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Σελίδα 321 - Therefore the number of permutations of n things taken r at a time is n(n -l)1n — 2)-.(n — r + 1).
Σελίδα 300 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Σελίδα 169 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive. INVOLUTION OF MONOMIALS. 187. From definition -we have, by the rules of multiplication, (a2)* = a1 . a
Σελίδα 330 - Simoom, so that vowels and consonants occur alternately in each word ? 4. A telegraph has 5 arms, and each arm has 4 distinct positions, including the position of rest : find the total number of signals that can be made.
Σελίδα 353 - The logarithm of a product is the sum of the logarithms of its factors.
Σελίδα 185 - The sixth root of an expression is found by taking the cube root of the square root, or the square root of the cube root.
Σελίδα 354 - DEFINITION. The integral part of a logarithm is called the characteristic, and the decimal part, when it is so written that it is positive, is called the mantissa.
Σελίδα 102 - DEFINITION. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest dimensions which is divisible by each of them without remainder. The abbreviation L.
Σελίδα 324 - From 7 Englishmen and 4 Americans a committee of 6 Is to be formed: in how many ways can this be done, (1) when the committee contains exactly 2 Americans, (2) at least 2 Americans ? (1...
Σελίδα 291 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.

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