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Using triangle proportionality theorem to prove parallel lines

👉 Learn how to solve for the unknown in a triangle divided internally such that the division is parallel to one of the sides of the triangle. The triangle proportionality theorem states that if a ...
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How does the Pythagorean inequality theorem prove obtuse triangles

Learn about the Pythagorean theorem. The Pythagoras theorem is a fundamental relation among the three sides of a right triangle. It is used to determine the missing length of a right triangle. The ...
The 74

Which March Madness College Delivers the Best Social Mobility?

March Madness, that anxious, exciting and promising time for players and fans alike, is upon us. Like millions of others, I have been really enjoying these three weeks of competitive games full of ...
GitHub

Birch–Swinnerton-Dyer Conjecture — Proof for All Analytic Ranks

The BSD conjecture asserts that for every elliptic curve E/Q, the analytic rank r_an = ord_{s=1} L(E,s) equals the Mordell–Weil rank r = rank E(Q), and that the leading coefficient of L(E,s) at s=1 is ...
GitHub

ppo_megatron_trainer.yaml

val_batch_size: null # DEPRECATED: Validation datasets are sent to inference engines as a whole batch, which will schedule the memory themselves filter_overlong_prompts: False # for large-scale ...