Search results
- DictionaryUn·bound·ed/ˌənˈboundəd/
adjective
- 1. having or appearing to have no limits: "the possibilities are unbounded"
May 24, 2024 · Definitions of unboundedness. noun. the quality of being infinite; without bound or limit. synonyms: boundlessness, infiniteness, infinitude, limitlessness. see more.
May 21, 2024 · e. In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which may or may not be in the domain of the function. Formal definitions, first devised in the early 19th century, are given below.
6 days ago · Let : be an unbounded operator. The resolvent set (or regular set ) of A {\displaystyle A} is defined as ρ ( A ) = { λ ∈ C : ∃ ( A − λ I ) − 1 bounded and densely defined } . {\displaystyle \rho (A)=\left\{\lambda \in \mathbb {C} \,:\,\exists (A-\lambda I)^{-1}\;{\text{bounded and densely defined}}\right\}.}
2 days ago · In mathematics, a metric space is a set together with a notion of distance between its elements, usually called points. The distance is measured by a function called a metric or distance function. [1] Metric spaces are the most general setting for studying many of the concepts of mathematical analysis and geometry .
1 day ago · However, a more subtle yet equally unsettling reckoning may be brewing—one that strikes at the core of how we define human value and our species' self-perception. ... unbounded potential ...
4 days ago · 1 other. contributed. A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions. Leon is the manager of a textile factory.
May 11, 2024 · $\begingroup$ You can just take $(X, \|\cdot\|)$ and an unbounded linear functional $f$, define a second norm $\|x\|'=\|x\|+|f(x)|$, then let $Y=\overline{(X, \|\cdot\|')}$. If the range of $T$ is closed, then $(X, \|\cdot\|')$ is already complete, hence $T$ is bounded by Banach inverse theorem, that is $\|x\|'=\|x\|+|f(x)|\le C\|x\|$ for some ...
