Questions tagged [calculus]
Calculus is the study of change of one or more variables with respect to another variable. Calculus has two main operators: differentiation and integration. Differentiation can be used to study the change of one variable with respect to another. Integration can be used to find the area bounded by a function.
calculus
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What is causing these mathematical inaccuracies in my code? [duplicate]
After learning that the function representing the velocity of an object with respect to time is the derivative of the function representing the position of the object with respect to time, I made this ...
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How to prove expected residual time formula
Can anyone help me to show that for a general random variable X with a fixed distribution to model the time interval between the independent events. The expected residual time, which is the time one ...
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How to calculate the Area of a sin wave with intersections
I want to generate a sine wave from 2 data points, tmin and tmax. where tmin is where the sin wave starts, and the tmax is the top most point of the sine wave.
Then I want to find where tbase and ...
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Integrations for Two Body Problem in python
I am trying to create as the first stage of a larger project goal a two body Sim in python with pygame to display on screen the objects.
My main problem at the moment is that the orbiting satellite is ...
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Why is the matrix transposed when calculating the gradient in a multiple linear regression?
I am taking an online machine learning course and when talking about multivariable linear regression they used the following function to calculate the gradient:
def gradient(X, Y, w):
return 2 * np....
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Getting a function to call an equation
I am creating a function to create an approximate solution for differential equations using Euler's method. I can get the code to work, but ran into trouble when trying to convert this into a ...
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SymPy - Can't calculate derivative wrt expression, is there an alternative for intermediate expressions?
I am going through Andrej Karpathy's video "The spelled-out intro to neural networks and backpropagation: building micrograd", and in the "manual backpropagation example #1: simple ...
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Is this solvable using sympy? - no output after 1 day
The original question:
My approach: The electric field is already given in the textbook as
\begin{equation}
E(x, y, z) = \frac{q}{4\pi\epsilon_0} \left[
\frac{\hat{x}x + \hat{y}y + \hat{z}(z - z_0)...
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How to calculate correct normals on a deformed plane with fractal brownian motion
Using OpenGL, I am vertically displacing vertices in a flat horizontal plane by the function to simulate water waves. I then calculate the normal vectors to each vertex by using the partial ...
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Float overflow in scipy quadrature
I am trying to calculate the following function:
For every point x I need to evaluate the integral numerically since it can't be solved analytically.
(At least sympy and WolframAlpha can't do it) I ...
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Why not Back propagate through time in LSTM , similar to RNN [closed]
I'm trying to implement RNN and LSTM , many-to-many architecture. I reasoned myself why BPTT is necessary in RNNs and it makes sense.
But what doesn't make sense to me is, most of resources I went ...
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Why is my code returning all zeros for one of my arrays?
I am trying to write a code in matlab that will help me figure out the value of a variable in an equation. It is much too difficult to isolate that variable and solve for it, so I decided to try and ...
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How can I solve my 1D finite volume heat transfer problem using the Crank-Nicolson method?
I was hoping to get some help solving the heat transfer equation using the Crank-Nicolson method.
I have my heat transfer equation in linear form:
Equation 1
\frac{\partial T}{dt}=\omega \left ( A\...
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Can't find out how to compute derivative
Yo, guys, I got a question, is there any way to improve this or maybe better way to calculate it? Because the only way to calculate derivative very accurate I can think of is this.. lol, its just ...
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How to numerically approximate solutions to a set of two second order two-variable PDEs using a python script (boundary value problem)?
I have a set of two PDEs like so (pseudo-code):
r'' = (s')^2 * r - G*M*r^-2
r' = -(r*s'')/(2*s')
s and r are functions of time, ' the derivative, G and M are constants.
They were obtained from the ...