询 · MathJax \ LaTeX 公式(四)

询 · MathJax \ LaTeX 公式(四):log 类,字母修饰。


log 类|Log-like

渲染输入
sin, cos, tan, cot, csc, sec\sin, \cos, \tan, \cot, \csc, \sec
arcsin, arccos, arctan\arcsin, \arccos, \arctan
sinh, cosh, tanh, coth\sinh, \cosh, \tanh, \coth
arg\arg
gcd\gcd
deg\deg
det\det
dim\dim
exp\exp
hom\hom
lim\lim
inf, sup\inf, \sup
lim inf, lim sup, lim, lim\liminf, \limsup, \varliminf, \varlimsup
ker\ker
ln, log, lg\ln, \log, \lg
max, min\max, \min

部分符号的含义如下:

  • arg:argument:
    • 复数的辐角;
    • 极值点,如 argmaxxSf(x) 表示 f(x)S 上的极大值点或点集;
  • gcd:greatest common divisor,最大公约数;
  • deg:degree,通常指 degree of a polynomial,即多项式的次数;
  • det:determinant,(矩阵的)行列式;
  • dim,dimension,(向量空间或线性空间等的)维数;
  • exp:exponential function,指数函数;
  • (不确定)hom:homomorphism,同态;
  • inf / sup:inferior / superior,下确界与上确界;
  • lim inf, lim:序列的下极限;
  • lim sup, lim:序列的上极限;
  • ker:kernel,矩阵的核;

字母修饰|Accents

渲染输入
a˙, a¨, a, a\dot{a}, \ddot{a}, \dddot{a}, \ddddot{a}
a\vec{a}
a¯\bar{a}
a´, a`, a^, a˘, aˇ, a~\acute{a}, \grave{a}, \hat{a}, \breve{a}, \check{a}, \tilde{a}
abc, abc\overrightarrow{abc}, \overleftarrow{abc}
abc, abc\underrightarrow{abc}, \underleftarrow{abc}
abc, abc\overleftrightarrow{abc}, \underleftrightarrow{abc}
abc, abc\overline{abc}, \underline{abc}
abc, abc\overbrace{abc}, \underbrace{abc}
abcabc, abcabc\overbracket{abc}, \underbracket{abc}
abc\sqrt{abc}
abc~, abc^\widetilde{abc}, \widehat{abc}
abc, abc\xleftarrow{abc}, \xrightarrow{abc}
abc, abc\xLeftarrow{abc}, \xRightarrow{abc}
abc, abc\xleftrightarrow{abc}, \xLeftrightarrow{abc}
=abc\xlongequal{abc}