## College Algebra |

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### Common terms and phrases

algebra arithmetical means arithmetical progression Article assume binomial binomial theorem called coefficients column common logarithms complex numbers corresponding definition degree denominator determinant divergent divided equa equivalent example EXERCISES expansion factor x feet following equations formula fractional exponents function geometrical progression graph graphically harmonical means Hence imaginary inches increases without limit inequality infinite series inversely isin linear equations logarithms logio mantissa mathematical mathematical induction means method multiplied negative number negative roots number of permutations number system obtain operations pair partial fractions polynomial positive integers positive number positive roots problems quadratic equation quadratic function quotient radical sign radicand ratic rational roots real numbers real roots represent satisfy series is convergent solution Solve square substitution subtract symbol synthetic division system of equations theorem tion unknowns values variable write X-axis zero

### Popular passages

Page 154 - The integral part of a logarithm is called the characteristic and the decimal part is called the mantissa.

Page 213 - 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 152 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.

Page 95 - 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 9 - 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 99 - Elements of an arithmetical progression. Let a represent the first term, d the common difference, n the number of terms considered, I the nth, or last term, and s the sum of the sequence.

Page 112 - 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 99 - Arithmetical means. The first and last terms of an arithmetical progression are called the extremes, while the remaining terms are called the arithmetical means. To insert a given number of arithmetical means between two numbers it is only necessary to determine d by the use of equation (1) and to write down the terms by the repeated addition of d.

Page 155 - 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 96 - The duration of a railway journey varies directly as the distance and inversely as the velocity. The velocity varies directly as the square root of the quantity of coal used per mile and inversely as the number of carriages in the train. In a journey of 25 miles in half an hour with 18 carriages 1ocwt.