What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
Common terms and phrases
a₁ adding applying approach arranged assign b₁ b₂ called chance changed coefficients common factor complex constant contains continued convergent corresponding defined definition denominator denote derive determinant divide divisible equal equation exactly Example EXERCISE expression factor figure finite formula four fraction function given graph greater Hence identity increases indicate infinite integral involve irrational less letters limit logarithms mean method multiply namely negative Observe obtain occur pair particular polynomial positive possible powers preceding prime progression proved quotient rational reckoning reduced remainder respectively result roots rule sequence Show simple single solution Solve square Substituting subtraction suppose theorem third tion transformed true values vanishes variable write
Page 96 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Page 493 - Theorem 4. If all the elements of a row (or column) are multiplied by the same number, as k, the determinant is multiplied by k. For...
Page 104 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 530 - For if we picture complex numbers by points in a plane in the manner described in § 238 and draw a circle whose center is at the origin and whose radius is...
Page 114 - Transpose the unknown terms to the first member, and the known terms to the second. Unite the similar terms, and divide both members by the coefficient of the unknown quantity.
Page 427 - In every algebraic equation, the coefficient of whose highest term is unity, the coefficient pi of the second term with its sign changed is equal to the sum of the roots. The coefficient...
Page 372 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 444 - Suppose now a polynomial formed of the product of the factors corresponding to the negative and imaginary roots of an equation ; the effect of multiplying this by each of the factors x - a, x...
Page 21 - ... 1. a + b = b + a. 2. a + (b + c) = (a + b) + c.
Page 227 - It must not be inferred, from what has just been said, that the conqueror can have no control or government of hostile territory, unless he occupies it with an armed force.