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| Rev | Author | Line No. | Line |
|---|---|---|---|
| 3268 | zjchen | 1 | :数学函数 |
| 2 | :函数,例,效果 |
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| 3263 | bpr | 3 | :evalue |
| 4 | evalue(x^2+sin(y),x=3,y=4) |
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| 5 | 函数 x^2+sin(y)在 x=3, y=4 处赋值 |
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| 6 | :solve |
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| 7 | solve(x^3-3*x+1,x=0..1) |
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| 8 | x^3-3x+1 在 0 与 1 间的单根 |
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| 9 | :simplify |
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| 10 | simplify(x^5*y^3/x^2/y) |
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| 11 | 化简: x<sup>3</sup>y<sup>2</sup> |
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| 12 | :diff |
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| 13 | diff(sin(x)+cos(y),x) |
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| 14 | sin(x)+cos(y) 关于 x 的导数 |
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| 15 | :int |
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| 16 | int(x^2+3*x+1,x) |
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| 17 | x^2+3*x+1 的原函数, 常数项不定 |
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| 18 | :int |
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| 19 | int(t^2+3*t+1,t=0..1) |
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| 20 | x^2+3*x+1 从 0 到 1 的数值积分 |
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| 21 | :det |
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| 22 | det(\mat) |
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| 23 | 矩阵 \mat 的行列式 |
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| 24 | |||
| 25 | :sin tg tan sec (1/sin) cot cotan cotan ctg csc (1/cos) |
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| 26 | |||
| 3268 | zjchen | 27 | 三角函数 |
| 3263 | bpr | 28 | :acos acos arccos acos arcsin asin arctan atan arctg atan |
| 29 | |||
| 3268 | zjchen | 30 | 反三角函数 |
| 3263 | bpr | 31 | :sh sinh tanh tanh th ch cosh coth cotanh |
| 32 | |||
| 3268 | zjchen | 33 | 双曲函数 |
| 3263 | bpr | 34 | |
| 35 | |||
| 36 | :Argch acosh argch Argsh asinh argsh Argth atanh argth |
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| 37 | |||
| 3268 | zjchen | 38 | 反双曲函数 |
| 3263 | bpr | 39 | :sqrt |
| 40 | \real{a=sqrt(32)} |
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| 3268 | zjchen | 41 | 平方根 |
| 3263 | bpr | 42 | :binomial |
| 43 | \integer{a=binomial(9,3)} |
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| 3268 | zjchen | 44 | 二项式系数 (用于小于 10^7 的数, 否则利用 pari 的函数 \text{a=pari(binomial(50,10))} |
| 3263 | bpr | 45 | :ceil |
| 46 | \real{a=ceil(3.4)} |
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| 3268 | zjchen | 47 | 大于等于此数的最小整数 |
| 3263 | bpr | 48 | :floor |
| 49 | \real{a=floor(3.4)} |
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| 3268 | zjchen | 50 | 小于等于此数的最大整数 |
| 3263 | bpr | 51 | :rint round |
| 52 | \real{a=rint(3.4)} |
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| 3268 | zjchen | 53 | 最接近的整数 |
| 3263 | bpr | 54 | :e E |
| 55 | \real{a=e^2} |
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| 3268 | zjchen | 56 | 数学常数 $m_e |
| 3263 | bpr | 57 | :erf |
| 58 | :erfc |
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| 59 | :EULER Euler euler |
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| 60 | :exp |
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| 61 | :factorial |
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| 62 | \integer{a=factorial(4)} |
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| 3268 | zjchen | 63 | 阶乘 |
| 3263 | bpr | 64 | :Inf |
| 65 | \real{a=Inf + 3} |
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| 3268 | zjchen | 66 | 无穷大 |
| 3263 | bpr | 67 | :gcd |
| 68 | \integer{a=gcd(4,6)} |
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| 3268 | zjchen | 69 | 两个整数的最大公约数 |
| 3263 | bpr | 70 | :lcm |
| 71 | \integer{a=lcm(4,6)} |
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| 3268 | zjchen | 72 | 两个整数的最小公倍数 |
| 3263 | bpr | 73 | :max |
| 74 | \real{a=max(4,6)} |
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| 3268 | zjchen | 75 | 两数的大者 |
| 3263 | bpr | 76 | :min |
| 77 | \real{a=gcd(4,6)} |
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| 3268 | zjchen | 78 | 两数的小者 |
| 3263 | bpr | 79 | :lg log10 |
| 80 | \real{a=log10(10^4)} |
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| 3268 | zjchen | 81 | 常用对数 |
| 3263 | bpr | 82 | :lgamma |
| 83 | \real{a=lgamma(e^(24))} |
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| 3268 | zjchen | 84 | Gamma 函数的对数 |
| 3263 | bpr | 85 | :ln log |
| 86 | \real{a=ln(e^4)} |
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| 3268 | zjchen | 87 | 自然对数 |
| 3263 | bpr | 88 | :log2 mylog2 |
| 89 | \real{a=log2(2^4)} |
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| 3268 | zjchen | 90 | 以 2 为底的对数 |
| 3263 | bpr | 91 | :pow |
| 92 | \real{a=pow(3,0.6)} |
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| 3268 | zjchen | 93 | 取乘幂 3^0.6 |
| 3263 | bpr | 94 | :sgn sign |
| 95 | \integer{a=sign(-4)} |
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| 3268 | zjchen | 96 | 取符号 |
| 3263 | bpr | 97 | :PI Pi pi |
| 98 | \real{a=sin(Pi)} |
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| 3268 | zjchen | 99 | 圆周率 $m_pi |