A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 σελίδες |
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Σελίδα 16
... rows of dots , putting a dots in each row ; and take b rows , writing the dots under one another as in the following scheme : a in a row b rows . Then the whole number of the dots is a repeated b times , that is a x b . Now consider the ...
... rows of dots , putting a dots in each row ; and take b rows , writing the dots under one another as in the following scheme : a in a row b rows . Then the whole number of the dots is a repeated b times , that is a x b . Now consider the ...
Σελίδα 17
... row will be a , and this is repeated b times . Hence , when a and b are integers , c repeated ab times gives the same result as c repeated a times and this repeated b times . So that to multiply by any two whole numbers in succession ...
... row will be a , and this is repeated b times . Hence , when a and b are integers , c repeated ab times gives the same result as c repeated a times and this repeated b times . So that to multiply by any two whole numbers in succession ...
Σελίδα 34
... row , the terms being so placed that ' like ' terms are under one another . And similarly for all the other terms of the multiplier . The final result is then obtained by adding the rows of partial products ; and this final sum can be ...
... row , the terms being so placed that ' like ' terms are under one another . And similarly for all the other terms of the multiplier . The final result is then obtained by adding the rows of partial products ; and this final sum can be ...
Σελίδα 288
... row on the stroke side only , four on the bow - side only , and the remaining two on either side . How many different selections can be made ? 3. There are three candidates for a certain office and twelve electors . In how many ...
... row on the stroke side only , four on the bow - side only , and the remaining two on either side . How many different selections can be made ? 3. There are three candidates for a certain office and twelve electors . In how many ...
Σελίδα 289
... row so that no two negative signs shall be together . 18. Shew that the number of ways of putting m things in n + 1 places , there being no restriction as to the number in each place is ( m + n ) ! / m ! n ! 19. Shew that 2n things can ...
... row so that no two negative signs shall be together . 18. Shew that the number of ways of putting m things in n + 1 places , there being no restriction as to the number in each place is ( m + n ) ! / m ! n ! 19. Shew that 2n things can ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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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