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 m n = 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 m n = 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 m A = or < n B according as 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 m A = or < n B according as 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 or if mAn B , then m PnQ , = n B , then mPnQ . mA 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 or if mAn B , then m PnQ , = n B , then mPnQ . mA 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 ...
... 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 ...
11 페이지
... integers , according as But according as m.pA > or < m . qB = pA > or < 9 B. = ( Def . 2 , Ax . ii . ) = q.m B ; m.pА = p.m A and m . q B ··· þ.mA = or < q.m B = pA > or < 9B , whatever integers p and q represent . Hence A : B : mA : m ...
... integers , according as But according as m.pA > or < m . qB = pA > or < 9 B. = ( Def . 2 , Ax . ii . ) = q.m B ; m.pА = p.m A and m . q B ··· þ.mA = or < q.m B = pA > or < 9B , whatever integers p and q represent . Hence A : B : mA : m ...
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addition and subtraction Addition Theorem Agenda amplitude angle AOQ arc-ratio B₁ base called circular sector cis ẞ commutative law complex quantities COROLLARY corresponding cosh COSK csch defined definition denoted distance equal equation equilateral hyperbola expm exponential expressed formula functions geometric addition Goniometric Ratios Hence hyperbolic functions Hyperbolic Ratios hyperbolic sector imaginary indeterminate form integers intersect inverse law of indices law of involution law of metathesis length logarithmic spiral logarithms logm modulus Multiplication and Division natural logarithms negative factors nth root OJ=j parallel plane polynomial positive Prop proportion PROPOSITION Prove the following quotient radii radius real axis real magnitudes real quantities reciprocal represent respectively sech sector sinh speed of Q straight line tanh tensor tion triangle unit circle z-plane zero