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Encyclopedia > Formula

In mathematics and in the sciences, a formula (plural: formulae, formulæ or formulas) is a concise way of expressing information symbolically (as in a mathematical or chemical formula), or a general relationship between quantities. One of many famous formulae is Albert Einstein's E = mc² (see special relativity). Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... Part of a scientific laboratory at the University of Cologne. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... A chemical formula (also called molecular formula) is a concise way of expressing information about the atoms that constitute a particular chemical compound. ... Albert Einstein( ) (March 14, 1879 – April 18, 1955) was a German-born theoretical physicist who is widely considered to have been one of the greatest physicists of all time. ... It has been suggested that this article or section be merged with Mass-energy equivalence. ... The special theory of relativity was proposed in 1905 by Albert Einstein in his article On the Electrodynamics of Moving Bodies. Some three centuries earlier, Galileos principle of relativity had stated that all uniform motion was relative, and that there was no absolute and well-defined state of rest...


In mathematics

In mathematics, formulae form a crucial end result of many calculations. For example, the problem of determining the volume of a sphere is one that requires a significant amount of integral calculus to solve. However, having done this once, mathematicians can produce a formula to describe the volume in terms of some other parameter (the radius for example). This particular formula is: Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... The volume of a solid object is the three-dimensional concept of how much space it occupies, often quantified numerically. ... A sphere is a perfectly symmetrical geometrical object. ... This article deals with the concept of an integral in calculus. ... Remote Authentication Dial In User Service (RADIUS) is an AAA (authentication, authorization and accounting) protocol for applications such as network access or IP mobility. ...

V = begin{matrix} frac{4}{3} end{matrix} pi r^3

(The π in this formula is the quantity pi). Having determined this result, and having a sphere of which we know the radius we can quickly and easily determine the volume. Note that the quantities V, the volume, and r the radius are expressed as single letters. This convention, while less important in a relatively simple formula, means that mathematicians can more quickly manipulate larger and more complex formulae. When a circles diameter is 1, its circumference is Ï€. The mathematical constant Ï€ is an irrational real number, approximately equal to 3. ...


In general mathematical use there is no essential difference in meaning with the term "expression", although the word "formula" tends to be reserved for an expression that "can stand on its own", that has a meaning outside of the immediate context in which it appears and a significance that can be grasped intuitively. An expression is a combination of numbers, operators, grouping symbols (such as brackets and parentheses) and/or free variables and bound variables arranged in a meaningful way which can be evaluated. ...


The majority of all mathematical study revolves around formulae in many different forms from quadratic equations to the equations of motion (mainly used in mechanical mathematics and physics). In a general context, formulae are applied to provide a mathematical solution for real world problems. Some may be general formulae designed to explain a phenomena experienced everywhere - an example is force = mass × acceleration. It is a formula which applies anywhere in the universe. Other formulae may be specially created to solve a particular problem - for example using the equation of a sine curve to model the movement of the tides in a bay. In all cases however, formulae form the basis for all calculations. In mathematics, a quadratic equation is a polynomial equation of the second degree. ... Physics (Greek: (phúsis), nature and (phusiké), knowledge of nature) is the science concerned with the fundamental laws of the universe. ... In trigonometry, an ideal sine wave is a waveform whose graph is identical to the generalized sine function y = Asin[ω(x − α)] + C, where A is the amplitude, ω is the angular frequency (2π/P where P is the wavelength), α is the phase shift, and C...


In computing

In computing, a formula typically describes a calculation, such as addition, to be performed on two or more variables. A formula is often implicitly provided in the form of a computer instruction such as Memory (Random Access Memory) Look up computing in Wiktionary, the free dictionary. ... A BlueGene supercomputer cabinet. ... Look up instruction in Wiktionary, the free dictionary. ...

Total fruit = number of Apples + number of Oranges.

In computer spreadsheet terminology, a formula is usually a text string containing cell references, e.g. A BlueGene supercomputer cabinet. ... Screenshot of a spreadsheet made with OpenOffice. ... In various branches of mathematics and computer science, strings are sequences of various simple objects (symbols, tokens, characters, etc. ... Screenshot of a spreadsheet made with OpenOffice. ...

=A1+A2

where both A1 and A2 describe "cells" (column A, row 1 or 2) within the spreadsheet. The result appears within the cell containing the formula itself (possibly A3, at end of values in column A). The = sign precedes the right hand side of the formula indicating the cell contains a formula rather than data. The left hand side of the formula is, by convention, omitted because the result is always stored in the cell itself and would be redundant.In mathematics it means a lot of shoes for children. Don´t take my appel, Í´m your´s orange. I´mran to the rescue...


See also


  Results from FactBites:
 
BBC - h2g2 - An Introduction to Formula One Racing (1397 words)
Formula One is the top level of open-wheel motor racing in the world today - it is also the one with the most history behind it.
Many drivers in the past treated Formula One almost as a hobby and were not always in the best physical shape; they did little testing or setup work with the car and were often twice as old as most drivers are now, with slower reflexes to match.
Formula One has progressed over the years from being held on true road circuits such as Spa-Franchorchamps and Rheims which were on public roads between villages, to custom-built race tracks such as the one in Sepang, Malaysia, that was designed purposely for Formula One.
  More results at FactBites »

 
 

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