Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
12개의 결과 중 1 - 5개
39 페이지
... speed , ** proportional to its distance from a fixed origin O , the latter with a constant speed . Let x denote J P. P P " M Fig.20 . the variable distance of P , y that of Q from the origin , and let & be the speed of P when x = QJ1 ...
... speed , ** proportional to its distance from a fixed origin O , the latter with a constant speed . Let x denote J P. P P " M Fig.20 . the variable distance of P , y that of Q from the origin , and let & be the speed of P when x = QJ1 ...
40 페이지
... speed of P obviously known By means of this exponential , and ( i ) . μ / λ , a given value of which , say m , determines a system of corresponding distances x ' , x " andy ' , y " , ... is called the modulus of the system . ( ii ) ...
... speed of P obviously known By means of this exponential , and ( i ) . μ / λ , a given value of which , say m , determines a system of corresponding distances x ' , x " andy ' , y " , ... is called the modulus of the system . ( ii ) ...
41 페이지
... speed of P remain equal to Xx as in Art . 23 while the speed of Q is changed from μ to kμ . The modulus , p / λ = m , will then be changed to kμ / λ = km , and the distance of Q from the origin , corresponding to the distance x , will ...
... speed of P remain equal to Xx as in Art . 23 while the speed of Q is changed from μ to kμ . The modulus , p / λ = m , will then be changed to kμ / λ = km , and the distance of Q from the origin , corresponding to the distance x , will ...
44 페이지
... speed at P ' is λx'x ' = λ , and the corresponding distance passed over by Q is y " —y ' ; hence , by definition of the exponential , " and therefore 1 + P'P ' ' | OP ' = expm ( y ' ' — y ′ ) , ¦ = - expm y ' ' expm y ' expm ( y ' ' - y ...
... speed at P ' is λx'x ' = λ , and the corresponding distance passed over by Q is y " —y ' ; hence , by definition of the exponential , " and therefore 1 + P'P ' ' | OP ' = expm ( y ' ' — y ′ ) , ¦ = - expm y ' ' expm y ' expm ( y ' ' - y ...
59 페이지
... speed being expressed as the ratio of distance passed over to time - interval , the speed of Q is J P Fig . 26 . P = μ ť - - И t ' and the average speed of P during the whole interval is x ' - x bu bu = t - t ť ' t λα Let x represent ...
... speed being expressed as the ratio of distance passed over to time - interval , the speed of Q is J P Fig . 26 . P = μ ť - - И t ' and the average speed of P during the whole interval is x ' - x bu bu = t - t ť ' t λα Let x represent ...
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a+ib addition and subtraction Addition Theorem affix Agenda amplitude angle AOQ arc AVQ arc-ratio assumed base CALIFORNIA circular sector co-ordinates commutative law complex quantities corresponding cosh COSK csch defined definition direction distance equal equation equilateral hyperbola expm exponential expressed factors formula functions geometric addition Goniometric Ratios Hence hyperbolic functions Hyperbolic Ratios hyperbolic sector imaginary indeterminate form integer inverse law of indices law of involution law of metathesis length logarithmic spiral logm metathesis modular normal modulus natural logarithms negative nth roots orthomorphosis parallel path plane polynomial positive Prop proportion PROPOSITION Prove the following quotient radius real axis real magnitudes real quantities reciprocal represent respectively roots sech sector sinh speed straight line tanh tensor tion triangle unit circle x+iy z-plane zero