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[[Category:Uniqueness theorems]] [[Category:Theorems in number theory]] ...

*[[Tutte's spring theorem]], on the planarity and uniqueness of graph drawings obtained from systems of idealized springs ...

...mplified proof is given in {{harv|Rubinstein|Swarup|1990}}, and a stronger uniqueness statement is proven in {{harv|Harris|Scott|1996}}. ...n | last1=Harris | first1=Luke | last2=Scott | first2=G. Peter | title=The uniqueness of compact cores for 3-manifolds | url=http://projecteuclid.org/getRecord?i ...

...gular solution'' is used to mean a solution at which there is a failure of uniqueness to the initial value problem at every point on the curve. A singular soluti ...exist, can be used to rule out the existence of singular solutions. Other theorems, such as the [[Peano existence theorem]], give sufficient conditions for so ...

...k inequalities]], and [[Phragmén–Lindelöf principle|Phragmén–Lindelöf type theorems]]. With [[Georgy Adelson-Velsky]], he invented the [[AVL tree]] [[data str ...

...www.whitman.edu/mathematics/higher_math_online/section02.05.html|title=2.5 Uniqueness Arguments|website=www.whitman.edu|access-date=2019-12-15}}</ref> or "∃<sub> == Proving uniqueness == ...

safely without uniqueness. ...T</math>, which means that the theory <math>T_1</math> has the same set of theorems in the original language (i.e., without constants <math>a_i</math>) as the ...

The '''uniqueness theorem''' for [[Poisson's equation]] states that, for a large class of [[b The uniqueness of the solution can be proven for a large class of boundary conditions as f ...

==Theorems of which articles are primarily devoted to proving them== ==Articles devoted to theorems of which a (sketch of a) proof is given== ...

...|first=Paul-André |year=1963 |title=Decomposition of Supermartingales: the Uniqueness Theorem |journal=Illinois Journal of Mathematics |volume=7 |issue=1 |pages= [[Category:Theorems in statistics]] ...

...ywhere, or any theorem written in [[big O notation]], can be considered as theorems which are existential by nature—since the quantification can be found in th ...nfinity]], the [[axiom of choice]] or the [[law of excluded middle]]. Such theorems provide no indication as to how to construct (or exhibit) the object whose ...

...partial differential equation]]s and related topics ([[potential theory]], uniqueness of continuation and Carleman estimates, nonlinear functional analysis and ...roblems of gravimetry (general uniqueness conditions and local solvability theorems) and related problems of imaging including prospecting active part of the b ...

...simple algebraic terms the numerical parameters that determine classes of uniqueness and well-posed of the Cauchy problem for systems of linear partial differen ...bolic systems degenerating at infinity and on the dependence of classes of uniqueness on the transformations of the spatial argument. most of her works during th ...

The prime decomposition holds also for non-orientable 3-manifolds, but the uniqueness statement must be modified slightly. Every compact, non-orientable 3-manifo ...Existence was proven by Kneser, but the exact formulation and proof of the uniqueness was done more than 30 years later by [[John Milnor]]. ...

{{short description|Uniqueness theorem in complex analysis}} ...ics]], in the area of [[complex analysis]], '''Carlson's theorem''' is a [[uniqueness theorem]] which was discovered by [[Fritz Carlson|Fritz David Carlson]]. In ...

...ansformation can be derived from the [[electromagnetism uniqueness theorem|uniqueness theorem]]. In the present context, it implies that a black box with two ter [[Category:Circuit theorems]] ...

...mal system]] that doesn't allow you to introduce new symbols after proving theorems, then you will have to use relation symbols to get around this, as in the n This is useful, for example, in the context of proving [[metalogic]]al theorems (such as [[Gödel's incompleteness theorem]]s), where one doesn't want to al ...

{{Short description|Existence and uniqueness of solutions to initial value problems}} ...ce theorem''', the '''Cauchy–Lipschitz theorem''', or the '''existence and uniqueness theorem'''. ...

==Uniqueness== * {{MathWorld | urlname= FundamentalTheoremsofCalculus | title= Fundamental Theorems of Calculus}} ...

==Existence and uniqueness theorems== ...