Man, I am getting more into ML and thinking about PhD, and sometimes when I do math stuff by hand, I want quick validation, and this, this is awesome! Great content!
I love your channel!!! Your content is unique!! Please keep it up!! As a mechanical engineering student learning python by myself, your channel is my biggest source of inspiration and information. Thank you so much 🙏
Dude you're awesome!! Love the intros where you convince us that knowing python is important when we obviously agree. Thank you for the informative videos
I wonder how I managed to pull though my bachelor's degree in mathematics without ever hearing about sympy. This is gold! Thank you for this presentation.
i noticed your little thing about trig. when i was learning the thing that made trig simple for me was just to simply write out the number instead of the trig function and then it just looks like regular math. this is just something I did to make it easier on me as before I memorized all the the tables I use to have a hangup with trig as well. and then just as a function of time you just automatically end up using the symbols cause it's easier and less writing. great vid
Awesome bro 👍😌👌❤️, I am Learning Data Science & Machine Learning. After completing Calc 1, Calc 2 & Calc 3 on pen & paper I was searching the Calculus concept in python.
Once again, another nice, straightforward, and inspiringly informative video! I learned something new again particularly the .n() method at the end and your use of sympy's Rational() method. I'm actually amazed that sympy was able to do the integrals in this video because in my own experience, sympy was unable to take the inverse laplace transform of not very complicated rationals, like it can take the partial fraction expansion which outputs simple rationals, but it can't get the inverse laplace transform of those! Also, about sympy not giving you the integration constant, the sympy documentation actually says that if you want sympy to yield the integration constant, you reframe the problem as a differential equation problem and then use dsolve which outputs the antiderivative along with the constant. Again, thanks for the awesome python vids! I get motivated to do and enjoy Python ❤️
If it's finicky to cut and paste the expression into the next line of code, suppose you wrote a bunch of stuff on line 38, ie cos(x/1)-tan(x) you can write sp.diff(_38) on the next line instead of cut and paste or retyping and it will give you the derivative of whatever is on line 38. As far as I'm aware this only works in Jupyter Notebook.
now, I know there are a lot of people on this who play with code, or play with math, and I just want to say that this kind of content (@Mr. P Solver) helps to make math so much more accessible, and this accessibility can be a game changer for the many many people. Thanks so much for the content, and keep, it coming!!!!
This is cool but I believe when I tried it - wolfram had actual solving explanation of differential equations at least, like what transformations you apply at any step, and thats pretty cool, helps you understand it actually and not just get an answer. Can sympy do this too?
I'm on my fourth periodo in Eletroninc Engeneering, i failed some subjects, but that's it, and just learned of this in python, the amount of things useful for me that this has is amazing, i believe that from this point onward in my course i will need more complex calculations done faster and sympy or other modules are gonna help me with that
When I run the code why doesn't my Jupyter notebook print the mathematical expressions in this beautiful form instead I get the usual 1/sin(x) type syntax? Any idea anyone?
Really nice video. However please note that in the line between 76 and 77 the terms in the sequence are NOT going positive-negative. It is in fact more or less the harmonic series.
I personally think that python is the best at calculus. Other programming languages like C++ tend to be really difficult to work with. With C or C++ you have to focus more on the programming language itself rather than the actual mathematics itself. Python makes it very easy to solve things like differential equations without much of a hassle. Especially when it comes to libraries like Sympy and Scipy. Even solving a derivative in C++ is very tedious. In python with Sympy, you can find basically every kind of derivative in a couple of lines. Python has been such a useful tool for me when I am trying to model physical systems or working with differential equations.
Buen video crack, sos el mejor!. I have a question, it is possible to define a symbolic function f(x) and then evaluate it at some symbolic point x=a (symbolic) or a numerical point, for example, at x=1?
Sympy's symbolic functions are undefined functions so you can't assign values or expressions to them, but there's still a workaround/solution to your problem. You define a symbolic expression, say, f = sympy.sin(x), and if you want to evaluate it at certain points, symbolic or numeric, you use sympy's subs method. Using my example, you do f.subs(x, a) or f.subs(x, 1). In the case of a numerical point, if you want it to output floating-point values, you use f.evalf( subs = {x:1} ). This is more preferable, more numerically stable, and what the sympy documentation recommends than using evalf immediately after using subs like f.subs(x, 1).evalf(). If you want more information, sympy's documentation is one of your primary resources docs.sympy.org/latest/index.html.
Is there a mechanism by which a user can input formulas or equations in native format, and for us to save the same in a database? I have seen MathType, which is very close to what I have in mind, and am yet to figure out how it should sit in the database. Any quick thoughts/pointers?
Ok, but how can i see the math symbols like you, now I'm using replit (online compiler). I'm beginning learning python, so it maybe sounds like a dumb question hehe
Hey, mate I have a question for you. at 6:36 you have 2 limit question. For the first one x -> 0+, and the result is +2, For the second one x -> 0-, and the result is 0 Now normally as far as I know if the results are different, then there shouldn't be limit at x -> 0. However, when I take the limit x->0 there is an answer and its +2 Why is this happening?
Sympy doesn't do limits "from both sides" by default. If you don't specify a direction, it goes + by default. If you want a bidirectional limit, you need to specify dir='+-'.
@@nburo But the example I gave here is a simple one. What I really want to say is this: Sympy will give me an answer every time. Since this is a simple example, I know the answer. But what if I ask a question whose answer I don't know? How can I be sure that the answer it gives me is correct? I wish it had a guide that's simple yet comprehensive.
This is pretty impressive. Is there a way to integrate sympy with LaTeX? I mean, I know how to write expressions in LaTeX. Could I use LaTeX to write the Sympy expressions?
Peace be upon you Oh teacher professor I have a question if you can help me be grateful Let's say we have a series made up of X(n) =[(n/1),(n/2),(n/3),..., (n/n)] How do I tell Python to get me natural numbers (meaning non-fractional numbers) from this series if the value of n=100
Hmm. Says: "I don't like trig functions. It's a complicated relationship between math and me. . . " 🤔 What an odd thing to say. Why not try practicing some Tai Chi? It is filled with Trigonometry and diagonal Vectors defining the Body's proper geometry as outlined in the maker's specifications booklet; so that the whole thing is balanced and no one ends up dragging their knuckles through the dirt due to an acquired office chair imbalance affecting posture and gate. 🤗 This is from an actual 1st-year math paper, exam preparations WAIT (Western Australian Institute of Technology) 13-5-1987: $\int\frac{\sqrt{(9-4x^2)}}{x}dx$ = $3\int cosec(\alpha)-sin(\alpha)\enspace d\alpha}$ using the trigonometric method. Now have a look at what SymPy comes up with, innately bypassing lengthy but tidy trigonometric substitutions : sp.integrate(sp.sqrt(9-4*x**2)/x) 😉
![Lp. Сердце Вселенной #60 РОЖДЕНИЕ ЛОЛОЛОШКИ [Финал] • Майнкрафт](http://i.ytimg.com/vi/YoR0pAV9FVQ/mqdefault.jpg)
And this is the lad I hangout with everyday. 10/10 content m8
Literally the thing I was looking for 🥰
Man, I am getting more into ML and thinking about PhD, and sometimes when I do math stuff by hand, I want quick validation, and this, this is awesome! Great content!
Amazing video. You have inspired me to code and continue to learn Calculus. I was about to give up, after 30+ yrs of frustration. Thank you.
I love your channel!!!
Your content is unique!!
Please keep it up!!
As a mechanical engineering student learning python by myself, your channel is my biggest source of inspiration and information.
Thank you so much 🙏
Dude you're awesome!!
Love the intros where you convince us that knowing python is important when we obviously agree.
Thank you for the informative videos
this is the channel that i've always dreamed of.Excellent content!!!
@Ali Burak Ahahaha haklı olabilirsiniz 😂 Ya da belki İngilizce yorum yapmaya çekiniyoruzdur.
@Ali Burak Kesinlikle :) Size de iyi günler
I am retired mining engineer from Mongolia and your videos helped me to improve my knowledge in python usage for mineral processing modelling.
You are very great person for providing this tutorial totally for free
+ It is great cuz this math-physics-programming content is really rare
I’m a geologist & this has helped me a lot. Thanks 🙏
I wonder how I managed to pull though my bachelor's degree in mathematics without ever hearing about sympy. This is gold! Thank you for this presentation.
Awesome. All your contents are unique comparing to several you tubers on Python. interesting.
I wonder why can not get tens of thousands subscribers.
Give it some time, I'm only 4 months old ;)
i noticed your little thing about trig. when i was learning the thing that made trig simple for me was just to simply write out the number instead of the trig function and then it just looks like regular math. this is just something I did to make it easier on me as before I memorized all the the tables I use to have a hangup with trig as well. and then just as a function of time you just automatically end up using the symbols cause it's easier and less writing. great vid
Holy hell, this is life-saving content dude! I've got a very intimidating job that I'm studying for and this is exactly what I need.
Awesome bro 👍😌👌❤️, I am Learning Data Science & Machine Learning. After completing Calc 1, Calc 2 & Calc 3 on pen & paper I was searching the Calculus concept in python.
as a culculus enthusiast, this a good way to learn python
Oh, how I wish this video existed 13 years ago!
Once again, another nice, straightforward, and inspiringly informative video! I learned something new again particularly the .n() method at the end and your use of sympy's Rational() method. I'm actually amazed that sympy was able to do the integrals in this video because in my own experience, sympy was unable to take the inverse laplace transform of not very complicated rationals, like it can take the partial fraction expansion which outputs simple rationals, but it can't get the inverse laplace transform of those!
Also, about sympy not giving you the integration constant, the sympy documentation actually says that if you want sympy to yield the integration constant, you reframe the problem as a differential equation problem and then use dsolve which outputs the antiderivative along with the constant.
Again, thanks for the awesome python vids! I get motivated to do and enjoy Python ❤️
Great video, greetings from Brazil
Lots of love from Eastern Europe!
Awesome! Thank you very much for this content! More stuff on Sympy please!
If it's finicky to cut and paste the expression into the next line of code, suppose you wrote a bunch of stuff on line 38, ie cos(x/1)-tan(x) you can write sp.diff(_38) on the next line instead of cut and paste or retyping and it will give you the derivative of whatever is on line 38. As far as I'm aware this only works in Jupyter Notebook.
Good and informative channel. Being a engineering student, its really useful. Thanks.
This lad is the type of person whom I hang out and philosophy with. Keep it up pal! U r gr8! 😎👌
now, I know there are a lot of people on this who play with code, or play with math, and I just want to say that this kind of content (@Mr. P Solver) helps to make math so much more accessible, and this accessibility can be a game changer for the many many people. Thanks so much for the content, and keep, it coming!!!!
Excellent tutorial about the practical use of Sympy.
Loved your contents!
Can you make a video on solving Partial Differential equations of order 2 (or more) with Python?
Best course ever!! Can you possibly do Calculus Year 3? I assume you plan on doing that too. This is what I've been waiting for a long long time.
Hey, I very much love your channel and it makes me python lover!
😂😂😂😂The song at the beginning inspired me. In fact, it earned you 1 big fan🥳🥳
This is really good content.
Greetings from 🇧🇷.
This is cool but I believe when I tried it - wolfram had actual solving explanation of differential equations at least, like what transformations you apply at any step, and thats pretty cool, helps you understand it actually and not just get an answer. Can sympy do this too?
Doing the final sum number 80 by hand using Fourier series, it is equal to pi^2/3 - pi/2 + 1/4.
I'm on my fourth periodo in Eletroninc Engeneering, i failed some subjects, but that's it, and just learned of this in python, the amount of things useful for me that this has is amazing, i believe that from this point onward in my course i will need more complex calculations done faster and sympy or other modules are gonna help me with that
have subscribed. thanks bro for your efforts. wish i searched and knew about these earlier.
Layed it out so nicely thanks a lot :D
Holy crap!, if I had had this tool when I was in the university, I would have been at NASA instantly!. Thanks for sharing.
Such a wonderful idea and neat explanation, Thank you very much
Amazing video. You have inspired me to code and continue to learn Calculus
“It’s a complicated relationship between math and me but alas” 14:10 … never felt words any more than those
Dudeee you would be a phenomenal teacher
When I run the code why doesn't my Jupyter notebook print the mathematical expressions in this beautiful form instead I get the usual 1/sin(x) type syntax? Any idea anyone?
THE most informative video online
Thanks for this video. My University uses MATLAB and we get free access, but I do a lot of data stuff in Python and prefer Python.
Matlab is amazing…if you can afford it 😆
Sympying my ride! Great work! +1sub
This video is fantastic, why didn’t this get recommended to me before?
"you don't wanna spend hours writing by hand"
That's what I have to do everyday as a mathematics student xD but you get used to it
Yo this dude made nerdy stuff cool
Thanks for this, a nice refresher
What a banger vid, brotha!
Sublime, this is perfect.
Really nice video. However please note that in the line between 76 and 77 the terms in the sequence are NOT going positive-negative. It is in fact more or less the harmonic series.
I personally think that python is the best at calculus. Other programming languages like C++ tend to be really difficult to work with. With C or C++ you have to focus more on the programming language itself rather than the actual mathematics itself. Python makes it very easy to solve things like differential equations without much of a hassle. Especially when it comes to libraries like Sympy and Scipy. Even solving a derivative in C++ is very tedious. In python with Sympy, you can find basically every kind of derivative in a couple of lines. Python has been such a useful tool for me when I am trying to model physical systems or working with differential equations.
24:05 its not “arctan”, its “cotangent”. 🙂
Buen video crack, sos el mejor!.
I have a question, it is possible to define a symbolic function f(x) and then evaluate it at some symbolic point x=a (symbolic) or a numerical point, for example, at x=1?
Sympy's symbolic functions are undefined functions so you can't assign values or expressions to them, but there's still a workaround/solution to your problem. You define a symbolic expression, say, f = sympy.sin(x), and if you want to evaluate it at certain points, symbolic or numeric, you use sympy's subs method. Using my example, you do f.subs(x, a) or f.subs(x, 1). In the case of a numerical point, if you want it to output floating-point values, you use f.evalf( subs = {x:1} ). This is more preferable, more numerically stable, and what the sympy documentation recommends than using evalf immediately after using subs like f.subs(x, 1).evalf(). If you want more information, sympy's documentation is one of your primary resources docs.sympy.org/latest/index.html.
Brilliant explanation! Appreciate!
Love your vids keep it up!
With this video you probably saved my degree ^^
1:00 - The image of a legend.
Is there a mechanism by which a user can input formulas or equations in native format, and for us to save the same in a database? I have seen MathType, which is very close to what I have in mind, and am yet to figure out how it should sit in the database. Any quick thoughts/pointers?
Gorgious. Can you do Pade integrals with Python? And Analytic continuation? Hestenes Geometric Algebra ?
you earned a new subscriber
woah ! Great content man.
Also your dissstracks🤣
This is just perfect 💯
Thank you for making simple and intersting
Thank you very much for this nice tutorial.!!!!
Truly fascinating...
This video is really awesome
The content is excellent
Thank you so much sir☺
Thank you very much! :)
Ok, but how can i see the math symbols like you, now I'm using replit (online compiler). I'm beginning learning python, so it maybe sounds like a dumb question hehe
If I'm using Pycharm is there a way for the output to be rendered in Latex?
your channel's the best
This guy is like an angel from the fucking sky
Hey, mate I have a question for you.
at 6:36 you have 2 limit question.
For the first one x -> 0+, and the result is +2,
For the second one x -> 0-, and the result is 0
Now normally as far as I know if the results are different, then there shouldn't be limit at x -> 0.
However, when I take the limit x->0 there is an answer and its +2
Why is this happening?
Sympy doesn't do limits "from both sides" by default. If you don't specify a direction, it goes + by default. If you want a bidirectional limit, you need to specify dir='+-'.
@@nburo But the example I gave here is a simple one. What I really want to say is this: Sympy will give me an answer every time. Since this is a simple example, I know the answer. But what if I ask a question whose answer I don't know? How can I be sure that the answer it gives me is correct? I wish it had a guide that's simple yet comprehensive.
Quality content🤩🤩🤩🤩🤩
do you have videos on portfolio optimization/management and data science in general?
Great content.
I was really hoping the class was like the intro song … all sing along lesson
amazing stuff. thanks you!
Sympy you gotta do it :D
God explanation bro. really enjoy your tutorial.
Awesome video!
Hey, what is the difference using "import sympy as smp" and "from sympy import *". Thansk for your reply and grettings from Perú.
This is pretty impressive. Is there a way to integrate sympy with LaTeX? I mean, I know how to write expressions in LaTeX. Could I use LaTeX to write the Sympy expressions?
Hello ! Could you pass the path, by which you can use the notebook with python, for calculus ?
damn that song was superb
But can you put this on a TI nspire cx 2…not the CAS version?
IMO, nobody should be paying such a ridiculous amount of money for Mathematica when there are such good free and open source alternatives.
How to get colored functions? For instance, smp.diff is all black for me.
This is amazing!
if they don't play this intro rap song in my wedding, I'll riot!
Peace be upon you Oh teacher
professor I have a question if you can help me be grateful
Let's say we have a series made up of
X(n) =[(n/1),(n/2),(n/3),..., (n/n)]
How do I tell Python to get me natural numbers (meaning non-fractional numbers) from this series if the value of n=100
Wonderful
Help me please :) How do I write ln(x-1) in Sympy. I do not really understand that part.
thanks
What is your opinion on people saying that calculus is debunked and is a hoax?
is this a jupyterlab or jupyter notebook? What is this interfcae?
Hmm. Says: "I don't like trig functions. It's a complicated relationship between math and me. . . " 🤔
What an odd thing to say.
Why not try practicing some Tai Chi?
It is filled with Trigonometry and diagonal Vectors defining the Body's proper geometry as outlined in the maker's specifications booklet;
so that the whole thing is balanced and no one ends up dragging their knuckles through the dirt due to an acquired office chair imbalance affecting posture and gate. 🤗
This is from an actual 1st-year math paper, exam preparations WAIT (Western Australian Institute of Technology) 13-5-1987:
$\int\frac{\sqrt{(9-4x^2)}}{x}dx$ = $3\int cosec(\alpha)-sin(\alpha)\enspace d\alpha}$ using the trigonometric method.
Now have a look at what SymPy comes up with, innately bypassing lengthy but tidy trigonometric substitutions :
sp.integrate(sp.sqrt(9-4*x**2)/x) 😉
Which text editor are you using bro.
Vscode terminal not displaying the result like yours
Jupyter Notebook
thanks this is great
Amazing. *You* really think that *you're* solving the problem.
What do you mean?
@Andrea-gb9qc you demonstrated how to use a tool that provides an answer to the statement. You didn't use brain power to solve the problem.