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In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power (+) expands into a polynomial with terms of the form , where the exponents and are nonnegative integers satisfying + = and the coefficient of each term is a specific positive integer ...
However, when (n + 1)p is an integer and p is neither 0 nor 1, then the distribution has two modes: (n + 1)p and (n + 1)p − 1. When p is equal to 0 or 1, the mode will be 0 and n correspondingly. These cases can be summarized as follows:
N: 1 1 Amount of substance n: mol N Temperature: T: K Θ Heat Energy: Q, q: J ML 2 T −2: Latent heat: Q L: J ML 2 T −2: General derived quantities. Quantity ...
In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.
Composite Simpson's 3/8 rule is even less accurate. Integration by Simpson's 1/3 rule can be represented as a weighted average with 2/3 of the value coming from integration by the trapezoidal rule with step h and 1/3 of the value coming from integration by the rectangle rule with step 2h. The accuracy is governed by the second (2h step) term.
The Colts scored a touchdown on a 3-yard pass from Richardson to Alec Pierce to make it a 24–23 game. Coach Shane Steichen opted for the 2-point play after a grueling 19-play, 80-yard drive that ...
The drive stalled at the 25-yard line but on fourth-and-7, ... Ole Miss went 0-for-3 inside the 20-yard line, while Florida went 2-for-2. Show comments. Advertisement. Advertisement.
where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = 1 / 6 , B 4 = − + 1 / 30 , and so on. Setting f ( x ) = x , the first derivative of f is 1, and every other term vanishes, so [ 15 ]