A slowly increasing force is exerted on the powder compact and the point at which failure occurs Webhaving a short and solid form or stature. By the same construction, every locally compact Hausdorff space X is an open dense subspace of a compact Hausdorff space having at most one point more than X. R or lack of power; for example, C is compact and FORTRAN is not, but C is Z This option reduces file size when saving workset-enabled files. 3, c. 3; Rutherf. We had an understanding that the businesses would merge, but never got that in writing. C Bible Definition and References Bible Quick Reference Dictionary Compact; Compacted Compact; Compacted International Standard Bible Encyclopedia - Compact; Compacted COMPACT; COMPACTED kom-pakt', kom-pakt'-ed (chabhar, "to be joined"; sumbibazo, "to raise up together"): GoPro on Monday announced a new $400 action camera, the Hero4 Session, a cube-shaped device said to be half as big and 40 percent conjugation of the verb compact in English. Before I realized compact meant small, I saw that compact sets were often easier to deal with. the United States declares that "no state shall, without the consent of ( You use this word when you think this is a good quality . WebSOCIAL COMPACT THEORYAn invention of political philosophers, the social contract or social compact theory was not meant as a historical account of the origin of government, but the theory was taken literally in America where governments were actually founded upon contract. Learn a new word every day. The drill has a compact design. corporate sustainability initiative. Sometimes dumb-bells, compact sheaves of fine needles, and irregular rhizome forms are seen (Fig. Apple announced that My Photo Stream will shut down on May 26, 2023, in favor of iCloud Photos as the preferred way to keep your images and videos in sync. to make yourself rich, especially in a way that is unfair or dishonest, On its last legs (Describing the condition of objects, Part 1), Cambridge University Press & Assessment 2023. Language links are at the top of the page across from the title. For example, the point .0001 is in the interval (1/10001,1), even though its not in the intervals (1/2,1), (1/3,1), and so on up to (1/10000,1). For a certain class of Green's functions coming from solutions of integral equations, Schmidt had shown that a property analogous to the ArzelAscoli theorem held in the sense of mean convergence or convergence in what would later be dubbed a Hilbert space. a small cosmetics case with a mirror; to be carried in a woman's purse, a signed written agreement between two or more parties (nations) to perform some action, closely and firmly united or packed together, "compact soil"; "compact clusters of flowers", compact, heavyset, stocky, thick, thicksetadjective, "a wrestler of compact build"; "he was tall and heavyset"; "stocky legs"; "a thickset young man", compendious, compact, succinct, summaryverb, "a short and compendious book"; "a compact style is brief and pithy"; "succinct comparisons"; "a summary formulation of a wide-ranging subject", have the property of being packable or of compacting easily, "This powder compacts easily"; "Such odd-shaped items do not pack well", make more compact by or as if by pressing, compress, constrict, squeeze, compact, contract, pressverb, "she compressed her lips"; "the spasm contracted the muscle". (For more on open sets, check out my post Change your open sets, change your life.) Various definitions of compactness may apply, depending on the level of generality. However, an open disk is not compact, because a sequence of points can tend to the boundary without getting arbitrarily close to any point in the interior. Its harder to show that we couldnt cook up a different pathological open cover, so youll have to take my word for it for now. My Photo Stream is a free service that launched in the early days of iCloud, designed to store the most recent 1,000 images in iCloud for 30 days. WebIn mathematics, specifically general topology, compactness is a property that seeks to generalize the notion of a closed and bounded subset of Euclidean space. It will swiftly become clear that there is no room in this starry-eyed arrangement for a compact with Washington. Commercial Product of compingrecom, together, pangre, to fix. What Does the Bible Have to Say about Weed? An example would be the set of all open intervals, which covers the real number line. a wrestler of compact build. In 1870, Eduard Heine showed that a continuous function defined on a closed and bounded interval was in fact uniformly continuous. WebThe names rental companies use for their cars can be confusing. A subset K of a topological space X is said to be compact if it is compact as a subspace (in the subspace topology). Consolidation Of Military Personnel Activities. Compact is also concise; brief. A compact is a porous solid that is made by pressing a powder. In this regard, village compacts can be understood to be a type of the association popular at the time, which operated under certain agreed terms. Thus, if one chooses an infinite number of points in the closed unit interval [0, 1], some of those points will get arbitrarily close to some real number in that space. While Interior Secretary Sally Jewell recognized the government of Guam's financial toll as host to an increasing number of regional migrants, Advantech is prepping an Intel Quark based IoT gateway that runs Yocto Linux and offers PoE support. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. Web. 1, 2 and 4 and for Respondents, Hungary to reject UN's new global compact on refugees, Millennium Challenge Corporation Official In Sri Lanka to Continue Progress on Compact, Cities and counties want a piece of casino revenue, Korea's supremacy in cushion compact at stake, AL JISR FOUNDATION IS OMAN'S FIRST NON-PROFIT ORGANISATION TO SIGN UN GLOBAL COMPACT, Afghan President signs decree for implementing strategic deal with US, The approval of Waukesha's diversion application under the Great Lakes-St. Lawrence River Basin water resources compact - bad precedent for the Great Lakes, TEI files brief with the U.S. Supreme Court in California Multistate Tax Compact litigation, Compact Amsterdam Paedo-Audiometric Screener, Compact And Scalable Dedicated Ethernet Processors, Compact Automated Centroid Target Instrumentation System, Compact Automatic Message Handling System. It is a peculiar kind of small, but at its heart, compactness is a precise way of being small in the mathematical world. His investment in this sort of writing signals, we believe, a project aimed at compacting essential knowledge in di#erent book forms. A covenant is a mutual voluntary compact between two parties on given terms or conditions. A call to companies to align strategies and operations with universal principles on human rights, labour, environment and anti-corruption, and take actions that advance societal goals. Morphological processing (analysis and generation) is computationally faster, and the data for the process can be compacted more tightly than with other methods. All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. Hit the Albums tab, open the My Photo Stream album and touch the Select button (iPhone/iPad), or open the My A space X is compact if its hyperreal extension *X (constructed, for example, by the ultrapower construction) has the property that every point of *X is infinitely close to some point of X *X. Bounded is a little more like what it sounds like: points in a bounded space are all within some fixed distance of each other. a compact statement. Middle English compact "firmly put together," from Latin compactus (same meaning), from compingere "to join," from com- "together" and pangere "to fasten", from Latin compactum "agreement," derived from compacisci "to make an agreement," from com- "with, together" and pacisci "to agree", Nglish: Translation of compact for Spanish Speakers, Britannica English: Translation of compact for Arabic Speakers. When you rent a car, you might be surprised to get a different car from what you booked. This revised edition of Ken Pohlmann's classic survey of the compact disc world celebrates the 10th birthday of the most successful consumer electronics product ever produced. R. 60; 11 Pet. Explore our digital archive back to 1845, including articles by more than 150 Nobel Prize winners. Rank popularity for the word 'compact' in Adjectives Frequency: #823, The numerical value of compact in Chaldean Numerology is: 3, The numerical value of compact in Pythagorean Numerology is: 8. Nor are the nerves of his compacted strengthStretchd, and dissolvd into unsinewd length. 'pa pdd chac-sb tc-bd bw hbr-20 hbss lpt-25' : 'hdn'">, amnachphoto/iStock/Getty Images Plus/GettyImages. The worst enemy of truth and freedom in our society is the compact majority. to make yourself rich, especially in a way that is unfair or dishonest, On its last legs (Describing the condition of objects, Part 1), Cambridge University Press & Assessment 2023. This disease is more dangerous as the solids are more strict and compacted, and consequently more so as people are advanced in age. It is of an exceedingly hard, densely compact nature; from its hardness difficult to work, but susceptible of a very high polish. Compactness asks if there is a way to whittledown that collection to a finite number of intervals and still cover the entire number line. Calcite precipitation rate decreased with depth, and deeper microbial structures are more commonly compacted. (of a set) having the property that in any collection of open sets whose union contains the given set there exists a finite number of open sets whose union contains the given set; having the property that every open cover has a finite subcover. closely and firmly united or packed together 2. having a short and solid form or stature 3. briefly giving the gist of something Familiarity information: COMPACT used as an {\displaystyle -\infty } equivalent tool that is not compact. 98% incorporated. For example, considering For example, an open real interval X = (0, 1) is not compact because its hyperreal extension *(0,1) contains infinitesimals, which are infinitely close to 0, which is not a point of X. When 'thingamajig' and 'thingamabob' just won't do, A simple way to keep them apart. Non-compact ones can squirm out of your hands like blobs of rice pudding. For completely regular spaces, this is equivalent to every maximal ideal being the kernel of an evaluation homomorphism. In its more general sense, it signifies an agreement. Inst. Isaac Newton, Opt. Evelyn Lamb is a freelance math and science writer based in Salt Lake City, Utah. to confirm.adj. Without attraction the dissevered particles of the chaos could never convene into such great compact masses as the planets. Generalisation d'un theorem de Weierstrass. With email, the same thing happens. Compact means small. Each one of those intervals lies within (0,1), and put together, any number in the interval (0,1) is in at least one interval of the form (1/n,1). 2, c. 6, Sec. Since a continuous image of a compact space is compact, the extreme value theorem holds for such spaces: a continuous real-valued function on a nonempty compact space is bounded above and attains its supremum. Princeton's A continuous bijection from a compact space into a Hausdorff space is a, On the other hand, the closed unit ball of the dual of a normed space is compact for the weak-* topology. For instance, some of the numbers in the sequence .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:center}.mw-parser-output .sfrac .num,.mw-parser-output .sfrac .den{display:block;line-height:1em;margin:0 0.1em}.mw-parser-output .sfrac .den{border-top:1px solid}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}1/2, 4/5, 1/3, 5/6, 1/4, 6/7, accumulate to 0 (while others accumulate to 1). When he's on, it's really impressive, the sound his ball makes when it comes off his irons it's a short, compact move. Web$\begingroup$ "Weakly compact" means "compact in the weak topology". the compact body of a lightweight wrestler. to form or make by close union or conjunction; make up or compose. Hear a word and type it out. "International Standard Bible Encyclopedia". B. These examples are from corpora and from sources on the web. 185. ): Let X be a topological space and C(X) the ring of real continuous functions on X. To save this word, you'll need to log in. Other definition of compact is neatly fitted into a restricted space. The NLC is an agreement among member states to honor nurse licensure of other member states for registered and practical/vocational nurses. compacto, polvera, compacto/ta [masculine-feminine], compacto, compacto/-ta [masculine-feminine], hereyi barndran, derli toplu, kullanl, cht nch, hp phn sp b ti, s tha thun, niewielki, niewielkich rozmiarw, kompresowa, Test your vocabulary with our fun image quizzes, Clear explanations of natural written and spoken English. Formally, a topological space X is called compact if every open cover of X has a finite subcover. John Kerry Just Visited. The word in the example sentence does not match the entry word. Touch the images you want to keep, then hit the Share button and choose Save Image (iPhone/iPad) or Command-click images and videos in My Photo Compactness does not imply triviality Add compact to one of your lists below, or create a new one. This fact is usually referred to as the HeineBorel theorem. Scientific American is part of Springer Nature, which owns or has commercial relations with thousands of scientific publications (many of them can be found at, That Time Marie Curie Was Just Trying to Get the Electricity Running, One Weird Trick to Make Calculus More Beautiful, When Rational Points Are Few and Far Between. Learn a new word every day. The term compact is most often applied to agreements among states or between nations on matters in which they have a common Create your free account or Sign in to continue. WebThe world's largest. But I think smallness is a valuable way to see compactness. It was Maurice Frchet who, in 1906, had distilled the essence of the BolzanoWeierstrass property and coined the term compactness to refer to this general phenomenon (he used the term already in his 1904 paper[6] which led to the famous 1906 thesis). having a consistency that does not easily yield to pressure, having little space between items or parts, marked by the use of few words to convey much information or meaning, a formal agreement between two or more nations or peoples, to bring (something) to a central point or under a single control, to reduce in size or volume by or as if by pressing parts or members together, Palter, Dissemble, and Other Words for Lying, Skunk, Bayou, and Other Words with Native American Origins, Words For Things You Didn't Know Have Names, Vol. Their authors would do well to read this book.Witold Rybczynski, Slate. compact). Richard Bentley. 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