Speed Explorers

fast,slow

fast,quickly

<p>slow,fast</p> Signup and view all the answers

<p>An even function is a function that satisfies the symmetry relation $f(x) = f(-x)$. It is named after the parity of the powers of the power functions.</p> Signup and view all the answers

<p>An odd function is a function that satisfies the symmetry relation $f(x) = -f(-x)$. It is named after the parity of the powers of the power functions.</p> Signup and view all the answers

<p>Evenness and oddness are generally considered for real functions, that is, real-valued functions of a real variable.</p> Signup and view all the answers

<p>Yes, evenness and oddness can be defined for functions with domains and codomains that have a notion of additive inverse, such as abelian groups, rings, fields, and vector spaces.</p> Signup and view all the answers

<p>An example of an even function is $f(x) = x^2$, where $n$ is an even integer.</p> Signup and view all the answers

<p>Parity is the property of an integer of whether it is even or odd.</p> Signup and view all the answers

<p>An integer is even if it is a multiple of two, and odd if it is not.</p> Signup and view all the answers

<p>The parity of zero is even.</p> Signup and view all the answers

<p>Yes, even and odd numbers have opposite parities.</p> Signup and view all the answers

<p>A number (i.e., integer) expressed in the decimal numeral system is even or odd according to whether its last digit is even or odd.</p> Signup and view all the answers

<p>A magic square is a square array of numbers, usually positive integers, where the sums of the numbers in each row, each column, and both main diagonals are the same.</p> Signup and view all the answers

<p>The order of a magic square is the number of integers along one side.</p> Signup and view all the answers

<p>The magic constant of a magic square is the constant sum of the numbers in each row, each column, and both main diagonals.</p> Signup and view all the answers

<p>A normal magic square is a magic square that includes just the positive integers 1 , 2 , ..., n^2.</p> Signup and view all the answers

<p>A trivial magic square is a magic square that includes repeated entries.</p> Signup and view all the answers