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...0521586986|language=en}}</ref><ref>{{Cite web |date=2020-05-11 |title=2.8: Uniqueness Theorem |url=https://phys.libretexts.org/Bookshelves/Electricity_and_Magnet *[[Uniqueness theorem]] ...

==Minkowski's uniqueness theorem== ...of information per facet) it is possible to generalize these existence and uniqueness results to certain classes of non-convex polyhedra.{{r|herisson}} ...

...|first1=Toshio |last1=Yamada |first2=Shinzō |last2=Watanabe |title=On the uniqueness of solutions of stochastic differential equations |journal=J. Math. Kyoto U ...rtin Ondrejat (2004<ref>{{cite journal |first=Martin |last=Ondreját |title=Uniqueness for stochastic evolution equations in Banach spaces |journal=Dissertationes ...

...h P. LaSalle]] (1916–1983) in 1949<ref>{{cite journal | title = Uniqueness theorems and successive approximations | author = J. LaSalle | journal =Annals of Ma ...al | title = A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations | author = I. Bihari | journal = [[Acta ...

{{short description|Uniqueness for linear partial differential equations with real analytic coefficients}} ...the Swedish mathematician [[Erik Albert Holmgren]] (1873&ndash;1943), is a uniqueness result for linear [[partial differential equations]] with [[real analytic]] ...

...phical handbook.}}</ref> It is one of many [[Comparison theorem|comparison theorems]]. ...ения. Метод дифференциальных неравенств Чаплыгина. |trans-title=Comparison theorems. Chaplygin's differential inequalities method. |url=http://math.phys.msu.ru ...

==The uniqueness theorems== ...ness theorem for graph C*-algebras]]. Formal statements of the uniqueness theorems are as follows: ...

Bierlein gave a result which stated an implication for uniqueness of the extension.<ref name="db" /> Ascherl and Lehn gave a condition for eq [[Category:Theorems in measure theory]] ...

== Uniqueness of a solution == [[Category:Theorems in analysis]] ...

...</math> of finitely many indecomposable subgroups of <math>G</math>. Here, uniqueness means direct decompositions into indecomposable subgroups have the exchange The proof of uniqueness, on the other hand, is quite long and requires a sequence of technical lemm ...

{{short description|Existence and uniqueness theorem for certain partial differential equations}} ...walevski theorem''') is the main local [[existence theorem|existence]] and uniqueness theorem for [[analytic function|analytic]] [[partial differential equation] ...

...ask, and Iain Raeburn, Pacific J. Math. 184 (1998), no. 1, 161–174.</ref> Uniqueness of <math>C^*(E)</math> (up to {{nowrap|<math>*</math>-isomorphism}}) follow ...results easier to prove in the row-finite case, but also the statements of theorems are simplified when describing C*-algebras of row-finite graphs. Historica ...

...first1=Victor L. }}</ref><ref>{{cite journal|author=Ash, J. Marshall|title=Uniqueness of representation by trigonometric series|journal=The American Mathematical ...

...of the remaining book.{{r|gorkaviy}} Chapters 3 and 4 prove [[Alexandrov's uniqueness theorem]], characterizing the surface geometry of polyhedra as being exactl ...uding a simplified proof of Pogorelov's theorems generalizing Alexandrov's uniqueness theorem to non-polyhedral convex surfaces.{{r|connelly}} ...

...=Joseph Shalika|last=Shalika|year=1974}} for ''n''&nbsp;>&nbsp;2 using the uniqueness of the [[Whittaker model]]. Multiplicity-one also holds for [[Special linea ...071506 | year=2004 | volume=20 | chapter=Lectures on L-functions, converse theorems, and functoriality for GL_''n'' | chapter-url=http://www.math.osu ...

* Proving existence and uniqueness (up to isotopy) of smooth structures on surfaces<ref>{{cite arXiv |last1=Ha * Proving existence and uniqueness (up to isotopy) of [[Piecewise linear manifold|PL structures]] on 3-manifol ...

* '''Uniqueness of topology''': If <math>X</math> is a finite-dimensional vector space and [[Category:Theorems in functional analysis]] ...

...irst part and the assumptions it follows that ''f''(''D'') = ''g''(''D''). Uniqueness in the [[Riemann mapping theorem]] forces ''f'' = ''g'', so the original se [[Category:Theorems in complex analysis]] ...

=== Uniqueness === To prove uniqueness, let {{math|''X'' {{=}} ''M''{{'}} + ''A''{{'}}}} be an additional decompos ...

...surface currents are enforced by the [[Electromagnetism uniqueness theorem|uniqueness theorem in electromagnetism]], which dictates that a unique solution can be * [[Electromagnetism uniqueness theorem]] ...