«SINH» 관련 영어 책
다음 도서 목록 항목에서
sinh 의 용법을 확인하세요.
sinh 에 관련된 책과 해당 책의 짧은 발췌문을 통해 영어 서적에서 단어가 사용되는 맥락을 제공합니다.
... + y) = cosh x cosh y + sinh x sinh y. (5b) Example 2 Prove identity (5a). Solution
By definition, sinh(x + y) = - ,x*y — -x-y V - e e 2 2 Now we plug in ex = coshx +
sinhx and e x = coshx - sinhx to get sinh(x + y) = \ [(coshx + sinhx)(coshj + sinh y)
...
Jerold Marsden, Alan Weinstein,
1985
2
Fundamental Formulas of Physics
And the equations sinh x . cosh x i , CSch X = — r-i cosh x sinh x tanh x = -"" " ,
coth x = . "'*, / cosh x sinh s f sech x = — ^ — , csch x = —rA — \ define the
hyperbolic tangent, hyperbolic cotangent, hyperbolic secant and hyperbolic
cosecant, ...
Donald Howard Menzel,
1960
3
Theory of Functions of a Complex Variable
Closely related to the trigonometric functions cos z and sin z are the hyperbolic
functions cosh z and sinh z, called the hyperbolic cosine and the hyperbolic sine,
respectively, and defined by the formulas ez + e~z ez — e~z cosh z = = . sinh z = .
A. I. Markushevich, Richard A. Silverman,
2005
4
Complex Function Theory
Hyperbolic functions The hyperbolic functions are defined in terms of the
exponential function just as in the theory of functions of a real variable: e2 + 6~ 2
e2 — 6— 2 cosh z = , sinh z = , 2 2 , sinh z coshz tanh z = - — , coth z = — ; — ,
cosh z ...
5
Applied Complex Variables for Scientists and Engineers
Similarly, one can show that sin iz = i sinh z, coshiz = cosz, cosiz = coshz. (3.2.7b)
The real and imaginary parts of sinh z and cosh z are found to be sinhr = sinh v
cosy + / cosh x sin y, (3.2.8a) coshz = cosh x cosy + / sinh x sin y, (3.2.8b) and ...
6
Tuttle Compact Vietnamese Dictionary
Surpassingậ transcendental Sim n. myrtle sinh 1 v. (= đè) to be born; to give birth
to; to live: Tôi Sinh ớ Việt Nam. I Was born in Vietnam.: nhà hộ sinh matemity
hospital; ký sinh parasite; phục sinh rebirth, Easter; sát sinh to kill living beings; ...
7
A Course in Pure Mathematics
l) by squaring and subtracting corresponding Sides we get sinh 2x=2 sinh X cosh́
X. By writing Sinh (x+y)=§(e'.e"-e-'.e-ll) and using (5.6) and (5.7) We have sinh (X
+y) =ầ̀{(cosh x+sinh x)(cosh y+sinh y) - (cosh J:-sinh x)(ccsh y-sinh y)} sinh (x ...
8
Nonlinear Physics with Maple for Scientists and Engineers
Richard H. Enns, George C. McGuire. %1 := 3 cosh(x - 28 t) + cosh(3 x - 36 t) %2 :
= 3 + 4 cosh(2 x-8t) + cosh(4 x - 64 t) %3 := 3sinh(x - 28 t) + 3sinh(3x - 36 t) %4 :=
8 sinh(2 x - 8 4) + 4 sinh(4 x - 64 t) Because of its length, the Ihs of the output ...
Richard H. Enns, George C. McGuire,
2000
9
Engineering Mathematics
Remark 14.1. Proceeding as in the above example, the following formulae of
hyperbolic function can also be derived. (i) sinh (x ± y) = sinh x cosh y ± cosh x
sinh y (ii) cosh (x ± y) = cosh x cosh y ± sinh x sinh y , / , x tanhx ± tanhv (111)
tanh(x ...
10
The Laplace Transform: Theory and Applications
that is, Y'(0) F(a) Inverting gives YYO)sinhax 1 Y(x) = t/(x, s) = 1 f / f(u) sinh a(x - u)
du a Jo 1 f* r — I / (u) sinh V s(x — u) du. Vs Jo V s Now, Y(1) — 0, implying 1 f1 Y
'(0) = - - / /(u) sinh Vsfl - u)du. sinh vs Jo Thus, Jo ~ L f(u sinh Vsxsinh -/in — u) ...
«SINH» 단어를 포함하는 뉴스 기사
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sinh 단어를 사용하는 방법을 알아보세요.
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