SINGULAR is a
computer algebra system for
polynomial computations with special emphasis on the needs of
commutative algebra,
algebraic geometry, and
singularity theory. SINGULAR is a
free software under the
GNU General Public Licence. Problems in non-commutative algebra can be tackled with the SINGULAR offspring PLURAL. SINGULAR was designed by Gert-Martin Greuel, Gerhard Pfister and Hans Schönemann.
External links
Singular may refer to:
In
mathematics:
- Mathematical singularity
- A singular matrix is one that is not invertible
- A singular measure is a measure or probability distribution whose support has zero Lebesgue measure. More generally, one may speak of an object "singular with respect to a measure μ", meaning that μ replaces the Lebesgue measure above
- An infinite cardinal number is called singular if it is not a regular cardinal
Possible misspelling:
- Singulair, Merck trademark for Montelukast, a common prescription drug used in maintenance treatment of asthma and to relieve symptoms of seasonal allergies.
See also
For other uses, see singular (disambiguation).
SINGULAR is a computer algebra system for polynomial computations with special emphasis on the needs of commutative algebra, algebraic geometry, and singularity theory.
..... Click the link for more information. A computer algebra system (CAS) is a software program that facilitates symbolic mathematics. The core functionality of a CAS is manipulation of mathematical expressions in symbolic form.
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In mathematics, a polynomial is an expression that is constructed from one or more variables and constants, using only the operations of addition, subtraction, multiplication, and constant positive whole number exponents. is a polynomial.
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commutative algebra studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings, rings of algebraic integers, including the
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Algebraic geometry is a branch of mathematics which, as the name suggests, combines techniques of abstract algebra, especially commutative algebra, with the language and the problematics of geometry.
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singularity theory is the study of the failure of manifold structure. A loop of string can serve as an example of a one-dimensional manifold, if one neglects its width. What is meant by a singularity can be seen by dropping it on the floor.
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Free software is software that can be used, studied, and modified without restriction, and which can be copied and redistributed in modified or unmodified form either without restriction, or with restrictions only to ensure that further recipients can also do these things.
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GNU General Public License
Author: Free Software Foundation
Version: 3
Copyright on the license: Free Software Foundation, Inc.
Publication date: 29 June 2007
OSI approved: Yes
Debian approved: Yes
Free Software:
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grammatical number is grammatical category of nouns, pronouns, and verb agreement that expresses count distinctions (such as "one" or "more than one").[1]
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A gravitational singularity (sometimes spacetime singularity) is, approximately, a place where quantities which are used to measure the gravitational field become infinite. Such quantities include the curvature of spacetime or the density of matter.
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technological singularity is the hypothesized creation, usually via AI or brain-computer interfaces, of smarter-than-human entities who rapidly accelerate technological progress beyond the capability of human beings to participate meaningfully in said progress.
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A mobile network operator (MNO), also known as wireless service provider, wireless carrier, mobile phone operator, or cellular company, is a telephone company that provides services for mobile phone subscribers.
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North America is a continent
[1] in the Earth's northern hemisphere and (chiefly) western hemisphere. It is bordered on the north by the Arctic Ocean, on the east by the North Atlantic Ocean, on the southeast by the Caribbean Sea, and on the south and west
..... Click the link for more information. S. scrofa
Binomial name
Sus scrofa
Linnaeus, 1758
The wild boar (Sus scrofa) is the wild ancestor of the domestic pig.
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Mathematics (colloquially, maths or math) is the body of knowledge centered on such concepts as quantity, structure, space, and change, and also the academic discipline that studies them. Benjamin Peirce called it "the science that draws necessary conclusions".
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In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point of an exceptional set where it fails to be well-behaved in some particular way, such as differentiability.
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matrix (plural matrices) is a rectangular table of elements (or entries), which may be numbers or, more generally, any abstract quantities that can be added and multiplied.
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invertible or
non-singular if there exists an
n-by-
n matrix such that
where denotes the
n-by-
n identity matrix and the multiplication used is ordinary matrix multiplication.
..... Click the link for more information. singular if there exist two disjoint sets A and B in Σ whose union is Ω such that μ is zero on all measurable subsets of B while ν is zero on all measurable subsets of A.
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In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. So, crudely speaking, a regular cardinal is one which cannot be broken into a smaller collection of smaller parts.
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Montelukast is a leukotriene receptor antagonist (LTRA) used for the maintenance treatment of asthma and to relieve symptoms of seasonal allergies. It is usually administered orally.
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Singularity may refer to:
In
mathematics:
- Essential singularity, a singularity near which a function exhibits extreme behavior
- Isolated singularity, a mathematical singularity that has no other singularities close to it
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