Test used in the video
=====four freebies of constructive arithmetic=====
Ref:
https://www.amazon.com/Constructivism-Mathematics-Studies-Logic-Foundations/dp/0444702660
""" | |
Script used in the video | |
https://youtu.be/2b9fOpX0zKY | |
Formal structure: balanced simple digraph | |
(Important special properties out-degrees equals the in-degrees, no self-loops, no parallel arrows) | |
1. Proof task: Count them, given any assginment of out-degrees. | |
How does it compare to just random disgraphs with that those out-degrees? | |
1. Coding task: Generate one given the out-degrees, fast. (I have a bad, probabilistic solution) |
""" | |
Scirpt discussed in video here: | |
https://youtu.be/2b9fOpX0zKY?si=hjztP-RAwIgq_Yed | |
HV-MTL Voting assignment based on users with different voting capactities per day. | |
More formally: Generation of a balanced simple digraph* (and corresponding plot) | |
based on a vertex set and their number of outgoing edges, | |
with a high number of opposing edges (reciprocated votes percentage is a config). |
Test used in the video
=====four freebies of constructive arithmetic=====
Ref:
https://www.amazon.com/Constructivism-Mathematics-Studies-Logic-Foundations/dp/0444702660
""" | |
Code used in the video | |
https://youtu.be/BiViLT6FCC4 | |
""" | |
import random | |
import numpy as np | |
class LinAlgLib: # Linear algebra'ish functions |
Text used in this video:
==== Recall the regularity statement ====
==== Logical definitions and theorems ==== === Definitions ===
Text used in the video
==== Regularity statement ====
https://en.wikipedia.org/wiki/Axiom_of_regularity
(Classically)
Text used in the video
==== ==== ==== ==== ==== ==== ==== ==== ==== ==== ==== ==== ==== ====
Theorem:
More concretely:
If equality is governed by set-extensionality, then for any predicate
LETTER_FREQUENCIES = {'E' : 12.0, | |
'T' : 9.10, | |
'A' : 8.12, | |
'O' : 7.68, | |
'I' : 7.31, | |
'N' : 6.95, | |
'S' : 6.28, | |
'R' : 6.02, | |
'H' : 5.92, | |
'D' : 4.32, |
import time | |
import pyautogui # pip install pyautogui | |
# Warning: This script will control your cursor for its runtime | |
ID_WHERE_YOU_ARE_NOW = 13665 | |
ID_TARGET = 13800 | |
BUTTON_POSITION = (1400, 500) # Depends on your screen | |
SLEEP_TIME = 0.1 | |
DISTANCE = ID_TARGET - ID_WHERE_YOU_ARE_NOW + 1 |
""" | |
Code discussed in the video | |
https://youtu.be/s5ud06udqT0 | |
""" | |
from random import shuffle | |
NUM_GAME_SIMS: int = 1000 | |
PRINT_LOG: bool = NUM_GAME_SIMS == 1 |