Translations for fishes
三文鱼 Salmon
八爪鱼 Octopus
加吉鱼 Sea Bream
墨鱼 Cuttlefish
多宝鱼 Turbot
多春鱼 Shisamo
太湖银鱼 Taihu Silver Fish
小黄鱼 Small Yellow Croakers
左口鱼 Halibut
带鱼 Ribbonfish
扁鱼 Silver Carp
桂鱼 Mandarin Fish
武昌鱼 Wuchang Fish
比目鱼 Flatfish
甲鱼 Turtle
石斑鱼 Sea Bass
花枝片 Sliced Squid
草鱼 Grass Carp
酥鱼 Crucian Carp
金枪鱼 Tuna
长江鲥鱼 Hilsa Herring
马哈鱼 Salmon
马鲛鱼 Mackerel 又叫做橡皮鱼
鱼翅 Shark’s Fin
鱼肚 Fish Maw
鱼贝 Scallops
鱿鱼 Squid
鲈鱼 Perch
鲍鱼 Abalone
鲔鱼 Tuna
鲟 Sturgeon
鲢鱼 Silver Carp
鲫鱼 Crucian Carp
鲳鱼 Pomfret
鲶鱼 Cat Fish
鲽鱼 Flatfish
鳕鱼 Codfish
鳗鱼 Eel
鳟鱼 Bulltrout
龙利 Flounder
Snapper
Tuesday, October 12, 2010
Thursday, September 30, 2010
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)`
Monday, September 27, 2010
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 |
Saturday, September 18, 2010
Sunday, September 12, 2010
Beijing Subway
Friday, July 30, 2010
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.
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.
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