Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
xiii 페이지
... 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 , to modulus « . Sine , cosine , etc. , to modulus K ...
... 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 , to modulus « . Sine , cosine , etc. , to modulus K ...
67 페이지
... amplitude ( or argument ) .. Classified and defined with respect to amplitude , the magnitudes themselves are : ( ii ) . Real , if the amplitude be o or a multiple of π ; ( iii ) . Imaginary , if the amplitude be π / 2 or an odd ...
... amplitude ( or argument ) .. Classified and defined with respect to amplitude , the magnitudes themselves are : ( ii ) . Real , if the amplitude be o or a multiple of π ; ( iii ) . Imaginary , if the amplitude be π / 2 or an odd ...
71 페이지
... amplitude , in terms of which it is frequently useful to express it . For this purpose let i be the versor whose amplitude is π / 2 , Ө the amplitude of the complex unit B , OX the real axis , BM the perpendicular to OX from the ...
... amplitude , in terms of which it is frequently useful to express it . For this purpose let i be the versor whose amplitude is π / 2 , Ө the amplitude of the complex unit B , OX the real axis , BM the perpendicular to OX from the ...
72 페이지
... amplitude , or amplitudes that differ by ± 27 , is a real quantity . ( 7 ) . Show that the ratio of two complex quantities having amplitudes that differ by ± 1 is a purely imag- inary quantity . 63. The Imaginary Unit . By definition ...
... amplitude , or amplitudes that differ by ± 27 , is a real quantity . ( 7 ) . Show that the ratio of two complex quantities having amplitudes that differ by ± 1 is a purely imag- inary quantity . 63. The Imaginary Unit . By definition ...
73 페이지
... 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 ) X ( b × c • cis [ + x ] ...
... 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 ) X ( b × c • cis [ + x ] ...
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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