Update for 03-03-22 23:00

This commit is contained in:
Tyler Perkins 2022-03-03 23:00:01 -05:00
parent c3407617c5
commit 6f5f935b05
3 changed files with 28 additions and 2 deletions

View File

@ -58,8 +58,6 @@ _Ideas.md and Classes.md are encrypted, so these links will not work_
* [[sci/biology|Biology]] * [[sci/biology|Biology]]
* [[sci/chemicals/index|Chemicals]] * [[sci/chemicals/index|Chemicals]]
== [[math/index|Math]] ==
== [[botany/index|Botany]] == == [[botany/index|Botany]] ==
* [[botany/vegies|Vegies]] * [[botany/vegies|Vegies]]

7
tech/math.wiki Normal file
View File

@ -0,0 +1,7 @@
= Math =
Math is to broad of a topic to define here :)
== Number theory ==
* [[pascals_triangle]]

View File

@ -0,0 +1,21 @@
= Pascals Triangle =
== Construction ==
Pascals triangle is constructed via staggering numbers in rows, and making each
entry equal to the sum of the two entries above it.
For some entry `(i,j)` where `i` is the row and `j` is the column, the value
can be calculated via
`f(i,j) = f(i-1, j-1) + f(i-1,j)`
== Patterns ==
* The sum of elements in a row is twice the sum of the row proceeding it. Or in
other words, the sum of the elements in row `n` is `2^n`.
* The sum of the square of the elements of row `n` is equal to the middle
element of row `2n`
* For some row `n` where `n` is prime, all terms in that row except for the 1s
are multiples of `p`