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  1. Solve this integral for free WiFi - Mathematics Stack Exchange

    I saw this today, I checked in Mathematica and the integral comes out to $\\pi$, but I have no idea how to solve it. FREE Wi-Fi: The Wi-Fi password is the first $10$ digits of the answer. $$\\int...

  2. Newest Questions - Mathematics Stack Exchange

    3 days ago · Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

  3. How many possible combinations in 8 character password?

    I need to calculate the possible combinations for 8 characters password. The password must contain at least one of the following: (lower case letters, upper case letters, digits, punctuations, spec...

  4. Models of $\text {Th} (\mathbb {Z}, +)$ - Mathematics Stack Exchange

    5 days ago · Also, rather than proving directly quantifier elimination for the given axiomatization of $ (\def\Z {\mathbb Z}\Z,+)$, it is actually even simpler to prove it for an axiomatization of $\mathrm {Th} …

  5. Is there a $ (3,3)$-windmill graph with $19$ vertices?

    3 days ago · The present example works out this approach explicitly for the case $m=3$ and $19$ vertices. Try searching first for “triangle-free configuration” or “configuration Levi graph”; you will find …

  6. Assigning $\\{\\pm 1\\}$ weights on $n\\times n$ lattice which ...

    6 days ago · A simple example where it does not work is a $2 \times 2$ grid if you assign $+1$ to all left and bottom boundary values.

  7. Caro Wei bound with second neighbors in triangle free graphs

    Dec 12, 2025 · Caro Wei bound with second neighbors in triangle free graphs Ask Question Asked 8 days ago Modified 8 days ago

  8. linear algebra - Distinction between a vector and its coordinate ...

    6 days ago · This is something that is new to me, as I come from a computational linear algebra background, which blurred this distinction. I would appreciate assistance on whether I am correctly …

  9. How can one find the factorization $a^4 + 2 a^3 + 3 a^2 + 2 a + 1

    3 days ago · @user362873 There are less simple but still computer-free answers to the general case for fourth-degree polynomials. If the rational roots theorem fails to detect a linear factor but the …

  10. what do free variable and leading variables mean?

    Oct 3, 2019 · The terms "leading variable" and "free variable" are usually defined for the matrix representing a system, and only when the matrix is in row-echelon form. The augmented matrix for …