# duality

Published articles for duality.

This is one page of public article previews, not the complete archive. Follow Next page to continue. Summaries are not the original full articles.

## Linear Programming and Healthy Diets -- Part 1

DevFeed: [Linear Programming and Healthy Diets -- Part 1](<https://devfeed.tech/articles/linear-programming-and-healthy-diets-part-1-40359.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2014/06/02/linear-programming-and-the-most-affordable-healthy-diet-part-1/>)

Published: 2014-06-02T09:00:27Z

Content type: tutorial

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [Optimization](<https://devfeed.tech/topics/optimization.md>), [Combinatorial optimization](<https://devfeed.tech/topics/combinatorial-optimization.md>), [Mathematics](<https://devfeed.tech/topics/mathematics.md>), [Programming](<https://devfeed.tech/topics/programming.md>), [Computer science](<https://devfeed.tech/topics/computer-science.md>)

Tags: [combinatorial-optimization](<https://devfeed.tech/tags/combinatorial-optimization.md>), [duality](<https://devfeed.tech/tags/duality.md>), [linear-programming](<https://devfeed.tech/tags/linear-programming.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [nutrition](<https://devfeed.tech/tags/nutrition.md>), [operations-research](<https://devfeed.tech/tags/operations-research.md>), [optimization](<https://devfeed.tech/tags/optimization.md>), [primal](<https://devfeed.tech/tags/primal.md>), [programming](<https://devfeed.tech/tags/programming.md>), [real-world](<https://devfeed.tech/tags/real-world.md>)

### AI overview

This introductory tutorial explains linear programming as a central problem in combinatorial optimization. It models choosing quantities of oranges, milk, and broccoli to minimize food costs while meeting nutritional constraints, including recommended levels of water, calcium, and vitamin C.

### Source excerpt

Optimization is by far one of the richest ways to apply computer science and mathematics to the real world. Everybody is looking to optimize something: companies want to maximize profits, factories want to maximize efficiency, investors want to minimize risk, the list just goes on and on. The mathematical tools for optimization are also some of the richest mathematical techniques. They form the cornerstone of an entire industry known as operations research, and advances in this field literally change the world.

## The Fourier Transform -- A Primer

DevFeed: [The Fourier Transform -- A Primer](<https://devfeed.tech/articles/the-fourier-transform-a-primer-40274.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2012/05/27/the-fourier-transform-a-primer/>)

Published: 2012-05-27T19:00:15Z

Content type: tutorial

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [fourier transform](<https://devfeed.tech/topics/fourier-transform.md>), [function](<https://devfeed.tech/topics/function.md>)

Tags: [analysis](<https://devfeed.tech/tags/analysis.md>), [convergence](<https://devfeed.tech/tags/convergence.md>), [convolution](<https://devfeed.tech/tags/convolution.md>), [duality](<https://devfeed.tech/tags/duality.md>), [fourier-analysis](<https://devfeed.tech/tags/fourier-analysis.md>), [fourier-transform](<https://devfeed.tech/tags/fourier-transform.md>), [function](<https://devfeed.tech/tags/function.md>), [limit](<https://devfeed.tech/tags/limit.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [primer](<https://devfeed.tech/tags/primer.md>)

### AI overview

This primer introduces the Fourier transform as a limiting case of the Fourier series for functions without periodic behavior. It develops the transform from intuitive definitions and then addresses convergence more rigorously using distributions.

### Source excerpt

In our last primer we saw the Fourier series, which flushed out the notion that a periodic function can be represented as an infinite series of sines and cosines. While this is fine and dandy, and quite a powerful tool, it does not suffice for the real world. In the real world, very little is truly periodic, especially since human measurements can only record a finite period of time. Even things we wish to explore on this blog are hardly periodic (for instance, image analysis).