Search results

| title = Geometric Programming ...i. ''[https://web.stanford.edu/~boyd/papers/gp_tutorial.html A Tutorial on Geometric Programming].'' Retrieved 20 October 2019.</ref>

...}} Brilliant Math & Science Wiki|url=https://brilliant.org/wiki/arithmetic-geometric-progression/|access-date=2021-04-21|website=brilliant.org|language=en-us}}< {{DEFAULTSORT:Arithmetico-geometric sequence}}

|title = Geometric measure theory |title=Geometric Integration Theory

| title = Geometric Programming ...0070308160245/http://www.stanford.edu/~boyd/gp_tutorial.html A Tutorial on Geometric Programming]

..., [[Parikarmastaka - Fundamental Operations|square roots]], arithmetic and geometric progressions, solutions of [[Equations|simple equations,]] [[Equations|simu ...ar equations, quadratic equations, arithmetic progressions and arithmetico-geometric series, computing square roots approximately, dealing with negative numbers

...|last = Federer | first = Herbert | authorlink = Herbert Federer | title = Geometric measure theory| publisher = Springer-Verlag | location = New York | year = * {{springer|author=T.C.O'Neil|id=G/g130040|title=Geometric measure theory}}

"Realizations of Geometric Brownian Motion with different variances\n $\mu=1$" ...949/http://math.nyu.edu/financial_mathematics/content/02_financial/02.html Geometric Brownian motion models for stock movement except in rare events.]

...http://graphics.stanford.edu/courses/cs468-01-winter/papers/wr-ghao-97.pdf Geometric Hashing: An Overview.] IEEE Computational Science and Engineering, 4(4), 10 {{DEFAULTSORT:Geometric Hashing}}

* {{cite book | title=Geometric Constructions |title-link=Geometric Constructions| series=[[Undergraduate Texts in Mathematics]] | first=George

...inghub.elsevier.com/retrieve/pii/S0167839621000479 |journal=Computer Aided Geometric Design |language=en |volume=88 |pages=102002 |doi=10.1016/j.cagd.2021.10200 ...general polygonal meshes], Ptackova, Lenka and Velho, Luiz, Computer Aided Geometric Design, 2021, DOI: 10.1016/j.cagd.2021.102002

{{short description|Study of geometric properties of sets through measure theory}} | title = Geometric measure theory

...A. Pasko, V. Adzhiev, A. Sourin, V. Savchenko, "Function representation in geometric modeling: concepts, implementation and applications", The Visual Computer, ...षणात्मक विवरण पर,<ref>V.L. Rvachev, "On the analytical description of some geometric objects", Reports of Ukrainian Academy of Sciences, vol. 153, no. 4, 1963,

* {{citation|first=Emil|last=Artin|title=[[Geometric Algebra (book)|Geometric Algebra]]|date=1987|publisher=Interscience Publishers|isbn=0-470-03432-7|ch

{{main|Geometric series}}

{{Short description|Setting of relativistic physics in geometric algebra}} ...cite book |first1=A.N. |last1=Lasenby |first2=C.J.L. |last2=Doran |chapter=Geometric algebra, Dirac wavefunctions and black holes |editor-first=P.G. |editor-las

...<ref>{{Cite journal|last=O'Rourke|first=Colm J.|date=December 2019|title=A Geometric Interpretation of Reference Frames and Transformations: dq0, Clarke, and Pa

{{Short description|Bottom of a geometric figure}}

* {{cite book |first=William |last=Baylis |title=Electrodynamics: A Modern Geometric Approach |edition=2nd |year=2002 |isbn=0-8176-4025-8 }} * {{cite book |editor-first=William |editor-last=Baylis |title=Clifford (Geometric) Algebras: with applications to physics, mathematics, and engineering |url=

{{short description|Geometric space with one dimension}}

:It was Mahāvīra who first treats the series in [[Geometric progressions]] and gives almost all the formulae required therein.

| title = Towards a Theory of Geometric Graphs | contribution = The beginnings of geometric graph theory

| year = 1952}}.</ref><ref name="groemer">{{citation|title=Geometric Applications of Fourier Series and Spherical Harmonics|volume=61|series=Enc

{{Short description|Geometric figure which circumscribes a circle}}

| contribution = On succinctness of geometric greedy routing in Euclidean plane | title = Succinct greedy geometric routing using hyperbolic geometry

.... Sundara|last=Row|title= Geometric Exercises in Paper Folding|title-link= Geometric Exercises in Paper Folding|year=1893|location=Madras|publisher=Addison|at=[

* {{planetmath reference|urlname=GeometricLattice|title=Geometric lattice}} * {{OEIS el|A281574|Number of unlabeled geometric lattices with ''n'' elements}}

...inly definitions, arithmetical terms, interest computation, arithmetical & geometric progressions. Many of the methods in the book on computing numbers such as

{{Short description|Self-similar geometric figure}}

[[आइसोमेट्री]] है।<ref>{{citation|title=Geometric embeddings of metric spaces|url=http://www.math.jyu.fi/research/reports/rep

{{Short description|Geometric transformation applied to points with respect to a given triangle}}

...and quadratic equations. In series (śreḍhī) he deals. with arithmetic and geometric series as well as with series of squares, cubes, and successive sums of ser

* E। Hairer, C। Lubich, and G। Wanner। ''Geometric Numerical Integration''। Springer, 2002।

| last = Morgan | first = Frank | title = Geometric Measure Theory: a Beginner's Guide *{{springer|author=O'Neil, T.C.|id=G/g130040|title=Geometric Measure Theory}}

...988), ''A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space'', p. 65. Springer, {{isbn|0-387-96458-4}}, in honor of [[Ibn al-Hayt

{{Short description|Geometric figure which is "snugly enclosed" by another figure}}

* {{citation|first=Herbert|last=Federer|author-link=Herbert Federer|title=Geometric Measure Theory|publisher=Springer-Verlag|year=1969|isbn=3-540-60656-4}}. ...ion|first=Frank|last=Morgan|author-link=Frank Morgan (mathematician)|title=Geometric Measure Theory|publisher=Academic Press|year=1988}}.

...cis nec non de curva focali"] (Inaugural mathematical dissertation on some geometric loci and also focal curves), doctoral thesis (University of Ghent ("Gand"), ...आसानी से लगाया जा सकता है। एक नया तरीका।|trans-title=On conic sections. A geometric treatise. In which, from the nature of the cone itself, relations of sectio

...Berry, [http://www.scientificamerican.com/article/the-geometric-phase/ The geometric phase], ''Scientific American'' 259 (6) (1988), 26–34. * {{cite web|title=Geometric phases and the separation of the world by Michael Berry|publisher=Internati

* <math>\sum_{i=1}^n \mathrm{Geometric}(p) \sim \mathrm{NegativeBinomial}(n,p) \qquad 0<p<1 \quad n=1,2,\dots </ma

*{{Citation |last=Gardner |first=Richard J. |year=2006 |title=Geometric tomography |edition=2nd |series=Encyclopedia of Mathematics and its Applica

{{Short description|Geometric shape}} ...ty: A Parametrization Independent Measure of Continuity for Computer Aided Geometric Design|last=DeRose|first=Anthony D.|language=en|date=1985-08-01}}

| title = Lipschitzian mappings and total mean curvature of polyhedral surfaces. I | title = Geometric Folding Algorithms: Linkages, origami, polyhedra

{{short description|Infinitesimal calculus on functions defined on a geometric algebra}} ...ा जा सकता है।<ref>[[David Hestenes]], Garrett Sobczyk: Clifford Algebra to Geometric Calculus, a Unified Language for mathematics and Physics (Dordrecht/Boston:

| title = Solving geometric problems with the rotating calipers

|title=Geometric Mechanics

...ra]], the pseudovectors are [[multivector|trivectors]]. {{cite book |title=Geometric algebra and applications to physics |author1=Venzo De Sabbata |author2=Bidy ...2&pg=PA100 |page=100 |author=William E Baylis |title=Lectures on Clifford (geometric) algebras and applications |isbn=0-8176-3257-3 |year=2004 |chapter=§4.2.3

| pdf_image = [[File:geometric pmf.svg|300px]] | cdf_image = [[File:geometric cdf.svg|300px]]

{{short description|Geometric operation on convex polytopes}}

...T.]] (2012), ''Topological Crystallography ---With a View Towards Discrete Geometric Analysis---", Surveys and Tutorials in the Applied Mathematical Sciences, V

...first2 = Bogdan | year = 2007 | title = Barbilian spaces: the history of a geometric idea | journal = [[Historia Mathematica]] | volume = 34 | issue = 2| pages ...d 41] remained rather unsatisfactory, however, his axioms were partly of a geometric nature, partly algebraic as pertaining to the ring of coordinates, and ther

...tation|first=Martin R.|last=Bridson|authorlink=Martin Bridson|contribution=Geometric and combinatorial group theory|pages=431–448|title=The Princeton Companio ...ो गुण दोनों धारण करते हैं:<ref name= "Topics" >P. de la Harpe, ''Topics in geometric group theory''. Chicago Lectures in Mathematics. University of Chicago Pres

...th> और <math>p_{(n/2)+1}</math>.) <ref name="haldane"/><ref>Claim 18.10, ''Geometric Methods and Optimization Problems'', V. Boltyanski, H. Martini, V. Soltan,

| contribution = Geometric intersection problems

...F., Boissonnat, J. (2018). [https://books.google.com/books?id=rUJwDwAAQBAJ Geometric and Topological Inference.] pp. 211. United States: Cambridge University Pr

* {{cite book|last=Pflaum|first=Markus J.|title=Analytic and geometric study of stratified spaces|publisher=Springer|publication-place=Berlin|year

...लूप्स वाले पेड़ों के कॉन्फ़िगरेशन स्थानों की समरूपता|journal=[[Algebraic & Geometric Topology]] |volume=18|issue=4|pages=2443–2469|last2=Lütgehetmann|first2= ...e=2023|title=बिंदुओं के विन्यास स्थानों के लिए एक मॉडल|journal=Algebraic & Geometric Topology |volume=23 |issue=5 |pages=2029–2106 |doi=10.2140/agt.2023.23.20

...nal|dominated]]" (meaning <math>|F| \leq p</math>) are weakened to instead mean "[[#dominated real functional|dominated {{em|above}}]]" (meaning <math>F \l ==Geometric Hahn–Banach (the Hahn–Banach separation theorems)==

....com/books?id=YA8rxOn9H1sC&pg=PA123 Ludvigsen, M., ''General Relativity: A Geometric Approach'', Cambridge University Press, 1999] {{ISBN|052163976X}}</ref>

...rylinski | first1=Jean-Luc | title=Loop spaces, characteristic classes and geometric quantization | orig-year=1993 | publisher=Birkhäuser Boston | location=Bos

* [http://math.ucr.edu/home/baez/quantization.html John Baez's review of Geometric Quantization], by [[Index.php?title=जॉन बैज|जॉन बैज * [http://www.blau.itp.unibe.ch/lecturesGQ.ps.gz Matthias Blau's primer on Geometric Quantization], बहुत कम अच्छे प्राइमरो

|title=Geometric Integration for Particle Accelerators ..., E|journal=Journal of Plasma Physics |date=2017| volume=83| title=GEMPIC: geometric electromagnetic particle-in-cell methods| issue=4| page=905830401| doi=10.1

{{Short description|3D geometric shape}}

| title = Bounded-degree graphs have arbitrarily large geometric thickness | title = Geometric representation of cubic graphs with four directions

*{{citation|title=Computer Graphics and Geometric Modelling: Mathematics|first=Max K.|last=Agoston|publisher=Springer|year=20

...|first1=G.|last2=Mangiarotti|first2=L.|last3=Sardanashvily|first3=G.|title=Geometric formulation of classical and quantum mechanics|publisher=World Scientific|y

...fqeQIC&pg=PP1&dq=de+la+Harpe,+Topics+in+geometric+group+theory ''Topics in geometric group theory''.] Chicago Lectures in Mathematics. University of Chicago Pre ...वाक्यांश दिखाई देने लगता है इसे एक उदाहरण के रूप में देखा जा सकता है।<ref>Geometric group theory. Vol. 1. Proceedings of the symposium held at Sussex Universit

| title = Geometric sequences of discs in the Apollonian packing

...g=PA22|pages=22–23}}.</ref><ref name=sa>{{citation|title=Linear Algebra: A Geometric Approach|first1=Ted|last1=Shifrin|first2=Malcolm|last2=Adams|edition=2nd|pu

| title = Geometric diffusions as a tool for harmonic analysis and structure definition of data | title = Geometric diffusions as a tool for harmonic analysis and structure definition of data

...rst1=Stefan |last2=Springfield |first2=Derriell |date=December 2010 |title=Geometric combinatorial algebras: cyclohedron and simplex |journal=[[Journal of Algeb

...Arora]], Polynomial-time Approximation Schemes for Euclidean TSP and other Geometric Problems, Journal of the ACM 45(5) 753–782, 1998.</ref> इस प्र

...eserved up to [[diffeomorphism]]. This does not include certain [[geometry|geometric]] properties such as distances between points or volume, which depend on a *{{cite book |title = A First Course in Geometric Topology and Differential Geometry| url=https://archive.org/details/firstco

...ajiah Simon]] and [[George Sudarshan]] (1989) "The theory of screws: a new geometric representation for the group SU(1,1), [[Journal of Mathematical Physics]] 3

| title=Two geometric representations of separoids

| title = Geometric tools for computer graphics

{{Short description|Invariance of operations under geometric translation}}

* Baylis, William (2002). ''Electrodynamics: A Modern Geometric Approach'' (2nd ed.). Birkhäuser. {{ISBN|0-8176-4025-8}} * Baylis, William, Clifford (Geometric) Algebras With Applications in Physics, Mathematics, and Engineering, Birkh

| title=Étale Galois covers of affine smooth curves. The geometric case of a conjecture of Shafarevich. On Abhyankar's conjecture

...<ref>{{citation |first=Emil |last=Artin |title=[[Geometric Algebra (book)|Geometric Algebra]] |series=Wiley Classics Library|publisher=John Wiley & Sons Inc. ...ive.org/details/geometricalgebra033556mbp/page/n61/mode/2up?view=theater ''Geometric Algebra'', chapter 2: "एफाइन and projective geometry"], via [[Int

| title = Geometric folding algorithms: Linkages, origami, polyhedra | title-link=Geometric Folding Algorithms

{{short description|Set of mathematical concepts propagating geometric concepts}}

...ajiah Simon]] and [[George Sudarshan]] (1989) "The theory of screws: a new geometric representation for the group SU(1,1), [[Journal of Mathematical Physics]] 3

...e-date=22 August 2010 }}</ref><ref>Ingrid Carlbom, Joseph Paciorek, Planar Geometric Projections and Viewing Transformations, [[ACM Computing Surveys]], v.10 n. * Ingrid Carlbom, Joseph Paciorek, Planar Geometric Projections and Viewing Transformations, [[ACM Computing Surveys]], v.10 n.

| [[Geometric distribution|Geometric]] <math>(1 - p)^{k-1}\,p</math>

| [[Geometric distribution|Geometric]] <math>(1 - p)^{k-1}\,p</math>

{{Short description|Geometric intersection of a line and plane in 3D space}}

| title=Geometric numerical integration illustrated by the Störmer/Verlet method

| title = Complex functions: an algebraic and geometric viewpoint

...ef>{{citation|first1=Giri|last1=Narasimhan|first2=Michiel|last2=Smid|title=Geometric Spanner Networks|publisher=[[Cambridge University Press]]|year=2007|isbn=0-

...k |author1=Leo Dorst |author2=Daniel Fontijne |author3=Stephen Mann |title=Geometric Algebra for Computer Science: An Object-Oriented Approach to Geometry |url= ...orms'' |isbn=0-8176-3868-7 |year=1996 |publisher=Springer |title=Clifford (geometric) algebras with applications to physics, mathematics, and engineering}}

...doubt referring to the skull of Yorick that Hamlet interrogates in play—“a geometric skull that also looked like Ophelia’s breast. So I added a small pink dot

* {{citation | first=Thomas J. | last=Bridges | title=A geometric formulation of the conservation of wave action and its implications for sig

{{Short description|Three-dimensional curved geometric object}}

[[Image:Geometric lens.gif|thumb|त्रिज्या के दो वृत्ताक

...://demonstrations.wolfram.com/GeometricProofOfTheTetrahedralNumberFormula/ Geometric Proof of the Tetrahedral Number Formula] by Jim Delany, [[The Wolfram Demon

*{{Citation | last=Kodaira | first=Kunihiko | title=On a differential-geometric method in the theory of analytic stacks | journal=Proc. Natl. Acad. Sci. US

...ublications/ps/ll_surface.ps.gz Surface evolution and representation using geometric algebra]; in ''The Mathematics of Surfaces IX: the 9th IMA Conference, Camb ...CG/0310017 Chris Doran (2003), ''Circle and sphere blending with conformal geometric algebra'']</ref>

* J. W. Downs: ''Practical Conic Sections: The Geometric Properties of Ellipses, Parabolas and Hyperbolas''. Courier Dover 2003, {{I

{{short description|Geometric configuration of 12 points and 6 lines}}

...ook| last = Federer| first = Herbert| author-link1=Herbert Federer|title = Geometric measure theory| place= Berlin–Heidelberg–New York| publisher = [[Spring

...ामी ज्यामितीय में उच्च बिंदु माना जा सकता है।<ref>{{citation|title=Islamic Geometric Design|first=Eric|last=Broug|page=182|year=2013|publisher=[[Thames & Hudson

| journal = Computer Aided Geometric Design

...ril 2017|url-status=dead}}</ref><ref>{{Citation|last=Denef|first=Jan|title=Geometric proofs of theorems of Ax–Kochen and Ersov|year=2016|arxiv=1601.03607|bibc

* {{unichar|223a|GEOMETRIC PROPORTION|html=}}

*Geometric progression (Pañcaviṃśati-brāhmaṇa, 18.3)

{{Short description|Sum of an (infinite) geometric progression}}

{{Short description|Geometric property of certain lines with respect to a given triangle}}

{{short description|Geometric theorem regarding 3 circles intersecting at a point}}

...ard | last3= LeGland | first3 = Francois | year=1998 |title=A differential geometric approach to nonlinear filtering: the projection filter |journal= IEEE Trans ...ारा गढ़ा गया था, <ref name=lancaster>Bernard Hanzon (1987). A differential-geometric approach to approximate nonlinear filtering. In: C.T.J. Dodson, Editor, Geo

...t2=Benakli|chapter=Boundaries of hyperbolic groups|title=Combinatorial and geometric group theory|volume= 296 |year=2002|pages=39–93|series=Contemporary Mathe

...hive.org/details/mathematicalpap00smitgoog/page/n493 The Classification of Geometric Algebras], page 401 in ''Mathematical Papers'', R. Tucker editor

...Nicholas D.|last=Kazarinoff|title=Ruler and the Round: Classic Problems in Geometric Constructions|year=2003|orig-year=1970|publisher=Dover|isbn=0-486-42515-0|m ...cient Tradition of Geometric Problems|title-link= The Ancient Tradition of Geometric Problems |series=Dover Books on Mathematics|first=Wilbur Richard|last=Knorr

...| last=Dydak | chapter=Cohomological dimension theory | title=Handbook of geometric topology | pages=423–470 | publisher=[[Elsevier|North-Holland]] | locatio

...अतिरिक्त, हमारे पास गैर-अक्षम त्रिकोणों के लिए है <ref>Shattuck, Mark. “A Geometric Inequality for Cyclic Quadrilaterals”, ''Forum Geometricorum'' 18, 2018, | title = On geometric problems of Erdös and Oppenheim

|title = Topological Crystallography With a View Towards Discrete Geometric Analysis ...ितीय स्वरूप के लिए देखें<ref>M. Kotani and [[Toshikazu Sunada|T. Sunada]] "Geometric aspects of large deviations for random walks on crystal lattices" In: ''Mi

...-link=Azriel Rosenfeld |author2=Klette, Reinhard |title=Digital Geometry: Geometric Methods for Digital Image Analysis (The Morgan Kaufmann Series in Computer

...applications |chapter-url={{GBurl|6hsDCAAAQBAJ|p=3}} |title=Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976)

{{Short description|Geometric transformation}}

{{Short description|Geometric line segment whose endpoints both lie on the curve}}

...VLSI Technology'', Prentice Hall, page 129</ref>{{Clarify|reason=Provide a geometric interpretation|date=May 2022}}

...के साथ अध्ययन किया जा सकता है<ref>[https://arxiv.org/abs/quant-ph/0112169 Geometric observation for the Bures fidelity between two states of a qubit], Jing-Lin

{{see also| phase space formulation| geometric quantization|non-commutative geometry}}

...ny (1969), "On modules with quadratic forms", ''Algebraic K-Theory and its Geometric Applications'' (editors&mdash;Moss R. M. F., Thomas C. B.) Lecture Notes in *{{Citation | last1=Grove | first1=Larry C. | title=Classical groups and geometric algebra | publisher=[[American Mathematical Society]] | location=Providence

{{Short description|Geometric objects with a common centre}}

* {{cite book |first=Jürgen |last=Jost |title=Riemannian Geometry and Geometric Analysis |year=2002 |publisher=Springer-Verlag |location=Berlin |isbn=3-540

* {{Citation | last1=Jost | first1=Jürgen | title=Riemannian Geometry and Geometric Analysis | publisher=[[Springer-Verlag]] | location=Berlin, New York | edit

...–344|doi=10.1007/978-3-642-11805-0_32|year=2010|chapter=Complexity of some geometric and topological problems|isbn=978-3-642-11804-3|doi-access=free}}.

*{{cite journal |first=I. |last=Podlubny |title=Geometric and physical interpretation of fractional integration and fractional differ

...=Max|title=Périodicité de la K-théorie hermitienne, Hermitian K-Theory and Geometric Applications|series= Lecture Notes in Math. |volume=343|publisher=Springer-

...mathbb{N} \} </math>. Furthermore, the number of renewals at each time is geometric with parameter <math>p</math>. So we have \overline{X_t} &\leq \sum_{i=1}^{[at]} \operatorname{Geometric}(p) \\

...|title=A History of Non-Euclidean Geometry: Evolution of the Concept of a Geometric Space |page= 65 |publisher=Springer |isbn= 0-387-96458-4 |url=https://books

[[File:Omar Kayyám - Geometric solution to cubic equation.svg|thumb|तृतीय-डिग्री स Khayyám differentiated between "geometric" and "arithmetic" solutions.{{sfn|Struik|1987|p=97}} Khayyám mistakenly be

...ही परिणाम का लाभ होता है।<ref>{{citation |first=Sung-Joon |last=Ahn |title=Geometric Fitting of Parametric Curves and Surfaces |journal=Journal of Information P ...itor1-last=Chen |editor2-first=B. |editor2-last=Juttler |title=Advances in Geometric Modeling and Processing |series=Lecture Notes in Computer Science |volume=4

...ref>Jinpeng An (2012). [https://doi.org/10.1007%2Fs10711-011-9603-2 "Rigid geometric structures, isometric actions, and algebraic quotients"]. Geom. Dedicata ''

|title=Geometric Geodesy, Part II |title = Geometric Geodesy, Part I

{{Short description|5-dimensional geometric object}}

| contribution = Worst-case bounds for subadditive geometric graphs

...|first2=Nets |last2=Katz |first3=Terence |last3=Tao |year=2004 |journal=[[Geometric and Functional Analysis]] |volume=14 |issue=1 |pages=27–57 |doi=10.1007/s

{{Short description|Geometric figure}}

...orlink=Ian R. Porteous | first=Ian R. | last=Porteous | year=2001 | title=Geometric Differentiation | pages=198&ndash;213 | publisher=Cambridge University Pres

...t=Jürgen |last=Jost |authorlink=Jürgen Jost |title=Riemannian Geometry and Geometric Analysis |year=2002 |publisher=Springer-Verlag |location=Berlin |isbn=3-540

...itle=An introduction to quantum gravity | journal=International Journal of Geometric Methods in Modern Physics | volume=05 | issue=1 | year=2008 | issn=0219-887

...ibutivity over addition, and its ability to represent linear functions and geometric operations) is a different and much more difficult matter. ...ibutivity over addition, and its ability to represent linear functions and geometric operations) is a different and much more difficult matter.

...ड़ावार रैखिक वक्र सन्निकटन के लिए डेटा बिंदु चयन| journal = Computer Aided Geometric Design | volume = 11 | issue = 3 | pages = 289 | year = 1994 | url = https:

{{short description|Geometric construction used in Ancient Greek mathematics}}

...рубые системы | trans-title=Coarse systems | editor=V. I. Arnold | journal=Geometric Methods in the Theory of Differential Equations | series=Grundlehren der Ma

mean =<math>\sum^{k}_{i=1}1/\lambda_{i}\,</math>| * M. F. Neuts. (1981) Matrix-Geometric Solutions in Stochastic Models: an Algorthmic Approach, Chapter 2: Probabil

* [https://dspace.mit.edu/handle/1721.1/123557/ C.J. O'Rourke et al. "A Geometric Interpretation of Reference Frames and Transformations: dq0, Clarke, and Pa

...t=Jürgen |last=Jost |authorlink=Jürgen Jost |title=Riemannian Geometry and Geometric Analysis |year=2002 |publisher=Springer-Verlag |location=Berlin |isbn=3-540

...title = निहित घटता और सतहों के लिए वक्रता सूत्र| journal = Computer Aided Geometric Design| volume = 22| issue = 7| pages = 632–658| year = 2005| last1 = Gol

...on. Authors that do this frequently just use ''dimension'' when discussing geometric dimension.</ref>

...s real because it involves an integral over a real energy. To see that the geometric phase <math>\gamma_m(t)</math> is purely imaginary, differentiate the norma ...ath>\langle m(t)) | \dot{m}(t) \rangle </math> is purely imaginary, so the geometric phase <math>\gamma_m(t) </math> is purely real.

...| date=2005 | title=समूहों के उपसमुच्चय और हार शून्य सेट के आकार| journal=Geometric and Functional Analysis | volume=15 | pages=246–73 | mr=2140632 | doi=10.

{{Short description|Geometric system with a finite number of points}} ...-sets/ |postscript=, notes on a talk by [[Jean-Pierre Serre]] on canonical geometric properties of small finite sets.}}

*{{cite book |last=Porteous |first=Ian |author-link=Ian R. Porteous|title=Geometric Differentiation |url=https://archive.org/details/geometricdiffere0000port |

...r space one. The relation between the two is simply: algebraic dimension = geometric dimension + 1.</ref> यह भी {{math|''K''^''n''+1}} के ...rg/details/geometricalgebra033556mbp/page/n27/mode/2up?view=theater |title=Geometric Algebra |chapter=1.4 "Duality and pairing" |publisher=Interscience |locatio

|title = Geometric measure theory |title=Lectures on Geometric Measure Theory

...करण के रूप में वर्णित किया जा सकता है,<ref name="Talman">Richard Talman, ''Geometric Mechanics'' (2008), p. 255-56: "a "gauge" is a device for measuring a physi

...की जा सकती है।<ref>{{cite web|author=Toussaint, Godfried T.|title=Solving geometric problems with the rotating calipers |publisher=Proc. MELECON '83, Athens|ye

{{Short description|Curve created by a geometric operation}}

| title = The power of geometric duality

...amid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling|year=2002| publisher=Morgan Kaufmann| isbn=978-0-08-051547-2| at=C

...इसलिए, <math>a^2-b^2 = (a+b)(a-b)</math>.[[Image:Difference of two squares geometric proof.png]]

''On a geometric method in the combinatorial group theory''. Proceedings of the Internationa ..., ''Coherence, local quasiconvexity, and the perimeter of 2-complexes.'' [[Geometric and Functional Analysis]], vol. 15 (2005), no. 4, pp. 859&ndash;927.</ref><

* {{cite book |last1=de la Harpe |first1=Pierre |title=Topics in geometric group theory |series=Chicago lectures in mathematics |year=2000 |publisher=

* {{cite book|first=Jürgen |last=Jost |title=Riemannian Geometry and Geometric Analysis |year=2002 |publisher=Springer-Verlag |location=Berlin |isbn=3-540

| mean = <math>\frac{1}{\lambda}</math>

...2=Bohumír|last2=Bastl|first3=Miroslav|last3=Lávička|journal=Computer Aided Geometric Design|volume=27|issue=5|year=2010|pages=405–417|doi=10.1016/j.cagd.2010.

| journal = [[Algebraic & Geometric Topology]]

...McCarthy and G. S. Soh, [https://www.springer.com/us/book/9781441978912 ''Geometric Design of Linkages, 2nd Edition''], Springer 2010, dos 10.1007/978-1-4419-7

...the center frequency with geometric mean and comparison to the arithmetic mean solution]

| title = A simple sampling lemma: analysis and applications in geometric optimization ...le = Fast algorithms for collision and proximity problems involving moving geometric objects

* {{cite journal|doi=10.2307/2690617|title=Proof without Words: Geometric Series|author=Ajose, Sunday and Roger Nelsen|journal=Mathematics Magazine|v

| title=Geometric Realizations of Special Toroidal Complexes

...and Barsky, ''An Introduction to Splines for Use in Computer Graphics and Geometric Modeling,'' 1987. * Davis, [http://www.wpi.edu/~pwdavis/sinews/spline17.htm B-splines and Geometric design], ''SIAM News,'' vol. 29, no. 5, 1997.

| title = Geometric partial differential equations and image analysis

...(ज्यामितीय माध्यिका){{efn|The median is only defined in one dimension; the geometric median is a multidimensional generalization.}} | माध्य (केंद्रक){{efn|The mean can be defined identically for vectors in multiple dimensions as for scalar

...अंतरिक्ष|हिल्बर्ट]] समष्टि होता है।<ref>V.V. Buldygin, A.B. Kharazishvili. Geometric Aspects of Probability Theory and Mathematical Statistics. – Kluwer Acade

...hor3=Jacob Johansen |author4=Colin V. Parker |author5=Cheng Chin | title = Geometric Scaling of Efimov States in a Li6−Cs133 Mixture | journal = Physical Revi

| title = Optimal area polygonization problems: exact solutions through geometric duality | title = Computational Morphology: A Computational Geometric Approach to the Analysis of Form

| title = Random geometric graphs

| title = Polynomial-Time Approximation Schemes for Geometric Intersection Graphs ...ló Lovász|first3=A.|last3=Schrijver|author3-link=Alexander Schrijver|title=Geometric Algorithms and Combinatorial Optimization|series=Algorithms and Combinatori

...al] – a simple-to-follow tutorial explaining the different types of planar geometric projections.

...ress]] | year=1996 | isbn=978-0-8018-5414-9}}</ref><ref>F. Chong (1971) "A Geometric Note on the Cayley Transform", pages 84,5 in ''A Spectrum of Mathematics: E

* {{citation |last=Jost |first=Jürgen |title=Riemannian Geometry and Geometric Analysis |year=2002 |publisher=Springer-Verlag |publication-place=Berlin |i

| title = Handbook of Geometric Topology

...te web|title=Mean {{!}} mathematics|url=https://www.britannica.com/science/mean|access-date=2020-08-21|website=Encyclopedia Britannica|language=en}}</ref> {{Main|Inequality of arithmetic and geometric means}}

| title = Geometric and Algebraic Topological Methods in Quantum Mechanics

{{short description|Geometric inequality which sets a lower bound on the surface area of a set given its *{{Cite book|first=Herbert|last=Federer|author-link=Herbert Federer|title=Geometric measure theory|publisher=Springer-Verlag|year=1969|isbn=3-540-60656-4}}.

...R>{{Cite conference| first=Marcus| last=Schaefer| title=Complexity of some geometric and topological problems|url=http://ovid.cs.depaul.edu/documents/convex.pdf ...rossing number of a complete graph and Sylvester's "four point problem" of geometric probability |first1=Edward R. |last1=Scheinerman|author1-link=Ed Scheinerma

{{Short description|Geometric concept of a 2D space with a "point at infinity" adjoined}}

| title = Geometric representation of graphs in low dimension using axis parallel boxes

...े नाम से जाना जाता है।<ref>Hossam Isack, Yuri Boykov (2012). "Energy-based Geometric Multi-Model Fitting". International Journal of Computer Vision 97 (2: 1): 2 |author1=Hossam Isack |author2=Yuri Boykov | title=Energy-based Geometric Multi-Model Fitting

{{short description|Geometric space whose points represent algebro-geometric objects of some fixed kind}}

*{{Citation|title=Geometric embeddings of metric spaces|url=http://www.math.jyu.fi/research/reports/rep

...ref>[[Damiano Brigo]], Bernard Hanzon and François LeGland, A Differential Geometric approach to nonlinear filtering: the Projection Filter, I.E.E.E. Transactio

* {{citation | last=Barr | first=Alan H. | title=Geometric Modeling and Fluid Dynamic Analysis of Swimming Spermatozoa | year=1983 | p

..."geometry of manifolds" basically boiled down to "analysis on manifolds". Geometric methods heavily relied on differential machinery, as can be guessed from th ...alit (mathematician) |last2=Thomas |first2=Anne |title=Office hours with a geometric group theorist |date=2017 |publisher=Princeton University Press |isbn=978-1

...n | last=Arapura | first=Donu | title=Mixed Hodge Structures Associated to Geometric Variations | year=2006 | arxiv=math/0611837 | bibcode=2006math.....11837A | ...=Periods of integrals on algebraic manifolds III. Some global differential-geometric properties of the period mapping. | url=http://www.numdam.org/item?id=PMIHE

...=10.1007/978-3-540-73545-8_25|chapter=Enumerating Constrained Non-crossing Geometric Spanning Trees|isbn=978-3-540-73544-1|citeseerx=10.1.1.483.874}}.</ref>

* [http://www.mathsisfun.com/geometry/translation.html Geometric Translation (Interactive Animation)] at Math Is Fun

...|Until the 19th century, geometry was dominated by the assumption that all geometric constructions were Euclidean. In the 19th century and later, this was chall ...lic and the elliptic geometries. Their other proposals showed that various geometric statements were equivalent to the Euclidean postulate V. It is extremely im

...on|doi=10.1016/0010-4485(80)90025-1|title=Closure of Boolean operations on geometric entities|journal=Computer-Aided Design|volume=12|issue=5|pages=219–220|ye |title = Geometric Modeling: The mathematics of shapes

...b>2</sub>,… '''e'''_n}; see {{cite book |title=Linear Algebra: A Geometric Approach |author1=Edoardo Sernesi |author2=J. Montaldi |page=95 |url=https: ...k |url=http://www.worldcat.org/search?q=9780521715959&qt=owc_search |title=Geometric Algebra for Physicists |author1=Chris Doran |author2=Anthony Lasenby |page=

...st3=Francaviglia |first3=M. |last4=Godina |first4=M. |year=1996 |chapter=A geometric definition of Lie derivative for Spinor Fields |title=Proceedings of the 6t ...=Jürgen |last=Jost |author-link=Jürgen Jost |title=Riemannian Geometry and Geometric Analysis |year=2002 |publisher=Springer |location=Berlin |isbn=3-540-42627-

...vid Mumford | last2=Fogarty | first2=J. | last3=Kirwan | first3=F. | title=Geometric invariant theory | publisher=[[Springer-Verlag]] | location=Berlin, New Yor

* [[Jürgen Jost]], ''Riemannian Geometry and Geometric Analysis'', (2002) Springer-Verlag, Berlin. {{isbn|3-540-42627-2}}

* S. Kobayashi and T. Nagano, ''On filtered लाई algebras and geometric structures'' I, II, J. Math. Mech. '''13''' (1964), 875–907, '''14''' (19

| contribution = Geometric minimum spanning trees with GeoFilterKruskal | title = An algorithm for geometric minimum spanning trees requiring nearly linear expected time

{{Short description|Family of geometric shapes}}

...उन्मुखीकरण स्थापित करने की विधियाँ हैं।<ref>{{Cite web|title=Understanding Geometric Constraints - AutoCAD® 2012 FOR DUMMIES® [Book]|url=https://www.oreilly.c

...f| title=More Cappell-Shaneson spheres are standard |journal=[[Algebraic & Geometric Topology]] |volume=10 |issue=3 |year=2010 |pages=1665&ndash;1681 |doi=10.21 ...rst=Jerome P. |last=Levine |author-link=Jerome Levine| title=Algebraic and geometric topology |chapter=Lectures on groups of homotopy spheres |series=Lecture No

{{short description|Geometric shape}}

* {{ Citation | title = A Geometric Interpretation of the Solution of the General Quartic Polynomial | first =

...Domenico, A., "The golden ratio — the right triangle — and the arithmetic, geometric, and harmonic means," ''Mathematical Gazette'' 89, July 2005, 261. Also Mit

...e & Business Media.</ref><ref>Hairer, E., Lubich, C., & Wanner, G. (2003). Geometric numerical integration illustrated by the Störmer–Verlet method. Acta Num

...% स्पष्टता होती है।<ref>{{Cite web |last=V. Nos |year=2021 |title=Probnet: Geometric Extrapolation of Integer Sequences with error prediction |url=https://hacka

|title=Planar Geometric Projections and Viewing Transformations

...um=1&ved=0CDMQ6AEwAA#v=onepage&q&f=false J. M. McCarthy and G. S. Soh, '''Geometric Design of Linkages,''' 2nd Edition, Springer 2010]</ref>

...% स्पष्टता होती है।<ref>{{Cite web |last=V. Nos |year=2021 |title=Probnet: Geometric Extrapolation of Integer Sequences with error prediction |url=https://hacka

* [[Ian R. Porteous]] (2001) ''Geometric Differentiation'', page 71, [[Cambridge University Press]] {{ISBN|0-521-002

...ययन का एक सामान्य हिस्सा है<ref>[[Jürgen Jost]], ''Riemannian Geometry and Geometric Analysis'', Springer-Verlag (2002) {{ISBN|3-540-63654-4}}.</ref>।)

{{Short description|Geometric drawing device}}

[[File:Clay tablet, mathematical, geometric-algebraic, similar to the Pythagorean theorem. From Tell al-Dhabba'i, Iraq. [[File:Clay tablet, mathematical, geometric-algebraic, similar to the Euclidean geometry. From Tell Harmal, Iraq. 2003-

...ger metrics on the equivariant determinant of a flat vector bundle|journal=Geometric & Functional Analysis|language=en|volume=4|issue=2|pages=136–212|doi=10.1

| contribution = 1.4 Outerplanar Graphs and Convex Geometric Graphs | title = Geometric graphs and arrangements

.../josai.pdf |chapter=Problems in low-dimensional topology|title=Surgery and Geometric Topology: Proceedings of a conference held at Josai University, Sakado, Sep

| mean =<math>{\alpha\,\pi/\beta \over \sin(\pi/\beta)}</math><br />if <math {{Citation | title=Some results and applications of geometric counting processes | first=Antonio |last=Di Crescenzo | first2=Franco |last

{{short description|Geometric construct}}

...nbsp;243.</ref><ref>Gerald Farin: ''Curves and Surfaces for Computer Aided Geometric Design.'' Academic Press, 1990, {{ISBN|0-12-249051-7}}, S.&nbsp;20.</ref> ...inghub.elsevier.com/retrieve/pii/S0167839603000025 |journal=Computer Aided Geometric Design |language=en |volume=20 |issue=1 |pages=19–27 |doi=10.1016/S0167-8

...Weinstein]], ''[http://www.math.ist.utl.pt/~acannas/Books/models_final.pdf Geometric Models for Noncommutative Algebras.]'' Especially Part VI. ...cs&mdash;applications of a theory of local symmetries". In ''Algebraic and geometric combinatorics'', volume 423 of ''Contemp. Math''., 305–324. Amer. Math.

| align="center" | [[Arithmetic mean|समांतर माध्य]] [[Image:Comparison mean median mode.svg|thumb|300px|विभिन्न [[ तिरछापन

...to them. The derivative of '''y'''(''t'') is defined to be the [[Vector (geometric)|vector]], called the [[Differential geometry of curves|tangent vector]], w ...be a linear transformation because higher-order derivatives reflect subtle geometric information, such as concavity, which cannot be described in terms of linea

...ggenheimer sums up the field by noting, "A Klein geometry is the theory of geometric invariants of a transitive transformation group (अरलैंगेन p

...edings of Symposia in Pure Mathematics | pages = 51–86 | title = Discrete geometric analysis | volume = 77 | year = 2008| doi = 10.1090/pspum/077/2459864 | isb

...ive.org/details/geometricalgebra033556mbp/page/n57/mode/2up?view=theater ''Geometric Algebra''], pages 47 to 49, via [[Internet Archive]]</ref>

...>{{cite journal | title=Permutation Polynomial Interleavers: An Algebraic-Geometric Perspective| year=2006 | first1=Oscar | last1= Takeshita | arxiv = cs/0601

...author1-link=Shoshichi Kobayashi | title=Intrinsic distances, measures and geometric function theory | journal=[[Bulletin of the American Mathematical Society]]

| title=Geometric aspects of Dwork theory

...होना चाहिए।<ref>For a comparison of the geometric derivation and the (non-geometric) spin-2 field derivation of general relativity, refer to box 18.1 (and also

...tp://forumgeom.fau.edu/FG2008volume8/FG200828.pdf Oxman, Victor, "A purely geometric proof of the uniqueness of a triangle with prescribed angle bisectors", ''F

...=Näher |first2=S. |year=1999 |title=LEDA: A platform for combinatorial and geometric computing |contribution=Chapter 6: Graphs and their data structures |publis

...e.pdf]</ref><ref name="lejdfors">Carl Johan Lejdfors, Surfaces of Constant Mean Curvature. Master’s thesis Lund University, Centre for Mathematical Scien ...s://www.jstor.org/stable/24897145 Existence and classification of constant mean curvature multibubbletons of finite and infinite type], Indiana Univ. Math.