Adopting the definition that the cycle space is the set of all edge-sets of subgraphs in which every vertex has even degree (and allowing restricted infinite sums), we prove a general analogue of Thomassens's result, obtaining a cycle space characterization of a graph having an embedding in ...
[Math.]a number greater than or equal to, or less than or equal to, all the numbers in a given set. Cf.greatest lower bound, least upper bound, lower bound, upper bound. out of bounds: beyond the official boundaries, prescribed limits, or restricted area:The ball bounced out of bounds...
bounded set (redirected fromBounded from below) [¦bau̇n·dəd ′set] (mathematics) A collection of numbers whose absolute values are all smaller than some constant. A set of points, the distance between any two of which is smaller than some constant. ...
boundedadj(mathematics: less than a set number)(集合)SCSimplified Chinese有界的 WordReference English-ChineseDictionary © 2025: 主要翻译 英语中文 bound by[sth]adj + prepfigurative(legally obligated)(法律)SCSimplified Chinese受约束的,受到义务束缚的shòu yuē shù de ,shòu dào yì wù shù fù...
The set U is bounded as we can take R = M in the definition of a bounded set, satisfying |z| ≤ R for all z ∈ U.A set U ⊆ ℂ is said to be bounded if there exists a real - number R > 0 such that for all z = x + iy ∈ U,|z| = √(x^2+y^2) ≤ R.We ...
Define Bounded metric. Bounded metric synonyms, Bounded metric pronunciation, Bounded metric translation, English dictionary definition of Bounded metric. Noun 1. metric space - a set of points such that for every pair of points there is a nonnegative re
Definition 1.1.1 A bounded set B0 is called an absorbing set of {St} if for every bounded set B there exists T such that St B ⊂B 0 for all t ⩾ T. Semigroups that possess a bounded absorbing set are often called bounded dissipative; when the statement holds only for one-point...
In accordance with its pivotal textbook definition of “bounded output under bounded input,” the stability appears as the ability to maintain and control, within safe limits, joint positions and motions in submaximal activities under voluntary tasks and suddenly applied internal–external disturbances. ...
Answer to: Prove : If f is unbounded, then f is not integrable (use definition of bounded and theorem V) By signing up, you'll get thousands of...