100 English words for 'A theorem expressing the number of distinct real roots of p located in an interval in terms of the number of changes of signs of the values of the Sturm sequence at the bounds of the interval. Applied to the interval of all the real numbers, it gives the total number of real roots of p.'

Sturm's theorem

Gauss-Lucas theorem

Fermat's little theorem

Euler's criterion

imaginary number

complex number

complex quantity

imaginary

continuum hypothesis

Hjelmslev's theorem

p-adic absolute value

Gougu rule

number

Gougu theorem

MRDP theorem

numerable

complexification

Ax-Kochen theorem

p-adic number

hypercomplex number

genus

posynomial

real number line

Pythagorean theorem

complex conjugate root theorem

open interval

hailstone number

p-adic ultrametric

quadratic form

Harnack's curve theorem

eigencurve

multiformula

anticonfined

rational root theorem

conchoid

algebraic number

harmonic number

real vector space

semicubical

rational function

majorization

P-complete

zenzic

splitting field

valuation

Dirichlet series

Abel polynomial

semilandmark

number-theoretic function

trilogarithm

sedenion

Narayana number

algebraic integer

prime number theorem

threefold

hyperbolic polynomial

Pell number

diazoamino compound

p-adic norm

root mean square

complex

idealizer

Størmer's theorem

Frobenius endomorphism

Kummer ring

quaternion

Slutsky's theorem

mathematical induction

half-open

Pythagorean proposition

equivalence

interval

hyperbolic quaternion

Cantor-Bendixson theorem

quadratic reciprocity

irrational number

irrational

Cantor's theorem

Ax-Grothendieck theorem

Brouwer fixed-point theorem

Euclidean norm

p-adic ordinal

real analysis

step function

Sylvester-Gallai theorem

law of cosines

adjoint

Sturm sequence

conjugate

pseudocomplex

Legendre symbol

p-adic

de Bruijn-Erdős theorem

number line

noninteger

affine

subcountable

radicand

three-space