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1. Polynomial: In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x ... (Type of mathematical expression) [100%] 2024-01-07 [Polynomials] [Algebra]...
2. Polynomial: An expression of the form $$f(x,y,\dots,w)=$$ $$=Ax^ky^l\dotsm w^m+Bx^ny^p\dotsm w^q+\dots+Dx^ry^s\dotsm w^t,$$ where $x,y,\dots,w$ are variables and $A,B,\dots ... (Mathematics) [100%] 2023-01-13
3. Polynomial: A polynomial is a type of function that involves a finite sum of terms of the form anx. Here, n is an integer greater than or equal to 0 and an can be any number, real or complex. [100%] 2023-03-19 [Mathematics] [Algebra]...
4. Polynomial (hyperelastic model): The polynomial hyperelastic material model is a phenomenological model of rubber elasticity. In this model, the strain energy density function is of the form of a polynomial in the two invariants \displaystyle{ I_1,I_2 }[/math] of the left Cauchy-Green ... (Physics) [100%] 2024-01-07 [Continuum mechanics] [Non-Newtonian fluids]...
5. Posynomial: A posynomial, also known as a posinomial in some literature, is a function of the form where all the coordinates x i {\displaystyle x_{i}} and coefficients c k {\displaystyle c_{k}} are positive real numbers, and the exponents a ... [88%] 2024-01-08 [Functions and mappings]
6. Posynomial: A posynomial, also known as a posinomial in some literature, is a function of the form where all the coordinates \displaystyle{ x_i }[/math] and coefficients \displaystyle{ c_k }[/math] are positive real numbers, and the exponents \displaystyle{ a_{ik} }[/math] are ... [88%] 2024-01-07 [Functions and mappings]
7. Euler polynomials: Polynomials of the form $$ E _ {n} ( x) = \sum _ { k=0}^ { n } \left ( \begin{array}{c} n \\ k \end{array} \right ) \frac{E _ k}{2 ^ {k}} \left ( x - \frac{1}{2} \right ) ^ {n-k} , $$ where $ E _ {k ... (Mathematics) [78%] 2024-01-12
8. Angelescu polynomials: In mathematics, the Angelescu polynomials πn(x) are a series of polynomials generalizing the Laguerre polynomials introduced by (Angelescu 1938). The polynomials can be given by the generating function\displaystyle{ \phi\left(\frac t{1-t}\right)\exp\left(-\frac ... (Polynomial sequence) [78%] 2024-01-07 [Polynomials]
9. Stieltjes polynomials: A system of polynomials $\{ E _ { n + 1} \}$ which satisfy the orthogonality condition \begin{equation*} \int _ { a } ^ { b } P _ { n } ( x ) E _ { n + 1 } ( x ) x ^ { k } h ( x ) d x = 0 , \quad k = 1 , \dots , n ... (Mathematics) [78%] 2023-11-14
10. Higher polynomials: Уравнения такого вида является разрешимым в аналитических радикалах, только тогда когда v , a ≠ 0. {\displaystyle v,\quad a\neq 0.} является параметром, имеющий фиксированное значение. [78%] 2023-12-16
11. Stirling polynomials: In mathematics, the Stirling polynomials are a family of polynomials that generalize important sequences of numbers appearing in combinatorics and analysis, which are closely related to the Stirling numbers, the Bernoulli numbers, and the generalized Bernoulli polynomials. There are multiple ... [78%] 2024-01-08 [Polynomials]
12. Chebyshev polynomials: The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions, notated as \displaystyle{ T_n(x) }[/math] and \displaystyle{ U_n(x) }[/math]. They can be defined in several equivalent ways, one of which starts with trigonometric ... (Polynomial sequence) [78%] 2024-01-07 [Special hypergeometric functions] [Orthogonal polynomials]...
13. Touchard polynomials: The Touchard polynomials, studied by Jacques Touchard (1939), also called the exponential polynomials or Bell polynomials, comprise a polynomial sequence of binomial type defined by where S ( n , k ) = { n k } {\displaystyle S(n,k)=\left\{{n \atop k}\right ... (Sequence of polynomials) [78%] 2024-01-03 [Polynomials]
14. Appell polynomials: A class of polynomials over the field of complex numbers which contains many classical polynomial systems. The Appell polynomials were introduced by P.E. (Mathematics) [78%] 2023-09-29
15. Angelescu polynomials: In mathematics, the Angelescu polynomials πn(x) are a series of polynomials generalizing the Laguerre polynomials introduced by Angelescu (1938). The polynomials can be given by the generating function They can also be defined by the equation The Angelescu polynomials ... (Polynomial sequence) [78%] 2023-05-01 [Polynomials]
16. Legendre polynomials: In physical science and mathematics, Legendre polynomials (named after Adrien-Marie Legendre, who discovered them in 1782) are a system of complete and orthogonal polynomials, with a vast number of mathematical properties, and numerous applications. They can be defined in ... [78%] 2023-01-25 [Special hypergeometric functions] [Orthogonal polynomials]...
17. Boubaker Polynomials: Boubaker polynomials are the components of a polynomial sequence : Boubaker polynomials are also defined in general mode through the recurrence relation: Note that the first three polynomials are explicitly defined, and that the formula can only be used for m ... [78%] 2024-01-20 [Wiki Studies]
18. Todd polynomials: A sequence of polynomials with rational number coefficients associated with Todd classes. Let $$ H(z; \xi_1,\ldots,\xi_s) = \prod_{i=1}^s \frac{z \xi_i}{1 - \exp(-z\xi_i)} \. (Mathematics) [78%] 2023-11-04
19. Zolotarev polynomials: In mathematics, Zolotarev polynomials are polynomials used in approximation theory. They are sometimes used as an alternative to the Chebyshev polynomials where accuracy of approximation near the origin is of less importance. [78%] 2024-01-08 [Polynomials] [Approximation theory]...
20. Konhauser polynomials: In mathematics, the Konhauser polynomials, introduced by Konhauser (1967), are biorthogonal polynomials for the distribution function of the Laguerre polynomials. [78%] 2023-01-12 [Orthogonal polynomials]