My usual approach is a'substitution'method where I take the leading coefficient and multiply it into the whole equation to obtain a result:
22.
If the leading coefficient is positive, then the function increases to positive infinity at both sides; and thus the function has a global minimum.
23.
Then let h \ in \ mathfrak a \ setminus \ mathfrak a ^ * be of minimal degree, and denote its leading coefficient by a.
24.
Chebyshev polynomials are polynomials with the largest possible leading coefficient, but subject to the condition that their absolute value on the interval is bounded by 1.
25.
First of all, the polynomials defined by the recurrence relation starting with p _ 0 ( x ) = 1 have leading coefficient one and correct degree.
26.
All of whose non-leading coefficients are divisible by by properties of binomial coefficients, and whose constant coefficient equal to, and therefore not divisible by.
27.
In this way, simply counting the sign changes in the leading coefficients in the Sturm chain readily gives the number of distinct real roots of a polynomial.
28.
The same is also true for the integer coefficients of the polynomial remainders in a modified subresultant prs, provided that the leading coefficient of f is 1.
29.
More precisely, the conjecture predicts the leading coefficient of the L-function at an integer point in terms of regulators and a height pairing on motivic cohomology.
30.
Where n is the degree, a the leading coefficient and z _ 1, \ dots, z _ n the zeros of the polynomial ( not necessarily distinct ).
