Fourier series, periodic function ,Dirichlet conditions

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[00:00:27]Electricity and magnetism.

[00:00:30]Mathematical physics.

[00:00:38]Electricity and magnetism.

[00:00:40]Mathematical physics.

[00:00:56]Mathematical Physics 2.

[00:01:09]Second unit provinius method.

[00:01:18]Third unit polomials.

[00:01:26]Fourth unit partial differential equation.

[00:01:35]Discuss 4 series function.

[00:02:10]Next discussion condition.

[00:02:26]What is periodic function?

[00:02:50]A function f of x is set to be periodic.

[00:03:06]If it repeats itself in a fixed interval of time interval interval.

[00:03:37]Function function that is it satisfy the rule.

[00:03:46]It satisfy f of x is equal to f of x + t is equal to f of x + 2t that is f of x + nt is the The period of the fun is a integer.

[00:04:54]Next point each value of coordinate.

[00:05:10]It repeats itself in a fixed interval.

[00:05:47]Next. Next.

[00:05:51]It is two types.

[00:06:02]Simple.

[00:06:06]or senos.

[00:06:09]So periodic function.

[00:06:20]Next second complex or non single Periodic function periodic function.

[00:06:47]A function f is said to be periodic if it repeats itself in a fixed interval.

[00:07:03]function of x.

[00:07:11]Next fine coordinate time sine wave sine wave by 2 pi 3 pi and 4 pi sin wave 0 same 2<unk> value 2 function f is said to be periodic if it repeats itself in a fixed interval Fixed wave maxine wave 2 pi 2 pi 2 pi wave + t of x + 2 t of x + nod of the function.

[00:09:16]of the function.

[00:09:18]Any x + t x + 2.

[00:09:36]The next value of coordinate repeats itself in a fixed interval.

[00:09:48]Sorry yordinate.

[00:09:55]Each value ofordinate each value ofinate repeat itself function. Function function. Simple simple function complex function simple function functional function sine wave cos wave.

[00:10:46]Simple function complex complex or nonocidal periodic function complex function complex nonosidal period function complex noninosidal function.

[00:11:20]Sum of s and cosine function. Sum of s and cosine function.

[00:11:35]function composct.

[00:11:58]Next example function function function. Oh, for basic.

[00:12:55]s by question. Find the period.

[00:13:10]The function f of x = x + 5 x = sin er function sin X cos x sin x cos x cosec x se xology 2 pi tan x 1 sorry pi I'm sin x tant 2 pi sin of 5x + 2 of the function.

[00:14:43]X + K + X + 2 by 5 = 2<unk> by I answer 10 2x 2x tan 2x = tan 2x + t = tan 2 2x + tan x +<unk> by 2 by 2 Next time you have a function with a value f of x is equal to x modulus in the interval of -<unk> 2 pi. formula period of the function t = b - a bi - 2 periodic function.

[00:17:14]Function function which repeats itself after a fixed interval is called periodic function.

[00:17:31]condition.

[00:17:38]Direct condition of x in the interval of -<unk> 2 pi minus<unk> sorry - x satisfy condition. The first condition called now the function should be bounded in the interal of - 2 pi Second, the function should be single value.

[00:18:58]The function should have finite number of maximum and minimum in the interval.

[00:19:29]of - 2 pi. Then channel condition.

[00:19:36]Then the function is P continuous.

[00:19:56]That is there is finite. There is a finite number of discontin the function should be bounded minus The function should be single valued.

[00:21:17]T P T P T P T P T P T P T P T P T P T P T1 value T P T P T P T P T P T P T P T P T P T P2 value T P T P T P T P T P T P T P T P T P T P Next.

[00:21:48]T12 T3 expansion value expansion t2 The function should have finite number of maximum minimum.

[00:22:44]X 2 max single value single Finite number of maximum number of maxite number maxite number maxarable will be finite number of maximum finite number of max that is there is a finite number of discont continular discontin.

[00:24:23]Good time.

[00:24:25]Good time.

[00:24:45]second the function is peacewise continuous peace continuous that is there is a finite number of discontinite Last conditioner function series expansion.

[00:25:32]The next f= f of x + 2 pi periodic function is sorry half when expansion on outside of the outside of - x value f of x value expans value of x value = a by 2 + summation / n = 1 to b a n cos n = 1 to p bn sin n x most of condition.

[00:27:13]Next Next series function.

[00:28:15]Mathematical Physics by HKAS.

[00:28:24]Then mathematical physics by then mathematical physics by AB.

[00:28:42]How do I see mathematical physics 2 by explanation ebook?

[00:29:33]Graduate student from Autonomous College.

[00:29:43]Introduction. Physics.

[00:29:46]Physics.

[00:29:57]Fore! Foreign! Foreign!

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