A College Algebra |
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Common terms and phrases
A₁ algebraic arithmetical b₁ Binomial Theorem chance of throwing commensurable common logarithms compound interest constant continued fraction COROLLARY D₁ D₂ decimal denominator denote differences differential divided division divisor equal equivalent event evidently EXAMPLE EXERCISE exponent expression factors find the chance Find the number finite formula geometrical progression given log Hence identity imaginary increases infinite series integral loga logarithms mantissa monomial Multiplying negative nth term number of balls obtain p₁ partial fractions permutations powers quadratic equation quotient ratio real roots recurring series remainder scale of relation series is convergent series is divergent solution Solve square pile square root Sturm's theorem Substituting these values Subtracting surd triangular pile u₁ U₂ unity unknown quantities variable whole number zero
Popular passages
Page 108 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 195 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 219 - To find the amount of an annuity left unpaid for a given number of years, allowing compound interest. Let A be the annuity, R the amount of $1 for one year, n the number of years, M the amount.
Page 230 - From 12 books in how many ways can a selection of 5 be made, (1) when one specified book is always included, (2) when one specified book is always excluded ? (1) Since the specified book is to be included in every selection, we have only to choose 4 out of the remaining 11. Hence the number of ways...
Page 107 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 114 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1 Ib.
Page 19 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 1 - To measure a quantity is to find how many times it contains another quantity of the same kind, called a unit of measurement.
Page 224 - The Fundamental Principle of Counting states that if one thing can be done in a different ways and, when it is done in any one of these ways, a second thing can be done in b different ways...
Page 232 - 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...