numberOfRealRootsInInterval

Number of distinct real roots of a univariate polynomial in
 a given interval.

Computation of resultant, subresultants, greatest common divisor,
integral division (aka division without remainder) of two multivariate polynomials
with rational coefficients, Sturm-Habicht sequence and square-free
factorization of a multivariate polynomial with rational coefficients.
The computations are performed by the 'C++' library 'CGAL'
(<https://www.cgal.org/>). Resultants have applications in polynomial
systems solving, number theory, and algebraic geometry. The package
also contains some functions computing the number of real roots of a
univariate polynomial with rational coefficients, and a function computing
the division with remainder of two univariate polynomials with rational
coefficients.

Stc3<a9>phane Laurent

resultant

Utilities for Multivariate Polynomials with Rational
Coefficients

Stéphane Laurent

numberOfRealRootsInInterval function

<dl><dt>qspray</dt>
<dd>a univariate <code>qspray</code> polynomial</dd>
<dt>lower, upper</dt>
<dd>the bounds of the interval, <code>bigq</code> numbers or
objects coercible to <code>bigq</code> numbers, and it is also possible to set
<code>lower = -Inf</code> and <code>upper = Inf</code></dd>
<dt>closed</dt>
<dd>Boolean, whether to consider the interval is closed or open</dd></dl>

Arguments

Number of real roots in an interval — numberOfRealRootsInInterval

<dl>

<dt>qspray</dt>
<dd>a univariate <code>qspray</code> polynomial</dd>


<dt>lower, upper</dt>
<dd>the bounds of the interval, <code>bigq</code> numbers or
objects coercible to <code>bigq</code> numbers, and it is also possible to set
<code>lower = -Inf</code> and <code>upper = Inf</code></dd>


<dt>closed</dt>
<dd>Boolean, whether to consider the interval is closed or open</dd>

</dl>

numberOfRealRootsInInterval: Number of real roots in an interval

Description

Usage

Value

Arguments

Examples