A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 páginas |
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Página xii
... Greatest value of Cr G + y ) Cn = xCn + zCn − 1 • y € 1 + ... + yCn • Homogeneous products [ see also p . 345 ] Vandermonde's Theorem [ see also p . 304 ] Examples XXIII . 266 267 269 270 · . 271 274 275 277 278 280 281 282 283 287 ...
... Greatest value of Cr G + y ) Cn = xCn + zCn − 1 • y € 1 + ... + yCn • Homogeneous products [ see also p . 345 ] Vandermonde's Theorem [ see also p . 304 ] Examples XXIII . 266 267 269 270 · . 271 274 275 277 278 280 281 282 283 287 ...
Página xiii
... Greatest term 334 Examples XXVII . 335 Sum of the first r + 1 coefficients of a + a1x + a‚x2 + 337 Binomial Series 338 Expansion of multinomials 342 Combinations with repetitions . 344 Homogeneous products [ see also p . 283 ] 345 ...
... Greatest term 334 Examples XXVII . 335 Sum of the first r + 1 coefficients of a + a1x + a‚x2 + 337 Binomial Series 338 Expansion of multinomials 342 Combinations with repetitions . 344 Homogeneous products [ see also p . 283 ] 345 ...
Página xv
... greatest when the quantities are equal The arithmetic mean of any number of positive quantities is greater than their geometric mean The sum of any number of positive quantities , whose product is given , is least when the quantities ...
... greatest when the quantities are equal The arithmetic mean of any number of positive quantities is greater than their geometric mean The sum of any number of positive quantities , whose product is given , is least when the quantities ...
Página 77
... greatest common measure of two numbers . If the expressions have monomial factors , they can be seen by inspection ; and the highest common factors of these monomial factors can also be seen by inspection : we have therefore only to ...
... greatest common measure of two numbers . If the expressions have monomial factors , they can be seen by inspection ; and the highest common factors of these monomial factors can also be seen by inspection : we have therefore only to ...
Página 82
... greatest common measure ( G.C.M. ) . If one expression is of higher dimensions than another , in a particular letter , we have no reason to suppose that it is numerically greater : for example , a is not necessarily greater than a ; in ...
... greatest common measure ( G.C.M. ) . If one expression is of higher dimensions than another , in a particular letter , we have no reason to suppose that it is numerically greater : for example , a is not necessarily greater than a ; in ...
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Términos y frases comunes
a+b+c a₁ arithmetic mean arithmetical progression ax² b₁ binomial Binomial Theorem C₁ Cambridge coefficient contain continued fraction Crown 8vo denominator determinant digits divergent divide divisible divisor Edition equal equation ax example expansion Extra fcap Fcap Find the number Find the sum follows geometrical progression given expression Globe 8vo greater Hence the required infinity letters logarithm MACMILLAN'S Multiply negative nth convergent nth root nth term number of terms obtained P₁ periodic continued fraction positive integer powers prime number Professor prove quadratic equation quadratic surd quotient ratio remainder School Shew Solve the equation square root subtract suppose Theorem Trinity College u₁ unknown quantities white ball whole number zero
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