Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
7개의 결과 중 1 - 5개
viii 페이지
... metathesis . 43 27. The law of indices 43 28. The addition theorem . 44 29. Infinite values of a logarithm 45 30. Indeterminate exponential forms . 45 VIII . ARTICLE . SYNOPSIS OF LAWS OF ALGEBRAIC OPERATION viii CONTENTS .
... metathesis . 43 27. The law of indices 43 28. The addition theorem . 44 29. Infinite values of a logarithm 45 30. Indeterminate exponential forms . 45 VIII . ARTICLE . SYNOPSIS OF LAWS OF ALGEBRAIC OPERATION viii CONTENTS .
x 페이지
... metathesis . 78. The law of indices 79. The addition theorem for logarithms 89 89 90 80. The logarithmic spiral . . 81. Periodicity of exponentials . 82. Many - valuedness of logarithms 90 91 92 83. Direct and inverse processes . 84 ...
... metathesis . 78. The law of indices 79. The addition theorem for logarithms 89 89 90 80. The logarithmic spiral . . 81. Periodicity of exponentials . 82. Many - valuedness of logarithms 90 91 92 83. Direct and inverse processes . 84 ...
43 페이지
... Metathesis . Let z = bh ; then by the law of involution - zk ( bh ) k = bhk ; whence , passing to the corresponding inverse relations , hk logm zk and h = logm * ; ... k log , z = logm zk , which expresses the law of interchange of ...
... Metathesis . Let z = bh ; then by the law of involution - zk ( bh ) k = bhk ; whence , passing to the corresponding inverse relations , hk logm zk and h = logm * ; ... k log , z = logm zk , which expresses the law of interchange of ...
47 페이지
... . Laws of Logarithmic Operation : ( i ) . Metathesis : n logm x = m log nx = logm xn ( ii ) . Addition theorem : - In xmn . logm ( xy ) = logm x ± logm y . 37. Properties of o , 1 , and ∞ : LAWS OF ALGEBRAIC OPERATION . 47.
... . Laws of Logarithmic Operation : ( i ) . Metathesis : n logm x = m log nx = logm xn ( ii ) . Addition theorem : - In xmn . logm ( xy ) = logm x ± logm y . 37. Properties of o , 1 , and ∞ : LAWS OF ALGEBRAIC OPERATION . 47.
48 페이지
... metathesis ( Art . 36 ) , that * log 325 , 3log 7296 , etc. ( 4 ) . Show , by the law of metathesis and the addition theorem ( Art . 36 ) , that 4log 8 + log 22 , log 21 , ' log ( 1/8 ) + log ( 1/27 ) = - 3 . ( 5 ) . Find the logarithms ...
... metathesis ( Art . 36 ) , that * log 325 , 3log 7296 , etc. ( 4 ) . Show , by the law of metathesis and the addition theorem ( Art . 36 ) , that 4log 8 + log 22 , log 21 , ' log ( 1/8 ) + log ( 1/27 ) = - 3 . ( 5 ) . Find the logarithms ...
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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