Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
12개의 결과 중 1 - 5개
xiii 페이지
... Tensor of ( absolute value of ) . vsr Versor of . amp Amplitude of ( argument of ) . In Natural logarithm of . e Natural base . π Ratio of circumference to diameter . ' log Logarithm of , to base b . log sink , cos , etc. Logarithm of ...
... Tensor of ( absolute value of ) . vsr Versor of . amp Amplitude of ( argument of ) . In Natural logarithm of . e Natural base . π Ratio of circumference to diameter . ' log Logarithm of , to base b . log sink , cos , etc. Logarithm of ...
67 페이지
... tensor of the magnitude , and the arc - ratio of the angle it makes with the real axis is called its amplitude ( or ... tensor and amplitude , and hence : ( v ) . Two quantities are equal if their tensors and their amplitudes are ...
... tensor of the magnitude , and the arc - ratio of the angle it makes with the real axis is called its amplitude ( or ... tensor and amplitude , and hence : ( v ) . Two quantities are equal if their tensors and their amplitudes are ...
71 페이지
... tensor . If this tensor be 1 , the product re- duces to cis · cis ( — 4 ) = 1 ; that is , by virtue of the definition of Art THE ALGEBRA OF COMPLEX QUANTITIES . 71 Conjugate and reciprocal.
... tensor . If this tensor be 1 , the product re- duces to cis · cis ( — 4 ) = 1 ; that is , by virtue of the definition of Art THE ALGEBRA OF COMPLEX QUANTITIES . 71 Conjugate and reciprocal.
72 페이지
... tensor ; it is therefore called the imaginary unit . Its integral powers form a closed cycle of values ; thus : i = cis ¿ 2 cisπ - I , 23 $ 3π = cis 2 i , ¿ 1 = cis 2π = 1 , and the higher powers of i repeat these values in 72 THE ...
... tensor ; it is therefore called the imaginary unit . Its integral powers form a closed cycle of values ; thus : i = cis ¿ 2 cisπ - I , 23 $ 3π = cis 2 i , ¿ 1 = cis 2π = 1 , and the higher powers of i repeat these values in 72 THE ...
73 페이지
... tensors , 4 , 4 , x the amplitudes of a , ß , γ respectively ; that is , a = a ' cis & , ẞ = b⋅cis ¥ , y = c * cis x . Then , by the law of geometric multiplication , a X ( BX y ) = ( a · cis ) × ( [ b · cis ] × [ ccis x ] ) ( a cis ) ...
... tensors , 4 , 4 , x the amplitudes of a , ß , γ respectively ; that is , a = a ' cis & , ẞ = b⋅cis ¥ , y = c * cis x . Then , by the law of geometric multiplication , a X ( BX y ) = ( a · cis ) × ( [ b · cis ] × [ ccis x ] ) ( a cis ) ...
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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