Convolution of two sums (Fourier transform)
This question is from the book "Advanced Engineering Mathematics" by Stroud. I can't seem to get the required answer for this. I've derived the ...
21 Apr 2026 1 READS
Archive: News
Computer-based alternatives to TI89 calculator?
Back in the 90s in order to solve complex algebraic equations I would use my TI-89 calculator. What is a PC or Mac or iPhone or Internet-based equivalent?...
21 Apr 2026 1 READS
Sample Space of rolling a die and flipping 2 coins
Having some trouble understanding the sample space of rolling a die and flipping 2 coins So I assume the sample space of the above is 24 ($2^2$*$6^1$) ie:...
21 Apr 2026 1 READS
Checking axioms of Vector Spaces
Currently I am studying a section from my book on vector spaces. I'm having issues in understanding how I am supposed to prove some of the questions ...
21 Apr 2026 1 READS
Convert Area Density to Volumetric Mass Density
If the area density is 5.5kg/m², then what is its volumetric density in kg/m³?;) The thickness is 1/8 inch. I'm not getting the answer I'm being...
21 Apr 2026 1 READS
Vector orthogonal to hyperplane
Finding the vector perpendicular to the plane Why is weight vector orthogonal to decision plane in neural networks I am thinking now about hyperplanes and...
21 Apr 2026 1 READS
What is the logical equivalence of 'provided that...'?
Simple question as above. Given "A provided that B", the logical equivalence seems to be "A only if B". Very startling that my lecturer enjoy using such &...
21 Apr 2026 1 READS
Finding constants in a quadratic equation
I have the problem: Given that $g(x)$ is a quadratic function; that is in the form $g(x) = ax^2+bx+c$ for some constants $a,b,c$. Find the values of the c...
21 Apr 2026 1 READS
A basic property of convex sequences
A sequence $\{a_n:n\in\mathbb{Z}_+\}\subset\{(0,\infty)$ is convex if $$ a_{n-1}+a_{n+1}-2a_n\geq0,\quad n\geq1 $$ This is equivalent to saying that $\{a_...
21 Apr 2026 1 READS
Relationship between eigenvalues of a matrix and its square
Are there any general relations between the eigenvalues of a matrix $M$ and those of $M^2$?
21 Apr 2026 0 READS
