open interval वाक्य
उदाहरण वाक्य
मोबाइल
- The "'interior "'of an interval is the largest open interval that is contained in; it is also the set of points in which are not endpoints of.
- It consists of the product of two copies of the Sorgenfrey line, which is the real line \ mathbb { R } under the half-open interval topology.
- For example, the open interval on the integers is empty since there are no integers " i " such that 1 < " i " < 2.
- Note that the theorem applies even when the function cannot be differentiated at the endpoints because it only requires the function to be differentiable in the open interval.
- Additionally, some spaces that are not complete metric spaces in the usual metric may be Polish; e . g ., the open interval ( 0, 1 ) is Polish.
- The theorem cannot be applied to this function, clearly, because it does not satisfy the condition that the function must be differentiable for every x in the open interval.
- For example, let " X " be the set of ordinals at most equal to the first uncountable ordinal ?, with the topology generated by " open intervals ".
- Therefore, the polynomial p ( x ) has either two or no real roots in the open interval ( 0, 2 ), a case that must be further investigated.
- Therefore, the polynomial p ( x ) has either two or no real roots in the open interval ( 0, 2 ), a case which should be further investigated.
- A function that is equal to its Taylor series in an open interval ( or a disc in the complex plane ) is known as an analytic function in that interval.
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