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Important breakthroughs are happening faster each year. Today, our busy schedules make it difficult to find time to read everything that’s essential, interesting, helpful, or paradigm shifting.

For your easy reading, we curate a selection of the best writing from magazines + newspapers on leading weekly headlines. We hope this saves you time — so you can connect with global stories on progress.

library editor

topic progress in math
story Sweeping math proof shows all change is mix of order + chance.

— facts —-

a breakthrough math proof:

• one of the most sweeping results in math
• this proof looks at mathematical descriptions of change
• in math: these descriptions are called dynamical systems
• they apply to everything: from the motion of planets — to fluctuations of the stock market
• math model examples: swinging of a clock pendulum • water flow in a pipe • number of fish each spring in a lake
• wherever dynamical systems happen, researchers need to understand basic facts about them
• can dynamical systems — no matter how complex — be broken-up into random + deterministic elements?
• this math proof gives researchers the building blocks for understanding random change

1. |

publication: Quanta
story title: Proof finds that all change is a mix of order + randomness
deck: All descriptions of change are a unique blend of chance + determinism.
deck: According to the sweeping math proof of the weak Pinsker conjecture.

2. |

publication: Quanta
story title: How randomness can make math easier
deck: Randomness would seem to make a math statement harder to prove.
deck: In fact, it often does the opposite.

3. |

group: Univ. of California
story title: Tim Austin PhD proves the weak Pinsker conjecture

— notes —

math or maths = mathematics

[ story file ]

story title: making headlines | Sweeping math proof shows all change is a mix of order + chance
deck: topic: progress in math
year: 2019
folder:
stories on progress

[ end of file ]