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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 |