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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]]
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| <math>\{x\} = \begin{cases} 0, & x < 0 \\ x, & x \ge 0. \end{cases}</math>
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| 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>
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| 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]].
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| == In Engineering ==
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| 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]].
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| <math>\{x-a\}^n = \begin{cases} 0, & x < a \\ (x-a)^n, & x \ge a. \end{cases}</math> <math> (n \ge 0)\,\!</math>
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| 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.
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| ==References==
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| <references />
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| == See also ==
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| *[[Singularity function]]
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| [[Category:Mathematical analysis]]
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| {{maths-stub}}
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Revision as of 19:08, 4 March 2014
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.
my site: certified psychics; netwk.hannam.ac.kr,