User:Dennis J au/sandbox

pages under "User:Dennis J au/"
User:Dennis_J_au/sandbox2

pseduo-sandpit
https://www.mediawiki.org/wiki/Extension:Cargo

mediawikiwiki:Extension:Cargo

multimediaviewer test








Test 0
http://stats.grok.se

$$ \begin{alignat}{7} \epsilon \\ \ni \end{alignat} $$+1

$$ \begin{alignat}{7} \frac{1}{2} \\ \sum \\ {\ni} > \textstyle{\sum  a + b + c + \dotsb+n}\\ \end{alignat} $$

$$ {\ni} > \textstyle{\sum  a + b + c + \dotsb+n} $$

i.e. we can write

  $$S_2 = S_1 k_1\,$$

 $$S_2 = S_1 k_1\,$$

with  $$ k_1 = (1-(h+a))(1+m)\left(\frac{1}{s'}+1\right)-\frac{(1+m)(1+w)}{(1+q)s'} $$

  $$ k_1 = (1-(h+a))(1+m)\left(\frac{1}{s'}+1\right)-\frac{(1+m)(1+w)}{(1+q)s'} $$

  $$ k_1 = (1-(h+a))(1+m)\left(\frac{1}{s'}+1\right)-\frac{(1+m)(1+w)}{(1+q)s'} $$

$$S_2 = S_1 k_1\,$$

$$ k_1 = (1-(h+a))(1+m)\left(\frac{1}{s'}+1\right)-\frac{(1+m)(1+w)}{(1+q)s'} $$

Is this still maths?
No it was not still maths.

Lorem ipsum

test references
The Sun is pretty big. The Moon, however, is not so big. Other info. More other info Why openurl resolver links do not show up on wikipedia pages

The Sun is pretty big. The Moon, however, is not so big. Other info.

test ref two
To have the reference depend on a parameter, use e.g.:
 * from Meta:Help:Footnotes
 * see also Help:Footnotes


 * (This example incomplete, see source doco more more complete detail.

content 05
The Sun is pretty big. - But the Moon is not so big. The Sun is also quite hot.

body content 04
The Sun is pretty big. - But the Moon is not so big. The Sun is also quite hot.

body content 03
The Sun is pretty big. But the Moon is not so big. The Sun is also quite hot.

body content 01
The Sun is pretty big. But the Moon is not so big. The Sun is also quite hot.

body content 02
An example. Another example. A third example. Repeating the first example.

Quadratic Polynomial
$$ax^2 + bx + c = 0$$ $$ax^2 + bx + c = 0$$

Quadratic Polynomial (Force PNG Rendering)
$$ax^2 + bx + c = 0\,$$ $$ax^2 + bx + c = 0\,$$

Quadratic Formula
$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$ $$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$

Tall Parentheses and Fractions
$$2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)$$ $$2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)$$

$$S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}$$ $$S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}$$

Integrals
$$\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy$$ $$\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy$$

Summation
$$\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)}$$ $$\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n} {3^m\left(m\,3^n+n\,3^m\right)}$$

Differential Equation
$$u'' + p(x)u' + q(x)u=f(x),\quad x>a$$ $$u'' + p(x)u' + q(x)u=f(x),\quad x>a$$

Complex numbers
$$|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z)$$ $$|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z)$$

Limits
$$\lim_{z\rightarrow z_0} f(z)=f(z_0)$$ $$\lim_{z\rightarrow z_0} f(z)=f(z_0)$$

Integral Equation
$$\phi_n(\kappa) = \frac{1}{4\pi^2\kappa^2} \int_0^\infty \frac{\sin(\kappa R)}{\kappa R} \frac{\partial}{\partial R}  \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR$$ $$\phi_n(\kappa) = \frac{1}{4\pi^2\kappa^2} \int_0^\infty \frac{\sin(\kappa R)}{\kappa R} \frac{\partial}{\partial R} \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR$$

Example
$$\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}$$ $$\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}$$

Continuation and cases
$$f(x) = \begin{cases}1 & -1 \le x < 0 \\ \frac{1}{2} & x = 0 \\ 1 - x^2 & \mbox{otherwise}\end{cases}$$ $$ f(x) = \begin{cases} 1 & -1 \le x < 0 \\ \frac{1}{2} & x = 0 \\ 1 - x^2 & \mbox{otherwise} \end{cases} $$

Prefixed subscript
$${}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z) = \sum_{n=0}^\infty \frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}\frac{z^n}{n!}$$ $${}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z) = \sum_{n=0}^\infty \frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n} \frac{z^n}{n!}$$

Fraction and small fraction
$$ \frac {a}{b}$$ &emsp; $$ \tfrac {a}{b} $$ $$ \frac {a}{b}\ \tfrac {a}{b} $$

test1
a

Examples

 * If $$x_n = c$$ for some constant c, then $$x_n \to c$$.
 * If $$x_n = \frac1{n}$$, then $$x_n \to 0$$.
 * If $$x_n = 1/n$$ when $$n$$ is even, and $$ x_n = \frac1{n^2}$$ when $$n$$ is odd, then $$x_n \to 0$$. (The fact that $$x_{n+1} > x_n$$ whenever $$n$$ is odd is irrelevant.)
 * Given any real number, one may easily construct a sequence that converges to that number by taking decimal approximations. For example, the sequence $$0.3, 0.33, 0.333, 0.3333, ...$$ converges to $$1/3$$. Note that the decimal representation $$0.3333...$$ is the limit of the previous sequence, defined by
 * $$ 0.3333...\triangleq\lim_{n\to\infty} \sum_{i=1}^n \frac{3}{10^i}$$.


 * Finding the limit of a sequence is not always obvious. Two examples are $$\lim_{n\to\infty}\left(1 + \frac1{n}\right)^n$$ (the limit of which is the number e) and the Arithmetic–geometric mean.  The squeeze theorem is often useful in such cases.

test3
File:Name.jpg[[Media:Wiki.png]] [[Media:Wikipedia-multilang-poster.en.pdf]] Special:FilePath/Wikipedia-multilang-poster.en.pdf

test4
Category:Test Drivers
 * Category:Test cricket records

test one 2, 3

test 5
a w:List of people by name: [[a|a]]

test 6
Dennis J au/Books/Atom and syndication - test epub export

test 7
Meteorological history

Impact

Hurricane_Debbie_(1961)

Hurricane_Debbie_(1961)

Elsewhere

Hurricane_Debbie_(1961)

Collapsible elements
Heading blurb, blah, text, yadda.


 * 1)  xxxx
 * 2)  xxxx
 * 3)  xxxx
 * 4)  xxxx
 * 5)  xxxx
 * 6)  xxxx

test biblio popups
Advisory_Committee_on_Non-Government_Schools_in_South_Australia_2001

Aitkin 1942

Allen 1970

Alm 1999

Amrine 1987

Advisory Committee on Non-Government Schools in South Australia 2001
Advisory Committee on Non-Government Schools in South Australia, 2001. Annual Report :Report of the Advisory Committee on Non-Government Schools in South Australia, Adelaide: Non-Government Schools Secretariat.

Aikin 1942
Aikin, W.M., 1942. The Story of The Eight-Year Study, New York: Harper and Brothers.

Allen 1970
Allen, P.M. ed., 1970. Education as an Art, New York: Rudolf Steiner Press.

Alm 1999
Alm, J.S., 1999. Atopy in  Children  of  Families  with  an  Anthroposophic Lifestyle. The Lancet., 353(9163), 1485-1488.

Amrine 1987
Amrine, F., 1987. Goethean Method  in  the  Work  of  Jochen  Bochemul. In Goethe and the Sciences : A Reappraisal. Dordrecht: D. Reidel.

Amrine & Zucker 1987
Amrine, F. & Zucker, F.J., 1987. Postscript. Goethe’s Science: An Alternative to Modern Science or within It – or No Alternative at All. In Goethe and the Sciences : A Reappraisal. Dordrecht: D. Reidel, pp. 373 - 388.

Amrine, Zucker & Wheeler 1987
Amrine, F., Zucker, F.J. & Wheeler, H. eds., 1987. Goethe and the Sciences : A Reappraisal, Dordrecht: D. Reidel.

Andrich & Mercer 1997
Andrich, D. & Mercer, A., 1997. International Perspectives on Selection Methods into Higher Education, Canberra: National Board on Employment, Education and Training and The Higher Education Council.

Anscombe 1963
Anscombe, G., 1963. Intention, Oxford: Blackwell.

Anthroposophical Society in America 2004
Anthroposophical Society in America, 2004. Amicus Curiae Brief of the Anthroposophical Society in America. Available at: http://waldorfcritics.org/active/articles/lawsuit/187%20AnthroposophicalSofA.pdf [Accessed May 26, 2009].

Arden 1965
Arden, J., 1965. Ironhand, London: Methuen.

Armstrong 1968
Armstrong, D., 1968. A Materialist Theory of the Mind, London: Routledge and Kegan Paul.

Asher 1977
Asher, J.J., 1977. Children Learning  Another  Language:  A Developmental Hypothesis. , 48.

Asher 1981
Asher, J.J., 1981. Fear of  Foreign  Languages. , 15. 1234567890

hello this is a section
test = a
 * this is a list
 * more items x
 * hellooo again
 * ? - yes-test - Yes