sumchief
sumchief
  • Видео 549
  • Просмотров 424 839
Integrate without Ostrogradski Method
Here we Integrate by substituting x^3=tan^2theta rather than use Ostrogradski Method.
Good things happen after this step
ruclips.net/video/1YrehBTkHVk/видео.html
ruclips.net/video/OXbNiHjrJew/видео.html
ruclips.net/video/v5yV9mWb2PM/видео.html
ruclips.net/video/VHjBjiySulY/видео.html
ruclips.net/video/ZEOk_DljuTY/видео.html
ruclips.net/video/fzdW3oCSfTw/видео.html
ruclips.net/video/1wO_GS1hRd0/видео.html
#calculus
#algebra
#integrale
#sumchief
#integralequation
#integrationshorttricks
#integration
#intégrale
#integraluniversity
#integraledu
Просмотров: 17

Видео

Finding Limits 4 ways
Просмотров 749 часов назад
L'Hôpital's Rule is a way of finding the limit of x approaches 0 using f'(x)/g'(x) . We could also use Taylor Series Representation to find limits ruclips.net/video/L5GUvn6Pxys/видео.html ruclips.net/video/CrKURHUKKuI/видео.html ruclips.net/video/9JfhV2Dimms/видео.html ruclips.net/video/oE0TZdUhdV4/видео.html There is a graph at the end of the video showing the graph of the function (3^x-3^-x)/...
How can we use L'Hôpital's Rule to find the Limit
Просмотров 47316 часов назад
Take the limit of x approaches 0 of f'(x)/g'(x) . We need to manipulate this equation as we have an exponential function not a fraction. ruclips.net/video/L5GUvn6Pxys/видео.html ruclips.net/video/CrKURHUKKuI/видео.html ruclips.net/video/9JfhV2Dimms/видео.html ruclips.net/video/oE0TZdUhdV4/видео.html There is a graph at the end of the video showing the graph of the function (3^x-3^-x)/(2^x=2^-x)...
Integration by Substitution or Power Reduction
Просмотров 26714 дней назад
Here we solve an Integral by substitution and then a power reduction formula. Substitute with a trig substitution using tan x = /theta and dx=sec^2\theta d\theta. Then we us a power reduction formula for sin^n\theta ruclips.net/video/1YrehBTkHVk/видео.html ruclips.net/video/OXbNiHjrJew/видео.html ruclips.net/video/v5yV9mWb2PM/видео.html ruclips.net/video/VHjBjiySulY/видео.html ruclips.net/video...
Closed Contour Integration
Просмотров 168Месяц назад
Complex Analysis Closed Contour Integrals ruclips.net/p/PLoiIZJd-TWlWSFQ0qtQbQEwecfAFkIsDu ruclips.net/p/PLoiIZJd-TWlWO1YP6DwfFOr9pATgv-ZBM ruclips.net/p/PLoiIZJd-TWlVuAHQeIjt8kklckFMDfdqL ruclips.net/video/mH6qtzFzN7c/видео.html ruclips.net/video/Rvovi21iV-Y/видео.html ruclips.net/video/IjPmIQQrvgs/видео.html ruclips.net/video/dvEAgYo6P3o/видео.html youtu.be/6HadSFb ruclips.net/video/dvv0HzuB1...
Trig Identity for sin^6 theta using Complex Analysis
Просмотров 93Месяц назад
Use Complex Analysis to find a Trig Identity for sin^6(theta) using z=cos(x) isin(x) and z^n and z^-n ruclips.net/video/2kR5gwPQTOQ/видео.html ruclips.net/video/4pPWPsk9-EY/видео.html ruclips.net/video/IjPmIQQrvgs/видео.html ruclips.net/video/HWV45sysdqg/видео.html ruclips.net/video/RptsdGa3IkA/видео.html ruclips.net/video/VbQ-UqqIHqI/видео.html #complexnumbers #conjugate #tangent #imaginary #r...
No Solutions to a Quadratic Congruence ?
Просмотров 244Месяц назад
The question is x^2 5x 1 0 modulo 13. Take the square to set up the equations and then use Quadratic Residues and Quadratic non Residues to see if there is a Solution. ruclips.net/video/aVlHh8Cb4qs/видео.html ruclips.net/video/pfIsKIsbMCE/видео.html ruclips.net/video/e4kxTexmO1w/видео.html ruclips.net/video/NmWtV0jmmnw/видео.html ruclips.net/video/Kv3otY0MTSw/видео.html #quadraticequations #con...
Trig Identity for cos^7theta using Complex Analysis
Просмотров 207Месяц назад
Use Complex Analysis to find a Trig Identity for cos^7(theta) using z=cos(x) isin(x) and z^n and z^-n ruclips.net/video/bbxxw07fb-I/видео.html ruclips.net/video/4pPWPsk9-EY/видео.html ruclips.net/video/IjPmIQQrvgs/видео.html ruclips.net/video/HWV45sysdqg/видео.html ruclips.net/video/RptsdGa3IkA/видео.html ruclips.net/video/VbQ-UqqIHqI/видео.html #complexnumbers #conjugate #tangent #imaginary #r...
Complex Transform z-plane to w-plane
Просмотров 122Месяц назад
Transformations from the z-plane to the w-plane in Complex Analysis. Show that the transformation w=2z/3z-2 transforms y=x/3 to a circle. We find the centre of the circle and the radius of that circle. ruclips.net/video/7kPF11-H7vc/видео.html ruclips.net/video/4pPWPsk9-EY/видео.html ruclips.net/video/IjPmIQQrvgs/видео.html ruclips.net/video/HWV45sysdqg/видео.html ruclips.net/video/RptsdGa3IkA/в...
Integration by Substitution
Просмотров 6572 месяца назад
Here we solve an Integral by substituting a different value rather than the obvious quadratic. Substitute with a trig substitution using tan x = x 4 . Good things happen after this step ruclips.net/video/1YrehBTkHVk/видео.html ruclips.net/video/OXbNiHjrJew/видео.html ruclips.net/video/v5yV9mWb2PM/видео.html ruclips.net/video/VHjBjiySulY/видео.html ruclips.net/video/ZEOk_DljuTY/видео.html ruclip...
Area Between 2 Parabolas using Integration
Просмотров 1442 месяца назад
Find the Area between 2 Parabolas using Integration ruclips.net/p/PLoiIZJd-TWlXNenFSn8hUX jqba6xPW8 ruclips.net/p/PLoiIZJd-TWlUZuHipKsTacUUnd3dKTV2r ruclips.net/p/PLoiIZJd-TWlWxbfUcUCSw5i8nyfSzcapB ruclips.net/p/PLoiIZJd-TWlWR4ofFEGdl_wqyrv3ymKot #integration #doubleintegrals #doubleintegral #doubleintegration #calculus #calcio #mathskills #mathstricks
Double Integrals over a Finite Region
Просмотров 2102 месяца назад
Double Integral of x^2y within the Normal Region of the Ellipse of x^2 3y^2=20 and the line that joins the ve y intercept and the ve x-intercept. We Normalise the integral with regards to the x-axis so then we need to solve the equations with respect to y for the y parameters and the range of x for the x parameter ruclips.net/p/PLoiIZJd-TWlXNenFSn8hUX jqba6xPW8 ruclips.net/p/PLoiIZJd-TWlUZuHipK...
Complex Conjugate of Tangent
Просмотров 792 месяца назад
Here we find a nice way of writing the complex conjugate of tan z and also use this method to find the sum rule for tangent ruclips.net/video/7kPF11-H7vc/видео.html ruclips.net/video/4pPWPsk9-EY/видео.html ruclips.net/video/IjPmIQQrvgs/видео.html ruclips.net/video/HWV45sysdqg/видео.html ruclips.net/video/RptsdGa3IkA/видео.html ruclips.net/video/VbQ-UqqIHqI/видео.html #complexnumbers #conjugate ...
Use Residue Theorem to Integrate
Просмотров 3202 месяца назад
Complex Analysis Find the residues of f(z) = z 1/z(z^2 4) We first of all find that the functions has simple poles at z=0 , 2i , -2i. Then we can use the result of 2ipiS ipiT S is the sum of the residues in the upper half complex plane. T is the sum of the residues on the real axis ruclips.net/p/PLoiIZJd-TWlWSFQ0qtQbQEwecfAFkIsDu ruclips.net/p/PLoiIZJd-TWlWO1YP6DwfFOr9pATgv-ZBM ruclips.net/p/PL...
Use Laurent Series to Find the Residues
Просмотров 9093 месяца назад
Com[plex Analysis Find the residues of f(z) = 2-e^-2iz/z^2 We first of all find that the functions has 2 simple poles at z-0. The Laurent Series can be found by manipulating the Taylor Series of a known function. ruclips.net/p/PLoiIZJd-TWlWO1YP6DwfFOr9pATgv-ZBM ruclips.net/p/PLoiIZJd-TWlVuAHQeIjt8kklckFMDfdqL ruclips.net/video/mH6qtzFzN7c/видео.html ruclips.net/video/Rvovi21iV-Y/видео.html rucl...
Radius of Curvature for a Parametric Curve
Просмотров 573 месяца назад
Radius of Curvature for a Parametric Curve
Taylor Polynomial for sinh^3(x)
Просмотров 573 месяца назад
Taylor Polynomial for sinh^3(x)
Length of a Helical Spiral
Просмотров 713 месяца назад
Length of a Helical Spiral
Calculate the Length of a Helix
Просмотров 3363 месяца назад
Calculate the Length of a Helix
Polynomial Long Division with 2 Variables
Просмотров 303 месяца назад
Polynomial Long Division with 2 Variables
Integration Trig Functions without Trig Identities
Просмотров 664 месяца назад
Integration Trig Functions without Trig Identities
The Gamma Function Eulers Integral of the Second Kind
Просмотров 1634 месяца назад
The Gamma Function Eulers Integral of the Second Kind
Use Radius of Curvature for Equation of the Circle
Просмотров 414 месяца назад
Use Radius of Curvature for Equation of the Circle
Cyclotomic Polynomials and The Mobius Function
Просмотров 1624 месяца назад
Cyclotomic Polynomials and The Mobius Function
The General Leibniz Rule for Differentiation
Просмотров 2294 месяца назад
The General Leibniz Rule for Differentiation
How to Find Residues with g/h Rule and Differentiation
Просмотров 2,2 тыс.4 месяца назад
How to Find Residues with g/h Rule and Differentiation
Laplace Transform of Second Derivative
Просмотров 2,3 тыс.4 месяца назад
Laplace Transform of Second Derivative
Differential Geometry Magnitude of Radius of Curvature
Просмотров 1665 месяцев назад
Differential Geometry Magnitude of Radius of Curvature
Linear Combinations of Vectors 3D
Просмотров 475 месяцев назад
Linear Combinations of Vectors 3D
What is Curvature and Radius of Curvature - Differential Geometry
Просмотров 1905 месяцев назад
What is Curvature and Radius of Curvature - Differential Geometry

Комментарии

  • @AramisMarion
    @AramisMarion 3 дня назад

    Thanks for the breakdown! A bit off-topic, but I wanted to ask: I have a SafePal wallet with USDT, and I have the seed phrase. (alarm fetch churn bridge exercise tape speak race clerk couch crater letter). Could you explain how to move them to Binance?

  • @jam9339
    @jam9339 3 дня назад

    How would you use l'hopital's rule if the function is not a fraction like xe^(1/x) as x approaches 0

    • @sumchief
      @sumchief 3 дня назад

      try this ruclips.net/video/L5GUvn6Pxys/видео.html

  • @tikarambhusal8657
    @tikarambhusal8657 4 дня назад

    Excellent

  • @alinahassan-n9m
    @alinahassan-n9m 4 дня назад

    really helpful. thanks

  • @NimanshiRathor
    @NimanshiRathor 5 дней назад

    Thnx it is so much helpful 😁❤

  • @alexchan4226
    @alexchan4226 6 дней назад

    k(m)k(n) = k^2(mn) = k(mn)

  • @SultanaKhan-lu8zn
    @SultanaKhan-lu8zn 6 дней назад

    81

  • @MikeMagTech
    @MikeMagTech 7 дней назад

    Excellent video! Merry Christmas ; )

    • @sumchief
      @sumchief 6 дней назад

      Thank you very much , and have a Great Christmas too

  • @goose.mp3
    @goose.mp3 12 дней назад

    Thank you sumchief

  • @MathematicIsFun
    @MathematicIsFun 16 дней назад

    Great video, but as you said in your other video the sum of columns and rows of non principal characters must be zero, but sum of your 13 and 7 column don't add to zero, couldn't we distribute the minus signs in column 17 in a different order to get sums add to zeros everywhere?

  • @MasayoshiTakanaka-w5k6c
    @MasayoshiTakanaka-w5k6c 17 дней назад

    If you already know that the derivative of sin(x) is equal to cos(x), why do you calculate the limit of sin(x)/x approaching 0 ?

  • @williammartin4416
    @williammartin4416 20 дней назад

    Thanks!

    • @sumchief
      @sumchief 20 дней назад

      Thanks for your support

  • @videofountain
    @videofountain 20 дней назад

    Thanks. At 11:20 some people might recognize ((x squared) - 1) = (x+1)(x-1). A substitution would produce (x to the fourth power) . Long division might not be necessary.

  • @livebuzz3685
    @livebuzz3685 22 дня назад

    why you didn't divide by 2 immidiately after 2x^2 - 12x + 4 = 0 (mod 19) --> x^2 - 6x + 2 = 0 (mod 19) --> x^2 - 6x + 9 = 7 (mod 19) --> (x - 3)^2 = 7 (mod 19)?

    • @sumchief
      @sumchief 22 дня назад

      You are correct, you could of done that, as always there is more than 1 method to solve these. Thanks for watching.

  • @Fluid_Mechanics
    @Fluid_Mechanics 26 дней назад

    thank you for this video, it is clear but you must replace B by Bn and you find y(x)=sum (i between 0 and n) of Bn sin[(n Pi ln(x)/ln(2)]/x

  • @KARIMSLOCH1
    @KARIMSLOCH1 26 дней назад

    thank you for this video, it is clear but you must replace B by Bn and you fon y(x)=sum (i between 0 and n) of Bn sin[(n Pi ln(x)/ln(2)]/x

  • @CORDEIROMAT
    @CORDEIROMAT 27 дней назад

    tanz = sinz/cosz then from cosz cames others singularities I think.

  • @sravanguruju2569
    @sravanguruju2569 29 дней назад

    Thank you

  • @rmw1246
    @rmw1246 Месяц назад

    Mangoldt, not Margoldt and this is NOT a proof, just a demonstration for n=18.

  • @samwauchope7537
    @samwauchope7537 Месяц назад

    Well explained and very clear. Thank you!

  • @LemoUtan
    @LemoUtan Месяц назад

    You read out 26962 backwards!

  • @ruthestanislao9074
    @ruthestanislao9074 Месяц назад

    That was a clear explanation! I needed it for my homework in theory on statistical inference.

  • @nwachiikechukwu
    @nwachiikechukwu Месяц назад

    This is easy to understand and very helpful, thank you.

  • @MikeMagTech
    @MikeMagTech Месяц назад

    Thank you for another excellent video. I love complex analysis, and have always found your complex analysis videos to be the best.

  • @AI_LIYA
    @AI_LIYA Месяц назад

    👍

  • @abhishekparida22
    @abhishekparida22 Месяц назад

    Shouldn’t x = 0, 1?

  • @tobyfitzpatrick3914
    @tobyfitzpatrick3914 Месяц назад

    Your Chi's look more like X's. Yuck.

    • @anany2836
      @anany2836 23 дня назад

      Thats only how it's written Sherlocks.

  • @ekoi1995
    @ekoi1995 Месяц назад

    i thought it was a finite expansion lol. i was also thinking of pi as an exponent, i guess it'll have inifinite terms like these.

  • @noomade
    @noomade Месяц назад

    Hi, Can you explain the error function `log(n)/10` please.

    • @sumchief
      @sumchief Месяц назад

      Thanks for watching , Its a way of increasing the accuracy for more values of n

    • @noomade
      @noomade Месяц назад

      @@sumchief Hi, Thanks for responding. Your vid is great. What I was asking was how you derived it? It would be nice to know why that gives a better answer... I saw someone else use sqrt(2 . pi . n) instead. I am assuming theirs is from stirling's approximation but it did not seem as good as yours.

    • @sumchief
      @sumchief Месяц назад

      I originally tried ln(n)/n , from The Prime Number Theorem , after a bit of tweaking this gave more accuracy. These were the motivation behind them ruclips.net/video/-ae4KZ1phzg/видео.html and ruclips.net/video/BvqFks0Twa0/видео.html

    • @noomade
      @noomade Месяц назад

      @@sumchief Thank you!

  • @paterfamiliasgeminusiv4623
    @paterfamiliasgeminusiv4623 Месяц назад

    goddamn math is so fucking boring it should basically be done by machines at this point, why do we humans even bother at this point it's just a series of subtle and pedantic rules applied over and over again? we should do it all via computers except for maybe 1000 humans who dedicate their lives to actually advancing the field. just kill me already.

  • @SnakeGreen
    @SnakeGreen Месяц назад

    What if you get a case where you cannot easily find a square number for the square root? Eg: x^2+5x+1 = 0 (mod 13)

    • @sumchief
      @sumchief Месяц назад

      Try this, thanks for watching ruclips.net/video/FnJi193ggXc/видео.html

  • @Alan-zf2tt
    @Alan-zf2tt Месяц назад

    First!

  • @gamerawins5687
    @gamerawins5687 Месяц назад

    why not 2x^2+16x+34=t^2

  • @InMemoriamDei
    @InMemoriamDei Месяц назад

    Hey, I'm not sure what the purpose of the video is. I teach math at university, and I gotta tell you that substituting 2x^2+16x+34 gives you an immediate answer to the problem. No logarithm no sec function. Did you just wanna try to make things extra complicated? Seems a little disingenuous and leads people to believe that math is difficult. This video does math a disservice.

  • @cycklist
    @cycklist 2 месяца назад

    If you divide that final equation by 2 on both sides, don't you get a different radius?

    • @sumchief
      @sumchief 2 месяца назад

      Thanks for watching, agreed

  • @MikeMagTech
    @MikeMagTech 2 месяца назад

    Great job as always. Thank you!

  • @Lupus_Cinereus
    @Lupus_Cinereus 2 месяца назад

    To nie jest szereg, dziecko, a jego kawalek, czyli wielomian Taylora ) Dislajk.

  • @ALASTAIRDEANS
    @ALASTAIRDEANS 2 месяца назад

    Thank you! Especially for explaining this with an actual example. I've been going nuts trying to figure out residues and everything I look in always seems to hide the ball.

  • @martiadan392
    @martiadan392 2 месяца назад

    Very useful, but I don't think I quite get why (A = -5/4) instead of (A = 4/-5).

    • @sumchief
      @sumchief 2 месяца назад

      Thanks for watching .... @ 04:10 I wrote 4/-5 =A , @ 04:16 I mistakenly wrote its reciprocal. Correct answer is -4/5 as per. Thanks for pointing it out

  • @Alan-zf2tt
    @Alan-zf2tt 2 месяца назад

    These are great! But I have a question/problem arising from 8:05 in video. If we expect pointwise convergeance then result holds and is good and wholeseome. If I say, well look - I need an error bound on this. If it approaches a fixed point with error bound plus or minus one ± 1 say inclusive on [-1, 1] then a finite number of ambiguities arise. Can I say it does converge to zero with error ε in [-1, 1] or equivalently it converges to 1 within error ranging [-1, 1] or converges to -1 within error ranging [-1, 1] AS far as I am concerned, say, an error bound of ±2 on the limit value is perfectly acceptable 0 ±1 or 1±2 or -1±2 is acceptable on ± infinity ?

  • @SmilingParrot-gu5el
    @SmilingParrot-gu5el 2 месяца назад

    Amazing 🤩

  • @WangodaJerome
    @WangodaJerome 2 месяца назад

    Not clear video

  • @rohitbiswaslit93
    @rohitbiswaslit93 2 месяца назад

    Thank you so much

  • @anthot7361
    @anthot7361 2 месяца назад

    2025 who'se watchign

  • @anthot7361
    @anthot7361 2 месяца назад

    hell yeah man, thanks for the help

  • @Alan-zf2tt
    @Alan-zf2tt 2 месяца назад

    I echo the previous three comments and ponder: Hey! Where is Prime Number Theorem? I can't find it - googled it and results speaks in a language I have yet to understand. I am sure your version will make more sense to me (please?)

  • @mlg8849
    @mlg8849 2 месяца назад

    This is going to make me kill mysefl

  • @vishalkulkarni3977
    @vishalkulkarni3977 2 месяца назад

    In 15:37 -3 is congurent to 5 mod 8 and not 5 mod 4 right?

  • @lindseyliu2169
    @lindseyliu2169 2 месяца назад

    Thank you! So helpful!

  • @PunmasterSTP
    @PunmasterSTP 2 месяца назад

    Of cosh you went on a tangent, and it was complex, but it was also great!