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आवर्ती फलनों की सूची
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यहाँ प्रमुख आवर्ती फलनों की सूची दी गयी है।
त्रिकोणमितीय फलन
यदि अलग से कुछ नहीं कहा गया है तो यहाँ सूचीबद्ध सभी त्रिकोनमितीय फलनों का आवर्तकाल समझें। नीचे दिए त्रिकोणमितीय फलनों के लिए,
Un is the nth up/down number,
Bn is the nth Bernoulli number
नाम प्रतीक सूत्र nb Formulae are given as Taylor series or derived from other entries. फुर्ये श्रेणी (Fourier Series)Sine cas (mathematics) Cosine cis (mathematics) cos(x) + i sin(x) Tangent http://web.mit.edu/jorloff/www/18.03-esg/notes/fourier-tan.pdf संग्रहीत प्रति 16 अप्रैल 2020 https://web.archive.org/web/20190331130103/http://web.mit.edu/jorloff/www/18.03-esg/notes/fourier-tan.pdf 31 मार्च 2019 live Cotangent March 2019 Secant - Cosecant - Exsecant - Excosecant - Versine Vercosine Coversine Covercosine Haversine Havercosine Hacoversine Hacovercosine Magnitude of sine wave with amplitude, A, and period, T - Papula, Lothar Mathematische Formelsammlung: für Ingenieure und Naturwissenschaftler Vieweg+Teubner Verlag 2009 3834807575p. 193
वे फलन जो निष्कोण (चिकने) नहीं हैं
The following functions take the variable , period and have range to .
The symbol is the floor function of n and is the sign function.
नाम सूत्र फुर्ये श्रेणी टीका त्रिभुज तरंग non-continuous first derivative Sawtooth wave http://mathworld.wolfram.com/FourierSeries.html संग्रहीत प्रति 16 अप्रैल 2020 https://web.archive.org/web/20200318210152/https://mathworld.wolfram.com/FourierSeries.html 18 मार्च 2020 live non-continuous वर्ग तरंग - non-continuous Cycloid No closed form - non-continuous first derivative Pulse wave - - non-continuous
The following functions are also not smooth:
Tangent (non-continuous)
Cotangent
Secant
Cosecant
Exsecant
Excosecant
Vector-valued functions
Epitrochoid
Epicycloid (special case of the epitrochoid)
Limaçon (special case of the epitrochoid)
Hypotrochoid
Hypocycloid (special case of the hypotrochoid)
Spirograph (special case of the hypotrochoid)
Doubly periodic functions
Jacobi's elliptic functions
Weierstrass's elliptic function
टिप्पणियाँ
nb
श्रेणी:फलन के प्रकार