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Math252: Unit 4 - Probability

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Integrals

Solving

Approssimate solutions

Rectangle approssimation

Montecarlo

Exact solutions

What's an integral?

Area definition

Formal definition: opposite of derivative

Simulate it

FieldPlaying

Application of superposition in precalculated values

Simulating by decomposing in a grid

Written in Python

Using numpy, plotly

Base of the simulations

Decomposition in charges "small enough"

Why it works?

Superposition principle

Possible uses for simulations

Astrophysic

Chemistry

ELECTRIC FIELD

Electrical charge

Conservative

Property of matter

Definition as a factor of the electrical force

Electrical force

Depends of: distance and...

Application of scientific method in studying it

Known for a long time

Very, very strong

Fields

Some examples

Wind velocity

Temperature

Why we use them here

What are they