HomeRed cardinal sorcery
https://franklinvp.github.io/
Sacred Bear Healer
My first acquisition as an art collector -
One of the requirements to be a Canadian, more important than being born in Canada, more important than a Canadian passport, is to own a print by Norval Morrisseau or Copper Thunderbird, the Picasso of the north. So, now I am the proud owner of (a limited edition print of)...
Mon, 29 Mar 2021 00:00:00 +0000
https://franklinvp.github.io/2021-03-29-Morrisseau/
https://franklinvp.github.io/2021-03-29-Morrisseau/Keeping busy during the holidays
No more walls to repaint -
I built two wood benches. The benches have the back legs near the ends and the front ones closer to the center. Each pair on one side forms a square the same side of the depth of the bench. The pieces of furniture looks like they just landed a pas...
Wed, 23 Dec 2020 00:00:00 +0000
https://franklinvp.github.io/2020-12-23-KeepingBusingDuringLockdown/
https://franklinvp.github.io/2020-12-23-KeepingBusingDuringLockdown/Morning stroll in the woods
The convenience to have a small forest nearby -
Morning. No one around. In the summer some parts of this little forest are somewhat muddy. Now in the winter it is mostly frozzen solid. So, it is easier to walk.
Sat, 19 Dec 2020 00:00:00 +0000
https://franklinvp.github.io/2020-12-19-MorningStrollWoods/
https://franklinvp.github.io/2020-12-19-MorningStrollWoods/Mole
First mole I see -
Unfortunately this one was dead.
Sun, 12 Jul 2020 00:00:00 +0000
https://franklinvp.github.io/2020-07-12-Mole/
https://franklinvp.github.io/2020-07-12-Mole/First harvest of raspberries
One raspberry -
Sun, 05 Jul 2020 00:00:00 +0000
https://franklinvp.github.io/2020-07-05-Raspberry/
https://franklinvp.github.io/2020-07-05-Raspberry/Polya Enumeration Theorem applied to a Google foobar challenge
Nice combinatorial theorem + implementation -
For positive integers $w$, $h$, $s$ consider the equivalence classes of $w\times h$ matrices, with entries on the set $S=\{1,2,3,\ldots,s\}$, identified by arbitrary permutations of the rows and the columns. The goal is to compute the number of those classes. This is an application of Polya’s enumeration theorem. Consider the...
Fri, 05 Jun 2020 00:00:00 +0000
https://franklinvp.github.io/2020-06-05-PolyaFooBar/
https://franklinvp.github.io/2020-06-05-PolyaFooBar/Euclid's extended algorithm
A note for my little students -
Extended Euclid’s algorithm and some applications
PDF
LaTeX file
Sun, 31 May 2020 00:00:00 +0000
https://franklinvp.github.io/2020-05-31-Euclid-Algorithm/
https://franklinvp.github.io/2020-05-31-Euclid-Algorithm/Number tomography
A cute problem that my students got in a competition -
This problem has appeared in many math competitions. It is quite interesting and connects to a lot of interesting mathematics. For a collection (multiset) of numbers $A=\{\{a_1\leq a_2\leq\ldots\leq a_n\}\}$ one can compute the multiset of all the pairwise sums $a_i+a_j$ with $i\neq j$ of its elements $S=\{\{s_1\leq s_2\leq\ldots\leq s_m\}\}$, with...
Tue, 26 May 2020 00:00:00 +0000
https://franklinvp.github.io/2020-05-26-Number-tomography/
https://franklinvp.github.io/2020-05-26-Number-tomography/Neighborhood fauna
Beaver
This guy lives in a pond nearby
Some of the damage it has made
My backyard has some squatters
A chipmunk lives here.
A Garter snake.
Tue, 26 May 2020 00:00:00 +0000
https://franklinvp.github.io/2020-05-26-Neigborhood-fauna/
https://franklinvp.github.io/2020-05-26-Neigborhood-fauna/Planting trees
Getting some evergreens -
Planting a few trees
A pair of Gold Star Junipers. Last year we planted some in the front garden. Now it is the backyard’s turn to get some trees. Enough of all this grass. This is not a golf course.
Tue, 26 May 2020 00:00:00 +0000
https://franklinvp.github.io/2020-05-26-Gold-Star-Juniper/
https://franklinvp.github.io/2020-05-26-Gold-Star-Juniper/Applied projective geometry
Trying to draw a horizontal like without a level -
One day I was too lazy to go get a level and didn’t want to measure. So, I tried to apply projective geometry to draw one with a no-compass, straightedge-only construction. Two different parallel lines and a point not on them are given. Using only straightedge construct a line passing...
Tue, 26 May 2020 00:00:00 +0000
https://franklinvp.github.io/2020-05-26-Applied-projective-geometry/
https://franklinvp.github.io/2020-05-26-Applied-projective-geometry/Testing MathJax
Just to see if MathJax works here -
This is a like of text with and equation $a^2+b^2=c^2$.
\[\sum_{n=0}^{\infty}2^{-n}=2\]
Let’s see if a commutative diagram works.
\[\require{AMScd}
\begin{CD}
\mathbb{Z}/p^n\mathbb{Z} @>{\theta_{n+1,\alpha}}>> U_1/U_{n+1}\\
@VVV @VVV\\
\mathbb{Z}/p^{n-1}\mathbb{Z} @>{\theta_{n,\alpha}}>> U_1/U_n
\end{CD}\]
Mon, 25 May 2020 00:00:00 +0000
https://franklinvp.github.io/2020-05-25-Testing-MathJax/
https://franklinvp.github.io/2020-05-25-Testing-MathJax/Sample blog post
Each post also has a subtitle -
This is a demo post to show you how to write blog posts with markdown. I strongly encourage you to take 5 minutes to learn how to write in markdown - it’ll teach you how to transform regular text into bold/italics/headings/tables/etc. Here is some bold text Here is a secondary...
Mon, 25 May 2020 00:00:00 +0000
https://franklinvp.github.io/2020-05-25-Post-1/
https://franklinvp.github.io/2020-05-25-Post-1/