Examples of using Polynomials in English and their translations into Romanian
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Using affine invariant polynomials a complete classification of all finite weak singularities or the family of quadratic systems of differential equations has been done.
The Mandelbrot set can also be defined as the connectedness locus of the family of polynomials.
Finally, the coefficients of the polynomials need not be drawn from integers,
Polynomials represent a central object of study in several important areas of Mathematics, like Commutative Algebra, Algebraic Geometry,
The method of partial fractions in integration allows us to integrate all rational functions( fractions of two polynomials).
factorization of large numbers, manipulation of extremely large polynomials, etc.
The utility recognizes polynomials, algebraic equations,
Essentially the Weierstrass transform thus turns a series of Hermite polynomials into a corresponding Maclaurin series.
It also remains an unsolved problem to characterize graphs which have the same chromatic polynomial and to determine which polynomials are chromatic.
For example, Fourier polynomials can be interpreted as the characters of U(1),
The probabilists Hermite polynomials are solutions of the differential equation: where λ is a constant, with the boundary conditions that u
For real quadratic polynomials, this question was answered positively in the 1990s independently by Lyubich
The probabilists Hermite polynomials satisfy the identity:
Polynomials in a single variable x can be added,
orthogonal polynomials, elliptic functions, and algebra.
Asteroid 8677 Charlier Charlier polynomials.
are the Lagrange polynomials for formula_5 and formula_6, respectively.
such as knots and multivariate polynomials.
the symmetry as applied to monomials, so that one can take polynomials in the xi as a domain.
In 1829, Charles Sturm showed that the algorithm was useful in the Sturm chain method for counting the real roots of polynomials in any given interval.