This is the second part of the square root algorithm. It was developed in one month during the final stages of finishing this web site and reviewing this document for publication. While Part I dealt with an empirical discovery for a sequential algorithm to find the square root, and its subsequent mathematical proof, Part II deals with a binary sea
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rch variation that greatly improves the root`s calculation speed (even though the sequential search algorithm is the smallest you`ll find, if size is what matters to you). Both algorithms have the same accuracy. NOTES: The "official" address for this document is. Please do not link directly to the address that shows up in your browser - this may be changed without notice. Also note that at the time I write this (August 2000) I am not aware of these algorithms being in use (at least the binary search version), but I cannot confirm this. A binary search works pretty much like searching for a word in a dictionary. When looking for "Green", you don`t open the dictionary in the first page and start looking for your word throughout. Instead you take advantage in the knowledge that the words are ordered alphabetically. Here`s how you would describe the search to someone else: First open the dictionary in half, and look for the first word you find. Compare it to the word you`re looking for. If it`s a match, you found it. Otherwise divide one of the two halves of the dictionary in half again (the right half if the word you`re looking for is after the one you found, the left half if it`s before, alphabetically), and repeat the process. Remember the game "Simon Says" from childhood "Simon Says: Guess the Number". "I`m thinking of a number between 1 and 100 - guess what it is in under 10 attempts". "I can only tell you if your guess is...
This project fits more for custom made battery casing that can have more space to hide things inside. This switch with few alterations can be used for any other project as well but is designed based on e-bike needs! This project use a clever functionality of....
The circuit described here uses ultrasonic oscillations and operates based on the propagation velocity of these oscillations in the air. Thus, we can easily determine the distance of two points if the time within which the wave travels this distance is....
Sometimes the precious metals are hidden too deep and are not detected except with complicated devices. In many cases, however, small pieces of precious metal buried near the surface can be detected by relatively simple means. Everyone is very attractive to....
Many times for various reasons we forget or can not water the plants that we have in our homes. And many humidity sensors units just notify us with a beeping sound or with a flashing light, that the pot needs watering. But what if we are away from home? This....
The principle behind a metal detector is really very simple. Proof of this is the circuit that follows, in which it proves that the construction of a metal detector can be done in the minute, with few components that we find very easily everywhere. With the....
The sub-harmonic bass generator is a sound producing unit for guitars. The sound it produces looks very much like that of the bass guitar. The octave generator is sometimes quite unusual since it does not produce any of the usual ways of coloring the sound,....
In the past the sounding (sea bottom measurement) was done with the "bullet", that is, with a heavy lead object that the seamen plucked into the sea hung from a calibrated rope. As soon as the "bullet" reached the bottom, the depth appeared directly from the....
This Amplifier was designed to have the following specifications: Distortion less than 0.1% at full power of 100W even at 20KHz. Power has to be attributed to an extended bandwidth. The output transistors must be protected against short circuits. The power....
A series of LEDs serve to alert the gardener when plants need water. Using two conventional digital integrated LEDs and a series of LEDs, we make a very useful device for gardening. The device detects the amount of water in the pot and alerts the grower.....
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