# Questions tagged [transformation]

Transformation has many meanings in mathematics. If using this tag, add another tag related to the object being transformed. If there is a tag for your specific kind of transformations, use that one instead: e.g., (laplace-transform), (fourier-analysis), (z-transform), (integral-transforms), (rigid-transformations).

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### How to find the angle required to rotate a parent frame such that one of the axes of its child frame points to a particular direction? [closed]

My problem is exactly similar to the one discussed here. I want to calculate the the angle required to rotate a parent frame such that a particular axis of the child frame points in the direction of a ...
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### What symbol should I use for non linear proportional to?

Until now, if I had a function $f$ and a monotonic transformation of it $g$, I would write $f \propto g$, however, a colleague of mine pointed out that it's usually considered "proportional to&...
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### Precisely sketch the mapped region and write the equations of its boundaries.

Find the formula for the fractional linear transformation $f$ that maps the points $0$, $-i$, and $2i$ respectively to the points $-1$, $0$, and $3$. Determine and write where the mapping $f$ maps the ...
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### For any functions $f(t)$, $g(t)$, and their Fourier transforms $F(x)$, $G(x)$, the following relation holds

For any functions $f(t)$, $g(t)$, and their Fourier transforms $F(x)$, $G(x)$, the following relation holds: $$\int_{-\infty}^{\infty} f(t) G(t) \, dt = \int_{-\infty}^{\infty} F(x) g(x) \, dx.$$ ...
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### Find the probability distribution density of a random process at the output of a nonlinear circuit

I know: Probability distribution density at the input of the circuit $$W(x) = \frac{\mu}{2\left(1+\mu^2\left(x-m\right)^2\right)^{3/2}}$$ Non-linear function $$f(x) = a_0 + a_1 \cdot x - x$$ ...
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### Help on transformation of boundary conditions

I was working the transformation in this paper A new algorithm for solving classical Blasius equation by Lei Wang The boundary value problem is He used the transformations $$y=f''(\eta),x=f'(\eta)$$ ...
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### Vertical Stretch transformation Question for rational function with variable in numerator and denominator. [closed]

I'm trying to help a student with following rational equation question: Describe the transformations of $$g(x) = \frac{-4x - 2}{7x +1}$$ from the graph of $$f(x) = \frac{1}{x}.$$ The given answers ...
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### Ratio Scale transformation

I am in a pickle, and I would genuinely appreciate it if you could guide me. I spent 2 years to find a way to develop a ratio scale, and I did it; however, it cannot be used the way it is. The scale ...
Is there a transformation that produces a vector with sum $0$? There are positive and negative values and the transformation does not need to be preserve the weights. E.g.: \$f(x_1, x_2, x_3) = (x_1', ...