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Square root. Notation for the (principal) square root of x. For example, √ 25 = 5, since 25 = 5 ⋅ 5, or 52 (5 squared). In mathematics, a square root of a number x is a number y such that ; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x. [1] For example, 4 and −4 are square roots of 16 ...
The nickname Mastodon is often mistakenly used to describe the 4-8-0 wheel arrangement and was derived from the unofficial name of the first 4-8-0 locomotive of the Central Pacific Railroad in the United States, the wood-fired CPR no. 229, which was designed and built in 1882 by the railroad's master mechanic, Andrew Jackson (A.J.) Stevens, at ...
A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...
Numbers. 229; renum. 1950 in 1891; renum. 2800 in 1901; renum. 2925 in 1906. Nicknames. Mastodon. First run. April 1882. Scrapped. June 29, 1935, Brooklyn shops, Portland, Oregon. Mastodon was the unofficial name of the Central Pacific Railroad 's number 229, the world's first successful 4-8-0 steam locomotive.
More generally, we find that + + + + is the positive real root of the equation x 3 − x − n = 0 for all n > 0. For n = 1 , this root is the plastic ratio ρ , approximately equal to 1.3247. The same procedure also works to get
Track gauge. 4 ft 8 + 1⁄2 in (1,435 mm) The Monon Railroad (reporting mark MON), also known as the Chicago, Indianapolis, and Louisville Railway (reporting mark CIL) from 1897 to 1971, was an American railroad that operated almost entirely within the state of Indiana. The Monon was merged into the Louisville and Nashville Railroad in 1971 ...
An n×n matrix with n distinct nonzero eigenvalues has 2 n square roots. Such a matrix, A, has an eigendecomposition VDV−1 where V is the matrix whose columns are eigenvectors of A and D is the diagonal matrix whose diagonal elements are the corresponding n eigenvalues λi. Thus the square roots of A are given by VD1/2 V−1, where D1/2 is ...
In mathematics, the root mean square (abbrev. RMS, RMS or rms) of a set of numbers is the square root of the set's mean square. [1] Given a set , its RMS is denoted as either or . The RMS is also known as the quadratic mean (denoted ), [2][3] a special case of the generalized mean. The RMS of a continuous function is denoted and can be defined ...