The elements of algebra1857 |
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Αποτελέσματα 6 - 10 από τα 22.
Σελίδα 192
... expansion it is seen that the term required = 3x2 × x2 + 3x1 = 6x * . Again , the number of terms in the expansion of ( a + b + c ) " may be found ; for it will obviously be the aggregate number of the terms in the expansions of the ...
... expansion it is seen that the term required = 3x2 × x2 + 3x1 = 6x * . Again , the number of terms in the expansion of ( a + b + c ) " may be found ; for it will obviously be the aggregate number of the terms in the expansions of the ...
Σελίδα 193
... expansion of any multi- nomial , as ( a , + a2 + a ̧ + ... ..a ‚ ) " , is known ; for it is obviously the same as the number of homogeneous products of r things taken n together , that is , r ( r + 1 ) ( r + 2 ) . . . . . . ( r + n − 1 ) ...
... expansion of any multi- nomial , as ( a , + a2 + a ̧ + ... ..a ‚ ) " , is known ; for it is obviously the same as the number of homogeneous products of r things taken n together , that is , r ( r + 1 ) ( r + 2 ) . . . . . . ( r + n − 1 ) ...
Σελίδα 194
... expansion of a multinomial may frequently be effected by the Binomial Theorem , as is done for a trinomial in Art ... expansion from that term as follows : - 327. To find the general term of the expansion of ( a + b + c + d + & c . ) TM ...
... expansion of a multinomial may frequently be effected by the Binomial Theorem , as is done for a trinomial in Art ... expansion from that term as follows : - 327. To find the general term of the expansion of ( a + b + c + d + & c . ) TM ...
Σελίδα 196
... expansion may be found as before , by giving p , q , r , s , & c . all possible values which the condition p + q + r + s + & c . = m admits of . Also any particular term involving a proposed power of a , as a " , will be found by taking ...
... expansion may be found as before , by giving p , q , r , s , & c . all possible values which the condition p + q + r + s + & c . = m admits of . Also any particular term involving a proposed power of a , as a " , will be found by taking ...
Σελίδα 197
... expansion of ( a - b - c ) which involves a b3c3 . Here m = 7 , m - n = 2 , q = 3 , r = 2 ; 7.6.5.4.3 .. the term required : = . a3 . ( -b ) 3 . ( −c ) 3 , Ex . 2 . 1.2.3.1.2 = - -210a2b3c2 . Required the term in the expansion of ( a + ...
... expansion of ( a - b - c ) which involves a b3c3 . Here m = 7 , m - n = 2 , q = 3 , r = 2 ; 7.6.5.4.3 .. the term required : = . a3 . ( -b ) 3 . ( −c ) 3 , Ex . 2 . 1.2.3.1.2 = - -210a2b3c2 . Required the term in the expansion of ( a + ...
Συχνά εμφανιζόμενοι όροι και φράσεις
algebraical quantities annuity Arithmetical Progression Binomial Theorem coefficient common denominator Comp contain continued fraction convergent cube root denary difference digits divided divisible divisor Edition equal equation EXERCISES expressed Extract the square factors Find the G.C.M. find the number Find the square find the sum Find the value given greater Greatest Common Measure Hence hour latter Least Common Multiple less lowest terms miles Mult multiplied N₁ negative nth root number of combinations number of terms numerator and denominator positive integers Post 8vo Present Value prime number proportion proposed quantities prove quadratic quadratic equation quotient radix ratio reduced remainder represented rule scale shew shillings square root ST JOHN'S COLLEGE subtracted suppose surd unknown quantities vols vulgar fraction whole number Woodcuts
Δημοφιλή αποσπάσματα
Σελίδα 574 - Ephemera. — The Book of the Salmon: Comprising the Theory, Principles, and Practice of Fly-fishing for Salmon: Lists of good Salmon Flies for every good River in the Empire ; the Natural History of the Salmon, all its known Habits described, and the best way of artificially Breeding it explained. With numerous coloured Engravings. By EPHEMERA j assisted by ANDREW YOUNG.
Σελίδα 577 - Kirby and Spence's Introduction to Entomology ; or, Elements of the Natural History of Insects : Comprising an Account of Noxious and Useful Insects, of their Metamorphoses, Food, Stratagems, Habitations, Societies, Motions, Noises, Hybernation, Instinct, &c.