Timeline of algebra - Revision history

en>MaxmarioU at 21:37, 2 December 2014

2014-12-02T21:37:04Z

← Older revision		Revision as of 23:37, 2 December 2014
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en>Rurik the Varangian: citations

2014-03-04T18:08:18Z

citations

← Older revision		Revision as of 20:08, 4 March 2014
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	~~{{refimprove\|date=February 2013}}~~		The individual who wrote the article is known as Jayson Hirano and he completely digs that title. The preferred pastime for him and his kids is to perform lacross and he would by no means give it up. Distributing manufacturing has been his occupation for some time. My wife and I live in Mississippi and I adore each day living right here.<br><br>my site: certified psychics; [http://netwk.hannam.ac.kr/xe/data_2/85669 netwk.hannam.ac.kr],
	~~'''Macaulay brackets''' are a notation used~~ to ~~describe the [[ramp function]]~~

	~~<math>\{x\} = \begin{cases} 0, & x < 0 \\ x, & x \ge 0~~. ~~\end{cases}</math>~~

	~~A popular alternative transcription uses angle brackets, ''viz~~.'' <~~math~~>~~\langle x \rangle~~<~~/math>.<ref~~>[http://~~www~~.~~colorado~~.~~edu/engineering/CAS/courses~~.d/~~Structures.d~~/~~IAST.Lect12.d~~/~~IAST~~.~~Lect12~~.~~pdf]</ref>~~
	~~Another commonly used notation is <math>x</math><sub>+</sub> or <math>(x)</math><sub>+</sub> for the [[positive number\|positive]] part of <math>x</math>, which avoids conflicts with <math>\{~~.~~..\}</math> for [[set notation~~]].

	~~== In Engineering ==~~
	Macaulay's notation is commonly used in the static analysis of bending moments of a beam. This is useful because shear forces applied on a member render the [[shear and moment diagram]] discontinuous. Macaulay's notation also provides an easy way of integrating these discontinuous curves to give bending moments, angular deflection, and so on. For engineering purposes, angle brackets are often used to denote the use of [[Macaulay's method]].

	~~<math>\{x-a\}^n = \begin{cases} 0, & x < a \\ (x-a)^n, & x \ge a. \end{cases}</math> <math> (n \ge 0)\~~,~~\!</math>~~

	The above example simply states that the function takes the value {{math\|(<var>x-a</var>)<sup>n</sup>}} for all x values larger that a. With this, all the forces acting on a beam can be added, with their respective points of action being the value of a.

	~~==References==~~

	~~<references />~~

	~~== See also ==~~
	*[[Singularity function]]

	~~[[Category:Mathematical analysis]]~~


	~~{{maths-stub}}~~

en>Proz: link, 1800 (as given by the source ...)

2014-01-24T18:53:32Z

link, 1800 (as given by the source ...)

← Older revision		Revision as of 20:53, 24 January 2014
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	~~Hi there~~, ~~I am Andrew Berryhill~~. I'~~ve usually loved residing in Kentucky but now I~~'~~m contemplating other options~~. ~~Office supervising~~ is ~~what she does~~ for a ~~living~~. ~~What I love performing~~ is ~~football but I don~~'~~t have~~ the ~~time lately~~.<br><~~br>My web site~~ .~~.. [http:~~//~~www.article~~-~~galaxy.com~~/~~profile~~.~~php?~~a=~~143251 psychic readings online~~]		{{refimprove\|date=February 2013}}
			'''Macaulay brackets''' are a notation used to describe the [[ramp function]]

			<math>\{x\} = \begin{cases} 0, & x < 0 \\ x, & x \ge 0. \end{cases}</math>

			A popular alternative transcription uses angle brackets, ''viz.'' <math>\langle x \rangle</math>.<ref>[http://www.colorado.edu/engineering/CAS/courses.d/Structures.d/IAST.Lect12.d/IAST.Lect12.pdf]</ref>
			Another commonly used notation is <math>x</math><sub>+</sub> or <math>(x)</math><sub>+</sub> for the [[positive number\|positive]] part of <math>x</math>, which avoids conflicts with <math>\{...\}</math> for [[set notation]].

			== In Engineering ==
			Macaulay's notation is commonly used in the static analysis of bending moments of a beam. This is useful because shear forces applied on a member render the [[shear and moment diagram]] discontinuous. Macaulay's notation also provides an easy way of integrating these discontinuous curves to give bending moments, angular deflection, and so on. For engineering purposes, angle brackets are often used to denote the use of [[Macaulay's method]].

			<math>\{x-a\}^n = \begin{cases} 0, & x < a \\ (x-a)^n, & x \ge a. \end{cases}</math> <math> (n \ge 0)\,\!</math>

			The above example simply states that the function takes the value {{math\|(<var>x-a</var>)<sup>n</sup>}} for all x values larger that a. With this, all the forces acting on a beam can be added, with their respective points of action being the value of a.

			==References==

			<references />

			== See also ==
			*[[Singularity function]]

			[[Category:Mathematical analysis]]


			{{maths-stub}}

en>Helpful Pixie Bot: ISBNs (Build KE)

2012-05-08T13:46:51Z

ISBNs (Build KE)

New page

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