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10 results for “rms”

Formulae (9)

(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k

Expands any power of a binomial into a sum of terms.

S_n = \frac{n}{2}(a_1 + a_n)

Sum of the first n terms of an arithmetic sequence.

S_n = a_1 \frac{1 - r^n}{1 - r}

Sum of the first n terms of a geometric sequence (r ≠ 1).

S_n = a\frac{1-r^n}{1-r}

Sum of the first n terms of a geometric series.

\tan\theta = \frac{\sin\theta}{\cos\theta}

Defines tangent in terms of sine and cosine.

RMSE = \sqrt{\frac{1}{n}\sum_{i=1}^{n}(y_i - \hat{y}_i)^2}

Square root of MSE, in the same units as the target variable.

v_{rms} = \sqrt{\frac{3RT}{M}}

Root-mean-square speed of gas molecules.

V_{rms} = \frac{V_{peak}}{\sqrt{2}}

Effective value of a sinusoidal voltage.

GDP = C + I + G + (X - M)

National output measured as total spending by households, firms, government and net exports.

Multiply two binomials by combining First, Outer, Inner, Last terms.