existence theorem उदाहरण वाक्य
उदाहरण वाक्य
- 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.