A remark on customary errors made by pupils in mathematics

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

Effects of executive functions and academic emotions on pupils' academic performance in mathematics

Abstract Purpose: The main aim of the present study was to find out the possible effect of executive functions and academic emotions on pupils' academic performance in mathmatics. Methodology:  In this study, the structural equation modeling, type of non-experimental method was implemented. Using sampling method based on the structural equation modeling, 400 (100 girls and 100 boys) in fifth an...

a remark on a remark by macaulay or enhancing lazard structural theorem

A remark on Remainders of homogeneous spaces in some compactifications

‎We prove that a remainder $Y$ of a non-locally compact‎ ‎rectifiable space $X$ is locally a $p$-space if and only if‎ ‎either $X$ is a Lindel"{o}f $p$-space or $X$ is $sigma$-compact‎, ‎which improves two results by Arhangel'skii‎. ‎We also show that if a non-locally compact‎ ‎rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{delta}$-diagonal‎, ‎then...

Strassen's Algorithm Made (Somewhat) More Natural: A Pedagogical Remark

Strassen's 1969 algorithm for fast matrix multiplication 2] is based on the possibility to multiply two 2 2 matrices A and B by using 7 multiplications instead of the usual 8. The corresponding formulas are an important part of any algorithms course, but, unfortunately, even in the best textbook expositions (see, e.g., 1]), they look very ad hoc. In this paper, we show that the use of natural s...