Natural number

`sum_(i=1)^n i^3=((n(n+1))/2)^2`

`(1-l)^n=(1-l)^((ln)/l)=lim_(l->0)e^(-ln)`
`Q_(ch)=int_(V_1)^(V_2)i(t)dt`
where `(V_1)<(V_2)`

Math equation input 2

`sum_(i=1)^n i^3=((n(n+1))/2)^2`

\begin{gra ph}width=400; height=300; xmin=-6.3; xmax=6.3;
xscl=1; plot(3cos(x^2)) \end{graph}

amath
Displacement: s = u t + 1/2 a t^2
Trigonometry: tan^2x+1=sec^2x
Summation: pi = 4 sum_(i=1)^(n) ((-1)^(k+1))/(2k-1)
endamath


`$f(x)=\sum_{n=0}^\infty\frac{f^{(n)}(a)}{n!}(x-a)^n$`

`f(x)=sum_{n=0}^oo (f^n (a))/(n!) (x-a)^n`

Matrices

AB=(8451)(-851-15)=(8×-8+4×18×5+4×-155×-8+1×15×5+1×-15)

=(-60-20-3910)
Quadratic Equation

If ax2+bx+c=0, then

x=-b±b2-4ac2a
Fractions on Fractions

6x+232x+4=6x+2 ÷ 32x+4=6x+2×2(x+2)3=4
Roots

x3≠3x
Another matrix example

This next example was one I tried to create using WPMathPub but had trouble because it wasn’t very intuitive (see WPMathPub article).

[53cos26701-2sin5]

Now, that was much easier compared to WPMathPub! This is the code I used for the above ASCIIMathML:

[(5, 3, cos 2), (6, 7, 0), (1,-2, sin 5)]

In ASCIIMathML, it can be rendered easily like this:

3∫x2 dx+5∫x dx+9∫ dx


This is some example code:

\begin{gra ph}width=400; height=300; xmin=-6.3; xmax=6.3;
xscl=1; plot(3cos(x^2)) \end{graph}

Here is the resulting graph. Move your mouse cursor over the graph – it tells you the x- and y-coordinates of the cursor position.

1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 1 2 3 4 -1 -2 -3 -4
Update
width=400; height=300; xmin=-6.3; xmax=6.3;xscl=1; axes(); plot(3cos(x^2))

I’ll do a separate article soon about the graphing capabilities of ASCIIMathML.




agraph plot(sin(x)) endagraph

setBorder(0)
initPicture(-5,5)
axes(2, 1, "labels", 1)

stroke = "blue"
plot("sin(x)")

stroke = "red"
plot(["5*t*cos(pi*t)", "5*t*sin(pi*t)"],0,1)

stroke = "green"
strokewidth = "2"
marker = "arrowdot"
line([0,1], [pi/2,1])
dot([pi,0], "open", cpi)

text([-2.5,-2.5], "ASCIIsvg Example")

Type this	See that	Comment
`x^2+y_1+z_12^34`	x2+y1+z1234	subscripts as in TeX, but numbers are treated as a unit
`sin^-1(x)`	sin-1(x)	function names are treated as constants
`d/dxf(x)=lim_(h->0)(f(x+h)-f(x))/h`	ddxf(x)=limh→0f(x+h)-f(x)h	complex subscripts are bracketed, displayed under lim
$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$	ddxf(x)=limh→0f(x+h)-f(x)h	standard LaTeX notation is an alternative
`f(x)=sum_(n=0)^oo(f^((n))(a))/(n!)(x-a)^n`	f(x)=∑n=0∞f(n)(a)n!(x-a)n	f^((n))(a) must be bracketed, else the numerator is only a
$f(x)=\sum_{n=0}^\infty\frac{f^{(n)}(a)}{n!}(x-a)^n$	f(x)=∑n=0∞f(n)(a)n!(x-a)n	standard LaTeX produces the same result
`int_0^1f(x)dx`	∫01f(x)dx	subscripts must come before superscripts
`[[a,b],[c,d]]((n),(k))`	[abcd](nk)	matrices and column vectors are simple to type
`x/x={(1,if x!=0),(text{undefined},if x=0):}`	xx={1ifx≠0undefinedifx=0	piecewise defined function are based on matrix notation
`a//b`	a/b	use // for inline fractions
`(a/b)/(c/d)`	abcd	with brackets, multiple fraction work as expected
`a/b/c/d`	ab/cd	without brackets the parser chooses this particular expression
`((a*b))/c`	(a⋅b)c	only one level of brackets is removed; * gives standard product
`sqrt sqrt root3x`	x3	spaces are optional, only serve to split strings that should not match
`<< a,b >> and {:(x,y),(u,v):}`	〈a,b〉andxyuv	angle brackets and invisible brackets
`(a,b]={x in RR | a < x <= b}`	(a,b]={x∈ℝ|a	grouping brackets don't have to match
`abc-123.45^-1.1`	abc-123.45-1.1	non-tokens are split into single characters, but decimal numbers are parsed with possible sign
`hat(ab) bar(xy) ulA vec v dotx ddot y`	ab^xy¯A̲v→x.y..	accents can be used on any expression (work well in IE)
`bb{AB3}.bbb(AB].cc(AB).fr{AB}.tt[AB].sf(AB)`	AB3..ℬ..AB.AB	font commands; can use any brackets around argument
`stackrel"def"= or \stackrel{\Delta}{=}" "("or ":=)`	=defor=Δ(or:=)	symbols can be stacked
`{::}_(\ 92)^238U`	92238U	prescripts simulated by subsuperscripts

Seven piece puzzle

Beijing tourist info

Information for travel in Beijing

Beijing Subway

as of 2010 at RMB2 one way, it is just super. However, the service can improve. Handicapped cannot ride certain route. also the gap between subway train and platform can be as big as six inches, a person can miss step and fall into the gap.

map of 2010 Beijing Subway

多晶硅标准曲线发展 minimum $20/kg

发改委要求还原电耗60千瓦时/千克，但工信部、科技部认为应定在80千瓦时/千克，

综合电耗定在200千瓦时/千克

还原电耗80-综合电耗200 kWh/kg at $0.1/kWh it will be $20/kg for the cost of electricity.

施正荣 无锡尚德 （STP.NYSE）pk 苗连生 天威英利 （YGE.NYSE）

• 施正荣 pk 苗连生
• 南尚德，vs 北英利
• 技术派施正荣 pk 成本杀手苗连生
• 海龟博士pk 土硕士
• 澳大利亚南威尔士大学太阳能学科博士 pk 北京大学MBA
• 施正荣 vs 军人苗连生与“军营”英利

和一般企业家不同的是,苗连生有着长达15年的军旅生涯,他曾两次赴越南,一次是“援越抗美”,一次是“对越自卫反击战” 军人”苗连生与“军营”英利 - 雅虎财经URL
http://biz.cn.yahoo.com/10-07-/222/xrh1.html Accessed Friday, July 30, 2010

Did 苗连生Miao Liansheng , 54 ever kill any Americans ? 上市公司：天威英利（YGE.NYSE），2007年6月IPO 天威英利 could be controlled by People's Liberation Army (PLA). 天威保变 600550.ss < 保定市国资委的天威集团< 央企中国兵装集团

Yingli Green Energy Holding Co. Ltd. (YGE) Mr. Miao Liansheng , 54
Chairman, Chief Exec. Officer, Vice Chairperson of Tianwei Yingli and Chief Exec. Officer of Tianwei Yingli http://finance.yahoo.com/q/pr?s=YGE+Profile

3 施正荣
50亿元
总排名71 无锡尚德
男 46 出生于江苏扬中
澳大利亚南威尔士大学太阳能学科博士
公司总部：江苏无锡
主要行业：太阳能设备
行业地位：光伏发电行业全国排名第一
上市公司：尚德控股（STP.NYSE），
2005年12月IPO
2006年7月和2007年6月，施正荣带领尚德与大型硅料供应商MEMC和HoKu签署多晶硅长单合同，保证了每年2000吨硅料的稳定供应，领跑行业。进入2008年四季度，光伏产业形势逆转，欧洲买家融资困难，纷纷推迟部分订单，尚德的开工率仅50%。
11 苗连生
22.8亿元
总排名271 天威英利
男 53 出生于河北保定 北京大学MBA
公司总部：河北保定
主要行业：太阳能设备
上市公司：天威英利（YGE.NYSE），
2007年6月IPO



英利光伏行业“规则破坏者”

在当前中国光伏发电行业，一直有“南尚德，北英利”之说。与“技术派”施正荣相比，营销起家的苗连生被誉为“成本杀手”。在2009年广受关注的敦煌电站 招标项目中，英利所提供的组件报价是0.69元/度，远低于业内超过2元/度的平均成本，为此苗连生几乎挨了半年的骂，被斥为“规则破坏者”。

Finally
1.09元/千瓦时

该项目已由江苏百世德太阳能科技公司（以下简称百世德）、中广核能源开发有限责任公司（以下简称中广核能源公司）和比利时Enfinity公司三家组成的联合体，以1.09元/千瓦时的价格竞标成功。

百世德is a shell company, controlled by 彭小锋都是最大股东.中广核是投资方. Enfinity光伏系统集成商


我们的六九硅业是国内首家采用新硅烷法生产多晶硅的企业，试产成本可降低到28美元/千克，大大低于行业平均水平(50美元/千克～60美元/千克)。

OMG, poly Silicon $28/kg or $0.28/g 产品纯度可达９Ｎ（９９．９９９９９９９％）以上，达到国际先进水平。

对话世界杯唯一中国赞助商"英利":广告必须用汉字_财经频道_新华网
http://news.xinhuanet.com/fortune/2010-07/13/c_12326390_3.htm
Accessed Friday, July 30, 2010.

"有人拍着胸脯说，自己能将光伏电价做到0.8元/千瓦时。谁能做到，我就给谁1000万美元"
施正荣：光伏电价谁能达到0.8元／千瓦时 我给1000万美元 - 全球最大 资讯最全-太阳能光伏网
http://www.cn-tyn.com/info/detail/7-946.html Accessed Friday, July 30, 2010.