A standard square in the xy-plane is a unit square whose corners have integer coordinates. This note shows that when a polyomino consisting of an odd number of standard squares is cut into...

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This note shows that graphs with \(n\) vertices containing no complete graph with \(r \) vertices, have no more than \( (r - 2)n^2/(2r - 2) \) edges , for \( r \geq 2\).

Let \(X\) be a nonempty metric space without isolated points. If \(G \) is a countable intersection of open sets, the author shows that there is a function \(\phi (x) \) that is continuous...

*Using a result on periodic continued fractions, the author presents a rational function method of approximating square roots that is faster than Newton's method.*

*Let \(G\) be a group and \(C(a)\) be the centralizer of \(a\in G\). The author studies the properties of the skew centralizer \(B(a)=\{x\in G : xa=a^{-1}x \}\) and the reversing...*

*A real matrix is called square-palindromic if, for every base \(b\), the sum of the squares of its rows, columns, and four sets of diagonals (as described in the article) are unchanged when...*

*The author clarifies the wording of Cramer's rule, sidestepping a common misconception. The Kronecker-Capelli theorem is introduced to help see Cramer's rule in a more complete...*

Like Pascal’s triangle, Faulhaber’s triangle is easy to draw: all you need is a little recursion. The author demonstrates that the rows are the coefficients of polynomials...

*The author considers the effects of inflation and interest rates on computing the present value of $100 three years from now.*

*It is well known that maximal ideals in the ring of continuous functions on the closed interval \([0, 1]\) are not finitely generated. Less well known is the fact that these ideals are not...*