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In mathematics, a polynomial is a mathematical 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 is x2 − 4x + 7.
In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer .
Specialty. Medical genetics. A trisomy is a type of polysomy in which there are three instances of a particular chromosome, instead of the normal two. [1] A trisomy is a type of aneuploidy (an abnormal number of chromosomes).
Down syndrome or Down's syndrome, also known as trisomy 21, is a genetic disorder caused by the presence of all or part of a third copy of chromosome 21. It is usually associated with developmental delays, mild to moderate intellectual disability, and characteristic physical features.
where. a 1 + a 2 = r a 1 ⋅ a 2 = s . {\displaystyle {\begin {aligned}a_ {1}+a_ {2}&=r\\a_ {1}\cdot a_ {2}&=s.\end {aligned}}} For instance, the polynomial x2 + 3x + 2 is an example of this type of trinomial with n = 1. The solution a1 = −2 and a2 = −1 of the above system gives the trinomial factorization: x2 + 3x + 2 = (x + a1) (x + a2 ...
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the matrix among its coefficients.
Trigonometric definition. As described in the introduction, the Chebyshev polynomials of the first kind can be defined as the unique polynomials satisfying: or, in other words, as the unique polynomials satisfying: for n = 0, 1, 2, 3, … . The polynomials of the second kind satisfy:
Trisomy 18 is a chromosomal abnormality characterized by the presence of an extra copy of genetic material on the 18th chromosome, either in whole (trisomy 18) or in part (such as due to translocations).
trisomy: Three copies of a chromosome, 2n + 1: Down syndrome (Trisomy 21), Edwards syndrome (Trisomy 18), or Patau syndrome (Trisomy 13) 4: tetrasomy: Four copies of a chromosome, 2n + 2: Tetrasomy 9p, Tetrasomy 18p: 5: pentasomy: Five copies of a chromosome, 2n + 3: Pentasomy X (XXXXX or 49, XXXXX) 6: hexasomy: Six copies of a chromosome, 2n + 4
In mathematics, a polynomial transformation consists of computing the polynomial whose roots are a given function of the roots of a polynomial. Polynomial transformations such as Tschirnhaus transformations are often used to simplify the solution of algebraic equations.