Project euler answers

One of the demonstrations I put together takes a look at how really small gyroscopic sensors, such as those in many smart phones, video game remotes or quad-copters provide information about their changing orientations. This information can be used as feedback for self-balancing e.

Project euler answers

More sophisticated tops are spun by holding the axis firmly while pulling a string or twisting a stick or pushing an auger. In the kinds with an auger, an internal weight rotates, producing an overall circular motion.

Some tops can be thrown, while firmly grasping a string that had been tightly wound around the stem, and the centrifugal force generated by the unwinding motion of the string will set them spinning upon touching ground. The top is one of the oldest recognizable toys found on archaeological sites.

Spinning tops originated independently in cultures all over the world. Some role-playing games use tops to augment dice in generating randomized results; it is in this case referred to as a spinner. Gould mentions maple seedscelts leading to rattlebacksthe fire-drillthe spindle whorland the potter's wheel as possible predecessors to the top, which he assumes was invented or discovered multiple times in multiple places.

Elements of Geometry - Numericana

Typically the top will at first wobble until the shape of the tip and its interaction with the surface force it upright; contrary to what is sometimes assumed, longstanding scientific studies and easy experimentations reproducible by anyone show that less friction increases the time before the upright position is reached unless the top is so unbalanced that it falls before reaching it.

In the "sleep" period, and only in it, provided it is ever reached, less friction means longer "sleep" time whence the common error that less friction implies longer global spinning time There have been many developments within the technology of the top.

Bearing tops, with a tip made of a small hard ceramic, tungsten carbide or even ruby ball sometimes wrongly believed to spin with respect to the body of the tophave been one of the biggest changes.

Project euler answers

In addition, plastic and metal have largely supplanted the use of wood in tops. By rapidly spinning the top, Forbes created the illusion of a single color that was a mixture of the primaries: Forbes, which I witnessed in … [established] that blue and yellow do not make green, but a pinkish tint, when neither prevails in the combination…[and the] result of mixing yellow and blue was, I believe, not previously known.Project regardbouddhiste.com Multiples of 3 and 5.

Problem 1 Published on Friday, 5th October , pm; Solved by ; Difficulty rating: 5%. If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9.

The sum of these multiples is A spinning top is a toy designed to spin rapidly on the ground, the motion of which causes it to remain precisely balanced on its tip because of its rotational regardbouddhiste.com toys have existed since regardbouddhiste.comionally tops were constructed of wood, sometimes with an iron tip, and would be set in motion by aid of a string or rope coiled around its axis which, when pulled quickly, caused a.

Project Euler (named after Leonhard Euler) is a website dedicated to a series of computational problems intended to be solved with computer programs. The project attracts adults and students interested in mathematics and computer programming.

Euler problems. From HaskellWiki. WARNING - Do not peek at any of these pages if you want to enjoy the benefits of Project Euler, unless you have already solved the problems. and some other sites hide their solution methods so that only those who know the answer can view them.

The interior of a 3-D MEMS Gyroscope Sensor is intricate and tiny (this structure is only about cm wide). My last two blog entries discussed demonstrations of gyroscopes and angular momentum conservation at our school’s science fair.

A few jewels in elementary Euclidean geometry (1, 2, 3 dimensions or more). Lines, surfaces, polyhedra and topology.

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