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3 days ago · A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.
6 days ago · The function f(t) is not a rational function because the denominator is not a polynomial. On the other hand, the function g ( y ) can be rewritten as a fraction with numerator 3 y and denominator ( y +1)( y +1), both of which are polynomials, so it is a rational function.
4 days ago · In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
3 days ago · Instead, the goal is to obtain a bijective function from the set of integers to the set of even integers: \[f(n)=2n, \ n \in \mathbb{Z}.\] The function above gives a one-to-one correspondence between each integer \(n\) and each even integer \(2n.\)
5 days ago · Find and simplify the difference quotient. In problems like this, be careful to form the composition f ( x + h) correctly, and be sure that the minus sign in the numerator is applied to the entire function f ( x ). Be sure you've gone through each step in the examples above before doing these.
3 days ago · Let $f$ be a Lipschitz function with $|\nabla f| = 1$ almost everywhere. Let $\varepsilon \geq 0$. What is the supremal Hausdorff dimension of the set on which $f$ is differentiable with $\varepsil...
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3 days ago · Introduction to Linear Algebra with Mathematica. Glossary. Preface. This section is devoted to periodic extensions of functions defined on some finite interval. Since classical Fourier series provide periodic extensions, we need to compare it with corresponding periodic extension of the original function. Periodic Extension.
