Wiki source code of grad
Last modified by Administrator on 2020/08/13 18:57
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1.1 | 1 | h1. Notations of Gradient |
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| 3 | In vector calculus, the grad symbol is the vector calculus gradient operator. It is used to represent the grad function, which takes one argument which should be a scalar-valued function and returns a vector of functions. | ||
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| 6 | h3. Description of this symbol | ||
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| 8 | - Grad in [OpenMath|http://www.openmath.org/cd/veccalc1.xhtml#grad] and in [MathML|http://www.w3.org/TR/MathML3/chapter4.html#contm.grad] | ||
| 9 | - Grad also is described in [MathWord|http://mathworld.wolfram.com/Gradient.html] and in [Wikipedia|http://en.wikipedia.org/wiki/Gradient] | ||
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| 11 | ---- | ||
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| 13 | h3. Observations of Gradient | ||
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| 15 | Put your observations here... | ||
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| 17 | h4. English !gradient1-en.png|align=right! | ||
| 18 | In the English book [Mathematical Constant|Census.Bibliography#MathematicalConstants] in page 219 we find that the gradient of {html}\\(f\\){html} is donated in the example on the right. | ||
| 19 | [Find the example in google books link |http://books.google.com/books?id=Pl5I2ZSI6uAC&lpg=PA28&dq=Euler%E2%80%93Mascheroni%20constant&pg=PA219#v=onepage&q=Gradient&f=false] | ||
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| 21 | \\ | ||
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| 23 | h4. German !gradient1-de.png|align=right! | ||
| 24 | We find in the example on the right that the german book [Rechenmethoden der Physik|Census.Bibliography#MathematischerBegleiterzurExperimentalphysik] represents the gradient in page 206 | ||
| 25 | and it is called 'Gradient' in German context. | ||
| 26 | [Go to the example in google books link|http://books.google.com/books?id=dj_Hyy3Uvt8C&lpg=PA195&dq=Euler-Mascheroni-Konstante&pg=PA206#v=onepage&q&f=false] | ||
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| 28 | \\ | ||
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| 30 | h4. Spanish !gradient1-sp.png|align=right! | ||
| 31 | The Spanish book [Matemática discreta|Census.Bibliography#matematicaDiscreta-SpanishEdition] shows the gradient in page 77 and it is called 'Gradiente' in Spanish context. | ||
| 32 | [Go to google books link|http://books.google.com.eg/books?id=uxauLevnXxUC&lpg=PA170&ots=1pMGHCQ9Cq&dq=matem%C3%A1ticas%20coeficiente%20binomial&hl=en&pg=PA77#v=onepage&q&f=false] | ||
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| 34 | !gradient2_sp.png|align=right! As we see on the right another example represents the gradient function in Spanish context. | ||
| 35 | [Find the example in the scanned document in page 82 from the Spanish reference|http://wiki.math-bridge.org/download/attachments/1212431/ref_10_ES.pdf] | ||
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| 37 | \\ | ||
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| 39 | ---- | ||
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| 41 | h3. Encoding the observations of grad | ||
| 42 | [See encodings|http://devdemo.activemath.org/mathbridge/tools/symbolpresentation.cmd?order=by+Theory&lang=x-all&fmt=html&clipCoordinate=0&omsource=+%3COMOBJ%3E%0D%0A++++++++++%3COMA%3E%0D%0A++++++++++++%3COMS+cd%3D%22veccalc1%22+name%3D%22grad%22%2F%3E%0D%0A++++++++++++%3COMV+name%3D%22f%22%2F%3E%0D%0A++++++++++%3C%2FOMA%3E%0D%0A++++++++%3C%2FOMOBJ%3E&submit=View] | ||
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| 44 | \\ | ||
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| 46 | ---- |