SINH SÖZCÜĞÜ İNGILIZCE DİLİNDE NE ANLAMA GELİR?
Hiperbolik fonksiyon
Matematikte, hiperbolik fonksiyonlar normal trigonometrik veya dairesel fonksiyonların analogudur. Temel hiperbolik fonksiyonlar, hiperbolik teğet "tanh", hiperbolik kosent "csch" veya "kosech" / koʊʃɛk / veya / koʊsɛtʃ / türevlerinden elde edilen hiperbolik sinüs "sinh" ve hiperbolik kosinüs "cosh" / kɒʃ / , hiperbolik sekant "sech" / ʃɛk / veya / sɛtʃ / ve hiperbolik kotanjant "coth" / koʊθ / veya / kɒθ / 'yi türetilmiş trigonometrik fonksiyonlara karşılık gelir. Ters hiperbolik fonksiyonlar hiperbolik sinüs "arsinh" ve benzeri alanlardır. Noktalar bir birim yarıçaplı bir daire oluşturduğu gibi, noktalar da eşkenar hiperbolanın sağ yarısını oluşturur. Hiperbolik fonksiyonlar, hiperbolik açı olarak adlandırılan gerçek bir argümanı alır. Hiperbolik açının boyutu, hiperbolik sektörünün alanıdır. Hiperbolik fonksiyonlar, bu sektörü kapsayan bir dik üçgenin bacaklarında tanımlanabilir.
İngilizce sözlükte sinh sözcüğünün tanımı
Sözlükte sinh'nin tanımı hiperbolik sinüs; hiperbolik bir fonksiyon, sinh z = 1/2, Sinine bağlı olarak sinh i z = i sin z, burada i = √-1 şeklindedir.
«SINH» İLE İLİŞKİLİ İNGILIZCE KİTAPLAR
sinh sözcüğünün kullanımını aşağıdaki kaynakça seçkisinde keşfedin.
sinh ile ilişkili kitaplar ve İngilizce edebiyattaki kullanımı ile ilgili bağlam sağlaması için küçük metinler.
... + 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» TERİMİNİ İÇEREN HABERLER
Ulusal ve uluslararası basında konuşulanları ve
sinh teriminin aşağıdaki haberlerde hangi bağlamda kullanıldığını keşfedin.
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