Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
xiii 페이지
... 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. limit Limit of , when approaches a ...
... 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. limit Limit of , when approaches a ...
41 페이지
... logarithms whose modulus is unity are called natural logarithms , and the corresponding base is called natural base , the special symbols for which are ln and e respectively ; thus - y = log , x = ln x , and x ey = exp y represent the ...
... logarithms whose modulus is unity are called natural logarithms , and the corresponding base is called natural base , the special symbols for which are ln and e respectively ; thus - y = log , x = ln x , and x ey = exp y represent the ...
42 페이지
... natural base . 25. The Law of Involution . By virtue of the fundamental principle of the last article — that to multiply the modulus multiplies the logarithm by the same amount- we have in general expkm z == expm z / k and expm / k z ...
... natural base . 25. The Law of Involution . By virtue of the fundamental principle of the last article — that to multiply the modulus multiplies the logarithm by the same amount- we have in general expkm z == expm z / k and expm / k z ...
88 페이지
... natural logarithms , the logarithm to modulus is K log1 = ln z / In B. 76. The Law of Involution . By virtue of propo- sition ( i ) of last Article we have in general expik w = exp w / t , and expk / tw = exp1 tw . Hence expk tw expk ...
... natural logarithms , the logarithm to modulus is K log1 = ln z / In B. 76. The Law of Involution . By virtue of propo- sition ( i ) of last Article we have in general expik w = exp w / t , and expk / tw = exp1 tw . Hence expk tw expk ...
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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