225 Spiral Galaxy...

observations and measurements he made that showed the Moon's orbit was elliptical, were crucial in the formation of ideas for Principia. Richerman (talk)...

Doetoe (talk) 10:28, 1 September 2009 (UTC) The fourth paragraph of the section History and significance begins with this sentence: "In the summer of 1986...

is it called a front? Weather front? Reaction-diffusion front? What is elliptic regularization? Looks good. --Mark viking (talk) 03:12, 23 April 2016 (UTC)...

bottom of its page, I feel a more accurate title for the section would be "Elliptical clauses in parallel structure." The current title and subsequent description...

station. "The image was taken from the ISS at an angle making it appear elliptical." — Preceding unsigned comment added by 2003:C6:3702:6E9D:D922:4477:D431:BE54...

amplify on the generality a bit further: an n-sphere is a double cover of an elliptic geometry, an n-pseudosphere is a double cover of a hyperbolic geometry...

is it called a front? Weather front? Reaction-diffusion front? What is elliptic regularization? Looks good. --Mark viking (talk) 03:12, 23 April 2016 (UTC)...

dynamical spacetimes. I made a methodology section and merged and expanded the elliptic equations section into it. Although the 3+1 decomposition is really only...

Part 1 Published: JAN 20 2006 Times Cited: 11 4. Title: THE MORPHOLOGY OF ELLIPTIC GALAXIES INDIFFERENT ENVIRONMENTS Author(s): DAVOUST E Conference Information:...

direction opposite to the satellite's motion changes orbit to elliptical; But all orbits are elliptical... Apart from the lack of citations, the wording in this...

analysis, VII, §5. Lang, Elliptic functions, 3.§1. Stillwell, Mathematics and its history, §8.6. Koblitz, Introduction to elliptic curves and modular forms...

the hyperbolic plane by Γ0(p)+) has genus zero (the modular curve is an elliptic curve) if and only if p is 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41,...

The minimum length for such a perch was 6 feet. The invention of the elliptic spring opened a new field for carriage designers, enabling vehicles to...

to reach Mercury in 2025. It will release a magnetometer probe into an elliptical orbit, then..." These sentences should be merged with the sentences added...

...

source provides to understand the prescriptivist impulse. I am adding an elliptical construction that is a common synonymy. I think it bears mentioning that...

million miles over the year. If the mentioned distance was traveled as an elliptical path through the usual reference frame centered on the sun the asteroid...

disambiguation pages unless it can be shown that the items are known elliptically by the ambiguous term alone. In this case, there is nothing to suggest...

the intention there seems to emphasize he wants to consider elliptic space curve not elliptic plane curve. —— Taku (talk) 11:42, 22 April 2019 (UTC) Right...

is either attracted to a black hole when too close.but planets make an elliptical orbit above the electromagnetic field of black holes when enough distance...

than those of an elliptical orbit of the same maximum diameter, and other segments have a curvature less than that of an elliptical orbit of the same...

...

pendulum at rest at the lowest point: H' = H + (m)g/l Then the circular (elliptical) orbits at small x are directly obtained from noting that since cos(x)...

self and the limitations of other people are denied" - agree its a bit elliptic, will add [of] as simplest solution. Otherwise looking good to me, will...

to elliptical galaxies as "the most common form" of galaxies. Is that including both dwarf and normal-sized elliptical galaxies? Also, do elliptical galaxies...

...

We already have a nice article on principal curvatures, and that article already has a section on the classification of points on a surface. This article...

I left the following feedback for the creator/future reviewers while reviewing this article: Thanks for the translations. It's a relatively small company...

nsa.gov/business/programs/elliptic_curve.shtml to http://www.nsa.gov/business/programs/elliptic_curve.shtml When you have finished reviewing...

for dehydration and rehydration they have a plastic body temperature elliptical ergthrocytes and engage in seductive protection of plasma volume also...

achieve a security equal to AES would have been much bigger or require elliptic curve cryptography, making the handshake more expensive in terms of used...

the answer contains "F", and "Π". F is which is elliptic ingegral of the first kind, and Π is elliptic integral of the third kind. Both F and Π cannot...

factor) (the efficiency factor depends on the layout; it is 1.0 for an elliptical wing, and about 0.98 for a straight-tapered wing, and maybe 0.95 for a...

...

curving around the sun." A comet can not both be a short period comet in an elliptical orbit and also one that is "traveling in a parabolic path" - this is pure...

of categorizing Electronic filters by steepness, see Filter design and Elliptic filter For some of these, I am not familiar with the topic, but somehow...

nominated- The lead feels a tad short. "and variously obovate (egg-shaped), elliptic, truncate or undulate in shape, and 3–10 cm (1–4 in) long. The leaf edges...

(weightless) inertial body will simply follow those curved geodesics into an elliptical orbit. An accelerometer on-board would never record any acceleration."...

the text: The addition of 1" to the adopted coefficient of the principal elliptic term in longitude (22639".550) requires an addition to the factors... blah...

ionic core. The angular momentum of a comet determines if it has a highly elliptical orbit that is more likely to interact with the core of the system or a...

was curious about the elliptical trainer used in gyms. My search for elliptical led me here with a "redirected from elliptical." I propose one of the...

-- Hermite constant -- Almost complex structure -- Elliptic geometry -- Sphere theorem -- Elliptic point -- Radius of curvature (mathematics) -- Weyl...

"Their leaf petioles are distinctly winged, with alternate, ovate or elliptic shapes 5–20 cm (2–8 in) long, with a leathery, dull green upper layer,...

to this dictatotic power Never mind "dictatotic", this seems to be an elliptical reference to the death of Socrates in 399 BCE, which is rather more likely...

links to one or more target anchors: [[Leaf spring#Semi-elliptic]] The anchor (#Semi-elliptic) has been deleted by other users before. The anchors may...

waterline armor belt" - MOS:SEAOFBLUE, three links in a row "The sides of the elliptical conning tower were 100 to 120 millimeters thick." - Infobox gives 110...

there is also the shuffle product view, the inertial duality view, and the elliptic geometry view. It is not productive for people to be confronted with this...

just with a shorter mid-section than 0. Elliptical is a round object with 2 focal points. Oval can be elliptical but not necessarily. —The preceding unsigned...

on elliptical galaxies. Effective radius is not easily related to the half-light radius, especially when its use is already dubious on elliptical galaxies...

image is of the Swift plane. The article text describes the wings as elliptical, the image shows trapezoidal wings.Big Blue Cray(fish) Twins (talk) 22:06...

separates quiescent disk galaxies from the more common quiescent non-disk (elliptical) galaxies. This change would involve adding more information on other...

pointing out. The equation "epsilon = - mu / 2a" is correct, but for an elliptical orbit of a small body around a large one (e.g., earth) it's easy to confuse...

distances based on Aryabhata's system of elliptic orbits. I removed this as (1) Aryabhata's orbits were not elliptical (he used circular orbits together with...

being mythical :) Pakaran 03:33, 17 Dec 2003 (UTC) Sorry, I was far too elliptical :) I meant, whereas I can clearly see that the first sentence about being...

this situation. Can you point me to the relevant passage in the policy? Elliptical Reasoning (talk) 01:35, 1 June 2025 (UTC) See WP:BLPCRIME: "editors must...

primality test has mathematically proven time complexity, but is slower than elliptic curve primality proving in practice. This is probably completely confusing...

relevant in the study of ideal wings - uniform downwash, elliptical spanwise lift distribution, elliptical planform etc. For a real wing without these ideal...

Atlantic; elliptical; sediments; red link Ampére Seamount (as has been done in the lead section). Done, but I am certain that "elliptical" is not linked...

what is the sphere, but few would know what is the elliptic plane. I suggest either dropping the elliptic plane or putting it in parathesis after the example...

"quintilis mensis" (meaning "fifth month"). The confusion might stem from an elliptical phrase of "Quintilis" as implying "quintilis mensis" just as Americans...

linear and circular polarization are special cases of the most general elliptical polarization. - ‘Plane linear polarized light’ -> ‘Plane linearly polarized...

and focus more of an eccentricity of 0.8. which show that Circular and Elliptical orbits have the same period and focus, but different sweeps of area defined...

being elliptical. You are partially right, Cusanus simply makes a point they are not circular. Probably the editor concluded they must be elliptical, though...

Surface brightness fluctuation Tully-Fisher relation D-sigma relation (ellipticals) X-ray burster Brightest cluster galaxy Type Ia supernovae Gravitationally...

(Great) Island) and the Poor Knights are notable for their very large broad-elliptic to broad-obovate, distantly bluntly toothed leaves", so I think the text...

So if you look at the mobius transform article, you'll see the talk of elliptic, parabolic, hyperbolic and loxodromic xforms. Lets ignore loxodromic, for...

holes. (disputed — see talk page) It wasn't until Kepler developed the elliptical orbital model that epicycles were finally eliminated." I have some disagreements...

this page, "Caccioppoli proved the analyticity of the solutions of the elliptical equations of class C2, solving the nineteenth Hilbert problem". However...

angular velocity of the co-rotating frame is not constant, such as for elliptical and unbound orbits in orbital mechanics, other fictitious forces - the...

velocity. An airplane cannot reach that speed, so the orbit should be elliptic in order to produce weightlessness. Who can comment? −Woodstone 10:15:12...

The article seems to my far-from-expert reading to imply (state?) that Elliptic Curve 'crypto stuff' isn't a 'proper' trapdoor function (because something...

spherical special case of an elliptical distribution does not have independence. But I know that I've read about how any joint elliptical distribution can be subjected...

says that the leaves are lance-shaped, whereas the article says they’re elliptical to lance-shaped. Those statements are conflicting? Boscaswell talk 21:09...

"quintilis mensis" (meaning "fifth month"). The confusion might stem from an elliptical phrase of "Quintilis" as implying "quintilis mensis" just as Americans...

other) or segmental (again, Bermondsey Street is an example) or, indeed, elliptical or three-centred. It's certainly a complex structure and I haven't studied...

(horizontal and vertical, or perhaps along the major and minor axes of an elliptical beam). Each axis has its own σ, and its own D4σ.--Srleffler (talk) 01:18...

I wrote down in this article just needs the theorems of the lemniscate elliptic functions that are also known already". This is exactly what is called...

Bradford L. Gilbert, opened in 1893 to serve Columbian Expo tourists, elliptically vaulted waiting room straddled the tracks, demolished in 1970s --SPUI...

gif-animations I've made show that the period of the eccentricity of an elliptical orbit is half the period of the complete orbit around the axis of rotation...

articles, like this one, to a topic that doesn't even mention the now elliptic article, which convinces me, if not you, of the value of soliciting outside...

annual or biennial herbs. Their leaves are simple, lanceolate to narrowly elliptic. The flowers are hermaphroditic actinomorphic, grouped in racemes and yellowish...

and in Vehicular_automation#SAE_autonomy_levels. The former is rather elliptical, but the crucial point is in the sentence, "Cars may switch levels in...

best, --Jorge Stolfi (talk) 21:52, 8 February 2010 (UTC) Nope. It's an Elliptic hyperboloid of one sheet- and it's actually a doubly ruled surface.- Wolfkeeper...

suspension, torsion-bar Dubonnet independent at the front, conventional 1/2-elliptic at the back, " [1] Andy Dingley (talk) 17:00, 18 July 2018 (UTC) There...

calculated relative to the barycenter of the Solar System, page 4. However, elliptical dimensions such as their semimajor axis is not specified because ellipses...

...

stable distributions to elliptical distributions. I know that a linear combination of jointly elliptical variables is elliptically distributed--this seems...

This article is outdated/incomplete. It should mentions: Couveignes variant of SEA for fields of small characteristic (at the very least it should says...

discuss only the optical performance of lenses with similar and exactly elliptical shapes, not the shapes of the actually present specimens. The residual...

people's) pleasure. —Kri (talk) 23:06, 9 March 2023 (UTC) Kri might study elliptic modular functions. — Preceding unsigned comment added by...

Taniyama-Shimura theorem saids that every rational elliptic curve is modular. I thought the whole elliptic curve existing, because of counterexamples was...

The recent edit replacing Weierstrass form by elliptic functions actually is over-specific (assumes base field is the complex numbers); it misses out cases...

what happens, except in the case of a perfectly circular orbit. For an elliptical orbit, there are some places along the trajectory where the spacecraft...

Add: - BowFlex: A brand that manufactures treadmills, stationary bikes, elliptical trainers, adjustable strength equipment, home gyms, and accessories. Schwinn...

distinct religion rather than a (heretical) sect of Christianity by both Muslims and Christians. Elliptical Reasoning (talk) 19:11, 30 May 2025 (UTC)...

this relates directly to the sign of R, even. However, one can say that elliptic geometries have what we call positive curvature and hyperbolic geometries...

sun does not make a perfect apparent orbit around the earth. Due to the elliptical nature of the earth’s true orbit around the sun, the speed of the sun’s...

single chain drive with two-wheel belt-tension, solid front axle and full-elliptic leaf springs front and rear. The second model was a 20 HP two-cylinder...

November 2017 (UTC) Different orbiters are in very different orbits: elliptical, polar, maybe circular, maybe equatorial, with very different advantages...

change (23:22, 24 October 2013) states that OpenSSL supports arbitrary elliptic curves. While this is true in a way (you can actually use OpenSSL to do...

galaxies Elliptical galaxies Ring galaxies Irregular galaxies Interacting galaxy Galaxies by size Giant diffuse galaxies Giant ellipticals Dwarf galaxies...

some vague relationship to the trammel jig, which you would use to make elliptical cuts (e.g. with a wood router). Unfortunately, information is pretty sparse...

bit (without actually changing the correlation). Note the "ring" looks elliptical when it was intended to be circular Glenbarnett (talk) 03:27, 19 April...

sizes; and could this be shortened to "from almost circular to elliptical"? "Elliptical" means "ellipse shaped", and "constructs" doesn't seem necessary...

I came upon this article by chance. Having a little knowledge of computer programming, I think I know what it is about, but wouldn't it be better if someone...

Please add a graph such as this one please organize and add an example like RSA_algorithm#Encrypting_messages...

values" so it's already laid the groundwork (while distinguishing between elliptic and hyperbolic orbits). If I recall correctly, this corresponds to the...

suggestions? There is no exact solution to the swinging pendulum: it gives an elliptic integral. Anarchic Fox 22:22, 4 July 2007 (UTC) This article is good but...

algebraic curves, in the tradition of the Katz-Mazur book on moduli of elliptic curves. After all, there is more to a moduli problem than just the space...

elliptical orbits are "tangent to two circular orbits", so that isn't really enough to call it "Hohmann". All (two-body) orbits are also elliptical,...

a Schwarzschild orbit in Frame_fields_in_general_relativity. Coplanar elliptical orbits: nice idea, nice figures, but format problem. Tip: use <math>\cos</math>...

may be called elliptic, hyperbolic or parabolic, depending on the number of real eigenvalues of the Hessian matrix: the point is elliptic if the eigenvalues...

Machine 13:41, 3 August 2006 (UTC) Irregular Galaxy NGC 55 to NGC 55 Dwarf Elliptical Galaxy NGC 185 to NGC 185 Open Cluster NGC 225 to NGC 225 Spiral Galaxy...

with a plane at some other angle, what do we get? Well, some kind of elliptical thing. Show it! If we cut a rectangular prism with a plane, what do we...

in some cases. For asymmetric objects the solution is based on Jaboc Elliptical Functions (as can be checked in Landau and Liftshiftz Theoretical Physics...

well-made and only got a bad reputation cause people confused it with elliptical chainwheels. -- Alexey Topol (talk) 23:23, 14 June 2011 (UTC) Whoever...

state, it was "misleading"? In fact, the study of resolvents/inverses of elliptic operators was the main historical origin for inventing them! This also...

caused by sun and moon use the term (C − A)/C in reference to dynamical ellipticity or flattening. There these represent the equatorial semi-majour axis...

This article's title says, "DELETE ME" under WP:INDISCRIMINATE and WP:NOT#STATS. Tables of raw data are not the point of Wikipedia. Even if fully referenced...

The statement Then, the following result gives the possibility the obtain the doubling operation by the addition: is not English. I hesitate to try to...

reference to the Tokarsky solution. What this article says about the Penrose elliptical solution is not true, and contradicts the caption to the illustration...

May 2005 (UTC) Correction - the proof uses elliptic curves, which don't have anything to do with elliptic geometry, other than the similarity of the name...

would look like: Yuanfen – Concept in Chinese culture Btw, this is a bit elliptical, now that I notice it :). Note-to-self: on the Yuanfen Talk page, propose...

2024 (UTC) IC 1011 is a barred spiral galaxy. Why is it marked as an elliptical galaxy stub? User:Hamterous1 (discuss anything!🐹✈️) 11:57, 8 April 2024...

an ellipse, but even a few orbits produce noticeable changes in their "elliptical" orbits. Nevertheless, Newton's universal theory of gravitation coupled...

ancient world turned out to be both inherent and necessary" is a slightly elliptic statement; inherent in what and necessary for what? Glossed. Are any of...

21:52, 10 January 2012 (UTC) The begining of this article states that ellipticity and oblateness are other terms used for flattening. I believe this suggest...

"etymology" point of view. This completes the symmetry between "hyperbolic" and "elliptic". Indeed, this symmetry is to be expected. So arguing that ar or arc is...

have now been included. Nev1 (talk) 20:35, 13 July 2008 (UTC) a strange elliptical building was partially uncovered. What parts were uncovered? The foundations...

regular functions (that's what the previous statement boils down to.) For elliptic curves, the regular functions are given in the ususal proof that the product...

(Great) Island) and the Poor Knights are notable for their very large broad-elliptic to broad-obovate, distantly bluntly toothed leaves", so I think the text...

hyperbolic trajectory (whereas it is negative for an elliptical orbit)." does this mean objects in elliptical orbits are intermittently / constantly donating...

Machine 13:43, 3 August 2006 (UTC) Irregular Galaxy NGC 55 to NGC 55 Dwarf Elliptical Galaxy NGC 185 to NGC 185 Open Cluster NGC 225 to NGC 225 Spiral Galaxy...

been shown that due to energy considerations these cracks mostly become elliptical (tending to become circular) in shape. Inglis was perhaps the first one...

nothing bad with that, of course). However, it is equivalent to a certain elliptic integral, which itself is useful in evaluating some integrals. -- Meni...

(I'm asking about using subgroups of Z p {\displaystyle Z_{p}} , not elliptic curves.) Wmahan. 07:12, 26 May 2006 (UTC) To your first question: When...

a mostly verbatim copy of text from a research article, "Wavelets for Elliptical Waveguide Problems" by Lira et al., and therefore a copyright violation...

non-Keplerian rosette path. This orbit can still be assigned an orbital ellipticity, even though it isn't used in the same mathematical sense.[1][2][3] Regards...

problem with CRTs and some early LCDs (which caused circles to appear elliptical.) Blorg 11:49, 15 Nov 2004 (UTC) 17" LCD monitors have a native resolution...

Orbit A and reduce Drift Orbit B to just two revolutions followed a bi-elliptic transfer. Then, proximity operations are also accelerated. The final 600m...

PS Type 1 because METAFONT draws by (usually circular, but sometimes elliptical) stroking of Béziers, which mathematically are parallel curves. And parallel...

atmosphere, leading to the creation of new vortices. Pluto has an extremely elliptical orbit with a period of about 248 years. Data are sparse, but two data...

parabolic orbit has more energy than an elliptical one having the same barycenter and perigee. The elliptical orbit of the Mercury spacecraft can be turned...

35816 km x 24.35 degree inclination elliptical orbit. object 2014-046B/40108 in a 198 x 35768 km x 24.34 degree elliptical orbit. One is presumably the AsiaSat...

term for a dome with an elliptical-base would be "elliptical dome" or "oval dome", (the "oval dome" section mentions elliptical base domes). AmateurEditor...

about x-y-correlation ⟨ x y ⟩ {\displaystyle \langle xy\rangle } . For elliptic beams with semi-axes in x- or y-direction, both definitions are the same...

9 Open Cluster M21 to Messier 21 Open Cluster M26 to Messier 26 Dwarf Elliptical Galaxy M32 to Messier 32 Open Cluster M34 to Messier 34 Open Cluster M35...

I re-added the links Elimination theory Elliptic functions Faà di Bruno's formula since I did not find an exact policy in WP:MOS prohibiting to add links...

thing: Gilbert Strang often talks about "smoothing" (in the context of Elliptic solvers) in his course "Mathematical Methods for Engineers II". 1.162.65...

values of \theta(z,\tau), for fixed \tau and for z varying, parametrize an elliptic curve if it is viewed as the solution set of a cubic equation. So if someone...

a split of the definition of angular eccentricity and the section on "elliptic parameters". Ceroklis 18:05, 9 October 2007 (UTC) (1) There is the suggestion...

155`~ 71.212.121.155 23:53, 4 October 2007 (UTC) "Astronomers now see elliptical galaxies as some of the most evolved systems in the universe." Would "entropic"...

spiral density waves. They assumed that the stars travel in slightly elliptical orbits and that the orientations of their orbits is correlated, i.e. the...

not concerned with flatness, and the real projective plane.." Then the elliptic plane really should be mentioned, ie. the geometric projective plane as...

to link "parallelogram"? Rather, "elliptical" (under Skull and dentition) deserves a link. I'm not sure, "elliptical" is not linked in most articles, including...

type, from about 1.5 in lower mass galaxies, to nearly 3.0 in massive ellipticals. Popular references, referring to the original journal article: http://www...