 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.  College Algebra - Σελίδα 666των James Harrington Boyd - 1901 - 777 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | William Shaffer Hall - 1897 - 280 σελίδες
...last term is the only fractional term. So it is necessary to consider only rational fractions in which the degree of the numerator is less than the degree of the denominator. A rational fraction is integrated by decomposing it into a number of simpler partial fractions, which... | |
 | Fletcher Durell, Edward Rutledge Robbins - 1897 - 482 σελίδες
...fractions by the use of the properties of identities. It is evident that if in the original fraction the degree of the numerator is less than the degree of the denominator, the same must be true in each partial or component fraction. The problem before us is the inverse of... | |
 | James Harrington Boyd - 1901 - 818 σελίδες
...fractions. 688. Case I. When the factors of the denominator are of the first degree and all different, and the degree of the numerator is less than the degree of the denominator. Expand into partial fractions , , ~"" x "*" ' c , where a, b. c, (x — l)(x — HI) (x — n) /, m,... | |
 | Louis Parker Jocelyn - 1902 - 460 σελίδες
...terminating, in the latter, non terminating. 240. A Proper Fraction in the literal notation is one in which the degree of the numerator is less than the degree of the denominator. ILLUSTRATIONS. 241. An Improper Fraction in the literal notation is a fraction in which the degree... | |
 | Frederick Shenstone Woods - 1909 - 432 σελίδες
...6„, as was stated. Ex. 1. Separate into partial fractions ^—^- - —t -- (x + 3) (x* - 4) Since the degree of the numerator is less than the degree of the denominator, we assume x» + ll* + 14= A ___ S_,_0_ (x + 3) (x2 - 4) x - 2 x + 2 x + 3' ( ! where A, B, and C are constants.... | |
 | William Charles Brenke - 1910 - 374 σελίδες
...For reasons which will presently appear, the methods to be explained apply only to fractions in which the degree of the numerator is less than the degree of the denominator. When this is not the case, divide numerator by denominator until a remainder of less degree than the... | |
 | Edouard Goursat - 1916 - 280 σελίδες
...function, has a sense, provided that the denominator does not vanish for any real value of x and that the degree of the numerator is less than the degree of the denominator by at least two units. With the origin as center let us describe a circle C with a radius R large enough... | |
 | Edouard Goursat - 1916 - 282 σελίδες
...function, has a sense, provided that the denominator does not vanish for any real value of x and that the degree of the numerator is less than the degree of the denominator by at least two units. With the origin as center let us describe a circle C with a radius R large enough... | |
 | Edouard Goursat - 1916 - 280 σελίδες
...function, has a sense, provided that the denominator does not vanish for any real value of x and that the degree of the numerator is less than the degree of the denominator by at least two units. With the origin as center let us describe a circle C with a radius R large enough... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - 1917 - 536 σελίδες
......... ( ) It is evident, then, that we need to study the integration of only those fractions in which the degree of the numerator is less than the degree of the denominator. If the denominator of such a fraction is of the first degree or the second degree, the integration... | |
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