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Motivating Mathematical Concepts through Problems
di Roland S McIntire
Matematica
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Stagione 1
Measure Theoretic Conditional Expectation in a Discrete Setting
Examines what Modern Conditional Expectation means in a discrete setting.
What is a Derivative
Discusses the fundamental notion of a derivative and its extensions.
Lebesgue Measure Theory
We motivate Lebesgue Measure theory.
Pythagorean Numbers: Conjectures and Results.
We prove a theorem related to primitive Pythagorean Primes as well as present a few conjectures.
Singular Probabilty Transformation
Derives a formula for the probability density of a singular transformation of a random variable.
Diversification Constraints
Derives Diversification Constraints for Convex Optimization.
The Essentails of Calculus
Presents the Discrete and Continuous Calculus: The Essentials.
Conditional Expecatation in a Discrete Setting
Examines Lesbesgue Measure theoretic Conditional Expectation in a Discrete Setting.
UnBiased Analytics of Exponential Moving Averages
A number of formulas for weighted exponential moving averages and their moments.
Where does the determinant come from?
Explains the formula for the determinant of a matrix.
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