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RECURRENCE RELATION

  • Recurrence relation
  • Pattern defining an infinite sequence of numbers

    In mathematics, a recurrence relation is an equation according to which the n {\displaystyle n} th term of a sequence of numbers is equal to some combination

    Recurrence relation

    Recurrence_relation

  • Hermite polynomials
  • Polynomial sequence

    sequence of probabilist's Hermite polynomials also satisfies the recurrence relation He n + 1 ⁡ ( x ) = x He n ⁡ ( x ) − He n ′ ⁡ ( x ) . {\displaystyle

    Hermite polynomials

    Hermite_polynomials

  • Three-term recurrence relation
  • linear three-term recurrence relation (TTRR, the qualifiers "homogeneous linear" are usually taken for granted) is a recurrence relation of the form y n

    Three-term recurrence relation

    Three-term_recurrence_relation

  • Stirling numbers of the second kind
  • Numbers parameterizing ways to partition a set

    entries would all be 0. Stirling numbers of the second kind obey the recurrence relation (first discovered by Masanobu Saka in his 1782 Sanpō-Gakkai): { n

    Stirling numbers of the second kind

    Stirling numbers of the second kind

    Stirling_numbers_of_the_second_kind

  • Linear recurrence with constant coefficients
  • Mathematical relation defining a sequence

    and dynamical systems), a linear recurrence with constant coefficients (also known as a linear recurrence relation or linear difference equation) sets

    Linear recurrence with constant coefficients

    Linear_recurrence_with_constant_coefficients

  • Gaussian quadrature
  • Approximation of the definite integral of a function

    is the case for Gaussian quadrature), the recurrence relation reduces to a three-term recurrence relation: For s < r − 1 , x p s {\displaystyle s<r-1

    Gaussian quadrature

    Gaussian quadrature

    Gaussian_quadrature

  • Fibonacci sequence
  • Numbers obtained by adding the two previous ones

    numbers are also closely related to Lucas numbers, which obey the same recurrence relation and with the Fibonacci numbers form a complementary pair of Lucas

    Fibonacci sequence

    Fibonacci sequence

    Fibonacci_sequence

  • Stirling numbers of the first kind
  • Count of permutations by cycles

    k}\right].} The unsigned Stirling numbers of the first kind follow the recurrence relation [ n + 1 k ] = n [ n k ] + [ n k − 1 ] {\displaystyle \left[{n+1 \atop

    Stirling numbers of the first kind

    Stirling_numbers_of_the_first_kind

  • Sequence
  • Finite or infinite ordered list of elements

    applications of the recurrence relation. The Fibonacci sequence is a simple classical example, defined by the recurrence relation a n = a n − 1 + a n

    Sequence

    Sequence

    Sequence

  • Multiset
  • Mathematical set with repetitions allowed

    \choose k}\!\!\right)=\left(\!\!{k+1 \choose n-1}\!\!\right).} A recurrence relation for multiset coefficients may be given as ( ( n k ) ) = ( ( n k −

    Multiset

    Multiset

  • Polygamma function
  • Meromorphic function

    case above but which has an extra term ⁠e−t/t⁠. It satisfies the recurrence relation ψ ( m ) ( z + 1 ) = ψ ( m ) ( z ) + ( − 1 ) m m ! z m + 1 {\displaystyle

    Polygamma function

    Polygamma function

    Polygamma_function

  • Master theorem (analysis of algorithms)
  • Tool for analyzing divide-and-conquer algorithms

    the master theorem for divide-and-conquer recurrences provides an asymptotic analysis for many recurrence relations that occur in the analysis of divide-and-conquer

    Master theorem (analysis of algorithms)

    Master_theorem_(analysis_of_algorithms)

  • Volume of an n-ball
  • Size of a mathematical ball

    number V n {\displaystyle V_{n}} can be expressed via a two-dimension recurrence relation. Closed-form expressions involve the gamma, factorial, or double

    Volume of an n-ball

    Volume of an n-ball

    Volume_of_an_n-ball

  • Metallic mean
  • Generalization of golden and silver ratios

    linear recurrence relation of the form x k = n x k − 1 + x k − 2 . {\displaystyle x_{k}=nx_{k-1}+x_{k-2}.} It follows that, given such a recurrence the solution

    Metallic mean

    Metallic mean

    Metallic_mean

  • Pseudopolynomial time number partitioning
  • \lfloor K/2\rfloor } , N). In aid of this, we have the following recurrence relation: p(i, j) is True if either p(i, j − 1) is True or if p(i − xj, j

    Pseudopolynomial time number partitioning

    Pseudopolynomial_time_number_partitioning

  • Recurrence
  • Topics referred to by the same term

    Recurrence plot, a statistical plot that shows a pattern that re-occurs Recurrence relation, an equation which defines a sequence recursively Recurrent rotation

    Recurrence

    Recurrence

  • Digamma function
  • Mathematical function

    (1)+H_{z}.} A consequence is the following generalization of the recurrence relation: ψ ( w + 1 ) − ψ ( z + 1 ) = H w − H z . {\displaystyle \psi (w+1)-\psi

    Digamma function

    Digamma function

    Digamma_function

  • Orthogonal polynomials
  • Set of polynomials where any two are orthogonal to each other

    expression with the determinant. The polynomials Pn satisfy a three-term recurrence relation of the form P n ( x ) = ( A n x + B n ) P n − 1 ( x ) + C n P n −

    Orthogonal polynomials

    Orthogonal_polynomials

  • Catalan number
  • Recursive integer sequence

    equation follows from the recurrence relation by expanding both sides into power series. On the one hand, the recurrence relation uniquely determines the

    Catalan number

    Catalan number

    Catalan_number

  • Quicksort
  • Divide and conquer sorting algorithm

    {\displaystyle 2an\log _{4/3}n} . An alternative approach is to set up a recurrence relation for the T(n) factor, the time needed to sort a list of size n. In

    Quicksort

    Quicksort

    Quicksort

  • Richardson extrapolation
  • Sequence acceleration method in numerical analysis

    {t^{k_{0}}A_{0}\left({\frac {h}{t}}\right)-A_{0}(h)}{t^{k_{0}}-1}}.} A general recurrence relation can be defined for the approximations by A i + 1 ( h ) = t k i A

    Richardson extrapolation

    Richardson extrapolation

    Richardson_extrapolation

  • Clenshaw algorithm
  • Method in numerical analysis

    applies to any class of functions that can be defined by a three-term recurrence relation. In full generality, the Clenshaw algorithm computes the weighted

    Clenshaw algorithm

    Clenshaw_algorithm

  • Factorial
  • Product of numbers from 1 to n

    product of the same form, for a smaller factorial. This leads to a recurrence relation, according to which each value of the factorial function can be obtained

    Factorial

    Factorial

  • Combinatorial principles
  • Methods used in combinatorics

    _{n=0}^{\infty }a_{n}x^{n}.} A recurrence relation defines each term of a sequence in terms of the preceding terms. Recurrence relations may lead to previously

    Combinatorial principles

    Combinatorial_principles

  • Eisenstein series
  • Series representing modular forms

    4 {\displaystyle G_{4}} and G 6 {\displaystyle G_{6}} through a recurrence relation. Let d k = ( 2 k + 3 ) ! G 2 k + 4 {\displaystyle d_{k}=(2k+3)!G_{2k+4}}

    Eisenstein series

    Eisenstein_series

  • Recursion (computer science)
  • Use of functions that call themselves

    as a recurrence relation: b n = n b n − 1 {\displaystyle b_{n}=nb_{n-1}} b 0 = 1 {\displaystyle b_{0}=1} This evaluation of the recurrence relation demonstrates

    Recursion (computer science)

    Recursion (computer science)

    Recursion_(computer_science)

  • Thue–Morse sequence
  • Infinite binary sequence generated by repeated complementation and concatenation

    memory. The Thue–Morse sequence is the sequence tn satisfying the recurrence relation t 0 = 0 , t 2 n = t n , t 2 n + 1 = 1 − t n , {\displaystyle

    Thue–Morse sequence

    Thue–Morse_sequence

  • Incomplete gamma function
  • Types of special mathematical functions

    extend to their holomorphic counterparts. Repeated application of the recurrence relation for the lower incomplete gamma function leads to the power series

    Incomplete gamma function

    Incomplete gamma function

    Incomplete_gamma_function

  • Wallis' integrals
  • Family of mathematical integrals

    {\text{Equation (2)}}} for all n ≥ 2. {\displaystyle n\geq 2.} This is a recurrence relation giving W n {\displaystyle W_{n}} in terms of W n − 2 {\displaystyle

    Wallis' integrals

    Wallis' integrals

    Wallis'_integrals

  • Triangle of partition numbers
  • to Pascal's triangle, these numbers may be calculated using the recurrence relation p k ( n ) = p k − 1 ( n − 1 ) + p k ( n − k ) . {\displaystyle

    Triangle of partition numbers

    Triangle_of_partition_numbers

  • Gamma function
  • Extension of the factorial function

    that the gamma function is the unique solution to the factorial recurrence relation that is positive and logarithmically convex for positive ⁠ z {\displaystyle

    Gamma function

    Gamma function

    Gamma_function

  • Mersenne Twister
  • Pseudorandom number generator

    {\displaystyle n} : degree of recurrence m {\displaystyle m} : middle word, an offset used in the recurrence relation defining the series x {\displaystyle

    Mersenne Twister

    Mersenne_Twister

  • Functional equation
  • Equation whose unknown is a function

    case, a functional equation (in the narrower meaning) is called a recurrence relation. Thus the term functional equation is used mainly for real functions

    Functional equation

    Functional_equation

  • Ramanujan–Sato series
  • Series related to Ramanujan's pi formulas

    sequences of integers s ( k ) {\displaystyle s(k)} obeying a certain recurrence relation, sequences which may be expressed in terms of binomial coefficients

    Ramanujan–Sato series

    Ramanujan–Sato_series

  • Anger function
  • )}{\pi }}.} The Anger function satisfies this inhomogeneous form of recurrence relation z J ν − 1 ( z ) + z J ν + 1 ( z ) = 2 ν J ν ( z ) − 2 sin ⁡ π ν π

    Anger function

    Anger function

    Anger_function

  • Bessel function
  • Family of solutions to related differential equations

    }(x)-J_{\alpha +1}(x)} These formulas can be used to determine a recurrence relation for J α ( x ) {\displaystyle J_{\alpha }(x)} , a more general form

    Bessel function

    Bessel function

    Bessel_function

  • Binomial coefficient
  • Number of subsets of a given size

    gives a triangular array called Pascal's triangle, satisfying the recurrence relation ( n k ) = ( n − 1 k − 1 ) + ( n − 1 k ) . {\displaystyle {\binom

    Binomial coefficient

    Binomial coefficient

    Binomial_coefficient

  • Discrete mathematics
  • Study of discrete mathematical structures

    formula for its general term, or it could be given implicitly by a recurrence relation or difference equation. Difference equations are similar to differential

    Discrete mathematics

    Discrete mathematics

    Discrete_mathematics

  • Linear differential equation
  • Differential equation that is linear with respect to the unknown function

    holonomic sequence is a sequence of numbers that may be generated by a recurrence relation with polynomial coefficients. The coefficients of the Taylor series

    Linear differential equation

    Linear_differential_equation

  • Skolem–Mahler–Lech theorem
  • The zeros of a linear recurrence relation mostly form a regularly repeating pattern

    with values in K {\displaystyle K} , i.e., a sequence satisfying a recurrence relation of the form u n + d = c d − 1 u n + d − 1 + ⋯ + c 0 u n {\displaystyle

    Skolem–Mahler–Lech theorem

    Skolem–Mahler–Lech_theorem

  • Frobenius method
  • Method for solving ordinary differential equations

    below) - the coefficients of the generalized power series obey a recurrence relation, so that they can always be straightforwardly calculated. A second

    Frobenius method

    Frobenius method

    Frobenius_method

  • Bessel–Clifford function
  • {C}}_{n}(x),} which defines the recurrence relationship for the Bessel–Clifford function. This is equivalent to a similar relation for 0F1. We have, as a special

    Bessel–Clifford function

    Bessel–Clifford function

    Bessel–Clifford_function

  • Pentagonal number theorem
  • Theorem in number theory

    {\displaystyle n\geq 1} . This gives a recurrence relation defining p(n) in terms of an, and vice versa a recurrence for an in terms of p(n). Thus, our desired

    Pentagonal number theorem

    Pentagonal_number_theorem

  • Boustrophedon transform
  • Mathematical transformation on sequences

    = N − 1 {\displaystyle k=N-1} . A more formal definition uses a recurrence relation. Define the numbers T k , n {\displaystyle T_{k,n}} (with k ≥ n ≥ 0)

    Boustrophedon transform

    Boustrophedon_transform

  • Partition function (number theory)
  • Number of partitions of an integer

    eta function. The same sequence of pentagonal numbers appears in a recurrence relation for the partition function: p ( n ) = ∑ k ∈ Z ∖ { 0 } ( − 1 ) k +

    Partition function (number theory)

    Partition function (number theory)

    Partition_function_(number_theory)

  • Geometric progression
  • Mathematical sequence of numbers

    first-order, homogeneous linear recurrence with constant coefficients. Geometric sequences also satisfy the nonlinear recurrence relation a n = a n − 1 2 / a n

    Geometric progression

    Geometric progression

    Geometric_progression

  • Trigamma function
  • Mathematical function

    number and we choose B1 = ⁠1/2⁠. The trigamma function satisfies the recurrence relation ψ 1 ( z + 1 ) = ψ 1 ( z ) − 1 z 2 {\displaystyle \psi _{1}(z+1)=\psi

    Trigamma function

    Trigamma function

    Trigamma_function

  • Chebyshev polynomials
  • Pair of polynomial sequences

    The Chebyshev polynomials of the first kind can be defined by the recurrence relation T 0 ( x ) = 1 , T 1 ( x ) = x , T n + 1 ( x ) = 2 x T n ( x ) − T

    Chebyshev polynomials

    Chebyshev polynomials

    Chebyshev_polynomials

  • Formula for primes
  • Formula whose values are the prime numbers

    of p n {\displaystyle p_{n}} . This formula should be seen as a recurrence relation for the prime numbers, expressing p n {\displaystyle p_{n}} in terms

    Formula for primes

    Formula_for_primes

  • Bickley–Naylor functions
  • Functions for thermal radiation in hot enclosures

    harmonic number. The Bickley functions also satisfy the following recurrence relation: n Ki n + 1 ⁡ ( x ) = ( n − 1 ) Ki n − 1 ⁡ ( x ) − x Ki n ⁡ ( x )

    Bickley–Naylor functions

    Bickley–Naylor functions

    Bickley–Naylor_functions

  • Linear congruential generator
  • Algorithm for generating pseudo-randomized numbers

    arithmetic by storage-bit truncation. The generator is defined by the recurrence relation: X n + 1 = ( a X n + c ) mod m {\displaystyle X_{n+1}=\left(aX_{n}+c\right){\bmod

    Linear congruential generator

    Linear congruential generator

    Linear_congruential_generator

  • Typst
  • Open-source typesetting system

    in the bibliography The Fibonacci sequence is defined through the recurrence relation $F_n = F_(n-1) + F_(n-2)$. It can also be expressed in _closed form:_

    Typst

    Typst

    Typst

  • Marcum Q-function
  • Function in statistics

    show that generalized Marcum Q-function satisfies the following recurrence relation Q ν + 1 ( a , b ) − Q ν ( a , b ) = ( b a ) ν e − ( a 2 + b 2 ) /

    Marcum Q-function

    Marcum_Q-function

  • Meixner–Pollaczek polynomials
  • <\pi .} The sequence of Meixner–Pollaczek polynomials satisfies the recurrence relation ( n + 1 ) P n + 1 ( λ ) ( x ; ϕ ) = 2 ( x sin ⁡ ϕ + ( n + λ ) cos

    Meixner–Pollaczek polynomials

    Meixner–Pollaczek_polynomials

  • Bateman polynomials
  • (2n+1)}}\delta _{mn}.} The sequence of Bateman polynomials satisfies the recurrence relation ( n + 1 ) 2 F n + 1 ( z ) = − ( 2 n + 1 ) z F n ( z ) + n 2 F n −

    Bateman polynomials

    Bateman_polynomials

  • Generalized minimal residual method
  • Method for numerical solution of certain systems of equations

    three-term recurrence relation. It can be shown that there is no Krylov subspace method for general matrices, which is given by a short recurrence relation and

    Generalized minimal residual method

    Generalized_minimal_residual_method

  • Muller's method
  • Algorithm for finding roots of a function

    method proceeds according to a third-order recurrence relation similar to the second-order recurrence relation of the secant method. Whereas the secant

    Muller's method

    Muller's method

    Muller's_method

  • Exponential factorial
  • Recursive mathematical formula

    defined with the recurrence relation a 1 = 1 , a n = n a n − 1 . {\displaystyle a_{1}=1,\quad a_{n}=n^{a_{n-1}}.} Using the recurrence relation, the first exponential

    Exponential factorial

    Exponential_factorial

  • Classical orthogonal polynomials
  • Type of orthogonal polynomials

    {\displaystyle {\frac {d}{dx}}[(1-x^{2})\,y']+\lambda \,y=0.} The recurrence relation is ( n + 1 ) P n + 1 ( x ) = ( 2 n + 1 ) x P n ( x ) − n P n − 1

    Classical orthogonal polynomials

    Classical_orthogonal_polynomials

  • Constant-recursive sequence
  • Infinite sequence of numbers satisfying a linear equation

    constants. The equation is called a linear recurrence relation. The concept is also known as a linear recurrence sequence, linear-recursive sequence, linear-recurrent

    Constant-recursive sequence

    Constant-recursive sequence

    Constant-recursive_sequence

  • Telephone number (mathematics)
  • Number of ways to pair up n objects

    that takes one into the other. The telephone numbers satisfy the recurrence relation T ( 0 ) = 1 , {\displaystyle T(0)=1,} T ( n ) = T ( n − 1 ) + ( n

    Telephone number (mathematics)

    Telephone number (mathematics)

    Telephone_number_(mathematics)

  • Symbolic integration
  • Computation of an antiderivatives

    series at any point satisfy a linear recurrence relation with polynomial coefficients, and that this recurrence relation may be computed from the differential

    Symbolic integration

    Symbolic_integration

  • H-vector
  • 1 ) {\displaystyle (f_{-1},f_{0},\dotsc ,f_{d-1})} by using the recurrence relation h 0 i = 1 , − 1 ≤ i ≤ d {\displaystyle h_{0}^{i}=1,\qquad -1\leq

    H-vector

    H-vector

  • Biconjugate gradient stabilized method
  • Concept in mathematics

    the recurrence relations for p̃i and r̃i are p̃i = r̃i−1 + βi(I − ωi−1A)p̃i−1, r̃i = (I − ωiA)(r̃i−1 − αiAp̃i). To derive a recurrence relation for xi

    Biconjugate gradient stabilized method

    Biconjugate_gradient_stabilized_method

  • Low-pass filter
  • Type of signal filter

    {\frac {y_{i}-y_{i-1}}{\Delta _{T}}}.} Rearranging terms gives the recurrence relation y i = x i ( Δ T R C + Δ T ) ⏞ Input contribution + y i − 1 ( R C

    Low-pass filter

    Low-pass_filter

  • Bell number
  • Count of the possible partitions of a set

    left and right sides of the triangle. The Bell numbers satisfy a recurrence relation involving binomial coefficients: B n + 1 = ∑ k = 0 n ( n k ) B k

    Bell number

    Bell number

    Bell_number

  • Silver ratio
  • Number, approximately 2.41421

    which can be found with the method of dominant balance using the recurrence relation for the central Delannoy numbers, n D n = ( 6 n − 3 ) D n − 1 − (

    Silver ratio

    Silver ratio

    Silver_ratio

  • Alternating factorial
  • \operatorname {af} (n)=\sum _{i=1}^{n}(-1)^{n-i}i!} or with the recurrence relation af ⁡ ( n ) = n ! − af ⁡ ( n − 1 ) {\displaystyle \operatorname {af}

    Alternating factorial

    Alternating_factorial

  • Power series solution of differential equations
  • Method for solving differential equations

    substitutes that solution into the differential equation to find a recurrence relation for the coefficients. Consider the second-order linear differential

    Power series solution of differential equations

    Power_series_solution_of_differential_equations

  • Harmonic number
  • Sum of the first n whole number reciprocals; 1/1 + 1/2 + 1/3 + ... + 1/n

    not larger than n. By definition, the harmonic numbers satisfy the recurrence relation H n + 1 = H n + 1 n + 1 . {\displaystyle H_{n+1}=H_{n}+{\frac {1}{n+1}}

    Harmonic number

    Harmonic number

    Harmonic_number

  • Padovan sequence
  • Sequence of integers

    ( 1 ) = P ( 2 ) = 1 , {\displaystyle P(0)=P(1)=P(2)=1,} and the recurrence relation P ( n ) = P ( n − 2 ) + P ( n − 3 ) . {\displaystyle P(n)=P(n-2)+P(n-3)

    Padovan sequence

    Padovan sequence

    Padovan_sequence

  • Recamán's sequence
  • Endless sequence of integers

    science, Recamán's sequence is a well known sequence defined by a recurrence relation. Because its elements are related to the previous elements in a straightforward

    Recamán's sequence

    Recamán's sequence

    Recamán's_sequence

  • Ordered Bell number
  • Number of orderings allowing ties

    summation formula involving binomial coefficients, or by using a recurrence relation. They also count combinatorial objects that have a bijective correspondence

    Ordered Bell number

    Ordered Bell number

    Ordered_Bell_number

  • Basel problem
  • Sum of inverse squares of natural numbers

    the method of elementary symmetric polynomials. Namely, we have a recurrence relation between the elementary symmetric polynomials and the power sum polynomials

    Basel problem

    Basel problem

    Basel_problem

  • Merge sort
  • Divide and conquer sorting algorithm

    comparisons) of merge sort for a list of length n is T(n), then the recurrence relation T(n) = 2T(n/2) + n follows from the definition of the algorithm (apply

    Merge sort

    Merge sort

    Merge_sort

  • Tridiagonal matrix
  • Matrix with nonzero elements on the main diagonal and the diagonals above and below it

    tridiagonal matrix A of order n can be computed from a three-term recurrence relation. Write f1 = |a1| = a1 (i.e., f1 is the determinant of the 1 by 1

    Tridiagonal matrix

    Tridiagonal_matrix

  • Arnold tongue
  • Phenomenon in maths

    positive as long as K < 1 {\displaystyle K<1} . P2. When expanding the recurrence relation, one obtains a formula for θ n {\displaystyle \theta _{n}} : θ n

    Arnold tongue

    Arnold tongue

    Arnold_tongue

  • Jacobi operator
  • Linear operator

    In fact, the solution p n ( x ) {\displaystyle p_{n}(x)} of the recurrence relation J p n ( x ) = x p n ( x ) , p 0 ( x ) = 1  and  p − 1 ( x ) = 0

    Jacobi operator

    Jacobi_operator

  • Autoregressive model
  • Representation of a type of random process

    The model is in the form of a stochastic difference equation (or recurrence relation) which should not be confused with a differential equation. Together

    Autoregressive model

    Autoregressive_model

  • Jacobsthal number
  • Numbers in a type of Lucas sequence

    U_{n}(P,Q)} for which P = 1, and Q = −2—and are defined by a similar recurrence relation: in simple terms, the sequence starts with 0 and 1, then each following

    Jacobsthal number

    Jacobsthal_number

  • Logistic map
  • Simple polynomial map exhibiting chaotic behavior

    dynamical system defined by the quadratic difference equation It is a recurrence relation and a polynomial mapping of degree 2. It is often referred to as

    Logistic map

    Logistic map

    Logistic_map

  • Favard's theorem
  • that a sequence of polynomials satisfying a suitable three-term recurrence relation is a sequence of orthogonal polynomials. The theorem was introduced

    Favard's theorem

    Favard's_theorem

  • Juggler sequence
  • Integer sequence in number theory

    integer a0, with each subsequent term in the sequence defined by the recurrence relation: a k + 1 = { ⌊ a k 1 2 ⌋ , if  a k  is even ⌊ a k 3 2 ⌋ , if  a k

    Juggler sequence

    Juggler_sequence

  • Parabolic cylinder function
  • Concept in mathematics

    Subtracting the first two expressions for the derivative gives the recurrence relation, z U ( a , z ) = U ( a − 1 , z ) − ( a + 1 2 ) U ( a + 1 , z ) .

    Parabolic cylinder function

    Parabolic cylinder function

    Parabolic_cylinder_function

  • Recursion (disambiguation)
  • Topics referred to by the same term

    problem depends on solutions to smaller instances of the same problem Recurrence relation, a recursive formula for a sequence of numbers a n {\displaystyle

    Recursion (disambiguation)

    Recursion_(disambiguation)

  • Generating function
  • Formal power series

    differential equation EF″(x) = EF′(x) + EF(x) as a direct analogue with the recurrence relation above. In this view, the factorial term n! is merely a counter-term

    Generating function

    Generating_function

  • Rolling hash
  • Type of hash function

    s'[i]=\operatorname {rol} (s[i],w)} The hash values is defined as the following recurrence relation: H i = { 0 if  i = 0 rol ⁡ ( H i − 1 , 1 ) ⊕ s [ c i ] if  i ≤ w

    Rolling hash

    Rolling_hash

  • Lax equivalence theorem
  • Theorem in numerical analysis

    difficult to establish because the numerical method is defined by a recurrence relation while the differential equation involves a differentiable function

    Lax equivalence theorem

    Lax_equivalence_theorem

  • High-pass filter
  • Type of electronic circuit or optical filter

    {y_{i}-y_{i-1}}{\Delta _{T}}}\right)} And rearranging terms gives the recurrence relation y i = R C R C + Δ T y i − 1 ⏞ Decaying contribution from prior inputs

    High-pass filter

    High-pass filter

    High-pass_filter

  • Wythoff array
  • Infinite matrix of integers derived from the Fibonacci sequence

    Zeckendorf's theorem, or directly from the golden ratio and the recurrence relation defining the Fibonacci numbers. The Wythoff array has the values

    Wythoff array

    Wythoff_array

  • Zernike polynomials
  • Polynomial sequence

    _{\varphi \varphi }} . The Zernike polynomials satisfy the following recurrence relation: R n m ( ρ ) + R n − 2 m ( ρ ) = ρ [ R n − 1 | m − 1 | ( ρ ) + R

    Zernike polynomials

    Zernike polynomials

    Zernike_polynomials

  • Laguerre polynomials
  • Sequence of differential equation solutions

    1 − x {\displaystyle L_{1}(x)=1-x} and then using the following recurrence relation for any k ≥ 1: L k + 1 ( x ) = ( 2 k + 1 − x ) L k ( x ) − k L k

    Laguerre polynomials

    Laguerre polynomials

    Laguerre_polynomials

  • Conway's Game of Life
  • Two-dimensional cellular automaton

    Cellular Automata FAQ – Conway's Game of Life cafaq.com Algebraic formula uk.mathworks.com: recurrence relation for iterating Conway's Game of Life.

    Conway's Game of Life

    Conway's Game of Life

    Conway's_Game_of_Life

  • Brahmagupta
  • Indian mathematician and astronomer (598–668)

    common multiple of their denominators. Brahmagupta went on to give a recurrence relation for generating solutions to certain instances of Diophantine equations

    Brahmagupta

    Brahmagupta

  • Nonlinear system
  • System where changes of output are not proportional to changes of input

    nonlinear recurrence relation defines successive terms of a sequence as a nonlinear function of preceding terms. Examples of nonlinear recurrence relations

    Nonlinear system

    Nonlinear_system

  • Logistic equation
  • Topics referred to by the same term

    applications in a wide range of fields. Logistic map, a nonlinear recurrence relation that plays a prominent role in chaos theory Logistic regression,

    Logistic equation

    Logistic_equation

  • Wallis product
  • Infinite product for pi

    values I ( 2 n ) {\displaystyle I(2n)} by repeatedly applying the recurrence relation result from the integration by parts. Eventually, we end get down

    Wallis product

    Wallis product

    Wallis_product

  • Recursion
  • Process of repeating items in a self-similar way

    computer program. Recurrence relations are equations which define one or more sequences recursively. Some specific kinds of recurrence relation can be "solved"

    Recursion

    Recursion

    Recursion

  • Historical recurrence
  • Repetition of similar events in history

    Historical recurrence is the concept that, in the study of history, similar events are sometimes found to re-occur. The concept has been applied to various

    Historical recurrence

    Historical_recurrence

  • Bernoulli number
  • Rational number sequence

    Then successive terms in the triangle can be computed with the recurrence relation b n + 1 , m = ( m + 1 ) ( b n , m − b n , m + 1 ) {\displaystyle

    Bernoulli number

    Bernoulli_number

AI & ChatGPT searchs for online references containing RECURRENCE RELATION

RECURRENCE RELATION

AI search references containing RECURRENCE RELATION

RECURRENCE RELATION

  • Bandhavi | பஂதாவீ
  • Girl/Female

    Tamil

    Bandhavi | பஂதாவீ

    Who loves friends & family members, Friendship, Relationship

    Bandhavi | பஂதாவீ

  • Parran
  • Surname or Lastname

    French

    Parran

    French : perhaps a variant of Parrain, relationship name from parrain ‘godfather’.English : possibly a variant of Parent.

    Parran

  • Rishtha
  • Girl/Female

    Hindu, Indian, Modern

    Rishtha

    Relationship

    Rishtha

  • Pillen
  • Surname or Lastname

    North German

    Pillen

    North German : probably from a derivative of Pille 1.Dutch : relationship name from Middle Dutch pil(le) ‘godchild’.English : possibly a variant of Pilling.

    Pillen

  • Bhandhavi | பாந்தவீ
  • Girl/Female

    Tamil

    Bhandhavi | பாந்தவீ

    Who loves friends & family members, Friendship, Relationship

    Bhandhavi | பாந்தவீ

  • Purdom
  • Surname or Lastname

    English

    Purdom

    English : metathesized variants of Prudhomme; the -ru- reversal is a fairly common occurrence in words where -r- is prededed or followed by a vowel.

    Purdom

  • Rishta | ரிஷ்தா 
  • Boy/Male

    Tamil

    Rishta | ரிஷ்தா 

    Relation

    Rishta | ரிஷ்தா 

  • Husayni |
  • Boy/Male

    Muslim

    Husayni |

    Of Husain, Nisba relation

    Husayni |

  • Sarvabandha | ஸர்வபஂதா
  • Boy/Male

    Tamil

    Sarvabandha | ஸர்வபஂதா

    Vimoktre detacher of all relationship

    Sarvabandha | ஸர்வபஂதா

  • Hickmott
  • Surname or Lastname

    English

    Hickmott

    English : from the Middle English personal name Hick + Middle English maugh, mough ‘relative’ (from Old Norse mágr or Old English magu). The exact nature of the relationship is not clear; the Middle English word meant ‘relative by marriage’, but was also used occasionally of a female blood relation.

    Hickmott

  • Messinger
  • Surname or Lastname

    English

    Messinger

    English : variant spelling of Messenger.German and Jewish (Ashkenazic) : occupational name for a brazier, from an agent derivative of Middle High German messinc ‘brass’, German Messing, from Greek mossynoikos (khalkos) ‘Mossynoecan bronze’, named after the people of northeastern Asia Minor who first produced the alloy.German : habitational name from Mössingen in Baden-Württemberg (Messingen in the local dialect), which is recorded as Masginga in 789, probably from the personal name Masco + ingen, suffix of relationship.

    Messinger

  • Husayni
  • Boy/Male

    Indian

    Husayni

    Of Husain, Nisba relation

    Husayni

  • Sarvabandha
  • Boy/Male

    Hindu

    Sarvabandha

    Vimoktre detacher of all relationship

    Sarvabandha

  • Bhandhavi
  • Girl/Female

    Indian

    Bhandhavi

    Who loves friends & family members, Friendship, Relationship

    Bhandhavi

  • Brooke
  • Surname or Lastname

    English

    Brooke

    English : variant spelling of Brook, which preserves a trace of the Old English dative singular case, originally used after a preposition (e.g. ‘at the brook’).In 1650, Robert and Mary Mainwaring Brooke brought ten children and a number of servants with them from England to MD, where Robert became governor. Although the fourteen known contemporary Brooke immigrants in VA included Robert’s brothers Richard and Humphrey, the relationships of the others are unknown. Brooke family memorials remain in the Anglican church at Whitchurch, Hampshire, England.

    Brooke

  • Bandhavi
  • Girl/Female

    Indian

    Bandhavi

    Who loves friends & family members, Friendship, Relationship

    Bandhavi

  • Jasevaraj | ஜஸேவாராஜ
  • Boy/Male

    Tamil

    Jasevaraj | ஜஸேவாராஜ

    Heart of relation

    Jasevaraj | ஜஸேவாராஜ

  • Purdon
  • Surname or Lastname

    English

    Purdon

    English : metathesized variants of Prudhomme; the -ru- reversal is a fairly common occurrence in words where -r- is prededed or followed by a vowel.

    Purdon

  • Fedder
  • Surname or Lastname

    English

    Fedder

    English : variant of Feather.North German, Dutch, and Danish : from the Frisian personal name Vetter, meaning ‘relative’. Relationship terms were commonly used as personal names in Friesland.

    Fedder

  • Natila |
  • Girl/Female

    Muslim

    Natila |

    Relation, Way, Sake

    Natila |

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RECURRENCE RELATION

Follow users with usernames @RECURRENCE RELATION or posting hashtags containing #RECURRENCE RELATION

RECURRENCE RELATION

Online names & meanings

  • Shanta | ஷாஂதா
  • Girl/Female

    Tamil

    Shanta | ஷாஂதா

    Peaceful

  • MILUN
  • Male

    French

    MILUN

    French form of Latin Milon, MILUN means "little soldier." 

  • Shamel
  • Boy/Male

    Indian

    Shamel

    All comprehensive, Complete

  • Nudar |
  • Girl/Female

    Muslim

    Nudar |

    Gold

  • Maadai
  • Biblical

    Maadai

    pleasant; testifying

  • Natara
  • Girl/Female

    Indian

    Natara

    Guardian

  • Dimitrios
  • Boy/Male

    American, Australian, German, Greek, Russian, Slavic

    Dimitrios

    Earth-lover; Follower of Demeter

  • Statton
  • Surname or Lastname

    English (mainly Cornwall)

    Statton

    English (mainly Cornwall) : variant of Statham or from a lost or unidentified place, possibly in southwestern England, where the surname is most frequent.

  • AKHIL
  • Male

    Hindi/Indian

    AKHIL

    (अखिल) Hindi name AKHIL means "complete."

  • Dustan
  • Boy/Male

    American, Australian, British, English, German

    Dustan

    Valiant Fighter; Dusty Place; Brave Warrior

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RECURRENCE RELATION

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RECURRENCE RELATION

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RECURRENCE RELATION

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Other words and meanings similar to

RECURRENCE RELATION

AI search in online dictionary sources & meanings containing RECURRENCE RELATION

RECURRENCE RELATION

  • Recubation
  • n.

    Recumbence.

  • Incursion
  • n.

    Attack; occurrence.

  • Instance
  • n.

    Occasion; order of occurrence.

  • Incurrence
  • n.

    The act of incurring, bringing on, or subjecting one's self to (something troublesome or burdensome); as, the incurrence of guilt, debt, responsibility, etc.

  • Intercurrence
  • n.

    A passing or running between; occurrence.

  • Use
  • v. t.

    Common occurrence; ordinary experience.

  • Occurrence
  • n.

    A coming or happening; as, the occurence of a railway collision.

  • Resurgence
  • n.

    The act of rising again; resurrection.

  • Sudden
  • n.

    An unexpected occurrence; a surprise.

  • Go
  • n.

    A circumstance or occurrence; an incident.

  • Recumbency
  • n.

    Recumbence.

  • Course
  • n.

    Customary or established sequence of events; recurrence of events according to natural laws.

  • Recurrence
  • n.

    Alt. of Recurrency

  • Decurrence
  • n.

    The act of running down; a lapse.

  • Occurrence
  • n.

    Any incident or event; esp., one which happens without being designed or expected; as, an unusual occurrence, or the ordinary occurrences of life.

  • Recurrent
  • a.

    Running back toward its origin; as, a recurrent nerve or artery.

  • Occurrent
  • n.

    Anything that happens; an occurrence.

  • Recumbence
  • n.

    The act of leaning, resting, or reclining; the state of being recumbent.

  • Recurrent
  • a.

    Returning from time to time; recurring; as, recurrent pains.

  • Recurrency
  • n.

    The act of recurring, or state of being recurrent; return; resort; recourse.