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Definition for compactly

WebIn mathematics, the compact-open topology is a topology defined on the set of continuous maps between two topological spaces. The compact-open topology is one of the commonly used topologies on function spaces, and is applied in homotopy theory and functional analysis. It was introduced by Ralph Fox in 1945.[1] WebJun 5, 2024 · Function of compact support A function defined in some domain of $ E ^ {n} $, having compact support belonging to this domain. More precisely, suppose that the function $ f ( x) = f ( x _ {1} \dots x _ {n} ) $ is defined on …

How To Say Compactly - YouTube

WebDec 11, 2024 · A topological space is called compactly generated – also called a “k-space” 1 ( Gale 1950, 1., following lectures by Hurewicz in 1948), “Kelley space” ( Gabriel & Zisman 1967, III.4 ), or “kaonic space” ( Postnikov 1982, p. 34) – if its topology is detected by the continuous images of compact Hausdorff spaces inside it. WebAdv. 1. compactly - in a compact manner or state; " The children were packed compactly into the car ". 2. compactly - with concise and precise brevity; to the point; " Please state … allinitcorp https://expodisfraznorte.com

Compactly generated space - Wikiwand

WebCHAPTER 1. DEFINITIONS AND APPROXIMATIONS 4 Corollary 1.5 (Fundamental lemma of the calculus of variations). If f 2L1 loc (›) satisfies › f’dx˘0 for every ’2C1 0 (›), then f ˘0 almost everywhere in ›. T H E M O R A L: This is an integral way to say that a function is zero almost everywhere. WebView history. The graph of the bump function where and. In mathematics, a bump function (also called a test function) is a function on a Euclidean space which is both smooth (in the sense of having continuous derivatives of all orders) and compactly supported. The set of all bump functions with domain forms a vector space, denoted or … Webcompact. Closely and tightly packed together; solid. Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun … all in interior remodeling

What does compactly mean? - Definitions

Category:Compact Definition & Meaning - Merriam-Webster

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Definition for compactly

Compact Definition & Meaning Britannica Dictionary

Webcompactly adverb us / kəmˈpækt.li / uk / kəmˈpækt.li / in a way that uses very little space: The tent folds compactly when not in use. It is hoped that building more compactly will … Webin a compact manner or state “The children were packed compactly into the car” adverb taking up no more space than necessary “liquid food compactly stored in a pressurized …

Definition for compactly

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WebA compact object of is an object such that the map is bijective for any set and objects parametrized by . This notion turns out to be very useful in algebraic geometry. It is an intrinsic condition on objects that forces the objects to be, well, compact. Lemma 13.37.2. Let be a (pre-)triangulated category with direct sums. WebSep 23, 2024 · Local compactness is one of the conditions that are often required by default for working with topological spaces: locally compact spaces are a class of “ nice topological spaces ”. Definition 0.2 Definition 0.3. (local compactness via …

Weba. : a compactly settled area usually larger than a village but smaller than a city. b. : a compactly settled area as distinguished from surrounding rural territory. c. : a large … Webdefinition noun def· i· ni· tion ˌdef-ə-ˈnish-ən 1 : an act of determining or settling the limits 2 a : a statement of the meaning of a word or word group or a sign or symbol b : the action or process of defining 3 a : the action or the power of making definite and clear b : clarity, distinctness definitional -ˈnish-nəl -ən-ᵊl adjective

WebDefinition The convolution of f and g is written f ∗ g, denoting the operator with the symbol ∗. [B] It is defined as the integral of the product of the two functions after one is reflected about the y-axis and shifted. As such, it is a particular kind of integral transform: (f ∗ g) (t):= ∫ − ∞ ∞ f (τ) g (t − τ) d τ. {\displaystyle (f*g)(t):=\int _{-\infty }^{\infty }f(\tau ... WebWhat is another word for compactly? Contexts In a compact or concise manner In a narrowly enclosed way Adverb for having all the necessary components or features neatly fitted into a small space Adverb for having a solid, almost unyielding surface or structure Adverb In a compact or concise manner briefly concisely succinctly summarily tersely

WebMar 27, 2015 · A more down-to-earth definition of the compactly supported cohomology is as follows: which reduces us to defining the compactly supported (étale) cohomology of a torsion sheaf on . We then define this as follows. Let be the structure morphism of . Then, by Nagata compactification we can (densely) open embed . We then define as follows:

Web: something that is compact or compacted: a : a small cosmetic case (as for compressed powder) b : an automobile smaller than an intermediate but larger than a subcompact … all in italienWebBritannica Dictionary definition of COMPACT. [more compact; most compact] 1. a : smaller than other things of the same kind. The camera is compact. The drill has a compact design. a compact car. b : using little space and having parts that are close together. the apartment's compact floor plan. all initial d episodesWebIn a compact or concise manner In a narrowly enclosed way Adverb for having all the necessary components or features neatly fitted into a small space Adverb for having … all initial d in orderWebcompactly definition: 1. in a way that uses very little space: 2. in a way that uses very little space: . Learn more. all initiatorsWebcompactly: 1 adv in a compact manner or state “The children were packed compactly into the car” adv taking up no more space than necessary “liquid food compactly stored in a pressurized tank” adv with concise and precise brevity; to the point “he wrote compactly but clearly” Synonyms: succinctly all initialWeb[more compact; most compact] 1 a : smaller than other things of the same kind The camera is compact. The drill has a compact design. a compact car b : using little space … allini vinoWebDefinition of compactly. in a compact manner or state; "The children were packed compactly into the car"; taking up no more space than necessary; "liquid food compactly … all initial pokemon