# College Algebra (Google eBook)

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Page 196 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Page 160 - The Integral Part of a logarithm is called the Characteristic, and the decimal part the Mantissa.
Page 158 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 215 - The value of one of the variables in the solution of n linear equations in n variables consists of a fraction whose denominator is the determinant of the system and whose numerator is...
Page 98 - Newton discovered, as a fundamental law of nature, that every particle attracts every other particle with a force which varies directly as the product of the masses and inversely as the square of the distance between them.
Page 158 - Prop. 4.  The logarithm of any root of a number is the logarithm of the number divided by the number expressing the degree of the root. DEM.  Let a be the base, and x the logarithm of m. Then ar=m. Extracting the £th root we have a"= ^/m.
Page 7 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Page 115 - Thus ike modulus of the product of two complex numbers is the product of their moduli, and the argument of the product is the sum of their arguments.
Page 161 - The characteristic of a number less than 1 is found by subtracting from 9 the number of ciphers between the decimal point and the first significant digit, and writing  10 after the result.
Page 6 - The value of a fraction is not changed by multiplying or dividing both the numerator and denominator by the same number.