A Higher AlgebraGinn, 1891 - 521 σελίδες |
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Σελίδα
George Albert Wentworth. CHAPTER PAGE XXIII . PROGRESSIONS 295 XXIV . INDETERMINATE COEFFICIENTS 312 XXV . BINOMIAL THEOREM 319 XXVI . COMMON LOGARITHMS 331 XXVII . INTEREST AND ANNUITIES 346 XXVIII . CHOICE 356 XXIX . CHANCE 377 · XXX ...
George Albert Wentworth. CHAPTER PAGE XXIII . PROGRESSIONS 295 XXIV . INDETERMINATE COEFFICIENTS 312 XXV . BINOMIAL THEOREM 319 XXVI . COMMON LOGARITHMS 331 XXVII . INTEREST AND ANNUITIES 346 XXVIII . CHOICE 356 XXIX . CHANCE 377 · XXX ...
Σελίδα
George Albert Wentworth. CHAPTER PAGE XXIII . PROGRESSIONS 295 · XXIV . INDETERMINATE COEFFICIENTS 312 XXV . BINOMIAL THEOREM 319 XXVI . COMMON LOGARITHMS 331 XXVII . INTEREST AND ANNUITIES 346 XXVIII . CHOICE 356 XXIX . CHANCE . 377 XXX ...
George Albert Wentworth. CHAPTER PAGE XXIII . PROGRESSIONS 295 · XXIV . INDETERMINATE COEFFICIENTS 312 XXV . BINOMIAL THEOREM 319 XXVI . COMMON LOGARITHMS 331 XXVII . INTEREST AND ANNUITIES 346 XXVIII . CHOICE 356 XXIX . CHANCE . 377 XXX ...
Σελίδα
... coefficient and exponent must be care- fully distinguished . Thus , If a -3 , 42 = = a + a + a - a . = axax a x a 3 = 12 4a = 3 + 3 3 + d = 3x3x3x3 = 81 . The second power of a number is generally called the square of that number ; thus ...
... coefficient and exponent must be care- fully distinguished . Thus , If a -3 , 42 = = a + a + a - a . = axax a x a 3 = 12 4a = 3 + 3 3 + d = 3x3x3x3 = 81 . The second power of a number is generally called the square of that number ; thus ...
Σελίδα 7
... x 4 = 24 ; a + b + c = 2 + 3 + 4 = 9 . Factors expressed by letters are called literal factors ; factors expressed by figures are called numerical factors . 17. Coefficients . A known factor of a product which DEFINITIONS . 7.
... x 4 = 24 ; a + b + c = 2 + 3 + 4 = 9 . Factors expressed by letters are called literal factors ; factors expressed by figures are called numerical factors . 17. Coefficients . A known factor of a product which DEFINITIONS . 7.
Σελίδα 8
... coefficient . Thus , in 7c , 7 is the coefficient of c ; in 7ax , 7 is the coefficient of ax , or , if a is known , 7a is the coefficient of x . By coefficient , we generally mean the numerical coeffi- cient with its sign . If no ...
... coefficient . Thus , in 7c , 7 is the coefficient of c ; in 7ax , 7 is the coefficient of ax , or , if a is known , 7a is the coefficient of x . By coefficient , we generally mean the numerical coeffi- cient with its sign . If no ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a₁ a²b² ab² ab³ algebraic arithmetical arithmetical mean arithmetical series arrangements ax² b₁ binomial c₁ called cent coefficient cologarithm column common factor common logarithms Complete the square complex number contain continued fraction convergent cube root d₁ decimal denominator denote determinant digits divided divisible divisor equal Exercise exponent expression Extract the square Find the H. C. F. Find the number Find the sum Find the value fraction harmonical series Hence imaginary integers integral less letters limit logarithm miles monomial Multiply negative number number of terms obtained positive integer quadratic quadratic equation quotient ratio remainder represent Resolve into factors result Simplify Solve square root subtract surd third trinomial unknown number variable whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 303 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Σελίδα 131 - A man leaves the half of his property to his wife, a sixth to each of his two children, a twelfth to his brother, and the remainder, amounting to $600, to his sister. What was the amount of his property ? 17.
Σελίδα 141 - A cask contains 12 gallons of wine and 18 gallons of water ; another cask contains 9 gallons of wine and 3 gallons of water. How many gallons must be drawn from each cask to produce a mixture containing 7 gallons of wine and 7 gallons of water?
Σελίδα 255 - If the product of two numbers is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = bc, then, dividing by bd, or / (л- с'- v / 316.
Σελίδα 161 - The sum of the two digits of a number is 6, and if the number is divided by the sum of the digits the quotient is 4. What is the number ? 19.
Σελίδα 461 - Form all the possible products of n elements each that can be formed by taking one, and only one, element from each row, and one, and only one, element from each column ; prefix to each of the products thus formed either...
Σελίδα 276 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? 24.
Σελίδα 280 - Of three numbers in geometrical progression, the sum of the first and second exceeds the third by 3, and the sum of the first and third exceeds the second by 21. What are the numbers ? 15.
Σελίδα 418 - The coefficient pt of the fourth term with its sign changed is equal to the sum of the products of the roots taken three...
Σελίδα 255 - The equation ad = be gives be ad a = -у, b — — ; a с so that an extreme may be found by dividing the product of the means by the other extreme ; and a mean may be found by dividing the product of the extremes by the other mean.