Overview of the main mathematical optimization methods for problems with constraints

I have been preparing and collecting material for a long time, I hope this time turned out better. This article is dedicated to the main methods for solving mathematical optimization problems with constraints, so if you have heard that the simplex method is some kind of very important 3r3483. method, but still do not know what it does, then maybe this article will help you.
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Overview of the main mathematical optimization methods for problems with constraints  3r3699. P. S. The article contains mathematical formulas added by a macro editor. They say that they are sometimes not displayed. There are also many gif animations.
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 3r3699. 3r33478. Preamble
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We correct typos in search queries

We correct typos in search queriesProbably, any service that generally has a search, sooner or later comes to the need to learn how to correct errors in user requests. Errare humanum est; users are constantly sealed and mistaken, and the quality of the search inevitably suffers from this - and with it the user experience. 3r3r6956.  
3r3r6956.  
Moreover, each service has its own specifics, its own lexicon, which should be able to operate on a typo fixer, which greatly complicates the use of existing solutions. For example, such requests had to learn to rule our guardian:
 
3r3r6956.  
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The theory of happiness. Accidents are nonrandom

The theory of happiness. Accidents are nonrandom 3r3618. 3r3-31. 3r33584. I continue to acquaint Habr's readers with chapters from his book “The Theory of Happiness” with the subtitle “Mathematical foundations of the laws of meanness”. This is not a published popular science book, very informally telling how mathematics allows you to look at the world and life of people with a new degree of awareness. It is for those who are interested in science and for those who are interested in life. And since our life is complex and, by and large, unpredictable, the emphasis in the book is mainly on probability theory and mathematical statistics. Theorems ...
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Functional thinking. Part 6

3r33630. We continue our series of articles on functional F # programming. Today we will talk about the associativity and composition of functions, as well as compare the composition and the pipeline. Look under the cat!
3r33535.  3r33655. 3r33630. Functional thinking. Part 6 3r33535.  3r33655. 3r3599.  3r33655. 3r3618.
The first part is 3r3647.
 3r33655. 3r3618.
The second part is 3r3647.
 3r33655. 3r3618.
Third part 3r3647.
 3r33655. 3r3618.
3r3338. Fourth part 3r3647.
 3r33655. 3r3618.
The fifth part is 3r3647.

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3r33535.  3r33655. 3r33548. Associativity and composition of functions 3r33549. 3r33535.  3r33655...
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You need more different Blur-s

 3r33865. 3r3-31. Blur the image through the filter Gaussian Blur is widely used in a variety of tasks. But sometimes you want a little more variety than just one filter for all occasions, in which only one parameter can be adjusted - its size. In this article, we will look at several other blur implementations. 3r33850.  3r33865. 3r33850.  3r33865.
You need more different Blur-s 3r33847. : 3r33850.  3r33865. 3r33850.  3r33865. 3r3334. 3r33847. : 3r33850.  3r33865. 3r33850.  3r33865. 3r340. 3r33850.  3r33865. 3r33850.  3r33865. Here for each pair of coordinates
3r33847. the distance to the ...
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Roadmap of math disciplines for machine learning, part1

Instead of the preface.


 
Suppose, sitting in the evening in a warm chair, you suddenly had a crazy thought: “Hmm, why don't I find out instead of random selection of hyperparameters of the model, and why it all works?” 3r33232.  
stepik.org/course/716
 
stepik.org/course/711
 
I did not look at the courses from the lecture hall of the Moscow Institute of Physics and Technology for analysis, but for the sake of completeness I will also give: 3r33275  
lectoriy.mipt.ru/course/Maths-Basic_Analysis
 
...[/h]
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Dependent Types - The Future of Programming Languages

Hello!
 
 
Despite the outlandishness and some distraction of the topic under consideration today - we hope that she will be able to diversify your weekend. At the end of the post we put three links from the author, allowing you to get acquainted with dependent typing in Idris, F # and jаvascript
 
Idris
 
 
F #
 
 
Adding dependent types to jаvascript 3r33381.
3r33381.Hello!  Despite the outlandishness and some distraction of the topic under consideration today - we hope that she will be able to diversify your weekend. At the end of the post we put three links from the author, allowing you to get acquainted with dependent typing in Idris, F # and jаvascript  Idris   → F #   → Adding dependent types to jаvascript 3r33381.3r33381...
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A little about conical duality

 3r3306. 3r3-31. When studying theoretical courses in machine learning (mat. Economics, optimization, finance, etc.), the concept of a “dual problem” is often encountered.
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 3r3306. Dual tasks are often used to obtain lower (or upper) estimates for the objective functional in optimization problems. In addition, for almost any meaningful formulation of the optimization problem, the dual problem has a meaningful interpretation. That is, if you are faced with an important optimization task, then its dual approach is also most likely important.
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 3r3306. In this article I will talk ...
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The mysterious math genius and the writer are promoting the solution of the

The mysterious math genius and the writer are promoting the solution of thepermutation problem. 3r3174. 3r3-31. New evidence for the authorship of Australian science fiction writer Greg Egan and evidence from 201? anonymously published in the network, recognized significant breakthroughs in the study of the riddle that mathematicians have been investigating for 25 years already 3r3161.  3r3174. имеется в виду список, в котором можно найти любую последовательность эпизодов /прим. перев.]3r3161.  3r3174. answer to question 3r3121. - not a complete solution, but a lower bound for the required number of episodes. From his reasoning, applicable to any number of episodes, it followed ...
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MEMS accelerometers and gyroscopes - we understand the specification

 3r31559. 3r3-31. “Houston, we have problems,” a tired voice sounded in the brain trying to wade through the Datasheet IMU MPU-9250 from InvenSense at night. When all words are separately understood, but their interrelation is confused to impossibility. It all started with the LSB parameter, about which I only vaguely remembered that the translation is Least Significant Bit. Then went “Resolution”, “Sensitivity”, and even further I realized that the resulting text can already be titled “Datasheet for dummies”. 3r31450.  3r31559. ...
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