bounded set वाक्य
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- Where the last equality follows from the fact that " ? " has compact support, so is zero outside of a bounded set.
- For any nonempty compact set A in X . ( For contractive IFS this convergence takes place even for any nonempty closed bounded set A ).
- In addition, some texts require a polytope to be a bounded set, while others ( including this article ) allow polytopes to be unbounded.
- If \ R is viewed as a metric space, its open balls are the open bounded sets, and its closed balls are the closed bounded sets.
- If \ R is viewed as a metric space, its open balls are the open bounded sets, and its closed balls are the closed bounded sets.
- An indicator function of a bounded set is Riemann-integrable if and only if the set is measure-theoretically as the integral with respect to the Jordan measure.
- If it is a finite bounded set then it will have a minimum, but that's a fairly trivial statement so I wouldn't call it a theorem.
- They investigated what strategies the players should take given the constraints that they draw their strategies from computationally bounded sets and introduce grace periods to prevent the dominance of vengeful strategies.
- In finite-dimensional spaces, the Palais Smale condition for a continuously differentiable real-valued function is satisfied automatically for proper maps : functions which do not take unbounded sets into bounded sets.
- An intuitive reason why topological equivalence does not imply strong equivalence is that bounded sets under one metric are also bounded under a strongly equivalent metric, but not necessarily under a topologically equivalent metric.
- Note that for abelian von Neumann algebras acting on such direct integral spaces, the equivalence of the weak operator topology, the ultraweak topology and the weak * topology on norm bounded sets still hold.
- X ^ \ star is defined as the space of continuous linear functionls X'endowed with the topology of uniform convergence on totally bounded sets in X ( and the " stereotype second dual space"
- :and it's easy to see that this limit is uniform only if x is constrained to be in some bounded set .-- Talk ) 07 : 01, 5 February 2006 ( UTC)
- The famous Mandelbrot set is a subset of this parameter space, consisting of the points in the complex plane which give a bounded set of numbers when a particular iterated function is repeatedly applied from that starting point.
- So { "'L " "'k " } is a bounded set in the Banach space of operators, therefore relatively compact ( because the underlying vector space is finite-dimensional ).
- Is it correct to say, for a bounded set, that to find the average value of a function over that set, just integrate over that set and divide by its Lebesgue measure, assuming that its Lebesgue measure is nonzero?
- If in addition " B " is stable under the formation of convex hulls ( i . e . the convex hull of a bounded set is bounded ) then " B " is called a "'convex vector bornology " '.
- Is there a term for / area of study of the type of bounded sets ( specifically in \ mathbb { R } ^ n ) such that x \ in U \, \ Rightarrow-x \ in U ? ( Where U also contains 0 ).
- X ^ \ star is defined as the space of all linear continuous functionals f : X \ to \ mathbb { C } endowed with the topology of uniform convergence on totally bounded sets in " X ", and the " second dual space"
- In geometry, the "'Chebyshev center "'of a bounded set Q having non-empty interior is the center of the minimal-radius ball enclosing the entire set Q, or alternatively ( and non-equivalently ) the center of largest inscribed ball of Q.
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