Binary multiplication 1111 x 1111?
I am confuse that how carry works while multiplying two binary numbers 1111 x 1111 = 011100001 but how to handle carries in calculation? Can anyone please...
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Is $f(x)=|x|$ a convex function?
While reading an article on Convex functions, I came across the following statement: The absolute value function $f(x)=|x|$ is convex (as reflected in the...
![Is $[p \land (p \to q)] \to q$ a tautology?](https://drift.fundegar.com/uploads/is-p-land-p-to-q-to-q-a-tautology_720.jpg)
Is $[p \land (p \to q)] \to q$ a tautology?
I am new to discrete mathematics, and I am trying to simplify this statement. I'm using a chart of logical equivalences, but I can't seem to fin...
Why is the matrix product of 2 orthogonal matrices also an orthogonal matrix?
I've seen the statement "The matrix product of two orthogonal matrices is another orthogonal matrix. " on Wolfram's website but haven't see...
Verify $\sec(2x) = (\sec^2(x))/(2-\sec^2(x))$
Again, can someone give me just a hint as to how to start this identity verification? I've tried subbing in the all 3 cos double angle identities to ...
![How can I fold paper into 3 x 4 grid? Or prove that it can't be done? [duplicate]](https://drift.fundegar.com/uploads/how-can-i-fold-paper-into-3-x-4-grid-or-prove-that-it-can-039-t-be-done-duplicate_720.jpg)
How can I fold paper into 3 x 4 grid? Or prove that it can't be done? [duplicate]
I am trying to fold paper so that it looks like 3 x 4 grid of 12 rectangles of equal size. Like this https://www.wolframalpha.com/input/?i=3+x+4 Its easy ...
length of intersection of parabolic cylinder and a surface
Let $C$ be the curve of intersection of the parabolic cylinder $x^2 = 2y$ and the surface $3z = xy$. Find the length of the part of $C$ from $(0, 0, 0)$ t...
Why is one the only positive number that is neither prime nor composite?
I've heard stories about why the number $1$ is neither a prime number nor a composite number, even on in the middle of this awesome math page. Just s...
Dividing a triangle into four congruent triangles. Proof how this works?
So for any triangle, you can divide it into four congruent triangles by connecting the midpoints of each side. But I want to see how this works. How does ...
Sectional curvature of symmetric spaces of rank one is pinched
In the Appendix 5 to Ballmann, Gromov and Schroeder's Manifolds of nonpositive curvature, Schroeder mentions that for a rank one symmetric space of n...
