Spinning the spiral: math and hallucinations

Spinning the spiral: math and hallucinations 3r33333. 3r3-31. When trying to imagine the hallucinations caused by narcotic substances, immediately twisted, spiral psychedelic forms resembling come to mind. tunnel vision . But such geometric structures can cause more than hallucinatory drugs like LSD, cannabis, or mescaline . People talked about the occurrence of such visions at the time when they were dying, during such painful conditions as epilepsy and schizophrenia, as a result of r3r36. sensory deprivation
, or even after simply pressing on the eyeballs. Such geometric hallucinations are so common that over the past century ...
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Educational program for working with punch cards (or the story of how “big data” was processed from 1890 to 1970)

Educational program for working with punch cards (or the story of how “big data” was processed from 1890 to 1970) 3r3182. 3r3-31. 3r33170. In the period 1890-197? all processing of big data was carried out through punch cards. Punch cards, in turn, were processed using so-called. “Recording equipment”, the central element of which was the electromechanical “punch card sorter”. Punch cards and related equipment were used to solve a variety of tasks: population census, accounting, inventory, payroll, etc. 3r3171. 3r3168.  3r3182. 3r33170. How did people work with punch cards? What algorithm did the electromechanical card punch follow? How did you sort by numeric data fields? And on the string? About all this ...
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Build functions in the console. Part 2 (Graph)

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Symbolic solution of linear differential equations and systems using the Laplace transform method using SymPy

 3r31228. 3r3-31.
Symbolic solution of linear differential equations and systems using the Laplace transform method using SymPy  3r31228. The implementation of algorithms in Python using symbolic calculations is very convenient when solving problems of mathematical modeling of objects defined by differential equations. To solve such equations, the Laplace transformations are widely used, which, to put it simply, allow us to reduce the problem to the solution of the simplest algebraic equations.
 3r31228.
 3r31228. In this publication, I propose to consider the functions of the direct and inverse Laplace transform from the SymPy library, which allow using the Laplace method to solve differential equations and systems ...
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Sub-Zero: antique mechanical calculator. How to use it (with greetings from the 18th century)

Sub-Zero: antique mechanical calculator. How to use it (with greetings from the 18th century)A surprisingly elegant machine that has come down to us from those ancient times when not that the Internet did not exist - there were not even computers yet. Several characteristics of Sub-Zero, which were once emphasized by the marketers who promoted it: (1) works with numbers ± 999999; (2) adds and subtracts in seconds; (3) never wrong; (4) amazingly easy to use; (5) works silently; (6) made of high quality materials that meet German standards; (7) does not wear out. Created to live long.
 
So what is this machine? How does she perform calculations? What is her filling? How to use it for addition ...
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The principle of least action in analytical mechanics

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Game theory: decision making with examples on Kotlin

Game theory: decision making with examples on Kotlin 3r31289. 3r3-31. Game theory is a mathematical discipline that considers the modeling of actions of players who have a goal, which is to choose the optimal strategies of behavior in conditions of conflict. On Habré, this topic is already was covered , but today we will talk about some of its aspects in more detail and consider examples at Kotlin. here is . 3r31277.  3r31289. Now we will consider decision criteria in pure strategies, and at the end of the article we will solve the game in mixed strategies by an analytical method. 3r31277.  3r31289. 3r31233. 3r31234. Disclaimer [/b] ...
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The secrets of impossible computing on GPU

Our experience of using a computing cluster of 480 AMD RX 480 GPU in solving math problems. As a problem, we took the proof of the theorem from the article by Professor A. Chudnov. “ Cyclic decompositions of sets, separating digraphs and cyclic classes of games with guaranteed win “. The task is to find the minimum number of participants of one coalition in coalition games Nim-type, guaranteeing the winning of one of the parties.
 
 
The secrets of impossible computing on GPU  
...
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The principle of least action. Part 1

The principle of least action. Part 1  
 
When I first learned about this principle, I had a feeling of some kind of mysticism. It seems that nature mysteriously sorts through all possible paths of movement of the system and selects the best of them.
 
 
Today I want to talk a little bit about one of the most remarkable physical principles - the principle of least action.
 
 

Prehistory


 
Since the time of Galileo, it was known that bodies, on which no forces act, move along straight lines, that is, along the shortest path. Light lines propagate along straight lines.
 
 
When reflected, the light also moves in such a way as to get from ...[/h]
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Fast Fixed Point Math for Java Financial Applications

 3r33625. 3r3-31. 3r3611. It is no secret that financial information (invoices, transactions, and other bookkeeping) is not very friendly with floating point numbers, and many articles recommend using a fixed point (fixed point arithmetic). In Java, this format is represented, in fact, only by the BigDecimal class, which cannot always be used for performance reasons. You have to look for alternatives. This article describes a self-written Java library for performing arithmetic operations on fixed-precision numbers. The library was created to work in high-performance financial applications and allows ...
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