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https://en.wikipedia.org/wiki/Hurwitz%20zeta%20function | In mathematics, the Hurwitz zeta function is one of the many zeta functions. It is formally defined for complex variables with and by
This series is absolutely convergent for the given values of and and can be extended to a meromorphic function defined for all . The Riemann zeta function is . The Hurwitz zeta fun... |
https://en.wikipedia.org/wiki/Eta%20function | In mathematics, eta function may refer to:
The Dirichlet eta function η(s), a Dirichlet series
The Dedekind eta function η(τ), a modular form
The Weierstrass eta function η(w) of a lattice vector
The eta function η(s) used to define the eta invariant |
https://en.wikipedia.org/wiki/Functor%20category | In category theory, a branch of mathematics, a functor category is a category where the objects are the functors and the morphisms are natural transformations between the functors (here, is another object in the category). Functor categories are of interest for two main reasons:
many commonly occurring categories... |
https://en.wikipedia.org/wiki/Morera%27s%20theorem | In complex analysis, a branch of mathematics, Morera's theorem, named after Giacinto Morera, gives an important criterion for proving that a function is holomorphic.
Morera's theorem states that a continuous, complex-valued function f defined on an open set D in the complex plane that satisfies
for every closed piec... |
https://en.wikipedia.org/wiki/Divisor%20function | In mathematics, and specifically in number theory, a divisor function is an arithmetic function related to the divisors of an integer. When referred to as the divisor function, it counts the number of divisors of an integer (including 1 and the number itself). It appears in a number of remarkable identities, including ... |
https://en.wikipedia.org/wiki/91%20%28number%29 | 91 (ninety-one) is the natural number following 90 and preceding 92.
In mathematics
91 is:
the twenty-seventh distinct semiprime and the second of the form (7.q), where q is a higher prime.
the aliquot sum of 91 is 21 33; itself a semiprime, within an aliquot sequence of two composite numbers (91,21,11, 1,0) to th... |
https://en.wikipedia.org/wiki/92%20%28number%29 | 92 (ninety-two) is the natural number following 91 and preceding 93.
In mathematics
92 is a composite number; a square-prime, of the general form (p2, q) where q is a higher prime. It is the tenth of this form and the eighth of the form (22.q).
92 is the eighth pentagonal number, and an Erdős–Woods number, since it ... |
https://en.wikipedia.org/wiki/93%20%28number%29 | 93 (ninety-three) is the natural number following 92 and preceding 94.
In mathematics
93 is:
the 28th distinct semiprime and the 9th of the form (3.q) where q is a higher prime.
the first number in the 3rd triplet of consecutive semiprimes, 93, 94, 95.
with an aliquot sum of 35; itself a semiprime, within an aliqu... |
https://en.wikipedia.org/wiki/94%20%28number%29 | 94 (ninety-four) is the natural number following 93 and preceding 95.
In mathematics
94 is:
the twenty-ninth distinct semiprime and the fourteenth of the form (2.q).
the ninth composite number in the 43-aliquot tree. The aliquot sum of 94 is 50 within the aliquot sequence; (94,50,43,1,0).
the second number in the thi... |
https://en.wikipedia.org/wiki/95%20%28number%29 | 95 (ninety-five) is the natural number following 94 and preceding 96.
In mathematics
95 is:
the 30th distinct semiprime and the fifth of the form (5.q).
the third composite number in the 6-aliquot tree. The aliquot sum of 95 is 25, within the aliquot sequence (95,25,6).
the last member in the third triplet of dist... |
https://en.wikipedia.org/wiki/96%20%28number%29 | 96 (ninety-six) is the natural number following 95 and preceding 97. It is a number that appears the same when turned upside down.
In mathematics
96 is:
an octagonal number.
a refactorable number.
an untouchable number.
a semiperfect number since it is a multiple of 6.
an abundant number since the sum of its pr... |
https://en.wikipedia.org/wiki/97%20%28number%29 | 97 (ninety-seven) is the natural number following 96 and preceding 98. It is a prime number and the only prime in the nineties.
In mathematics
97 is:
the 25th prime number (the largest two-digit prime number in base 10), following 89 and preceding 101.
a Proth prime and a Pierpont prime as it is 3 × 25 + 1.
the ele... |
https://en.wikipedia.org/wiki/98%20%28number%29 | 98 (ninety-eight) is the natural number following 97 and preceding 99.
In mathematics
98 is:
Wedderburn–Etherington number
nontotient
number of non-isomorphic set-systems of weight 7
In astronomy
98 Ianthe, a main-belt asteroid
Messier 98, a magnitude 11.0 spiral galaxy in the constellation Coma Berenices.
The... |
https://en.wikipedia.org/wiki/102%20%28number%29 | 102 (one hundred [and] two) is the natural number following 101 and preceding 103.
In mathematics
102 is an abundant number and a semiperfect number. It is a sphenic number.
The sum of Euler's totient function φ(x) over the first eighteen integers is 102.
102 is the first three-digit base 10 polydivisible number, si... |
https://en.wikipedia.org/wiki/103%20%28number%29 | 103 (one hundred [and] three) is the natural number following 102 and preceding 104.
In mathematics
103 is a prime number, the largest prime factor of . The previous prime is 101, making them both twin primes. It is the fifth irregular prime, because it divides the numerator of the Bernoulli number
The equation ma... |
https://en.wikipedia.org/wiki/104%20%28number%29 | 104 (one hundred [and] four) is the natural number following 103 and preceding 105.
In mathematics
104 forms the fifth Ruth-Aaron pair with 105, since the distinct prime factors of 104 (2 and 13) and 105 (3, 5, and 7) both add up to 15. Also, the sum of the divisors of 104 aside from unitary divisors, is 105. With e... |
https://en.wikipedia.org/wiki/105%20%28number%29 | 105 (one hundred [and] five) is the natural number following 104 and preceding 106.
In mathematics
105 is a triangular number, a dodecagonal number, and the first Zeisel number. It is the first odd sphenic number and is the product of three consecutive prime numbers. 105 is the double factorial of 7. It is also the su... |
https://en.wikipedia.org/wiki/106%20%28number%29 | 106 (one hundred [and] six) is the natural number following 105 and preceding 107.
In mathematics
106 is a centered pentagonal number, a centered heptagonal number, and a regular 19-gonal number.
There are 106 mathematical trees with ten vertices.
See also
106 (disambiguation)
References
Integers |
https://en.wikipedia.org/wiki/107%20%28number%29 | 107 (one hundred [and] seven) is the natural number following 106 and preceding 108.
In mathematics
107 is the 28th prime number. The next prime is 109, with which it comprises a twin prime, making 107 a Chen prime.
Plugged into the expression , 107 yields 162259276829213363391578010288127, a Mersenne prime. 107 is i... |
https://en.wikipedia.org/wiki/108%20%28number%29 | 108 (one hundred [and] eight) is the natural number following 107 and preceding 109.
In mathematics
108 is:
an abundant number.
a semiperfect number.
a tetranacci number.
the hyperfactorial of 3 since it is of the form .
divisible by the value of its φ function, which is 36.
divisible by the total number of its divi... |
https://en.wikipedia.org/wiki/109%20%28number%29 | 109 (one hundred [and] nine) is the natural number following 108 and preceding 110.
In mathematics
109 is the 29th prime number. As 29 is itself prime, 109 is the tenth super-prime. The previous prime is 107, making them both twin primes.
109 is a centered triangular number.
There are exactly:
109 different famili... |
https://en.wikipedia.org/wiki/110%20%28number%29 | 110 (one hundred [and] ten) is the natural number following 109 and preceding 111.
In mathematics
110 is a sphenic number and a pronic number. Following the prime quadruplet (101, 103, 107, 109), at 110, the Mertens function reaches a low of −5.
110 is the sum of three consecutive squares, .
RSA-110 is one of the RS... |
https://en.wikipedia.org/wiki/112%20%28number%29 | 112 (one hundred [and] twelve) is the natural number following 111 and preceding 113.
Mathematics
112 is an abundant number, a heptagonal number, and a Harshad number.
112 is the number of connected graphs on 6 unlabeled nodes.
If an equilateral triangle has sides of length 112, then it contains an interior point at... |
https://en.wikipedia.org/wiki/113%20%28number%29 | 113 (one hundred [and] thirteen) is the natural number following 112 and preceding 114.
Mathematics
113 is the 30th prime number (following 109 and preceding 127), so it can only be divided by one and itself. 113 is a Sophie Germain prime, an emirp, an isolated prime, a Chen prime and a Proth prime as it is a prime n... |
https://en.wikipedia.org/wiki/114%20%28number%29 | 114 (one hundred [and] fourteen) is the natural number following 113 and preceding 115.
In mathematics
114 is an abundant number, a sphenic number and a Harshad number. It is the sum of the first four hyperfactorials, including H(0). At 114, the Mertens function sets a new low of -6, a record that stands until 197.
11... |
https://en.wikipedia.org/wiki/100 | 100 or one hundred (Roman numeral: C) is the natural number following 99 and preceding 101.
In mathematics
100 is the square of 10 (in scientific notation it is written as 102). The standard SI prefix for a hundred is "hecto-".
100 is the basis of percentages (per cent meaning "per hundred" in Latin), with 100% bein... |
https://en.wikipedia.org/wiki/1001%20%28number%29 | 1001 is the natural number following 1000 and followed by 1002.
In mathematics
One thousand and one is a sphenic number, a pentagonal number, a pentatope number and the first four-digit palindromic number. Scheherazade numbers always have 1001 as a factor.
Divisibility by 7, 11 and 13
Two properties of 1001 are the ... |
https://en.wikipedia.org/wiki/Witch%20of%20Agnesi | In mathematics, the witch of Agnesi () is a cubic plane curve defined from two diametrically opposite points of a circle. It gets its name from Italian mathematician Maria Gaetana Agnesi, and from a mistranslation of an Italian word for a sailing sheet. Before Agnesi, the same curve was studied by Fermat, Grandi, and N... |
https://en.wikipedia.org/wiki/List%20of%20probability%20topics | This is a list of probability topics.
It overlaps with the (alphabetical) list of statistical topics. There are also the outline of probability and catalog of articles in probability theory. For distributions, see List of probability distributions. For journals, see list of probability journals. For contributors to the... |
https://en.wikipedia.org/wiki/Mahler%27s%20theorem | In mathematics, Mahler's theorem, introduced by , expresses any continuous p-adic function as an infinite series of certain special polynomials. It is the p-adic counterpart to the Stone-Weierstrass theorem for continuous real-valued functions on a closed interval.
Statement
Let be the forward difference operator. T... |
https://en.wikipedia.org/wiki/Cauchy%20principal%20value | In mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined. In this method, a singularity on an integral interval is avoided by limiting the integral interval to the singularity (so the singularity is n... |
https://en.wikipedia.org/wiki/Principal%20value | In mathematics, specifically complex analysis, the principal values of a multivalued function are the values along one chosen branch of that function, so that it is single-valued. A simple case arises in taking the square root of a positive real number. For example, 4 has two square roots: 2 and −2; of these the positi... |
https://en.wikipedia.org/wiki/Taxicab%20geometry | A taxicab geometry or a Manhattan geometry is a geometry whose usual distance function or metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates. The taxicab metric is also known as rectilinear distance, L1 ... |
https://en.wikipedia.org/wiki/Trig%20%28disambiguation%29 | Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Trig also may refer to:
Trig functions
TriG (syntax), a format for storing and transmitting Resource Description Framework (RDF) data
Trig points, also known as triangulation stations
Trig Paxson Van Pa... |
https://en.wikipedia.org/wiki/Kissing%20number | In geometry, the kissing number of a mathematical space is defined as the greatest number of non-overlapping unit spheres that can be arranged in that space such that they each touch a common unit sphere. For a given sphere packing (arrangement of spheres) in a given space, a kissing number can also be defined for eac... |
https://en.wikipedia.org/wiki/Primorial%20prime | In mathematics, a primorial prime is a prime number of the form pn# ± 1, where pn# is the primorial of pn (i.e. the product of the first n primes).
Primality tests show that
pn# − 1 is prime for n = 2, 3, 5, 6, 13, 24, ...
pn# + 1 is prime for n = 0, 1, 2, 3, 4, 5, 11, ...
The first term of the second sequence i... |
https://en.wikipedia.org/wiki/Statistics%20Netherlands | Statistics Netherlands, founded in 1899, is a Dutch governmental institution that gathers statistical information about the Netherlands. In Dutch it is known as the Centraal Bureau voor de Statistiek (Central Agency for Statistics), often abbreviated to CBS. It is located in The Hague and Heerlen. Since 3 January 2004,... |
https://en.wikipedia.org/wiki/Rotation%20%28mathematics%29 | Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point. Rotation can have a sign (as in the sign of an angle): a clockwise rotation is a negative magnitude ... |
https://en.wikipedia.org/wiki/119%20%28number%29 | 119 (one hundred [and] nineteen) is the natural number following 118 and preceding 120.
Mathematics
119 is a Perrin number, preceded in the sequence by 51, 68, 90 (it is the sum of the first two mentioned).
119 is the sum of five consecutive primes (17 + 19 + 23 + 29 + 31).
119 is the sum of seven consecutive prim... |
https://en.wikipedia.org/wiki/Leibniz%27s%20notation | In calculus, Leibniz's notation, named in honor of the 17th-century German philosopher and mathematician Gottfried Wilhelm Leibniz, uses the symbols and to represent infinitely small (or infinitesimal) increments of and , respectively, just as and represent finite increments of and , respectively.
Consider as a... |
https://en.wikipedia.org/wiki/Geometric%20standard%20deviation | In probability theory and statistics, the geometric standard deviation (GSD) describes how spread out are a set of numbers whose preferred average is the geometric mean. For such data, it may be preferred to the more usual standard deviation. Note that unlike the usual arithmetic standard deviation, the geometric stan... |
https://en.wikipedia.org/wiki/Charts%20on%20SO%283%29 | In mathematics, the special orthogonal group in three dimensions, otherwise known as the rotation group SO(3), is a naturally occurring example of a manifold. The various charts on SO(3) set up rival coordinate systems: in this case there cannot be said to be a preferred set of parameters describing a rotation. There a... |
https://en.wikipedia.org/wiki/Spin%20group | In mathematics the spin group Spin(n) is a Lie group whose underlying manifold is the double cover of the special orthogonal group , such that there exists a short exact sequence of Lie groups (when )
The group multiplication law on the double cover is given by lifting the multiplication on .
As a Lie group, Spin(n) ... |
https://en.wikipedia.org/wiki/Real%20projective%20plane | In mathematics, the real projective plane is an example of a compact non-orientable two-dimensional manifold; in other words, a one-sided surface. It cannot be embedded in standard three-dimensional space without intersecting itself. It has basic applications to geometry, since the common construction of the real proj... |
https://en.wikipedia.org/wiki/Random%20Fibonacci%20sequence | In mathematics, the random Fibonacci sequence is a stochastic analogue of the Fibonacci sequence defined by the recurrence relation , where the signs + or − are chosen at random with equal probability , independently for different . By a theorem of Harry Kesten and Hillel Furstenberg, random recurrent sequences of this... |
https://en.wikipedia.org/wiki/Abelian%20and%20Tauberian%20theorems | In mathematics, Abelian and Tauberian theorems are theorems giving conditions for two methods of summing divergent series to give the same result, named after Niels Henrik Abel and Alfred Tauber. The original examples are Abel's theorem showing that if a series converges to some limit then its Abel sum is the same limi... |
https://en.wikipedia.org/wiki/Symmetry%20of%20second%20derivatives | In mathematics, the symmetry of second derivatives (also called the equality of mixed partials) refers to the possibility of interchanging the order of taking partial derivatives of a function
of variables without changing the result under certain conditions (see below). The symmetry is the assertion that the second-... |
https://en.wikipedia.org/wiki/Hessian%20matrix | In mathematics, the Hessian matrix, Hessian or (less commonly) Hesse matrix is a square matrix of second-order partial derivatives of a scalar-valued function, or scalar field. It describes the local curvature of a function of many variables. The Hessian matrix was developed in the 19th century by the German mathematic... |
https://en.wikipedia.org/wiki/Cartan%20connection | In the mathematical field of differential geometry, a Cartan connection is a flexible generalization of the notion of an affine connection. It may also be regarded as a specialization of the general concept of a principal connection, in which the geometry of the principal bundle is tied to the geometry of the base mani... |
https://en.wikipedia.org/wiki/Henstock%E2%80%93Kurzweil%20integral | In mathematics, the Henstock–Kurzweil integral or generalized Riemann integral or gauge integral – also known as the (narrow) Denjoy integral (pronounced ), Luzin integral or Perron integral, but not to be confused with the more general wide Denjoy integral – is one of a number of inequivalent definitions of the integr... |
https://en.wikipedia.org/wiki/Glide%20reflection | In 2-dimensional geometry, a glide reflection (or transflection) is a symmetry operation that consists of a reflection over a line and then translation along that line, combined into a single operation. The intermediate step between reflection and translation can look different from the starting configuration, so objec... |
https://en.wikipedia.org/wiki/Pincherle%20derivative | In mathematics, the Pincherle derivative of a linear operator on the vector space of polynomials in the variable x over a field is the commutator of with the multiplication by x in the algebra of endomorphisms . That is, is another linear operator
(for the origin of the notation, see the article on the adjoint ... |
https://en.wikipedia.org/wiki/Convex | Convex or convexity may refer to:
Science and technology
Convex lens, in optics
Mathematics
Convex set, containing the whole line segment that joins points
Convex polygon, a polygon which encloses a convex set of points
Convex polytope, a polytope with a convex set of points
Convex metric space, a generalization... |
https://en.wikipedia.org/wiki/Statistical%20parameter | In statistics, as opposed to its general use in mathematics, a parameter is any measured quantity of a statistical population that summarizes or describes an aspect of the population, such as a mean or a standard deviation. If a population exactly follows a known and defined distribution, for example the normal distrib... |
https://en.wikipedia.org/wiki/Moment | Moment or Moments may refer to:
Science
Moment (mathematics), a concept in probability theory and statistics
Moment (physics), a combination of a physical quantity and a distance
Moment of force, torque
Time
Present time
An instant
Moment (unit), a medieval unit of time
Technology
Moment space surveillance co... |
https://en.wikipedia.org/wiki/Syzygy | Syzygy (from Greek Συζυγία "conjunction, yoked together") may refer to:
Science
Syzygy (astronomy), a collinear configuration of three celestial bodies
Syzygy (mathematics), linear relation between generators of a module
Syzygy, in biology, the pairing of chromosomes during meiosis
Syzygy endgame tablebases, used... |
https://en.wikipedia.org/wiki/Set%20theory%20%28music%29 | Musical set theory provides concepts for categorizing musical objects and describing their relationships. Howard Hanson first elaborated many of the concepts for analyzing tonal music. Other theorists, such as Allen Forte, further developed the theory for analyzing atonal music, drawing on the twelve-tone theory of Mil... |
https://en.wikipedia.org/wiki/Nonagon | In geometry, a nonagon () or enneagon () is a nine-sided polygon or 9-gon.
The name nonagon is a prefix hybrid formation, from Latin (nonus, "ninth" + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century. The name enneagon comes from Greek enneagonon (... |
https://en.wikipedia.org/wiki/Rewriting | In mathematics, computer science, and logic, rewriting covers a wide range of methods of replacing subterms of a formula with other terms. Such methods may be achieved by rewriting systems (also known as rewrite systems, rewrite engines, or reduction systems). In their most basic form, they consist of a set of objects,... |
https://en.wikipedia.org/wiki/Frank%20J.%20Tipler | Frank Jennings Tipler (born February 1, 1947) is an American mathematical physicist and cosmologist, holding a joint appointment in the Departments of Mathematics and Physics at Tulane University. Tipler has written books and papers on the Omega Point based on Pierre Teilhard de Chardin's religious ideas, which he clai... |
https://en.wikipedia.org/wiki/Exploratory%20data%20analysis | In statistics, exploratory data analysis (EDA) is an approach of analyzing data sets to summarize their main characteristics, often using statistical graphics and other data visualization methods. A statistical model can be used or not, but primarily EDA is for seeing what the data can tell us beyond the formal modelin... |
https://en.wikipedia.org/wiki/Cross-validation%20%28statistics%29 | Cross-validation, sometimes called rotation estimation or out-of-sample testing, is any of various similar model validation techniques for assessing how the results of a statistical analysis will generalize to an independent data set.
Cross-validation is a resampling method that uses different portions of the data to t... |
https://en.wikipedia.org/wiki/Square%20triangular%20number | In mathematics, a square triangular number (or triangular square number) is a number which is both a triangular number and a square number. There are infinitely many square triangular numbers; the first few are:
0, 1, 36, , , , , , ,
Explicit formulas
Write for the th square triangular number, and write and for th... |
https://en.wikipedia.org/wiki/Testing%20hypotheses%20suggested%20by%20the%20data | In statistics, hypotheses suggested by a given dataset, when tested with the same dataset that suggested them, are likely to be accepted even when they are not true. This is because circular reasoning (double dipping) would be involved: something seems true in the limited data set; therefore we hypothesize that it is ... |
https://en.wikipedia.org/wiki/Cellular | Cellular may refer to:
Cellular automaton, a model in discrete mathematics
Cell biology, the evaluation of cells work and more
Cellular (film), a 2004 movie
Cellular frequencies, assigned to networks operating in cellular RF bands
Cellular manufacturing
Cellular network, cellular radio networks
U.S. Cellular Field, al... |
https://en.wikipedia.org/wiki/County%20statistics%20of%20the%20United%20States | In 45 of the 50 states of the United States, the county is used for the level of local government immediately below the state itself. Louisiana uses parishes, and Alaska uses boroughs. In Connecticut, Massachusetts, and Rhode Island, some or all counties within states have no governments of their own; the counties cont... |
https://en.wikipedia.org/wiki/Census%20division%20statistics%20of%20Canada | In some of Canada's provinces census divisions are equivalent to counties. They may also be known by different names in different provinces, or in different parts of provinces. The below table shows the largest and smallest census division in Canada and the provinces and territories by area and by population.
By area
... |
https://en.wikipedia.org/wiki/Vector%20operator | A vector operator is a differential operator used in vector calculus. Vector operators include the gradient, divergence, and curl:
Gradient is a vector operator that operates on a scalar field, producing a vector field.
Divergence is a vector operator that operates on a vector field, producing a scalar field.
Curl ... |
https://en.wikipedia.org/wiki/Heesch | Heesch can refer to:
Heesch, Netherlands, a town in the Bernheze municipality
Heinrich Heesch (1906–1995), German mathematician
Heesch's problem in mathematics
Surnames of German origin |
https://en.wikipedia.org/wiki/Survival%20analysis | Survival analysis is a branch of statistics for analyzing the expected duration of time until one event occurs, such as death in biological organisms and failure in mechanical systems. This topic is called reliability theory or reliability analysis in engineering, duration analysis or duration modelling in economics, a... |
https://en.wikipedia.org/wiki/Solenoidal%20vector%20field | In vector calculus a solenoidal vector field (also known as an incompressible vector field, a divergence-free vector field, or a transverse vector field) is a vector field v with divergence zero at all points in the field:
A common way of expressing this property is to say that the field has no sources or sinks.
Pro... |
https://en.wikipedia.org/wiki/Universality | Universality most commonly refers to:
Universality (philosophy)
Universality (dynamical systems)
Universality principle may refer to:
In statistics, universality principle, a property of systems that can be modeled by random matrices
In law, as a synonym for universal jurisdiction
In moral philosophy, the firs... |
https://en.wikipedia.org/wiki/Great%20rhombicosidodecahedron | In geometry, this name may refer to:
Truncated icosidodecahedron - An Archimedean solid, with Schläfli symbol t0,1,2{5,3}.
Nonconvex great rhombicosidodecahedron - a nonconvex uniform polyhedron, with Schläfli symbol t0,2{5/3,3}. |
https://en.wikipedia.org/wiki/Great%20rhombicuboctahedron | In geometry, this may refer to:
Truncated cuboctahedron - an Archimedean solid, with Schläfli symbol tr{4,3}, and Coxeter diagram .
Nonconvex great rhombicuboctahedron - a uniform star polyhedron, with Schläfli symbol r{4,3/2}, and Coxeter diagram . |
https://en.wikipedia.org/wiki/Calculus%20of%20communicating%20systems | The calculus of communicating systems (CCS) is a process calculus introduced by Robin Milner around 1980 and the title of a book describing the calculus. Its actions model indivisible communications between exactly two participants. The formal language includes primitives for describing parallel composition, choice bet... |
https://en.wikipedia.org/wiki/%CE%A0-calculus | In theoretical computer science, the -calculus (or pi-calculus) is a process calculus. The -calculus allows channel names to be communicated along the channels themselves, and in this way it is able to describe concurrent computations whose network configuration may change during the computation.
The -calculus has few... |
https://en.wikipedia.org/wiki/Calculus%20of%20broadcasting%20systems | Calculus of broadcasting systems (CBS) is a CCS-like calculus where processes speak one at a time and each is heard instantaneously by all others. Speech is autonomous, contention between speakers being resolved nondeterministically, but hearing only happens when someone else speaks. Observationally meaningful laws dif... |
https://en.wikipedia.org/wiki/Discrete%20optimization | Discrete optimization is a branch of optimization in applied mathematics and computer science.
Scope
As opposed to continuous optimization, some or all of the variables used in a discrete optimization problem are restricted to be discrete variables—that is, to assume only a discrete set of values, such as the integers... |
https://en.wikipedia.org/wiki/Continuous%20optimization | Continuous optimization is a branch of optimization in applied mathematics.
As opposed to discrete optimization, the variables used in the objective function are required to be continuous variables—that is, to be chosen from a set of real values between which there are no gaps (values from intervals of the real line).... |
https://en.wikipedia.org/wiki/Axioms%20%28journal%29 | Axioms is a peer-reviewed open access scientific journal that focuses on all aspects of mathematics, mathematical logic and mathematical physics. It was established in June 2012 and is published quarterly by MDPI.
In September 2021 the journal was among the initial 13 journals included in the official Norwegian list o... |
https://en.wikipedia.org/wiki/Incidence%20matrix | In mathematics, an incidence matrix is a logical matrix that shows the relationship between two classes of objects, usually called an incidence relation. If the first class is X and the second is Y, the matrix has one row for each element of X and one column for each element of Y. The entry in row x and column y is 1 i... |
https://en.wikipedia.org/wiki/2003%20Georgian%20parliamentary%20election | Parliamentary elections were held in Georgia on 2 November 2003 alongside a constitutional referendum. According to statistics released by the Georgian Election Commission, the elections were won by a combination of parties supporting President Eduard Shevardnadze.
However, the results were annulled by the Georgia Sup... |
https://en.wikipedia.org/wiki/Prenex%20normal%20form | A formula of the predicate calculus is in prenex normal form (PNF) if it is written as a string of quantifiers and bound variables, called the prefix, followed by a quantifier-free part, called the matrix. Together with the normal forms in propositional logic (e.g. disjunctive normal form or conjunctive normal form), i... |
https://en.wikipedia.org/wiki/Axiom%20of%20countable%20choice | The axiom of countable choice or axiom of denumerable choice, denoted ACω, is an axiom of set theory that states that every countable collection of non-empty sets must have a choice function. That is, given a function A with domain N (where N denotes the set of natural numbers) such that A(n) is a non-empty set for eve... |
https://en.wikipedia.org/wiki/Ratio%20test | In mathematics, the ratio test is a test (or "criterion") for the convergence of a series
where each term is a real or complex number and is nonzero when is large. The test was first published by Jean le Rond d'Alembert and is sometimes known as d'Alembert's ratio test or as the Cauchy ratio test.
The test
The us... |
https://en.wikipedia.org/wiki/Non-analytic%20smooth%20function | In mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily prove that any analytic function of a real argument is smooth. The converse is not true, as demonstrated with the counterexample below.
One of the most imp... |
https://en.wikipedia.org/wiki/130%20%28number%29 | 130 (one hundred [and] thirty) is the natural number following 129 and preceding 131.
In mathematics
130 is a sphenic number. It is a noncototient since there is no answer to the equation x - φ(x) = 130.
130 is the only integer that is the sum of the squares of its first four divisors, including 1: 12 + 22 + 52 + 102... |
https://en.wikipedia.org/wiki/140%20%28number%29 | 140 (one hundred [and] forty) is the natural number following 139 and preceding 141.
In mathematics
140 is an abundant number and a harmonic divisor number. It is the sum of the squares of the first seven integers, which makes it a square pyramidal number.
140 is an odious number because it has an odd number of ones... |
https://en.wikipedia.org/wiki/150%20%28number%29 | 150 (one hundred [and] fifty) is the natural number following 149 and preceding 151.
In mathematics
150 is the sum of eight consecutive primes (7 + 11 + 13 + 17 + 19 + 23 + 29 + 31). Given 150, the Mertens function returns 0.
150 is conjectured to be the only minimal difference greater than 1 of any increasing arithm... |
https://en.wikipedia.org/wiki/Indiana%20Academy%20for%20Science%2C%20Mathematics%2C%20and%20Humanities | The Indiana Academy for Science, Mathematics, and Humanities (The Indiana Academy) is a nationally ranked public high school located on the campus of Ball State University in Muncie, Indiana. The Academy offers both residential and non-residential (commuter) options for juniors and seniors. As of the 2022-2023 academic... |
https://en.wikipedia.org/wiki/Equivariant%20map | In mathematics, equivariance is a form of symmetry for functions from one space with symmetry to another (such as symmetric spaces). A function is said to be an equivariant map when its domain and codomain are acted on by the same symmetry group, and when the function commutes with the action of the group. That is, app... |
https://en.wikipedia.org/wiki/Primorial | In mathematics, and more particularly in number theory, primorial, denoted by "#", is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, the function only multiplies prime numbers.
The name "primorial", coined by Harvey Dubn... |
https://en.wikipedia.org/wiki/Primitive%20root | In mathematics, a primitive root may mean:
Primitive root modulo n in modular arithmetic
Primitive nth root of unity amongst the solutions of zn = 1 in a field
See also
Primitive element (disambiguation) |
https://en.wikipedia.org/wiki/Vector%20potential | In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar field whose gradient is a given vector field.
Formally, given a vector field v, a vector potential is a vector field A such that
Consequence
If a vector field v admi... |
https://en.wikipedia.org/wiki/Interval%20class | In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'" (; ), is the shortest distance in pitch class space between two unordered pitch classes. For example, the interva... |
https://en.wikipedia.org/wiki/Vitali%20set | In mathematics, a Vitali set is an elementary example of a set of real numbers that is not Lebesgue measurable, found by Giuseppe Vitali in 1905. The Vitali theorem is the existence theorem that there are such sets. There are uncountably many Vitali sets, and their existence depends on the axiom of choice. In 1970, Rob... |
https://en.wikipedia.org/wiki/Rotational%20invariance | In mathematics, a function defined on an inner product space is said to have rotational invariance if its value does not change when arbitrary rotations are applied to its argument.
Mathematics
Functions
For example, the function
is invariant under rotations of the plane around the origin, because for a rotated se... |
https://en.wikipedia.org/wiki/Einstein%20field%20equations | In the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it.
The equations were published by Albert Einstein in 1915 in the form of a tensor equation which related the local (expressed by the Einst... |
https://en.wikipedia.org/wiki/Seventh | Seventh is the ordinal form of the number seven.
Seventh may refer to:
Seventh Amendment to the United States Constitution
A fraction (mathematics), , equal to one of seven equal parts
Film and television
"The Seventh", a second-season episode of Star Trek: Enterprise
Music
A seventh (interval), the difference b... |
https://en.wikipedia.org/wiki/Palindromic%20prime | In mathematics, a palindromic prime (sometimes called a palprime) is a prime number that is also a palindromic number. Palindromicity depends on the base of the number system and its notational conventions, while primality is independent of such concerns. The first few decimal palindromic primes are:
2, 3, 5, 7, 11, 10... |
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