In mathematics, two non-zero real numbers a and b are said to be commensurable if their ratio ⁠a/b⁠ is a rational number; otherwise a and b are called...

things are commensurable if they are measurable or comparable by a common standard. Commensurability most commonly refers to commensurability (mathematics)...

In mathematics, specifically in group theory, two groups are commensurable if they differ only by a finite amount, in a precise sense. The commensurator...

Commensurability is the property of two orbiting objects, such as planets, satellites, or asteroids, whose orbital periods are in a rational proportion...

Commensurability in economics arises whenever there is a common measure through which the value of two entities can be compared. Commensurability has...

analysis and quantity dimension were introduced by Joseph Fourier in 1822. Commensurable physical quantities have the same dimension and are of the same kind...

interaction depending on the separation distance of the spins. In that case commensurability, such as helical spin arrangements may result, as had been discussed...

Commensurability is a concept in the philosophy of science whereby scientific theories are said to be "commensurable" if scientists can discuss the theories...

incomparable, then by definition neither is better than the other. Commensurability (philosophy of science) Value pluralism Chang, Ruth (2002-07-01). "The...

which is commensurable only in power to the whole; the other part is the apotome. In this definition, two line segments are said to be "commensurable only...

thus allows for the association of different goods and makes them "commensurable". He goes on to state that money is also useful for future exchange...

physical quantities are commensurable, meaning that they can be added, subtracted, and compared with one another. To be commensurable, quantities must have...

Foam in an egg carton which simulates the atomic surface structure of graphite, commensurable due to alignment in this photo...

become enticing tools for improvement. The linking of improvement to commensurable increase produced practices of wide application. It was that conflation...

demonstrating that if the hypotenuse of an isosceles right triangle was indeed commensurable with a leg, then one of those lengths measured in that unit of measure...

and job requirements can be assessed in the same language that its commensurability can be measured. The learning cycle has four stages: concrete learning...

Asian classrooms or that the educational goals in these countries are commensurable with those in Western countries. In Japan, for example, although average...

biographi.ca. George Paxton Young, "Solvable Quintic Equations with Commensurable Coefficients", American Journal of Mathematics 10:99–130 (1888), JSTOR 2369502...

length and width of several features of the Parthenon gives simple, commensurable whole number ratios, namely 9:4, has garnered some support. First published...

Miranda-Umbriel 3:1, Miranda-Ariel 5:3, and Ariel-Umbriel 2:1 mean-motion commensurabilities" (PDF). Icarus. 85 (2): 394–443. Bibcode:1990Icar...85..394T. doi:10...

Pamina; Mac Ginty, Roger (2017). "Measuring Peace: Comparability, Commensurability, and Complementarity Using Bottom-Up Indicators". International Studies...

industry that made fashionable apparel accessible, cost-effective, and commensurable.[citation needed] Interest in ready-to-wear was sparked by Yves Saint...

wrote that Polykleitos's Kanon "got its name because it had a precise commensurability (symmetria) of all the parts to one another." He also wrote that the...

spectral type of P. The sidereal orbital period of this asteroid is commensurable with that of Jupiter, which made it useful for ground-based mass estimates...

factors. Measuring innovation is inherently difficult as it implies commensurability so that comparisons can be made in quantitative terms. Innovation,...

it is finite. Two groups are virtually equal if and only if they are commensurable. The following groups are virtually abelian. Any abelian group. Any...

Different total theories of science are understood by making them commensurable allowing statements in one theory to be converted to sentences in another...

Apollonius Apollonian circles Apollonian gasket Problem of Apollonius Commensurability Diophantine equation Euclidean geometry Golden ratio Lune of Hippocrates...

planetary system, with planets in orbits moving with periods that are not commensurable (i.e., with a period vector that is not proportional to a vector of...

length in terms of another length, called unit length. Two lengths are "commensurable", if there is a unit in which they are both measured by integers, that...

orbital periods of Earth and Venus are close to 8:13 and 243:395 commensurabilities. The last pairs of transits occurred on 8 June 2004 and 5–6 June 2012...

Apollonius Apollonian circles Apollonian gasket Problem of Apollonius Commensurability Diophantine equation Euclidean geometry Golden ratio Lune of Hippocrates...

Apollonius Apollonian circles Apollonian gasket Problem of Apollonius Commensurability Diophantine equation Euclidean geometry Golden ratio Lune of Hippocrates...

known that every non-cocompact arithmetic Kleinian group is weakly commensurable with a Bianchi group. Maclachlan & Reid (2003) p. 58 Bianchi, Luigi...

contemporary economy. Life cycle assessment is a powerful tool for analyzing commensurable aspects of quantifiable systems.[citation needed] Not every factor,...

that science contains theories or research traditions that are largely commensurable; The belief that science sometimes incorporates new ideas that are discontinuous...

are rational numbers, Euclid handles this material in terms of the commensurability of lengths or areas: whether two line segments or two rectangles can...

unconsciousness. The image of two spools, however, is of a homogeneous and commensurable thread, whereas, according to Bergson, no two moments can be the same...

quantitative proportion in which it exchanges for other commodities. This commensurability in exchange, Marx argues, points to an underlying common element: "value"...

different conceptual schemes that are not necessarily compatible or commensurable, nor more or less in accord with external reality. Another debate considers...

modern terms, given two unequal, but commensurable, weights and a lever arm divided into two unequal, yet commensurable, portions (see sketch opposite), if...

but also not wholly different from them (or else there would be no commensurability with empirical reality, objects, sense data, etc. to be compared as...

The invariant trace field of Fuchsian groups is stable under taking commensurable groups. This is not the case for the trace field; in particular the...

"Study on Earthquake Trends in the Sichuan-Yunnan Region Based on Commensurability" (in Chinese). May 15, 2008. Archived from the original on May 17,...

but also in expanding its horizons to set newer objectives completely commensurable with the requirements of the National goal of “Health for all by 2020”...

flow concept. Stocks and flows have different units and are thus not commensurable – they cannot be meaningfully compared, equated, added, or subtracted...

\mathrm {G} (\mathbb {Q} )} any group Λ {\displaystyle \Lambda } which is commensurable (this means that both Γ / ( Γ ∩ Λ ) {\displaystyle \Gamma /(\Gamma \cap...

transition at very low temperatures to a different magnetic pattern with commensurable spatial period, but even at 1.5 K (−456.97 °F) the incommensurable pattern...

the magnitude of prices and quantities shouldn’t affect the result. Commensurability test: If units of measurement change (e.g., from kg to lbs), then the...

absurdum, which shows that if the diagonal of a square is assumed to be commensurable with the side, then the same number must be both odd and even. In the...

(2004) paper. George Paxton Young, "Solvable Quintic Equations with Commensurable Coefficients", American Journal of Mathematics 10:99–130 (1888), JSTOR 2369502...

Brown suggests, however, that Berlin ignores the fact that values are commensurable in the extent to which they contribute to the human good. "The Hedgehog...

maint: bot: original URL status unknown (link) Masaki Oshikawa (2000). "Commensurability, Excitation Gap, and Topology in Quantum Many-Particle Systems on a...

if G {\displaystyle G} itself is. More generally, if two groups are commensurable, then one is hyperbolic if and only if the other is. The simplest examples...

Morbidelli, Alessandro (1995). "Secular resonances inside mean-motion commensurabilities: the 4/1, 3/1, 5/2 and 7/3 cases". Icarus. 114 (1): 33–50. Bibcode:1995Icar...

clearly traceable in its components, because these are homogeneous and commensurable. It is otherwise with emergents, when, instead of adding measurable...

eccentricity versus inclination). act on any time scale from short term, commensurable with the orbit periods, to secular, measured in 104 to 106 years. lead...

L 2 ( C ) {\displaystyle \mathrm {PGL} _{2}(\mathbb {C} )} which is commensurable to a group derived from a quaternion algebra. It follows immediately...

that sa + tb = 0. If such an equation is possible, a and b are called commensurable lengths, otherwise they are incommensurable lengths. The real-number...

isomorphic, complete, consistent (such as tested by consistency proofs), commensurable Metasystems and supersystems are formed out of systems of relationships...

tilling a square is 21, found in 1978 by computer search. A rectangle has commensurable sides if and only if it is tileable by a finite number of unequal squares...

b)=af\left({\frac {b}{a}}\right),} which generalizes to a and b rational numbers or commensurable real numbers. Keith Slavin has shown that for odd a ≥ 1: gcd ( a , b...

Miranda-Umbriel 3:1, Miranda-Ariel 5:3, and Ariel-Umbriel 2:1 mean-motion commensurabilities" (PDF). Icarus. 85 (2): 394–443. Bibcode:1990Icar...85..394T. doi:10...

check of physical equations: the two sides of any equation must be commensurable or have the same dimensions. A person who has calculated the power output...

that are principal moduli for different genus zero congruence groups commensurable with the projective linear group P S L 2 ⁡ ( Z ) {\displaystyle \operatorname...

dissimilating, the waxing and the waning, render all things conversable and commensurable [546c] with one another, whereof a basal four-thirds wedded to the pempad...

to Feldwebel (Sergeant). A Fähnrich is an NCO, though, and will have commensurable tasks. Fähnrich zur See – naval officer candidate rank equivalent to...

domains: ethnopsychological investigations, assessments of cultural commensurability, and therapeutic innovations. Gone's research in ethnopsychology explores...

capital, which has rendered everything "banal" by making it formally commensurable through value. The task, he suggests, is to move beyond the "dull embers"...

Marcos also noted commensurabilities among the known ETNOs similar to that of the Kuiper belt, where accidental commensurabilities occur due to objects...

{\displaystyle {\text{SL}}_{2}(\mathbb {Z} )} but also some Fuchsian groups not commensurable with it. Lang, Serge (1995). "Some History of the Shimura-Taniyama Conjecture"...

of the written canon from its visible embodiment, and compiling the commensurable numbers that we know it incorporates." — Richard Tobin, The Canon of...

numbers) exist. The discovery of a theory of ratios that does not assume commensurability is probably due to Eudoxus of Cnidus. The exposition of the theory...

MR 0382702. S2CID 1357812. Deligne, Pierre; Mostow, George Daniel (1993). Commensurabilities among Lattices in PU(1,n). Princeton, N.J.: Princeton University Press...

diameter equal to the size of one segment. To achieve a resolution commensurable with that of a monolithic telescope of the same diameter the segmented...

argues that such theories cannot explain how decentralized agents have a commensurable unit in which to work. More generally, Desan critiques neoclassical...

Department of Astronomy". Dermott, S. F. (1968). "On the origin of commensurabilities in the solar system - II: The orbital period relation". Mon. Not....

{\displaystyle D={\mathfrak {H}}_{g}} , Siegel's upper half-space and Γ commensurable with Sp(2g, Z); in that case, D / Γ has an interpretation as the moduli...

interpretation by Kuhn of "commensurable" versus "incommensurable" was as a distinction between "languages", namely, that statements in commensurable languages were...

is the common form of universalism, which holds that all goods are commensurable on a single value scale. Value pluralism contends that there are two...

variation of 0.15±0.02 in magnitude. This rotation rate is nearly Earth commensurable, making observations from widely different longitudes particularly useful...

Miranda-Umbriel 3:1, Miranda-Ariel 5:3, and Ariel-Umbriel 2:1 mean-motion commensurabilities". Icarus. 85 (2): 394–443. Bibcode:1990Icar...85..394T. doi:10...

grains) in a shu-si (finger), and 30 shu-si in a kush (cubit). Non-commensurable quantities have different physical dimensions, which means that adding...

focus on Maxim's as a franchisable trademark, with food quality not commensurable with price. The Club des Cent (club of 100) moved its general assembly...

de la Fuente Marcos, Carlos; de la Fuente Marcos, Raúl (2016). "Commensurabilities between ETNOs: a Monte Carlo survey". Monthly Notices of the Royal...

density bodies and their orbital period ratios are in the range of commensurability at 7:5 and 3:2, suggesting mean motion resonance. A re-examination...

semimajor axis of 2.421 AU, and an eccentricity of 0.185. It has a 2:1 commensurability with Mars, having an orbital period double that of the planet. The...

or does not know nine-tenths of the most important relevant facts." Commensurability (philosophy of science) Double degree Encyclopedism Holism Holism in...

as the word symmetry (Ancient Greek: summetria) had the meaning of commensurability. In 1945 George Pólya published How to solve it in which symmetry was...

Brown suggests that Berlin ignores the fact that values are indeed commensurable as they can be compared by their varying contributions towards the human...

L 2 ( R ) {\displaystyle \mathrm {PSL} _{2}(\mathbb {R} )} which is commensurable to a group derived from a quaternion algebra. It follows immediately...

Toric Varieties William Fulton 1993-07-12 180 978-0691000497 132 Commensurabilities among Lattices in PU (1,n). Pierre Deligne, G. Daniel Mostow 1993-08-23...

we suppose that this definition consists of indicating which are the commensurable numbers smaller or larger than it .... Spalt, Detlef (2019). Eine kurze...

because of the near approach to commensurability of the mean motions of Jupiter and Saturn. In this context commensurability means that the ratio of the two...

units are identified as "arbitrary units". Arbitrary units are not commensurable with any other unit; measurements in arbitrary units cannot be compared...

Sometimes a comet can produce a long tail radiating away from the Sun. commensurability A property of two objects orbiting the same body whose orbital periods...

consciousness Class struggle Cogito ergo sum Cognitive bias Cognitive closure Commensurability Common good Common sense Composition of causes Compossibility Conatus...

mensur- measure Latin mensura "measurement", from metiri "to measure" commensurable, commensurate, dimension, immense, incommensurable, incommensurate,...

ethics, religion, and philosophy Evil – Opposite or absence of good Commensurability (ethics) – Values which cannot be compared Ideal (ethics) – Principle...

International Society for Neoplatonic Studies Lacrosse, J., 2005a, 'The commensurability of mystical experiences in the East and in the West. A comparison between...

Guglielmetti, Rafael; Jacquemet, Matthieu; Kellerhals, Ruth (2016). "On commensurable hyperbolic Coxeter groups". Geometriae Dedicata. 183: 143–167. doi:10...

Γ in it is arithmetic, i.e. can be obtained in this way. Thus Γ is commensurable with the subgroup G(Z) of G, i.e. they agree on subgroups of finite...

Mathematical Society (2009) II.2, showing how combinations of waves in non-commensurable frequencies cannot repeat their resultant patterns exactly. The Proceedings...

these criteria, which are aspirational in nature. All models are wrong Commensurability Conceptualist realism Constructivist epistemology Fallibilism Internal...

Rapinchuk introduced a new notion of "weak-commensurability" of arithmetic subgroups and determined "weak- commensurability classes" of arithmetic groups in a...

conflicts, and Indigenous peoples' economic aspirations may not be commensurable with the economic values of the dominant society. Colville scholar Dina...

we suppose that this definition consists of indicating which are the commensurable numbers smaller or larger than it .... Spalt, Detlef (2019). Eine kurze...

effect of resonance-driven commensurabilities in the various systems. Dermott, S. F. (1968). "On the origin of commensurabilities in the solar system - I:...

consist not in the commensurability or "symmetria" [i.e., proportions] of the constituent elements [of the body], but in the commensurability of the parts,...

he argues, describe situations that with a little work are in fact commensurable. Gross dissents (incommensurability is a formal property of some pairs...

that there exist hyperbolic groups which are quasi-isometric but not commensurable to each other. Superrigidity, a stronger result for higher-rank spaces...

attributed to Archimedes, the moment is pointed out in phrasings like: "Commensurable magnitudes (σύμμετρα μεγέθεα) [A and B] are equally balanced (ἰσορροπέοντι)...

admitting an essential isometric action on a CAT(0)-cubing where a subgroup commensurable with H {\displaystyle H} stabilizes an essential "hyperplane" (a simplicial...

by the property that they have a base of the topology consisting of commensurable sub-vector spaces. Tate objects can be defined in the context of any...

Marcos have calculated that some of the statistically significant commensurabilities are compatible with the Planet Nine hypothesis; in particular, a number...

and an end and time is vectorial. The components of the vector are commensurable (in duration). On the other hand actor interaction time is vectorial...

numbers. Dimension 0, rank 1, non-discrete, value group elements are commensurable. The value group can be isomorphic to any dense subgroup of the rational...

at bottom it involves the threat of terror: "be operational (that is commensurable) or disappear" (xxiv). While Lyotard is highly critical of performativity...

goal of finding language that would make various scientific topics "commensurable". In contrast, incommensurability is a situation where two scientific...

initialization reliability identities completeness Composition concerns commensurable descriptions consistency precedence interference synchronization The...

(October 2021). "The changing face of AU Mic b: stellar spots, spin-orbit commensurability, and transit timing variations as seen by CHEOPS and TESS". Astronomy...

( | V 0 | ≪ E f {\displaystyle |V_{0}|\ll E_{f}} ), phenomena like commensurability oscillations or fractal energy spectra (Hofstadter butterfly) occur...

Miranda-Umbriel 3:1, Miranda-Ariel 5:3, and Ariel-Umbriel 2:1 mean-motion commensurabilities". Icarus. 85 (2): 394–443. Bibcode:1990Icar...85..394T. doi:10...

Pappus. It was [...] Theaetetus who distinguished the powers which are commensurable in length from those which are incommensurable, and who divided the...

October 2021). "The changing face of AU Mic b: stellar spots, spin-orbit commensurability, and transit timing variations as seen by CHEOPS and TESS". Astronomy...

Grigorchuk, and J. S. Wilson. A structural property concerning abstract commensurability of subgroups. Journal of the London Mathematical Society (2), vol....

original on February 20, 2008 Starke, E. P. (June–July 1943), "E 544: A commensurable tetrahedron", Problems and solutions, The American Mathematical Monthly...

Apollonius Apollonian circles Apollonian gasket Problem of Apollonius Commensurability Diophantine equation Euclidean geometry Golden ratio Lune of Hippocrates...

the ecliptic. The orbital period of this asteroid is close to a 2:1 commensurability with Jupiter, which made it useful for perturbation measurements to...

Apollonius Apollonian circles Apollonian gasket Problem of Apollonius Commensurability Diophantine equation Euclidean geometry Golden ratio Lune of Hippocrates...

PMID 24335659. S2CID 40060493. Moen, Ole Martin (2013). "The Unity and Commensurability of Pleasures and Pains" (PDF). Philosophia. 41 (2): 527–543. doi:10...

that squares containing three square feet and five square feet are not commensurable in length with the unit of the foot, and so, selecting each one in its...

Vol. 202. no. 4365, pp. 297–298. Pierre Deligne and Daniel Mostow, Commensurabilities among lattices in PU(1,n). Annals of Mathematics Studies, 132. Princeton...

outlook is that it is questionable whether the different respects are commensurable with each other in the sense that an increase in one type can make up...

algebraic K3 surface X determines the automorphism group of X up to commensurability. Namely, let the Weyl group W be the subgroup of the orthogonal group...

the two "The Twins". The orbit of this asteroid has close to a 2:1 commensurability with the orbit of Jupiter. On 17 January 2000, this minor planet was...

MR 1507331. Cummins, Chris J. (2004). "Congruence subgroups of groups commensurable with PSL(2,Z)$ of genus 0 and 1". Experimental Mathematics. 13 (3):...

languages. Poly-context-free groups include all finitely generated groups commensurable with groups embeddable in a direct product of finitely many free groups...

lattice is also a lattice in the same group. More generally, a subgroup commensurable to a lattice is a lattice. Not every locally compact group contains...

rest on the meanings of the logical constants occurring in them. The commensurability of syllogistics and classical predicate logic is thereby demonstrated...

Kellerhals, Ruth; Ratcliffe, John G.; Tschantz, Steven T. (2002-04-15). "Commensurability classes of hyperbolic Coxeter groups". Linear Algebra and Its Applications...

scattering in quantum wires, invention of "anti"-dots and elucidation of commensurability effects in this system, first elucidation of chaotic transport in mesoscopic...

Mathematical Gazette 67, December 1983, 251–255. Hirschhorn, Michael D., "Commensurable triangles", Mathematical Gazette 95, March 2011, pp. 61−63. Deshpande...

Kitagawa Tamiji”: Review of Japanese Culture and Society 26 (Dec. 2014), Commensurable Distinctions: Intercultural Negotiations of Modern and Contemporary...

{\displaystyle M} of multiplicative type. M {\displaystyle M} is unique up to commensurability in G {\displaystyle G} and A {\displaystyle A} is unique up to isogeny...

December 2019. Retrieved 15 December 2019. Pipyrou, Stavroula (2012). "Commensurable language and incommensurable claims among the Greek linguistic minority...

Articles 50 and 51 as a "super-sign": The law simply secures a three-way commensurability of the hetero-linguistic sign 夷/i/barbarian by joining the written...

Analytic–synthetic distinction A priori and a posteriori Causality Mill's methods Commensurability Consilience Construct Correlation Function Creative synthesis Demarcation...

329–353 [1] [2] N. W. Johnson, R. Kellerhals, J. G. Ratcliffe, S. T. Tschantz, Commensurability classes of hyperbolic Coxeter groups, (2002) H3: p130. [3]...

compression must be accompanied by element substitutions that maintain commensurability between different components of the structure. Hence one can define...

populations as opposed to cultures, "Cultures and ecosystems are not directly commensurable. An ecosystem is a system of matter and energy transactions among unlike...

Machine N. W. Johnson, R. Kellerhals, J. G. Ratcliffe, S. T. Tschantz, Commensurability classes of hyperbolic Coxeter groups, (2002), H3: p. 130, ScienceDirect...

together, and that they are "not merely factors of indeterminate or commensurable weight." Justice Alito held that the tribe did not demonstrate extraordinary...

mission: XXVIII. CoRoT-33b, an object in the brown dwarf desert with 2:3 commensurability with its host star". Astronomy & Astrophysics. 584: A13. arXiv:1508...

doi:10.1038/333542a0. S2CID 4368440. Rabe, J.P. & Buchholz, S. (1991). "Commensurability and Mobility in Two-Dimensional Molecular Patterns on Graphite". Science...

saying, "God has made it incumbent on true leaders to make themselves commensurable with the weakest people over whom they rule, so that the poverty of...

panic; Moreover, when the organic composition of capital increases, the commensurable surplus value performance for the increasingly lowed capital profit...

act on the positions of the radiators so that these positions are not commensurable with each other. Several methods have been developed to synthesize arrays...

same speaker 'performing' another dialect. To assume that the two are commensurable is methodologically naive. In addition, in certain scenarios it may...

Miranda-Umbriel 3:1, Miranda-Ariel 5:3, and Ariel-Umbriel 2:1 mean-motion commensurabilities". Icarus. 85 (2): 394–443. Bibcode:1990Icar...85..394T. doi:10...

Coloniality of Knowledge, 2020 The coloniality of knowledge "presumes commensurability with Western discourse", and is the practice of "translating and rewriting...

mensur- measure Latin mensura "measurement", from metiri "to measure" commensurable, commensurate, dimension, immense, incommensurable, incommensurate,...

Moneta 160, pp. 391–397. 2009 ‘The Eurasian Silver Century, 1276-1359: Commensurability and Multiplicity’, Journal of Global History 4–2, pp. 245–269, 2009...

points was that such systems could be "calibrated" and thereby be made commensurable, but only when we become aware of the differences in conceptual schemes...

proved that certain isospectral arithmetic hyperbolic manifolds in are commensurable. Hearing the shape of a drum Spectral geometry Maclachlan & Reid 2003...

frequencies to be incommensurable; Poincaré also took into account commensurabilities, and using generalized Fourier series (which generate quasi-periodic...

it has measure 0. A Kleinian group Γ is called arithmetic if it is commensurable with the group norm 1 elements of an order of quaternion algebra A ramified...

money. By taking on a general quality of exchange value, they become commensurable. Commodification turns on this apparent dissolution of qualitative difference...

fitness and organisation of students from the seven PSA schools is commensurable to the highest levels offered by any schoolboy competition in Western...

Whitehead problem Word problem for groups Amenable group Capable group Commensurability (group theory) Compact group Compactly generated group Complete group...

over time, at least three different concepts: proportionality or commensurability in ancient sources, equivalence of sides in the seventeenth and eighteenth...

Freedom of Action, Routledge & Kegan Paul, 1973) "Weakness of Will Commensurability, and the Objects of Deliberation and Desire" (Proceedings of the Aristotelian...

222–3, doi:10.5951/MT.74.3.0222 Sang, Edward (1864), "On the theory of commensurables", Transactions of the Royal Society of Edinburgh, 23 (3): 721–760, doi:10...

group G(Z). An arithmetic group means any subgroup of G(Q) that is commensurable with G(Z). (Arithmeticity of a subgroup of G(Q) is independent of the...

of a Hopf algebra {\cal A}. Furthermore, he explored spin-anisotropy commensurable chains, a class of 2D integrable models, and described their mathematics...

Analytic–synthetic distinction A priori and a posteriori Causality Mill's methods Commensurability Consilience Construct Correlation Function Creative synthesis Demarcation...

was more general and efficient since it treated incommensurable and commensurable weights on the same footing. Galileo's Mecaniche presents his early...

[2] [3] N.W. Johnson, R. Kellerhals, J.G. Ratcliffe, S.T. Tschantz, Commensurability classes of hyperbolic Coxeter groups, (2002) H3: p130. [4] Klitzing...

Apollonius Apollonian circles Apollonian gasket Problem of Apollonius Commensurability Diophantine equation Euclidean geometry Golden ratio Lune of Hippocrates...

Petigura, Erik A.; et al. (January 2020). "K2-19b and c are in a 3:2 Commensurability but out of Resonance: A Challenge to Planet Assembly by Convergent...

Veech surfaces are the square-tiled surfaces, whose Veech groups are commensurable to the modular group P S L 2 ( Z ) {\displaystyle \mathrm {PSL} _{2}(\mathbb...

permissible within these measurements allowed them to be relational and commensurable: a request for a judgment of measure allowed for a variety of answers...

of the Long Inequality of Uranus and Neptune, depending on the Near Commensurability of their Mean Motions. "Peirson, Robert (PR841R)". A Cambridge Alumni...

distance, edited by Edward Sang, 1864 link Edward Sang, On the theory of commensurables, 1864 (Transactions of the Royal Society of Edinburgh, volume 23, part...

magnetic field. If the magnetic unit cell and the lattice unit cell are commensurable, namely, there exist two integers r {\displaystyle r} and s {\displaystyle...

theory of diffraction Uniqueness theorem for Poisson's equation Unit commensurability Unit of length Unitarity (physics) Unitarity bound Unitarity gauge...

possibly CHEOPS. It has an orbital period of 48.7 days and it has a 2:1 commensurability with planet b, which shows large TTVs due to the interaction. Orbits...

incommensurable, friction was not observed, however, if the surfaces are commensurable, friction force is present. At the atomic level, these tribological...

thought is called the soul, although the two concepts are not easily commensurable. In the Egyptian Book of the Dead, the Ba is depicted as a bird with...

behavior of humans – mythic or scientific, true or false – must be commensurable with each other. Humans should be scrutinized under the microscope just...

and highly ordered structures serving as metaphors for balance, the commensurability of parts and responsible social interaction. In subsequent decades...

Nauman: A Contemporary, Schaulager, 2018, pp. 87–120. “One to One: Commensurability and Difference.” In Jennifer Bornstein: Prints, Sternberg Press, 2018...

S2CID 40591865. Rees, D. G.; Totsuji, H.; Kono, K. (2012-04-25). "Commensurability-Dependent Transport of a Wigner Crystal in a Nanoconstriction". Physical...

329–353 [4] N. W. Johnson, R. Kellerhals, J.G. Ratcliffe, S.T. Tschantz, Commensurability classes of hyperbolic Coxeter groups H3: p. 130. [5] Klitzing, Richard...

(there are only finitely many) and determined when two of them are commensurable. The particular example is related to Bring's curve and the arithmetic...

consideration of whether the said "venture" brought back a loss or profit commensurable to its required investment. In Trust (Trest), we see agent-officers...

Apollonius Apollonian circles Apollonian gasket Problem of Apollonius Commensurability Diophantine equation Euclidean geometry Golden ratio Lune of Hippocrates...

sea-wood. He was given a job as an engineer, and his wages increased commensurably. In 1953, this allowed Irene, who had just given birth to the couple's...

in the system have a period ratio of 2.37, which is close to a 5:2 commensurability. In one possible formation scenario, they experienced convergent migration...

August 1970). Orbital Characteristics of Comets Passing Through the 1:1 Commensurability with Jupiter. The Motion, Evolution of Orbits, and Origin of Comets...

each day. These methodological innovations ensured the quality and commensurability of the data collected in the ALF. Gilliéron's method of using a trained...

of the Kirkwood gaps - A mapping for asteroidal motion near the 3/1 commensurability". Astronomical Journal. 87: 577–593. Bibcode:1982AJ.....87..577W. doi:10...

Response." Stan. L. Rev. 45, no. 2 (1993): 409–24. "Compensation and Commensurability." Duke L. J. 43, no. 1 (1993): 56–86. "On the Domain of Market Rhetoric...

circulation. The change in format was intended to allow for greater commensurability between Wegener's newspapers as a cost-cutting measure, given the decline...

/ Jürgen P. Rabe Rabe, Jürgen P.; Buchholz, Stefan (1991-07-12). "Commensurability and Mobility in Two-Dimensional Molecular Patterns on Graphite". Science...