College AlgebraScott, Foresman, 1901 - 777 páginas |
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Página 84
... objects of the groups , this relation of a group A E B D C b group the two groups to each other is indicated by the symbolical relation , for example , @ = b ; 5 = 5 , = is read If the first which is called an 14 84 COLLEGE ALGEBRA [ 000.
... objects of the groups , this relation of a group A E B D C b group the two groups to each other is indicated by the symbolical relation , for example , @ = b ; 5 = 5 , = is read If the first which is called an 14 84 COLLEGE ALGEBRA [ 000.
Página 18
... indicates that all within it is to be treated as a single number . s will be the numerical sum of the groups 1 , 2 , 3 , etc. , that is , the number corresponding to the group d . a1 b2 b3 C3 d The sum - group is found by joining the ...
... indicates that all within it is to be treated as a single number . s will be the numerical sum of the groups 1 , 2 , 3 , etc. , that is , the number corresponding to the group d . a1 b2 b3 C3 d The sum - group is found by joining the ...
Página 19
... indicates the number of 5's taken . read the product of five by seven or seven times five . Similarly , the sum of b numbers each equal to a is the product of a by b , and is written a b or ab or simply ab . Multiplication is the ...
... indicates the number of 5's taken . read the product of five by seven or seven times five . Similarly , the sum of b numbers each equal to a is the product of a by b , and is written a b or ab or simply ab . Multiplication is the ...
Página 21
... indicates the number of times 4 is used as a fac- tor , and is called the exponent of 4 for this product . Similarly ... indicate the number of times it is used as a factor . Thus : a is written a1 , and read a first , or a to the first ...
... indicates the number of times 4 is used as a fac- tor , and is called the exponent of 4 for this product . Similarly ... indicate the number of times it is used as a factor . Thus : a is written a1 , and read a first , or a to the first ...
Página 23
... indicated in 8 . 15. An algebraic expression is said to be homogeneous when all its terms are of the same degree or dimensions . Thus 5a3a2b3 + 9a be2 is homogeneous , for each term is of five dimensions . 16. Addition of Similar ...
... indicated in 8 . 15. An algebraic expression is said to be homogeneous when all its terms are of the same degree or dimensions . Thus 5a3a2b3 + 9a be2 is homogeneous , for each term is of five dimensions . 16. Addition of Similar ...
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Términos y frases comunes
a₁ algebraic Arithmetic ax² b₁ binomial binomial theorem C₁ coefficients common divisor convergent corresponding cube root decimal definition determinant difference divided division dollars equal equivalent EXAMPLE EXERCISE exponent expression factors Find the number finite formula fraction given equation greater greatest common divisor Hence imaginary inequality logarithm mantissa mathematical induction monomial Multiply negative number nth root number of terms obtained P₁ polynomial positive integers positive number preceding problem proved quadratic equation quotient rational remainder result rule satisfied second member Simplify solution Solve the equations square root Substitute subtraction Suppose surd symbols system of equations theorem third tion triangle trinomial unknown numbers unknown quantities values zero
Pasajes populares
Página 212 - Nos. 1 and 2, 3 and 4, 5 and 6, 7 and 8, 9 and 10, 11 and 12.
Página 664 - Q(x) to obtain a quotient (polynomial of the form -Q ) plus a rational function (remainder divided by the divisor) in which the degree of the numerator is less than the degree of the denominator.
Página 586 - What will $ 100 amount to in 7 years with interest at 8% per annum, compounded semi-annually ? 3. In how many years will a sum of money double itself at 6%, compounded annually ? 4.
Página 77 - Raise the absolute value of the numerical coefficient to the required power, and multiply the exponent of each letter by the exponent of the required power.
Página 69 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 60 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Página 568 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 586 - June, 1889.) 1. In how many years will a sum of money double itself at 4 per cent., interest being compounded semi-annually ? 2.
Página 198 - A Solution of a system of simultaneous equations is a set of values of the unknown numbers which satisfies all of the equations.
Página 78 - The product of the sum and difference of two numbers is equal to the difference of their squares.