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https://en.wikipedia.org/wiki/Closed%20system | A closed system is a natural physical system that does not allow transfer of matter in or out of the system, althoughin the contexts of physics, chemistry, engineering, etc.the transfer of energy (e.g. as work or heat) is allowed.
Physics
In classical mechanics
In nonrelativistic classical mechanics, a closed system ... |
https://en.wikipedia.org/wiki/Monopole | Monopole may refer to:
Magnetic monopole, or Dirac monopole, a hypothetical particle that may be loosely described as a magnet with only one pole
Monopole (mathematics), a connection over a principal bundle G with a section (the Higgs field) of the associated adjoint bundle
Monopole, the first term in a multipole e... |
https://en.wikipedia.org/wiki/Ray%20Solomonoff | Ray Solomonoff (July 25, 1926 – December 7, 2009) was the inventor of algorithmic probability, his General Theory of Inductive Inference (also known as Universal Inductive Inference), and was a founder of algorithmic information theory. He was an originator of the branch of artificial intelligence based on machine lear... |
https://en.wikipedia.org/wiki/Leopold%20Gmelin | Leopold Gmelin (2 August 1788 – 13 April 1853) was a German chemist. Gmelin was a professor at the University of Heidelberg. He worked on the red prussiate and created Gmelin's test, and wrote his Handbook of Chemistry, which over successive editions became a standard reference work still in use.
Life
Gmelin was a so... |
https://en.wikipedia.org/wiki/Leonid%20Levin | Leonid Anatolievich Levin ( ; ; ; born November 2, 1948) is a Soviet-American mathematician and computer scientist.
He is known for his work in randomness in computing, algorithmic complexity and intractability, average-case complexity, foundations of mathematics and computer science, algorithmic probability, theory ... |
https://en.wikipedia.org/wiki/List%20of%20equations | This is a list of equations, by Wikipedia page under appropriate bands of their field.
Eponymous equations
The following equations are named after researchers who discovered them.
Mathematics
Cauchy–Riemann equations
Chapman–Kolmogorov equation
Maurer–Cartan equation
Pell's equation
Poisson's equation
Riccati... |
https://en.wikipedia.org/wiki/Murli%20Manohar%20Joshi | Murli Manohar Joshi (born 5 January 1934) is an Indian politician. He is a member of the Bharatiya Janata Party (BJP) of which he was the President between 1991 and 1993. Joshi is the former Member of Parliament from Kanpur Lok Sabha constituency. He is a former professor of physics in University of Allahabad. He is o... |
https://en.wikipedia.org/wiki/Petkau%20effect | The Petkau effect is an early counterexample to linear-effect assumptions usually made about radiation exposure. It was found by Dr. Abram Petkau at the Atomic Energy of Canada Whiteshell Nuclear Research Establishment, Manitoba and published in Health Physics March 1972. The Petkau effect was coined by Swiss nuclear h... |
https://en.wikipedia.org/wiki/McLaughlin%20group | McLaughlin group may refer to:
McLaughlin group (mathematics), a sporadic finite simple group
The McLaughlin Group, a weekly public affairs program broadcast in the United States |
https://en.wikipedia.org/wiki/61%20%28number%29 | 61 (sixty-one) is the natural number following 60 and preceding 62.
In mathematics
61 is the 18th prime number, and a twin prime with 59. It is the sum of two consecutive squares, It is also a centered decagonal number, a centered hexagonal number, and a centered square number.
61 is the fourth cuban prime of the fo... |
https://en.wikipedia.org/wiki/62%20%28number%29 | 62 (sixty-two) is the natural number following 61 and preceding 63.
In mathematics
62 is:
the eighteenth discrete semiprime () and tenth of the form (2.q), where q is a higher prime.
with an aliquot sum of 34; itself a semiprime, within an aliquot sequence of seven composite numbers (62,34,20,22,14,10,8,7,1,0) t... |
https://en.wikipedia.org/wiki/63%20%28number%29 | 63 (sixty-three) is the natural number following 62 and preceding 64.
Mathematics
63 is the sum of the first six powers of 2 (20 + 21 + ... 25). It is the eighth highly cototient number, and the fourth centered octahedral number; after 7 and 25. For five unlabeled elements, there are 63 posets.
Sixty-three is the se... |
https://en.wikipedia.org/wiki/64%20%28number%29 | 64 (sixty-four) is the natural number following 63 and preceding 65.
In mathematics
Sixty-four is the square of 8, the cube of 4, and the sixth-power of 2. It is the smallest number with exactly seven divisors. 64 is the first non-unitary sixth-power prime of the form p6 where p is a prime number.
The aliquot sum of ... |
https://en.wikipedia.org/wiki/65%20%28number%29 | 65 (sixty-five) is the natural number following 64 and preceding 66.
In mathematics
65 is the nineteenth distinct semiprime, (5.13); and the third of the form (5.q), where q is a higher prime.
65 has a prime aliquot sum of 19 within an aliquot sequence of one composite numbers (65,19,1,0) to the prime; as the fir... |
https://en.wikipedia.org/wiki/66%20%28number%29 | 66 (sixty-six) is the natural number following 65 and preceding 67.
Usages of this number include:
In mathematics
66 is:
a sphenic number.
a triangular number.
a hexagonal number.
a semi-meandric number.
a semiperfect number, being a multiple of a perfect number.
an Erdős–Woods number, since it is possible to find s... |
https://en.wikipedia.org/wiki/67%20%28number%29 | 67 (sixty-seven) is the natural number following 66 and preceding 68. It is an odd number.
In mathematics
67 is:
the 19th prime number (the next is 71).
a Chen prime.
an irregular prime.
a lucky prime.
the sum of five consecutive primes (7 + 11 + 13 + 17 + 19).
a Heegner number.
a Pillai prime since 18! + 1 is divis... |
https://en.wikipedia.org/wiki/68%20%28number%29 | 68 (sixty-eight) is the natural number following 67 and preceding 69. It is an even number.
In mathematics
68 is a composite number; a square-prime, of the form (p2, q) where q is a higher prime. It is the eighth of this form and the sixth of the form (22.q).
68 is a Perrin number.
It has an aliquot sum of 58 withi... |
https://en.wikipedia.org/wiki/Independent%20University%20of%20Moscow | The Independent University of Moscow (IUM) () is an educational organisation with rather informal status located in Moscow, Russia. It was founded in 1991 by a group of Russian mathematicians that included Vladimir Arnold (chairman) and Sergei Novikov. The IUM consists of the departments of mathematics and theoretical ... |
https://en.wikipedia.org/wiki/Trigraph | Trigraph may refer to:
Computing
Digraphs and trigraphs, a group of characters used to symbolise one character
An octal or decimal representation of byte values
Mnemonics for machine language instructions
As language codes in ISO 639
Cryptography
As substitution group in a substitution cipher
As combinations in the ... |
https://en.wikipedia.org/wiki/Jim%20Hall%20%28computer%20programmer%29 | Jim Hall (James F. Hall) is a computer programmer and advocate of free software, best known for his work on FreeDOS. Hall began writing the free replacement for the MS-DOS operating system in 1994 when he was still a physics student at the University of Wisconsin-River Falls. He remains active with FreeDOS, and is curr... |
https://en.wikipedia.org/wiki/Algebraic%20equation | In mathematics, an algebraic equation or polynomial equation is an equation of the form , where P is a polynomial with coefficients in some field, often the field of the rational numbers.
For example, is an algebraic equation with integer coefficients and
is a multivariate polynomial equation over the rationals.
For... |
https://en.wikipedia.org/wiki/List%20of%20mathematics-based%20methods | This is a list of mathematics-based methods.
Adams' method (differential equations)
Akra–Bazzi method (asymptotic analysis)
Bisection method (root finding)
Brent's method (root finding)
Condorcet method (voting systems)
Coombs' method (voting systems)
Copeland's method (voting systems)
Crank–Nicolson method (numerical... |
https://en.wikipedia.org/wiki/Brauer%20group | In mathematics, the Brauer group of a field K is an abelian group whose elements are Morita equivalence classes of central simple algebras over K, with addition given by the tensor product of algebras. It was defined by the algebraist Richard Brauer.
The Brauer group arose out of attempts to classify division algebras... |
https://en.wikipedia.org/wiki/Central%20simple%20algebra | In ring theory and related areas of mathematics a central simple algebra (CSA) over a field K is a finite-dimensional associative K-algebra A which is simple, and for which the center is exactly K. (Note that not every simple algebra is a central simple algebra over its center: for instance, if K is a field of characte... |
https://en.wikipedia.org/wiki/Piecewise | In mathematics, a piecewise-defined function (also called a piecewise function, a hybrid function, or definition by cases) is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain. Piecewise definition is actually a way of expressing the function, rather tha... |
https://en.wikipedia.org/wiki/Closed%20and%20exact%20differential%20forms | In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (), and an exact form is a differential form, α, that is the exterior derivative of another differential form β. Thus, an exact form is in the image of d, and a closed form is ... |
https://en.wikipedia.org/wiki/Alternating | Alternating may refer to:
Mathematics
Alternating algebra, an algebra in which odd-grade elements square to zero
Alternating form, a function formula in algebra
Alternating group, the group of even permutations of a finite set
Alternating knot, a knot or link diagram for which the crossings alternate under, over,... |
https://en.wikipedia.org/wiki/Finitary | In mathematics and logic, an operation is finitary if it has finite arity, i.e. if it has a finite number of input values. Similarly, an infinitary operation is one with an infinite number of input values.
In standard mathematics, an operation is finitary by definition. Therefore these terms are usually only used in... |
https://en.wikipedia.org/wiki/Trefoil%20knot | In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining the two loose ends of a common overhand knot, resulting in a knotted loop. As the simplest knot, the trefoil is fundamental to the study of mathematical knot theory.
The trefoi... |
https://en.wikipedia.org/wiki/New%20Math | New Mathematics or New Math was a dramatic but temporary change in the way mathematics was taught in American grade schools, and to a lesser extent in European countries and elsewhere, during the 1950s1970s.
Overview
In 1957, the U.S. National Science Foundation funded the development of several new curricula in the... |
https://en.wikipedia.org/wiki/Multiply%E2%80%93accumulate%20operation | In computing, especially digital signal processing, the multiply–accumulate (MAC) or multiply-add (MAD) operation is a common step that computes the product of two numbers and adds that product to an accumulator. The hardware unit that performs the operation is known as a multiplier–accumulator (MAC unit); the operati... |
https://en.wikipedia.org/wiki/Low-complexity%20art | Low-complexity art, first described by Jürgen Schmidhuber in 1997 and now established as a seminal topic within the larger field of computer science, is art that can be described by a short computer program (that is, a computer program of small Kolmogorov complexity).
Overview
Schmidhuber characterizes low-complexity... |
https://en.wikipedia.org/wiki/Digital%20physics | Digital physics is a speculative idea that the universe can be conceived of as a vast, digital computation device, or as the output of a deterministic or probabilistic computer program. The hypothesis that the universe is a digital computer was proposed by Konrad Zuse in his 1969 book Rechnender Raum ("Calculating Spac... |
https://en.wikipedia.org/wiki/Almost%20periodic%20function | In mathematics, an almost periodic function is, loosely speaking, a function of a real number that is periodic to within any desired level of accuracy, given suitably long, well-distributed "almost-periods". The concept was first studied by Harald Bohr and later generalized by Vyacheslav Stepanov, Hermann Weyl and Abra... |
https://en.wikipedia.org/wiki/Edward%20Fredkin | Edward Fredkin (October 2, 1934 – June 13, 2023) was an American computer scientist, physicist and businessman who was an early pioneer of digital physics.
Fredkin's primary contributions included work on reversible computing and cellular automata. While Konrad Zuse's book, Calculating Space (1969), mentioned the impo... |
https://en.wikipedia.org/wiki/W%20and%20Z%20bosons | In particle physics, the W and Z bosons are vector bosons that are together known as the weak bosons or more generally as the intermediate vector bosons. These elementary particles mediate the weak interaction; the respective symbols are , , and . The bosons have either a positive or negative electric charge of 1 elem... |
https://en.wikipedia.org/wiki/Solomonoff%27s%20theory%20of%20inductive%20inference | Solomonoff's theory of inductive inference is a mathematical theory of induction introduced by Ray Solomonoff, based on probability theory and theoretical computer science. In essence, Solomonoff's induction derives the posterior probability of any computable theory, given a sequence of observed data. This posterior pr... |
https://en.wikipedia.org/wiki/Analog%20signal%20processing | Analog signal processing is a type of signal processing conducted on continuous analog signals by some analog means (as opposed to the discrete digital signal processing where the signal processing is carried out by a digital process). "Analog" indicates something that is mathematically represented as a set of continuo... |
https://en.wikipedia.org/wiki/Linear%20combination%20of%20atomic%20orbitals | A linear combination of atomic orbitals or LCAO is a quantum superposition of atomic orbitals and a technique for calculating molecular orbitals in quantum chemistry. In quantum mechanics, electron configurations of atoms are described as wavefunctions. In a mathematical sense, these wave functions are the basis set of... |
https://en.wikipedia.org/wiki/Gaussian%20orbital | In computational chemistry and molecular physics, Gaussian orbitals (also known as Gaussian type orbitals, GTOs or Gaussians) are functions used as atomic orbitals in the LCAO method for the representation of electron orbitals in molecules and numerous properties that depend on these.
Rationale
The use of Gaussian o... |
https://en.wikipedia.org/wiki/John%20C.%20Slater | John Clarke Slater (December 22, 1900 – July 25, 1976) was an American physicist who advanced the theory of the electronic structure of atoms, molecules and solids. He also made major contributions to microwave electronics. He received a B.S. in physics from the University of Rochester in 1920 and a Ph.D. in physics fr... |
https://en.wikipedia.org/wiki/Time%20complexity | In theoretical computer science, the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly estimated by counting the number of elementary operations performed by the algorithm, supposing that each elementary operation takes a... |
https://en.wikipedia.org/wiki/Trade-off | A trade-off (or tradeoff) is a situational decision that involves diminishing or losing one quality, quantity, or property of a set or design in return for gains in other aspects. In simple terms, a tradeoff is where one thing increases, and another must decrease. Tradeoffs stem from limitations of many origins, includ... |
https://en.wikipedia.org/wiki/Teacher%20in%20Space%20Project | The Teacher in Space Project (TISP) was a NASA program announced by Ronald Reagan in 1984 designed to inspire students, honor teachers, and spur interest in mathematics, science, and space exploration. The project would carry teachers into space as Payload Specialists (non-astronaut civilians), who would return to thei... |
https://en.wikipedia.org/wiki/Levenshtein%20distance | In information theory, linguistics, and computer science, the Levenshtein distance is a string metric for measuring the difference between two sequences. Informally, the Levenshtein distance between two words is the minimum number of single-character edits (insertions, deletions or substitutions) required to change one... |
https://en.wikipedia.org/wiki/Edit%20distance | In computational linguistics and computer science, edit distance is a string metric, i.e. a way of quantifying how dissimilar two strings (e.g., words) are to one another, that is measured by counting the minimum number of operations required to transform one string into the other. Edit distances find applications in n... |
https://en.wikipedia.org/wiki/Eric%20Allin%20Cornell | Eric Allin Cornell (born December 19, 1961) is an American physicist who, along with Carl E. Wieman, was able to synthesize the first Bose–Einstein condensate in 1995. For their efforts, Cornell, Wieman, and Wolfgang Ketterle shared the Nobel Prize in Physics in 2001.
Biography
Cornell was born in Palo Alto, Californi... |
https://en.wikipedia.org/wiki/Time%20series | In mathematics, a time series is a series of data points indexed (or listed or graphed) in time order. Most commonly, a time series is a sequence taken at successive equally spaced points in time. Thus it is a sequence of discrete-time data. Examples of time series are heights of ocean tides, counts of sunspots, and t... |
https://en.wikipedia.org/wiki/Yuri%20Baturin | Yuri Mikhailovich Baturin (; born 12 June 1949, in Moscow), is a Russian cosmonaut and former politician. He has the federal state civilian service rank of 1st class Active State Councillor of the Russian Federation.
Baturin graduated from the Moscow Institute of Physics and Technology in 1973, and is the former Assis... |
https://en.wikipedia.org/wiki/Fermi%20problem | In physics or engineering education, a Fermi problem (or Fermi quiz, Fermi question, Fermi estimate), also known as a order-of-magnitude problem (or order-of-magnitude estimate, order estimation), is an estimation problem designed to teach dimensional analysis or approximation of extreme scientific calculations, and su... |
https://en.wikipedia.org/wiki/Clausen%20function | In mathematics, the Clausen function, introduced by , is a transcendental, special function of a single variable. It can variously be expressed in the form of a definite integral, a trigonometric series, and various other forms. It is intimately connected with the polylogarithm, inverse tangent integral, polygamma func... |
https://en.wikipedia.org/wiki/Dawson%20function | In mathematics, the Dawson function or Dawson integral
(named after H. G. Dawson)
is the one-sided Fourier–Laplace sine transform of the Gaussian function.
Definition
The Dawson function is defined as either:
also denoted as or or alternatively
The Dawson function is the one-sided Fourier–Laplace sine transform ... |
https://en.wikipedia.org/wiki/Debye%20function | In mathematics, the family of Debye functions is defined by
The functions are named in honor of Peter Debye, who came across this function (with n = 3) in 1912 when he analytically computed the heat capacity of what is now called the Debye model.
Mathematical properties
Relation to other functions
The Debye functi... |
https://en.wikipedia.org/wiki/Legendre%20form | In mathematics, the Legendre forms of elliptic integrals are a canonical set of three elliptic integrals to which all others may be reduced. Legendre chose the name elliptic integrals because the second kind gives the arc length of an ellipse of unit semi-major axis and eccentricity (the ellipse being defined parametr... |
https://en.wikipedia.org/wiki/Carlson%20symmetric%20form | In mathematics, the Carlson symmetric forms of elliptic integrals are a small canonical set of elliptic integrals to which all others may be reduced. They are a modern alternative to the Legendre forms. The Legendre forms may be expressed in terms of the Carlson forms and vice versa.
The Carlson elliptic integrals are... |
https://en.wikipedia.org/wiki/Complete%20Fermi%E2%80%93Dirac%20integral | In mathematics, the complete Fermi–Dirac integral, named after Enrico Fermi and Paul Dirac, for an index j is defined by
This equals
where is the polylogarithm.
Its derivative is
and this derivative relationship is used to define the Fermi-Dirac integral for nonpositive indices j. Differing notation for appear... |
https://en.wikipedia.org/wiki/Incomplete%20Fermi%E2%80%93Dirac%20integral | In mathematics, the incomplete Fermi–Dirac integral for an index j is given by
This is an alternate definition of the incomplete polylogarithm.
See also
Complete Fermi–Dirac integral
External links
GNU Scientific Library - Reference Manual
Special functions |
https://en.wikipedia.org/wiki/Polygamma%20function | In mathematics, the polygamma function of order is a meromorphic function on the complex numbers defined as the th derivative of the logarithm of the gamma function:
Thus
holds where is the digamma function and is the gamma function. They are holomorphic on . At all the nonpositive integers these polygamma functi... |
https://en.wikipedia.org/wiki/Digamma%20function | In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function:
It is the first of the polygamma functions. This function is strictly increasing and strictly concave on , and it asymptotically behaves as
for large arguments () in the sector with some infinitesimally small positiv... |
https://en.wikipedia.org/wiki/Transport%20function | In mathematics and the field of transportation theory, the transport functions J(n,x) are defined by
Note that
See also
Incomplete gamma function
Special functions
Transportation theory |
https://en.wikipedia.org/wiki/Synchrotron%20function | In mathematics the synchrotron functions are defined as follows (for x ≥ 0):
First synchrotron function
Second synchrotron function
where Kj is the modified Bessel function of the second kind.
Use in astrophysics
In astrophysics, x is usually a ratio of frequencies, that is, the frequency over a critical freque... |
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/Boris%20Derjaguin | Boris Vladimirovich Derjaguin (or Deryagin; ) (9 August 1902 in Moscow – 16 May 1994) was a Soviet and Russian chemist. As a member of the Russian Academy of Sciences, he laid the foundation of the modern science of colloids and surfaces. An epoch in the development of the physical chemistry of colloids and surfaces is... |
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/Biophotonics | The term biophotonics denotes a combination of biology and photonics, with photonics being the science and technology of generation, manipulation, and detection of photons, quantum units of light. Photonics is related to electronics and photons. Photons play a central role in information technologies, such as fiber op... |
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/101%20%28number%29 | 101 (one hundred [and] one) is the natural number following 100 and preceding 102.
It is variously pronounced "one hundred and one" / "a hundred and one", "one hundred one" / "a hundred one", and "one oh one". As an ordinal number, 101st (one hundred [and] first), rather than 101th, is the correct form.
In mathematic... |
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/Flicker%20fusion%20threshold | The flicker fusion threshold, also known as critical flicker frequency or flicker fusion rate, is the frequency at which a flickering light appears steady to the average human observer. It is concept studied in vision science, more specifically in the psychophysics of visual perception. A traditional term for "flicker ... |
https://en.wikipedia.org/wiki/Implementation | Implementation is the realization of an application, execution of a plan, idea, model, design, specification, standard, algorithm, policy, or the administration or management of a process or objective.
Industry-specific definitions
Computer science
In computer science, an implementation is a realization of a technic... |
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/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/Moving%20average%20%28disambiguation%29 | A moving average is a calculation to analyze data points by creating a series of averages of different subsets of the full data set.
Moving average may also refer to:
Moving-average model, an approach for modeling univariate time series models
Moving average filter, a finite impulse response filter in digital signa... |
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/Tracer | Tracer may refer to:
Science
Flow tracer, any fluid property used to track fluid motion
Fluorescent tracer, a substance such as 2-NBDG containing a fluorophore that is used for tracking purposes
Histochemical tracer, a substance used for tracing purposes in histochemistry, the study of the composition of cells and ... |
https://en.wikipedia.org/wiki/Roderick%20Chisholm | Roderick Milton Chisholm (; November 27, 1916 – January 19, 1999) was an American philosopher known for his work on epistemology, metaphysics, free will, value theory, and the philosophy of perception.
The Stanford Encyclopedia of Philosophy remarks that he "is widely regarded as one of the most creative, productive, ... |
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