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以下举例说明一些公式的输入方法,大家注意耐心体会。
| 输入字符 | 显示效果 | 备注 |
|---|---|---|
| \`x^2+y_1+z_12^34\` | `x^2+y_1+z_12^34` | 在TeX中,上标符号只作用一个字符,但是对数字却是一次作用到整数结束 |
| \`sin^-1(x)\` | `sin^-1(x)` | function names are treated as constants |
| \`d/dxf(x)=lim_(h->0)(f(x+h)-f(x))/h\` | `d/dxf(x)=lim_(h->0)(f(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}\$ | $\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$ | standard LaTeX notation is an alternative |
| \`f(x)=sum_(n=0)^oo(f^((n))(a))/(n!)(x-a)^n\` | `f(x)=sum_(n=0)^oo(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\$ | $f(x)=\sum_{n=0}^\infty\frac{f^{(n)}(a)}{n!}(x-a)^n$ | standard LaTeX produces the same result |
| \`int_0^1f(x)dx\` | `int_0^1f(x)dx` | subscripts must come before superscripts |
| \`[[a,b],[c,d]]((n),(k))\` | `[[a,b],[c,d]]((n),(k))` | matrices and column vectors are simple to type |
| \`x/x={(1,if x!=0),(text{undefined},if x=0):}\` | `x/x={(1,if x!=0),(text{undefined},if x=0):}` | piecewise defined function are based on matrix notation |
| \`a//b\` | `a//b` | use // for inline fractions |
| \`(a/b)/(c/d)\` | `(a/b)/(c/d)` | with brackets, multiple fraction work as expected |
| \`a/b/c/d\` | `a/b/c/d` | without brackets the parser chooses this particular expression |
| \`((a*b))/c\` | `((a*b))/c` | only one level of brackets is removed; * gives standard product |
| \`sqrtsqrtroot3x\` | `sqrtsqrtroot3x` | spaces are optional, only serve to split strings that should not match |
| \`(:a,b:) and {:(x,y),(u,v):}\` | `(:a,b:) and {:(x,y),(u,v):}` | angle brackets and invisible brackets |
| \`(a,b]={x in RR : a < x <= b}\` | `(a,b]={x in RR : a < x <= b}` | 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\` | `hat(ab) bar(xy) ulA vec v dotx ddot y` | accents can be used on any expression (work well in IE) |
| \`bb{AB3}.bbb(AB].cc(AB).fr{AB}.tt[AB].sf(AB)\` | `bb{AB3}.bbb(AB].cc(AB).fr{AB}.tt[AB].sf(AB)` | font commands; can use any brackets around argument |
| \`stackrel"def"= or \stackrel{\Delta}{=}" "("or ":=)\` | `stackrel"def"= or \stackrel{\Delta}{=}" "("or ":=)` | symbols can be stacked |
| \`{::}_(\ 92)^238U\` | `{::}_(\ 92)^238U` | prescripts simulated by subsuperscripts |