Advanced Algebra for Colleges and SchoolsAmerican Book Company, 1902 - 608 páginas |
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Página 5
... EXPONENTS RADICALS · REVIEW QUADRATIC EQUATIONS GENERAL REVIEW RATIO AND PROPORTION VARIATION 45 71 87 27235 PAGE 7 12 21 90 108 115 126 133 . 160 163 186 214 221 239 250 274 278 316 325 338 PAGE PROGRESSIONS 344 IMAGINARY AND COMPLEX ...
... EXPONENTS RADICALS · REVIEW QUADRATIC EQUATIONS GENERAL REVIEW RATIO AND PROPORTION VARIATION 45 71 87 27235 PAGE 7 12 21 90 108 115 126 133 . 160 163 186 214 221 239 250 274 278 316 325 338 PAGE PROGRESSIONS 344 IMAGINARY AND COMPLEX ...
Página 12
... exponent , ' ' + , ' ' - , ' etc. , must now be extended in meaning and application . For example , in an arithmetical sense 8 cannot be subtracted from 5 , nor does 83 have any meaning ; but in an algebraic sense , as will be shown ...
... exponent , ' ' + , ' ' - , ' etc. , must now be extended in meaning and application . For example , in an arithmetical sense 8 cannot be subtracted from 5 , nor does 83 have any meaning ; but in an algebraic sense , as will be shown ...
Página 15
... Exponent of the power thus indicated . The integers that the student has been using in arithmetic have been positive integers . When the exponent is a positive integer , it indicates the num- ber of times that the number is to be used ...
... Exponent of the power thus indicated . The integers that the student has been using in arithmetic have been positive integers . When the exponent is a positive integer , it indicates the num- ber of times that the number is to be used ...
Página 16
William James Milne. The terms coefficient and exponent should be carefully distin- guished . Thus , 5 a = a + a + a + a + a , but a5 — a × a × a × a × a . 26. One of the equal factors of a number is called a Root of the number . 5 is a ...
William James Milne. The terms coefficient and exponent should be carefully distin- guished . Thus , 5 a = a + a + a + a + a , but a5 — a × a × a × a × a . 26. One of the equal factors of a number is called a Root of the number . 5 is a ...
Página 18
... exponents , are called Dissimilar Terms . 5a and 3 by are dissimilar terms ; also 3 a2b and 3 ab2 . 34. Each literal factor of a term is called a Dimension of the term . The number of literal factors or dimensions of a term indicates ...
... exponents , are called Dissimilar Terms . 5a and 3 by are dissimilar terms ; also 3 a2b and 3 ab2 . 34. Each literal factor of a term is called a Dimension of the term . The number of literal factors or dimensions of a term indicates ...
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Términos y frases comunes
a²b² a²x² ab² absolutely convergent algebraic sum arithmetical means arithmetical progression ax² binomial called cents coefficients column Commutative Law complex numbers continued fraction convergent convergent series cube root denominator difference digits divided dividend divisible established as follows EXAMPLES exponent expression factor Find the sum Find the value finite formula function geometrical mean geometrical progression geometrical series given equation Hence highest common divisor imaginary numbers inequality integer last term limit logarithm multiplied negative number nth root number of terms numerically less obtained polynomial positive integer positive number positive root PRINCIPLE quadratic quotient ratio real number reduced remainder represent result second term SOLUTION square root Substituting subtracted surd third Transposing twice units unknown number variable x²y x²y²
Pasajes populares
Página 212 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 343 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 435 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Página 424 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Página 40 - The process of changing a term from one member of an equation to the other is called Transposition.
Página 331 - PRINCIPLE 7. — If four numbers are in proportion, the. difference between the terms of the first ratio is to either term of the first ratio as the difference between the terms of the second ratio is to the corresponding term of the second ratio ; that is, the numbers are in proportion by Division.
Página 323 - A farmer has two cubical granaries. The side of one is 3 yards longer than the side of the other, and the difference in their solid contents is 117 cubic yards.
Página 426 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.