A scalar multiplying a specified term in a linear combination, polynomial or power series. When the term family has linear independence, the coefficients are unique; uniqueness of finite Laurent polynomial coefficients follows after multiplying by a sufficiently large power to obtain an ordinary polynomial.
Ancestors (7)
Incoming links (247)
- Adler trace
- Algebraic notation
- Aliasing of discrete Fourier modes
- Asymptotic power series
- Asymptotic sequence
- Basis
- Bernoulli number
- Bernstein polynomial degree preservation
- Bivector
- Boundary-matrix construction of an ordinary differential Green function
- Cauchy-Hadamard theorem
- Change of basis
- Classical Gram-Schmidt
- Coefficient
- Coefficient condition number of a normalized B-spline basis
- Coefficient-dominated entrywise positivity
- Coefficient recovery and factorial moments of a probability generating function
- Compact-support spline zero count
- Complement symmetry of Gaussian binomial coefficients
- Completing the square
- Complex conjugate roots in Vieta's formulas
- Complex scalar mode inversion
- Conic Carathéodory theorem
- Conic combination
- Conjugate symmetry of trigonometric polynomial coefficients
- Control point
- Control-point influence on a curve
- Convex combination
- Convex combinations in a triangle
- Convex hull
- Coordinate vector
- Cotangent coefficient proof of the even zeta values
- De Boor–Fix spline coefficient functional
- Decoupled coefficients of orthogonal polynomial projections
- Degree drop in a specialized resultant
- Degree of a polynomial
- Discrete Fourier transform
- Divide-and-conquer product ledger
- Effective operator
- Elementary symmetric polynomial
- Eliminating a variable with a resultant
- Equal-amplitude states of an eight-mode square pattern
- Euler evaluation of even zeta values
- Exponential generating function
- Expression (mathematics)
- Exterior algebra
- Exterior product
- Factorization of polynomials
- Farkas' lemma
- Fast Fourier transform
- Field with four elements
- Finite element solution of the one-dimensional Poisson equation
- Finite field
- Formal pseudodifferential composition rule
- Formal pseudodifferential operator
- Formal pseudodifferential residue
- Formal pseudodifferential wave function
- François Viète
- Gaussian binomial coefficient
- Gaussian binomial coefficient recurrence
- Generating function
- Gram-Schmidt process
- Hamiltonian trace functional on monic differential operators
- Hermitian operator
- Hilbert space
- History of Vieta's formulas
- Horner's method
- Inner product
- Integer-coefficient polynomial approximation
- Integer coefficients with a prescribed radius of convergence
- Integer partition
- Krivine rounding scheme
- Leading Taylor term
- Legendre least-squares projections of a cubic
- Lenard-Magri recursion
- Linear combination
- Linear dependence
- Linear differential equation
- Linear independence
- Linear independence depends on the scalar field
- Local linear independence of B-splines
- Matrix similarity invariants
- Modified Gram-Schmidt
- Newton polynomial
- Newton's identities
- Nonlinear ordinary differential equation
- Optimal spline coefficient interpolation sites
- Optimal truncation
- Order filtration of formal pseudodifferential operators
- Orthogonal polynomial
- Partition interpretation of Gaussian binomial coefficients
- Pascal's triangle
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- Phase-diffusion coefficient from a Bloch cell problem
- Piecewise-linear hat function
- Polynomial
- Polynomial division
- Polynomial function
- Polynomial identity testing
- Polynomial identity testing over a finite field
- Positive lacunary trigonometric series
- Power series
- Prime-regular subgraph from Boolean polynomial constraints
- Probability generating function of an independent random sum
- Probability generating function of an independent sum
- QR decomposition
- QR decomposition by Givens rotations
- Quadratic profiles for nonlinear diffusion with constant loss
- Radius of convergence
- Rank-one spectral-factor Gram matrix
- Reciprocal-conjugate root pairing
- Redistribution of polynomial factors for dice
- Repeated roots in Vieta's formulas
- Restricted sumset bound for unequal subsets of a prime field
- Resultant
- Root sensitivity in power-sum reconstruction
- Rounded Bernstein polynomial
- Stable construction of a Givens rotation
- Sylvester matrix
- Symmetry of divided differences
- System of linear equations
- Translation invariants of Fourier-mode phases
- Trigonometric series
- Truncated binomial cube root of the identity plus a nilpotent matrix
- Uniqueness of linear combination coefficients
- Univariate polynomial
- Vector space
- Vector space bases from Zorn's lemma
- Vertex form of a quadratic
- Vieta formulas for a cubic
- Vieta's formulas
- Weierstrass approximation theorem
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