existence theorem वाक्य
उदाहरण वाक्य
मोबाइल
- This may be construed as a non-existence theorem by taking " & phi; " to be merely a smooth function.
- In fact, by the existence theorem for limits, all finite limits exist in a category with a terminal object, binary products and equalizers.
- Several existence theorems for Riemann Hilbert problems have been produced by Krein, Gohberg and others ( see the book by Clancey and Gohberg ( 1981 ) ).
- The abstract conditions being known for this ( Brown's representability theorem ) ensure that the result, as an existence theorem, is affirmative and not too difficult.
- I may overlook something that I cannot find any existence theorem with proof that a simple curve with different endpoints can be deformed in the plane onto a closed interval.
- It also does not include an analog of the existence theorem in class field theory, i . e . the concept of class fields is absent in the Langlands correspondence.
- Other theorems, such as the Peano existence theorem, give sufficient conditions for solutions to exist without necessarily being unique, which can allow for the existence of singular solutions.
- The Peano existence theorem however proves that even for ? merely continuous, solutions are guaranteed to exist locally in time; the problem is that there is no guarantee of uniqueness.
- It is these generalized ideal class groups which correspond to abelian extensions of " K " by the existence theorem, and in fact are the Galois groups of these extensions.
- Note that an everywhere defined extension exists for every operator, which is a purely algebraic fact explained at Discontinuous linear map # General existence theorem and based on the axiom of choice.
- In a single evening, Scarf realized that he could directly translate the Lemke-Howson s algorithm through a limiting process into an elementary and constructive proof of his core existence theorem.
- However, in general, the theorem is only an existence theorem, and does not provide any way for computing the solution, unless if one has an algorithm for computing the coefficients of B�zout's identity.
- He is known for his work on the embedding problem in algebraic number theory, the B�yer Neukirch theorem on special values of L-functions, arithmetic Riemann existence theorems and the Neukirch Uchida theorem in birational anabelian geometry.
- A typical application is furnished by the Arzel? Ascoli theorem or the Peano existence theorem, in which one is able to conclude the existence of a function with some required properties as a limiting case of some more elementary construction.
- The " existence theorem " for the twisted inverse image is the name given to the proof of the existence for what would be the counit for the comonad of the sought-for adjunction, namely a natural transformation
- The theorem also leads to the Grothendieck existence theorem, which gives an equivalence between the category of coherent sheaves on a scheme and the category of coherent sheaves on its formal completion ( in particular, it yields algebralizability .)
- Additionally, there should be at least a possibility ( if not a guarantee ) that the partner receives more than 1 / " n "; this explains the importance of the existence theorems of super-proportional division.
- It for example brings into question any use of Landau notation and its implied constants : are assertions pure existence theorems for such constants, or can one recover a version in which 1000 ( say ) takes the place of the implied constant?
- It was first proved by Kurt G�del in 1929 . It was then simplified in 1947, when Leon Henkin observed in his Ph . D . thesis that the hard part of the proof can be presented as the Model Existence Theorem ( published in 1949 ).
- A controversy that goes back to the early twentieth century concerns the issue of purely theoretic existence theorems, i . e ., theorems depending on non-constructive foundational material such as the axiom of infinity, the axiom of choice, or the law of excluded middle.
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