Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
26개의 결과 중 1 - 5개
3 페이지
... integers . By m . A or mA is meant the mth multiple of A , and it may be read m times A ; by mn is meant the arithmetical product of the integers m and n , and it is assumed that mn = nm . The combination m . n A denotes the mth ...
... integers . By m . A or mA is meant the mth multiple of A , and it may be read m times A ; by mn is meant the arithmetical product of the integers m and n , and it is assumed that mn = nm . The combination m . n A denotes the mth ...
5 페이지
... integers : ( i ) . The ratio of A to B is equal to that of P to Q , when according as mA = or < n B mP > or < nQ . = ( ii ) . If m be any integer whatever and n another inte- ger so determined that either mA is between n B and ( n + 1 ) ...
... integers : ( i ) . The ratio of A to B is equal to that of P to Q , when according as mA = or < n B mP > or < nQ . = ( ii ) . If m be any integer whatever and n another inte- ger so determined that either mA is between n B and ( n + 1 ) ...
6 페이지
... integers m , n can be found such that if mA > n B , then m PnQ , or if mA = n B , then mPnQ . 8. " If A is equal to B , the ratio of A to B is called a ratio of equality . " If A is greater than B , the ratio 6 INTRODUCTION .
... integers m , n can be found such that if mA > n B , then m PnQ , or if mA = n B , then mPnQ . 8. " If A is equal to B , the ratio of A to B is called a ratio of equality . " If A is greater than B , the ratio 6 INTRODUCTION .
9 페이지
... integer m can be found such that m A exceeds m B by a magnitude greater than C. Hence , the integer n being so chosen that mA is equal to or greater than n C and less than ( n + 1 ) C , the conditions re- quire that and therefore mB < n ...
... integer m can be found such that m A exceeds m B by a magnitude greater than C. Hence , the integer n being so chosen that mA is equal to or greater than n C and less than ( n + 1 ) C , the conditions re- quire that and therefore mB < n ...
11 페이지
... integer ; then AB : mA : m B. For if p , q be any two integers , m.pA > or < m.qB = pA > or < 9 B. ( Def . 2 , Ax . ii . ) q.m B ; p.mA and m . 9 B = p.mA > = or < q.m B according as But me.pA = according as pA > or < qB , = whatever ...
... integer ; then AB : mA : m B. For if p , q be any two integers , m.pA > or < m.qB = pA > or < 9 B. ( Def . 2 , Ax . ii . ) q.m B ; p.mA and m . 9 B = p.mA > = or < q.m B according as But me.pA = according as pA > or < qB , = whatever ...
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a+ib addition and subtraction Addition Theorem affix Agenda amplitude angle AOQ arc AVQ arc-ratio assumed base CALIFORNIA circular sector co-ordinates commutative law complex quantities corresponding cosh COSK csch defined definition direction distance equal equation equilateral hyperbola expm exponential expressed factors formula functions geometric addition Goniometric Ratios Hence hyperbolic functions Hyperbolic Ratios hyperbolic sector imaginary indeterminate form integer inverse law of indices law of involution law of metathesis length logarithmic spiral logm metathesis modular normal modulus natural logarithms negative nth roots orthomorphosis parallel path plane polynomial positive Prop proportion PROPOSITION Prove the following quotient radius real axis real magnitudes real quantities reciprocal represent respectively roots sech sector sinh speed straight line tanh tensor tion triangle unit circle x+iy z-plane zero