I have a problem: Let $f(x)=\ln(x)$ solve each of the following equations for $x$. the question is in three parts $(f(x))^{-1}=5$ $f^{-1}(x)=5$ $f(x^{-1})...

I'm trying to "variance-normalize" an image. In order to do so, I subtract the mean from the pixel value (to have a $0$ mean), and divide by the stan...

I've implemented a Quaternion Kalman filter and i have the choice between multiple way to integrate angular velocities. The goal is to predict futur ...

For my calculus exam, I need to be able to identify if a function is indifferentiable at any point without a graph. I thought this would be rather simple,...

I got this matrix : For me, since Column 1 = Column 3 = Column 4 It implies that the maximum rank of this matrix should be 2. Since Column 2 is linearly i...

Show that the open rectangle $\square=(a,b)\times(c,d)$ is open in $\Bbb R^2$. I can see that if we took any point $(x,y) \in \square$ with $\epsilon <...

Suppose that $A,\;B,\;C,\;$and $X$ are all real commuting matrices. I am curious how to solve $$AX^2+BX+C=0$$ for $X$. In addition what properties do we n...

A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of t...

I've heard that rotational symmetry is where a figure is rotated a bit before it looks the same. in that case, what rotational symmetry is there on a...

Is a Whole Number part of A Rational Number or a whole number??