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SINGULAR Computer Algebra System
Singular may refer to: * Singular, the grammatical number that denotes a unit quantity, as opposed to the plural and other forms * Singular or sounder, a group of boar, see List of animal names * Singular (band), a Thai jazz pop duo *'' Singular: Act I'', a 2018 studio album by Sabrina Carpenter *'' Singular: Act II'', a 2019 studio album by Sabrina Carpenter Mathematics * Singular homology * SINGULAR, an open source Computer Algebra System (CAS) * Singular matrix, a matrix that is not invertible * Singular measure, a measure or probability distribution whose support has zero Lebesgue (or other) measure * Singular cardinal, an infinite cardinal number that is not a regular cardinal * Singular point of a curve, in geometry See also * Singularity (other) * Singulair Montelukast, sold under the brand name Singulair among others, is a medication used in the maintenance treatment of asthma. It is generally less preferred for this use than inhaled corticosteroids. It is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Grammatical Number
In linguistics, grammatical number is a Feature (linguistics), feature of nouns, pronouns, adjectives and verb agreement (linguistics), agreement that expresses count distinctions (such as "one", "two" or "three or more"). English and many other languages present number categories of singular or plural. Some languages also have a Dual (grammatical number), dual, #Trial, trial and #Paucal, paucal number or other arrangements. The word "number" is also used in linguistics to describe the distinction between certain grammatical aspects that indicate the number of times an event occurs, such as the semelfactive aspect, the iterative aspect, etc. For that use of the term, see "Grammatical aspect". Overview Most languages of the world have formal means to express differences of number. One widespread distinction, found in English and many other languages, involves a simple two-way contrast between singular and plural number (''car''/''cars'', ''child''/''children'', etc.). Discussion ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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List Of Animal Names
In the English language, many animals have different names depending on whether they are male, female, young, domesticated, or in groups. The best-known source of many English words used for collective groupings of animals is ''Book of St. Albans, The Book of Saint Albans'', an essay on hunting published in 1486 and attributed to Juliana Berners. Most terms used here may be found in common dictionaries and general information web sites. Generic terms The terms in this table apply to many or all taxon, taxa in a particular biological Family (biology), family, Class (biology), class, or clade. Terms by species or taxon Usage of collective nouns ''Merriam-Webster'' writes that most terms of venery fell out of use in the 16th century, including a "murder" for crows. It goes on to say that some of the terms in ''The Book of Saint Albans'' were "rather fanciful", explaining that the book extended collective nouns to people of specific professions, such as a "poverty" of pipe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Singular (band)
Singular is a band from Thailand Thailand, officially the Kingdom of Thailand and historically known as Siam (the official name until 1939), is a country in Southeast Asia on the Mainland Southeast Asia, Indochinese Peninsula. With a population of almost 66 million, it spa .... The group includes "Sin" (born on 1 October 1985), a singer-songwriter who has performed with the Bangkok Opera, and "Nut" (born on 12 August 1986), the band's guitarist who won a gold medal at the national guitar awards). Their musical character is likened to the Metro-Acoustic style. History In May 2010, Singular released its first ever single "24.7 (Twenty-Four Seven)", which reached number one on top radio charts all over Thailand. The music video for "24.7" also reached 590,000 views after three months on YouTube. Singular's second single "Bao Bao (Tender)" catapulted the band to greater heights with over four million views on [YouTube. Within two weeks of its release, "Bao Bao" also re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Act I
Act One most often refers to the first act of a play, opera, or other dramatic performance. Act One, Act I, ACTI and similar may also refer to: Theatre, film and books * ''Act One'' (book), a 1959 memoir by Moss Hart ** ''Act One'' (film), a 1963 film version of the memoir ** ''Act One'' (play), a 2014 theatrical adaptation of the memoir by James Lapine * Act One, Inc., an organization for aspiring filmmakers Music * "Act I: Eternal Sunshine (The Pledge)", a 2007 composition by Jay Electronica * Act I and II, a 1993 concert tour by Prince * ''Act One'' (album), a 1970 album by Beggars Opera * ''Act One'', an album by Marian Hill * ''Act One'', a 2006 EP by I Hate Kate * ''Act I'' (Seldom Scene album), a 1972 album by the Seldom Scene * '' Act I: Live in Rosario'', a 2012 live album by Tarja Turunen * '' Act I: The Lake South, the River North'' a 2006 album by the Dear Hunter * '' Act I: Renaissance'', or simply ''Renaissance'', a 2022 album by Beyoncé * ''Act 1 (The Pi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Act II
Act II or Act Two or Act 2 may refer to: Brands * Act II (popcorn), a brand of popcorn in North America Music * ''Act II: Cowboy Carter'', 2024 album by Beyoncé * ''Act Two'' (Collabro album), 2014 * ''Act Two'' (The Seldom Scene album), 1973 * ''Act II'' (Tokio album), 2005 * '' Act II: The Father of Death'', an album by The Protomen, 2009 * '' Act II: The Meaning of, and All Things Regarding Ms. Leading'', an album by The Dear Hunter, 2007 * '' Act 2: The Blood and the Life Eternal'', an album by Neverending White Lights, 2006 * "Act II", 1993 concert tour by Prince; see Act I and II * '' Act II: The Patents of Nobility (The Turn)'', an album by Jay Electronica, 2020 * ''Act 2 (Their God)'', an album by Tapir!, 2023 See also * Act Too Group, Sussex UK theatre troupe * Act (drama) An act is a major division of a theatrical work, including a play, film, opera, ballet, or musical theatre, consisting of one or more scenes. The term can either refer to a conscious divi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Singular Homology
In algebraic topology, singular homology refers to the study of a certain set of algebraic invariants of a topological space X, the so-called homology groups H_n(X). Intuitively, singular homology counts, for each dimension n, the n-dimensional holes of a space. Singular homology is a particular example of a homology theory, which has now grown to be a rather broad collection of theories. Of the various theories, it is perhaps one of the simpler ones to understand, being built on fairly concrete constructions (see also the related theory simplicial homology). In brief, singular homology is constructed by taking maps of the simplex, standard -simplex to a topological space, and composing them into Free abelian group#Integer functions and formal sums, formal sums, called singular chains. The boundary operation – mapping each n-dimensional simplex to its (n-1)-dimensional boundary operator, boundary – induces the singular chain complex. The singular homology is then ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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SINGULAR
Singular may refer to: * Singular, the grammatical number that denotes a unit quantity, as opposed to the plural and other forms * Singular or sounder, a group of boar, see List of animal names * Singular (band), a Thai jazz pop duo *'' Singular: Act I'', a 2018 studio album by Sabrina Carpenter *'' Singular: Act II'', a 2019 studio album by Sabrina Carpenter Mathematics * Singular homology * SINGULAR, an open source Computer Algebra System (CAS) * Singular matrix, a matrix that is not invertible * Singular measure, a measure or probability distribution whose support has zero Lebesgue (or other) measure * Singular cardinal, an infinite cardinal number In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set. In the case of a finite set, its cardinal number, or cardinality is therefore a natural number. For dealing with the cas ... that is not a regular cardinal * Singular point of a curve, in geometry Se ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Singular Matrix
A singular matrix is a square matrix that is not invertible, unlike non-singular matrix which is invertible. Equivalently, an n-by-n matrix A is singular if and only if determinant, det(A)=0. In classical linear algebra, a matrix is called ''non-singular'' (or invertible) when it has an inverse; by definition, a matrix that fails this criterion is singular. In more algebraic terms, an n-by-n matrix A is singular exactly when its columns (and rows) are linearly dependent, so that the linear map x\rightarrow Ax is not one-to-one. In this case the kernel ( null space) of A is non-trivial (has dimension ≥1), and the homogeneous system Ax = 0 admits non-zero solutions. These characterizations follow from standard rank-nullity and invertibility theorems: for a square matrix A, det(A) \neq 0 if and only if rank(A)= n, and det(A) = 0 if and only if rank(A)3 then it is a singular matrix. * Numerical noise/ Round off: In numerical computations, a matrix may be nearly singular when its ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Singular Measure
In mathematics, two positive (or signed or complex) measures \mu and \nu defined on a measurable space (\Omega, \Sigma) are called singular if there exist two disjoint measurable sets A, B \in \Sigma whose union is \Omega such that \mu is zero on all measurable subsets of B while \nu is zero on all measurable subsets of A. This is denoted by \mu \perp \nu. A refined form of Lebesgue's decomposition theorem decomposes a singular measure into a singular continuous measure and a discrete measure. See below for examples. Examples on R''n'' As a particular case, a measure defined on the Euclidean space \R^n is called ''singular'', if it is singular with respect to the Lebesgue measure on this space. For example, the Dirac delta function is a singular measure. Example. A discrete measure. The Heaviside step function on the real line, H(x) \ \stackrel \begin 0, & x 0 but \delta_0(U) = 0. Example. A singular continuous measure. The Cantor distribution has a cumulative dist ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Cardinal Number
In mathematics, a cardinal number, or cardinal for short, is what is commonly called the number of elements of a set. In the case of a finite set, its cardinal number, or cardinality is therefore a natural number. For dealing with the case of infinite sets, the infinite cardinal numbers have been introduced, which are often denoted with the Hebrew letter \aleph (aleph) marked with subscript indicating their rank among the infinite cardinals. Cardinality is defined in terms of bijective functions. Two sets have the same cardinality if, and only if, there is a one-to-one correspondence (bijection) between the elements of the two sets. In the case of finite sets, this agrees with the intuitive notion of number of elements. In the case of infinite sets, the behavior is more complex. A fundamental theorem due to Georg Cantor shows that it is possible for two infinite sets to have different cardinalities, and in particular the cardinality of the set of real numbers is gre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Singular Point Of A Curve
In geometry, a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter. The precise definition of a singular point depends on the type of curve being studied. Algebraic curves in the plane Algebraic curves in the plane may be defined as the set of points satisfying an equation of the form f(x,y) = 0, where is a polynomial function If is expanded as f = a_0 + b_0 x + b_1 y + c_0 x^2 + 2c_1 xy + c_2 y^2 + \cdots If the origin is on the curve then . If then the implicit function theorem guarantees there is a smooth function so that the curve has the form near the origin. Similarly, if then there is a smooth function so that the curve has the form near the origin. In either case, there is a smooth map from to the plane which defines the curve in the neighborhood of the origin. Note that at the origin b_0 = \frac, \; b_1 = \frac, so the curve is non-singular or ''regular'' at the origin if at least one of the partial derivatives o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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Singularity (other)
Singularity or singular point may refer to: Science, technology, and mathematics Mathematics * Mathematical singularity, a point at which a given mathematical object is not defined or not "well-behaved", for example infinite or not differentiable Geometry * Singular point of a curve, where the curve is not given by a smooth embedding of a parameter * Singular point of an algebraic variety, a point where an algebraic variety is not locally flat * Rational singularity Natural sciences * Singularity (system theory), in dynamical and social systems, a context in which a small change can cause a large effect * Gravitational singularity, in general relativity, a point in which gravity is so intense that spacetime itself becomes ill-defined ** Initial singularity, a hypothesized singularity of infinite density before quantum fluctuations caused the Big Bang and subsequent inflation that created the Universe * Penrose–Hawking singularity theorems, in general relativity theory, th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |