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| Rev | Author | Line No. | Line |
|---|---|---|---|
| 3263 | bpr | 1 | :Mathematical functions |
| 3264 | bpr | 2 | :Function,Example,Effect |
| 3263 | bpr | 3 | :evalue |
| 4 | evalue(x^2+sin(y),x=3,y=4) |
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| 5 | evaluation of the function x^2+sin(y), for x=3, y=4 |
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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 | the simple root of x^3-3x+1 between 0 and 1 |
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| 9 | :simplify |
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| 10 | simplify(x^5*y^3*x^2/y) |
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| 11 | simplified expression: x<sup>7</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 | the derivative of sin(x)+cos(y) with respect to x |
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| 15 | :int |
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| 16 | int(x^2+3*x+1,x) |
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| 17 | anti-derivative of x^2+3*x+1,<br> the constant term being undertermined |
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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 | the numerical integration of x^2+3*x+1, from 0 to 1 |
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| 21 | :det |
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| 22 | det(\mat) |
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| 23 | determinant of the matrix \mat |
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| 24 | |||
| 25 | :sin tg tan sec (1/sin) cot cotan cotan ctg csc (1/cos) |
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| 26 | |||
| 27 | fonctions trigonométriques |
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| 28 | :acos acos arccos acos arcsin asin arctan atan arctg atan |
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| 29 | |||
| 30 | fonctions trigonométriques réciproques |
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| 31 | :sh sinh tanh tanh th ch cosh coth cotanh |
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| 32 | |||
| 33 | fonctions hyperboliques |
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| 34 | |||
| 35 | |||
| 36 | :Argch acosh argch Argsh asinh argsh Argth atanh argth |
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| 37 | |||
| 38 | fonctions hyperboliques réciproques |
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| 39 | :sqrt |
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| 40 | \real{a=sqrt(32)} |
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| 41 | racine carrée |
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| 42 | :binomial |
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| 43 | \integer{a=binomial(9,3)} |
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| 44 | le coefficient binomial (pour des coefficients inférieurs à 10^7 sinon |
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| 45 | utiliser la fonction de pari \text{a=pari(binomial(50,10))} |
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| 46 | :ceil |
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| 47 | \real{a=ceil(3.4)} |
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| 48 | le plus petit entier supérieur |
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| 49 | :floor |
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| 50 | \real{a=floor(3.4)} |
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| 51 | le plus grand entier inférieur |
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| 52 | :rint round |
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| 53 | \real{a=rint(3.4)} |
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| 54 | closest integer |
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| 55 | :e E |
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| 56 | \real{a=e^2} |
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| 57 | constante mathématique $m_e |
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| 58 | :erf |
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| 59 | :erfc |
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| 60 | :EULER Euler euler |
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| 61 | :exp |
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| 62 | :factorial |
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| 63 | \integer{a=factorial(4)} |
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| 64 | factorielle |
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| 65 | :Inf |
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| 66 | \real{a=Inf + 3} |
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| 67 | l'infini |
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| 68 | :gcd |
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| 69 | \integer{a=gcd(4,6)} |
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| 70 | pgcd de deux entiers |
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| 71 | :lcm |
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| 72 | \integer{a=lcm(4,6)} |
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| 73 | ppcm de deux entiers |
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| 74 | :max |
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| 75 | \real{a=max(4,6)} |
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| 76 | maximum de deux nombres |
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| 77 | :min |
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| 78 | \real{a=gcd(4,6)} |
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| 79 | minimum de deux nombres |
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| 80 | :lg log10 |
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| 81 | \real{a=log10(10^4)} |
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| 82 | log en base 10 |
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| 83 | :lgamma |
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| 84 | \real{a=lgamma(e^(24))} |
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| 85 | log de la fonction Gamma |
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| 86 | :ln log |
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| 87 | \real{a=ln(e^4)} |
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| 88 | log népérien |
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| 89 | :log2 mylog2 |
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| 90 | \real{a=log2(2^4)} |
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| 91 | log en base 2 |
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| 92 | :pow |
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| 93 | \real{a=pow(3,0.6)} |
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| 94 | puissance, équivalent à 3^0.6 |
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| 95 | :sgn sign |
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| 96 | \integer{a=sign(-4)} |
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| 97 | signe de la valeur |
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| 98 | :PI Pi pi |
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| 99 | \real{a=sin(Pi)} |
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| 100 | constante mathématique $m_pi |