From 3f67df5e8a0bd863544a6f70c44a90a976c066fb Mon Sep 17 00:00:00 2001 From: Luke Weiler Date: Mon, 19 Dec 2022 03:16:36 -0500 Subject: [PATCH] Rename complex_division to fraction_to_decimal (#395) --- README.md | 246 +++++++++--------- mathgenerator/funcs/basic_math/__init__.py | 2 +- ...lex_division.py => fraction_to_decimal.py} | 7 +- 3 files changed, 127 insertions(+), 128 deletions(-) rename mathgenerator/funcs/basic_math/{complex_division.py => fraction_to_decimal.py} (73%) diff --git a/README.md b/README.md index 1592bdd..6e6a9b1 100644 --- a/README.md +++ b/README.md @@ -74,145 +74,145 @@ You can also use `getGenList()` to return a list of all generators included in t ## algebra | Id | Skill | Example problem | Example Solution | Function Name | Kwargs | |------|-------|-----------------|------------------|---------------|--------| -| 11 | [Basic Algebra](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/basic_algebra.py) | 9x + 5 = 8 | 1/3 | basic_algebra | `maxVariable=10` | -| 12 | [Logarithm](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/log.py) | log2(256) | 8 | log | `maxBase=3` `maxVal=8` | -| 17 | [Integer Multiplication with 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_int_to_22_matrix.py) | 9 * [[7, 8], [6, 8]] = | [[63,72],[54,72]] | multiply_int_to_22_matrix | `maxMatrixVal=10` `maxRes=100` | -| 20 | [Midpoint of the two point](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/midpoint_of_two_points.py) | (-12,5),(-20,6)= | (-16.0,5.5) | midpoint_of_two_points | `maxValue=20` | -| 21 | [Factoring Quadratic](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/factoring.py) | x^2-8x+15 | (x-3)(x-5) | factoring | `range_x1=10` `range_x2=10` | -| 23 | [Solve a System of Equations in R^2](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/system_of_equations.py) | 5x + 3y = -1, -9x - 3y = -15 | x = 4, y = -7 | system_of_equations | `range_x=10` `range_y=10` `coeff_mult_range=10` | -| 24 | [Distance between 2 points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/distance_two_points.py) | Find the distance between (-19, -9) and (16, 14) | sqrt(1754) | distance_two_points | `maxValXY=20` `minValXY=-20` | -| 26 | [Linear Equations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/linear_equations.py) | 7x + -13y = 198, -4x + 19y = -171 | x = 19, y = -5 | linear_equations | `n=2` `varRange=20` `coeffRange=20` | -| 41 | [Intersection of Two Lines](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/intersection_of_two_lines.py) | Find the point of intersection of the two lines: y = -10/6x + 7 and y = -1/3x + 9 | (-3/2, 19/2) | intersection_of_two_lines | `minM=-10` `maxM=10` `minB=-10` `maxB=10` `minDenominator=1` `maxDenominator=6` | -| 43 | [Cross Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_cross.py) | [12, 14, -20] X [11, 13, 3] = | [302, -256, 2] | vector_cross | `minVal=-20` `maxVal=20` | -| 45 | [Simple Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/simple_interest.py) | Simple interest for a principle amount of 2634 dollars, 1% rate of interest and for a time period of 10 years is = | 263.4 | simple_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` | -| 46 | [Multiplication of two matrices](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/matrix_multiplication.py) | Multiply
74-1-4
58-97
-60-3-10
and
1-5-9
2-1010
-96-8
-7410
|
52-97-55
53-131177
91-28-22
| matrix_multiplication | `maxVal=100` `max_dim=10` | -| 50 | [Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/quadratic_equation.py) | Zeros of the Quadratic Equation 4x^2+176x+52=0 | [-0.3, -43.7] | quadratic_equation | `maxVal=100` | -| 65 | [Multiplication of 2 complex numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_complex_numbers.py) | (2+14j) * (-7-11j) = | (140-120j) | multiply_complex_numbers | `minRealImaginaryNum=-20` `maxRealImaginaryNum=20` | -| 72 | [Dot Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_dot.py) | [-18, 1, -5] . [10, 6, 19] = | -269 | vector_dot | `minVal=-20` `maxVal=20` | -| 74 | [Inverse of a Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/invert_matrix.py) | Inverse of Matrix Matrix([[23, 69, 7], [40, 91, 89], [11, 1, 47]]) is: | Matrix([[1047/6857, -809/6857, 1376/6857], [-901/27428, 251/6857, -1767/27428], [-961/27428, 184/6857, -667/27428]]) | invert_matrix | `SquareMatrixDimension=3` `MaxMatrixElement=99` `OnlyIntegerElementsInInvertedMatrix=False` | -| 77 | [Determinant to 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/int_matrix_22_determinant.py) | Det([[87, 46], [20, 61]]) = | 4387 | int_matrix_22_determinant | `maxMatrixVal=100` | -| 78 | [Compound Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/compound_interest.py) | Compound interest for a principle amount of 1502 dollars, 8% rate of interest and for a time period of 8 year is = | 2780.1 | compound_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` | -| 100 | [complex Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/complex_quadratic.py) | Find the roots of given Quadratic Equation 4x^2 + 9x + 2 = 0 | simplified solution : ((-0.25, -2.0)), generalized solution : ((-9 + 7)/2*4, (-9 - 7)/2*4) | complex_quadratic | `prob_type=0` `max_range=10` | -| 105 | [Combine Like terms](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/combine_like_terms.py) | 4x^6 + 9x^6 + 1x^4 + 2x^4 + 4x^1 + 3x^2 + 8x^5 | 4x^1 + 3x^2 + 3x^4 + 8x^5 + 13x^6 | combine_like_terms | `maxCoef=10` `maxExp=20` `maxTerms=10` | -| 111 | [Expanding Factored Binomial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/expanding.py) | (x-4)(-1x+9) | -1*x^2+13*x-36 | expanding | `range_x1=10` `range_x2=10` `range_a=10` `range_b=10` | +| 11 | [Basic Algebra](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/basic_algebra.py) | 7x + 1 = 6 | 5/7 | basic_algebra | `maxVariable=10` | +| 12 | [Logarithm](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/log.py) | log2(16) | 4 | log | `maxBase=3` `maxVal=8` | +| 17 | [Integer Multiplication with 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_int_to_22_matrix.py) | 5 * [[0, 4], [3, 0]] = | [[0,20],[15,0]] | multiply_int_to_22_matrix | `maxMatrixVal=10` `maxRes=100` | +| 20 | [Midpoint of the two point](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/midpoint_of_two_points.py) | (3,-13),(-6,5)= | (-1.5,-4.0) | midpoint_of_two_points | `maxValue=20` | +| 21 | [Factoring Quadratic](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/factoring.py) | x^2+2x-48 | (x-6)(x+8) | factoring | `range_x1=10` `range_x2=10` | +| 23 | [Solve a System of Equations in R^2](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/system_of_equations.py) | 5x + 2y = -9, -10x - y = -3 | x = 1, y = -7 | system_of_equations | `range_x=10` `range_y=10` `coeff_mult_range=10` | +| 24 | [Distance between 2 points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/distance_two_points.py) | Find the distance between (4, 18) and (-9, 4) | sqrt(365) | distance_two_points | `maxValXY=20` `minValXY=-20` | +| 26 | [Linear Equations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/linear_equations.py) | -18x + 11y = 445, 12x + -8y = -304 | x = -18, y = 11 | linear_equations | `n=2` `varRange=20` `coeffRange=20` | +| 41 | [Intersection of Two Lines](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/intersection_of_two_lines.py) | Find the point of intersection of the two lines: y = -x + 1 and y = -1/6x + 1 | (0, 1) | intersection_of_two_lines | `minM=-10` `maxM=10` `minB=-10` `maxB=10` `minDenominator=1` `maxDenominator=6` | +| 43 | [Cross Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_cross.py) | [9, 6, -6] X [-1, -4, -3] = | [-42, 33, -30] | vector_cross | `minVal=-20` `maxVal=20` | +| 45 | [Simple Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/simple_interest.py) | Simple interest for a principle amount of 5981 dollars, 9% rate of interest and for a time period of 4 years is = | 2153.16 | simple_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` | +| 46 | [Multiplication of two matrices](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/matrix_multiplication.py) | Multiply
5-3-2
3-72
-160
and
-90
93
-73
|
-58-15
-104-15
6318
| matrix_multiplication | `maxVal=100` `max_dim=10` | +| 50 | [Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/quadratic_equation.py) | Zeros of the Quadratic Equation 47x^2+185x+57=0 | [-0.34, -3.6] | quadratic_equation | `maxVal=100` | +| 65 | [Multiplication of 2 complex numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/multiply_complex_numbers.py) | (8+0j) * (3-16j) = | (24-128j) | multiply_complex_numbers | `minRealImaginaryNum=-20` `maxRealImaginaryNum=20` | +| 72 | [Dot Product of 2 Vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/vector_dot.py) | [20, 15, -19] . [2, 6, 19] = | -231 | vector_dot | `minVal=-20` `maxVal=20` | +| 74 | [Inverse of a Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/invert_matrix.py) | Inverse of Matrix Matrix([[53, 37, 10], [19, 33, 67], [29, 74, 73]]) is: | Matrix([[2549/110035, 1961/110035, -2149/110035], [-556/110035, -3579/110035, 3361/110035], [-449/110035, 2849/110035, -1046/110035]]) | invert_matrix | `SquareMatrixDimension=3` `MaxMatrixElement=99` `OnlyIntegerElementsInInvertedMatrix=False` | +| 77 | [Determinant to 2x2 Matrix](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/int_matrix_22_determinant.py) | Det([[55, 18], [12, 62]]) = | 3194 | int_matrix_22_determinant | `maxMatrixVal=100` | +| 78 | [Compound Interest](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/compound_interest.py) | Compound interest for a principle amount of 8346 dollars, 1% rate of interest and for a time period of 5 year is = | 8771.73 | compound_interest | `maxPrinciple=10000` `maxRate=10` `maxTime=10` | +| 100 | [complex Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/complex_quadratic.py) | Find the roots of given Quadratic Equation 7x^2 + 8x + 1 = 0 | simplified solution : ((-0.143, -1.0)), generalized solution : ((-8 + 6)/2*7, (-8 - 6)/2*7) | complex_quadratic | `prob_type=0` `max_range=10` | +| 105 | [Combine Like terms](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/combine_like_terms.py) | 5x^1 + 10x^2 | 5x^1 + 10x^2 | combine_like_terms | `maxCoef=10` `maxExp=20` `maxTerms=10` | +| 111 | [Expanding Factored Binomial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/algebra/expanding.py) | (-9x+3)(-5x+10) | 45*x^2-105*x+30 | expanding | `range_x1=10` `range_x2=10` `range_a=10` `range_b=10` | ## basic_math | Id | Skill | Example problem | Example Solution | Function Name | Kwargs | |------|-------|-----------------|------------------|---------------|--------| -| 0 | [Addition](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/addition.py) | \(33+2\) | 35 | addition | `maxSum=99` `maxAddend=50` | -| 1 | [Subtraction](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/subtraction.py) | 11-9= | 2 | subtraction | `maxMinuend=99` `maxDiff=99` | -| 2 | [Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/multiplication.py) | 10*9= | 90 | multiplication | `maxMulti=12` | -| 3 | [Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/division.py) | 208/16= | 13 | division | `maxA=25` `maxB=25` | -| 6 | [Square Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square_root.py) | sqrt(144)= | 12 | square_root | `minNo=1` `maxNo=12` | -| 8 | [Square](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square.py) | 15^2= | 225 | square | `maxSquareNum=20` | -| 13 | [Complex Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/complex_division.py) | 62/71= | 0.87 | complex_division | `maxRes=99` `maxDivid=99` | -| 16 | [Fraction Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/divide_fractions.py) | (1/8)/(4/6) | 3/16 | divide_fractions | `maxVal=10` | -| 28 | [Fraction Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/fraction_multiplication.py) | (4/7)*(8/5) | 32/35 | fraction_multiplication | `maxVal=10` | -| 31 | [Factorial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/factorial.py) | 6! = | 720 | factorial | `maxInput=6` | -| 44 | [Compare Fractions](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/compare_fractions.py) | Which symbol represents the comparison between 8/7 and 9/4? | < | compare_fractions | `maxVal=10` | -| 47 | [Cube Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/cube_root.py) | What is the cube root of 419 up to 2 decimal places? | 7.48 | cube_root | `minNo=1` `maxNo=1000` | -| 53 | [Exponentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/exponentiation.py) | 19^4 = | 130321 | exponentiation | `maxBase=20` `maxExpo=10` | -| 71 | [Absolute difference between two numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/absolute_difference.py) | |86--54|= | 140 | absolute_difference | `maxA=100` `maxB=100` | -| 80 | [Percentage of a number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage.py) | What is 87% of 15? | 13.05 | percentage | `maxValue=99` `maxpercentage=99` | -| 90 | [isprime](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/is_prime.py) | Is 59 prime? | Yes | is_prime | `max_num=100` | -| 97 | [Power of Powers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/power_of_powers.py) | Simplify 23^9^4= | 23^36 | power_of_powers | `maxBase=50` `maxPower=10` | -| 118 | [Percentage difference](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage_difference.py) | What is the percentage difference between 151 and 58? | 89.0% | percentage_difference | `maxValue=200` `minValue=0` | -| 119 | [Percentage error](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage_error.py) | Find the percentage error when observed value equals -81 and exact value equals -71. | 14.08% | percentage_error | `maxValue=100` `minValue=-100` | -| 120 | [Greatest Common Divisor of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/greatest_common_divisor.py) | GCD(216648151,624159450)= | 1 | greatest_common_divisor | `numbersCount=2` `maximalNumberLimit=10**9` | +| 0 | [Addition](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/addition.py) | \(25+2\) | 27 | addition | `maxSum=99` `maxAddend=50` | +| 1 | [Subtraction](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/subtraction.py) | 40-4= | 36 | subtraction | `maxMinuend=99` `maxDiff=99` | +| 2 | [Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/multiplication.py) | 7*0= | 0 | multiplication | `maxMulti=12` | +| 3 | [Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/division.py) | 165/15= | 11 | division | `maxA=25` `maxB=25` | +| 6 | [Square Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square_root.py) | sqrt(25)= | 5 | square_root | `minNo=1` `maxNo=12` | +| 8 | [Square](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/square.py) | 18^2= | 324 | square | `maxSquareNum=20` | +| 13 | [Complex Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/complex_division.py) | 10/10= | 1.0 | complex_division | `maxRes=99` `maxDivid=99` | +| 16 | [Fraction Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/divide_fractions.py) | (8/9)/(1/2) | 16/9 | divide_fractions | `maxVal=10` | +| 28 | [Fraction Multiplication](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/fraction_multiplication.py) | (4/10)*(2/4) | 1/5 | fraction_multiplication | `maxVal=10` | +| 31 | [Factorial](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/factorial.py) | 2! = | 2 | factorial | `maxInput=6` | +| 44 | [Compare Fractions](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/compare_fractions.py) | Which symbol represents the comparison between 8/3 and 3/7? | > | compare_fractions | `maxVal=10` | +| 47 | [Cube Root](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/cube_root.py) | What is the cube root of 962 up to 2 decimal places? | 9.87 | cube_root | `minNo=1` `maxNo=1000` | +| 53 | [Exponentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/exponentiation.py) | 20^8 = | 25600000000 | exponentiation | `maxBase=20` `maxExpo=10` | +| 71 | [Absolute difference between two numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/absolute_difference.py) | |3--65|= | 68 | absolute_difference | `maxA=100` `maxB=100` | +| 80 | [Percentage of a number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage.py) | What is 16% of 57? | 9.12 | percentage | `maxValue=99` `maxpercentage=99` | +| 90 | [isprime](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/is_prime.py) | Is 84 prime? | No | is_prime | `max_num=100` | +| 97 | [Power of Powers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/power_of_powers.py) | Simplify 21^2^1= | 21^2 | power_of_powers | `maxBase=50` `maxPower=10` | +| 118 | [Percentage difference](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage_difference.py) | What is the percentage difference between 172 and 6? | 186.52% | percentage_difference | `maxValue=200` `minValue=0` | +| 119 | [Percentage error](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/percentage_error.py) | Find the percentage error when observed value equals -74 and exact value equals -30. | 146.67% | percentage_error | `maxValue=100` `minValue=-100` | +| 120 | [Greatest Common Divisor of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/basic_math/greatest_common_divisor.py) | GCD(29525945,314084311)= | 1 | greatest_common_divisor | `numbersCount=2` `maximalNumberLimit=10**9` | ## calculus | Id | Skill | Example problem | Example Solution | Function Name | Kwargs | |------|-------|-----------------|------------------|---------------|--------| -| 7 | [Power Rule Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_differentiation.py) | 2x^1 | 2x^0 | power_rule_differentiation | `maxCoef=10` `maxExp=10` `maxTerms=5` | -| 48 | [Power Rule Integration](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_integration.py) | 8x^3 + 6x^2 + 2x^6 | (8/3)x^4 + (6/2)x^3 + (2/6)x^7 + c | power_rule_integration | `maxCoef=10` `maxExp=10` `maxTerms=5` | -| 88 | [Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/differentiation.py) | differentiate w.r.t x : d(exp(x)+9*x^(-2))/dx | exp(x) - 18/x^3 | differentiation | `diff_lvl=2` | -| 89 | [Definite Integral of Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/definite_integral.py) | The definite integral within limits 0 to 1 of the equation 76x^2 + 77x + 65 is = | 128.8333 | definite_integral | `max_coeff=100` | -| 110 | [Stationary Points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/stationary_points.py) | f(x)=x^3 + x^2 + x + 10 | | stationary_points | `maxExp=3` `maxCoef=10` | +| 7 | [Power Rule Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_differentiation.py) | 9x^9 + 6x^5 | 81x^8 + 30x^4 | power_rule_differentiation | `maxCoef=10` `maxExp=10` `maxTerms=5` | +| 48 | [Power Rule Integration](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/power_rule_integration.py) | 3x^10 + 2x^10 | (3/10)x^11 + (2/10)x^11 + c | power_rule_integration | `maxCoef=10` `maxExp=10` `maxTerms=5` | +| 88 | [Differentiation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/differentiation.py) | differentiate w.r.t x : d(tan(x)+3*x^3)/dx | 9*x^2 + tan(x)^2 + 1 | differentiation | `diff_lvl=2` | +| 89 | [Definite Integral of Quadratic Equation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/definite_integral.py) | The definite integral within limits 0 to 1 of the equation 91x^2 + 24x + 10 is = | 52.3333 | definite_integral | `max_coeff=100` | +| 110 | [Stationary Points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/calculus/stationary_points.py) | f(x)=10*x^3 + 10*x^2 + 2*x + 6 | (-1/3 - sqrt(10)/15,10*(-1/3 - sqrt(10)/15)**3 - 2*sqrt(10)/15 + 10*(-1/3 - sqrt(10)/15)**2 + 16/3),(-1/3 + sqrt(10)/15,10*(-1/3 + sqrt(10)/15)**3 + 10*(-1/3 + sqrt(10)/15)**2 + 2*sqrt(10)/15 + 16/3) | stationary_points | `maxExp=3` `maxCoef=10` | ## computer_science | Id | Skill | Example problem | Example Solution | Function Name | Kwargs | |------|-------|-----------------|------------------|---------------|--------| -| 4 | [Binary Complement 1s](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_complement_1s.py) | 00= | 11 | binary_complement_1s | `maxDigits=10` | -| 5 | [Modulo Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/modulo_division.py) | 7%69= | 7 | modulo_division | `maxRes=99` `maxModulo=99` | -| 14 | [Decimal to Binary](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_binary.py) | Binary of 87= | 1010111 | decimal_to_binary | `max_dec=99` | -| 15 | [Binary to Decimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_decimal.py) | 1 | 1 | binary_to_decimal | `max_dig=10` | -| 56 | [Fibonacci Series](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/fibonacci_series.py) | The Fibonacci Series of the first 8 numbers is ? | [0, 1, 1, 2, 3, 5, 8, 13] | fibonacci_series | `minNo=1` | -| 62 | [nth Fibonacci number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/nth_fibonacci_number.py) | What is the 13th Fibonacci number? | 233 | nth_fibonacci_number | `maxN=100` | -| 64 | [Binary to Hexidecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_hex.py) | 00100 | 0x4 | binary_to_hex | `max_dig=10` | -| 73 | [Binary 2's Complement](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_2s_complement.py) | 2's complement of 1010 = | 110 | binary_2s_complement | `maxDigits=10` | -| 79 | [Decimal to Hexadecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_hexadeci.py) | Binary of 461= | 0x1cd | decimal_to_hexadeci | `max_dec=1000` | -| 84 | [Converts decimal to octal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_octal.py) | The decimal number 1681 in Octal is: | 0o3221 | decimal_to_octal | `maxDecimal=4096` | -| 91 | [Binary Coded Decimal to Integer](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/bcd_to_decimal.py) | Integer of Binary Coded Decimal 8 is = | 33878 | bcd_to_decimal | `maxNumber=10000` | -| 103 | [Decimal to Binary Coded Decimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_bcd.py) | BCD of Decimal Number 6236 is = | 18512 | decimal_to_bcd | `maxNumber=10000` | +| 4 | [Binary Complement 1s](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_complement_1s.py) | 0110= | 1001 | binary_complement_1s | `maxDigits=10` | +| 5 | [Modulo Division](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/modulo_division.py) | 82%80= | 2 | modulo_division | `maxRes=99` `maxModulo=99` | +| 14 | [Decimal to Binary](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_binary.py) | Binary of 82= | 1010010 | decimal_to_binary | `max_dec=99` | +| 15 | [Binary to Decimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_decimal.py) | 1010 | 10 | binary_to_decimal | `max_dig=10` | +| 56 | [Fibonacci Series](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/fibonacci_series.py) | The Fibonacci Series of the first 3 numbers is ? | [0, 1, 1] | fibonacci_series | `minNo=1` | +| 62 | [nth Fibonacci number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/nth_fibonacci_number.py) | What is the 31th Fibonacci number? | 1346269 | nth_fibonacci_number | `maxN=100` | +| 64 | [Binary to Hexidecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_to_hex.py) | 00 | 0x0 | binary_to_hex | `max_dig=10` | +| 73 | [Binary 2's Complement](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/binary_2s_complement.py) | 2's complement of 1011111 = | 100001 | binary_2s_complement | `maxDigits=10` | +| 79 | [Decimal to Hexadecimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_hexadeci.py) | Binary of 595= | 0x253 | decimal_to_hexadeci | `max_dec=1000` | +| 84 | [Converts decimal to octal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_octal.py) | The decimal number 3335 in Octal is: | 0o6407 | decimal_to_octal | `maxDecimal=4096` | +| 91 | [Binary Coded Decimal to Integer](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/bcd_to_decimal.py) | Integer of Binary Coded Decimal 2 is = | 8295 | bcd_to_decimal | `maxNumber=10000` | +| 103 | [Decimal to Binary Coded Decimal](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/computer_science/decimal_to_bcd.py) | BCD of Decimal Number 3270 is = | 12126 | decimal_to_bcd | `maxNumber=10000` | ## geometry | Id | Skill | Example problem | Example Solution | Function Name | Kwargs | |------|-------|-----------------|------------------|---------------|--------| -| 18 | [Area of Triangle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_triangle.py) | Area of triangle with side lengths: 8 4 6 = | 11.62 | area_of_triangle | `maxA=20` `maxB=20` | -| 19 | [Triangle exists check](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/valid_triangle.py) | Does triangle with sides 3, 48 and 23 exist? | No | valid_triangle | `maxSideLength=50` | -| 22 | [Third Angle of Triangle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/third_angle_of_triangle.py) | Third angle of triangle with angles 37 and 79 = | 64 | third_angle_of_triangle | `maxAngle=89` | -| 25 | [Pythagorean Theorem](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/pythagorean_theorem.py) | The hypotenuse of a right triangle given the other two lengths 7 and 3 = | 7.62 | pythagorean_theorem | `maxLength=20` | -| 29 | [Angle of a Regular Polygon](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/angle_regular_polygon.py) | Find the angle of a regular polygon with 18 sides | 160.0 | angle_regular_polygon | `minVal=3` `maxVal=20` | -| 32 | [Surface Area of Cube](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cube.py) | Surface area of cube with side = 16m is | 1536 m^2 | surface_area_cube | `maxSide=20` `unit='m'` | -| 33 | [Surface Area of Cuboid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cuboid.py) | Surface area of cuboid with sides = 14m, 3m, 18m is | 696 m^2 | surface_area_cuboid | `maxSide=20` `unit='m'` | -| 34 | [Surface Area of Cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cylinder.py) | Surface area of cylinder with height = 2m and radius = 2m is | 50 m^2 | surface_area_cylinder | `maxRadius=20` `maxHeight=50` `unit='m'` | -| 35 | [Volume of Cube](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cube.py) | Volume of cube with side = 12m is | 1728 m^3 | volume_cube | `maxSide=20` `unit='m'` | -| 36 | [Volume of Cuboid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cuboid.py) | Volume of cuboid with sides = 12m, 11m, 10m is | 1320 m^3 | volume_cuboid | `maxSide=20` `unit='m'` | -| 37 | [Volume of cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cylinder.py) | Volume of cylinder with height = 25m and radius = 18m is | 25446 m^3 | volume_cylinder | `maxRadius=20` `maxHeight=50` `unit='m'` | -| 38 | [Surface Area of cone](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cone.py) | Surface area of cone with height = 2m and radius = 12m is | 911 m^2 | surface_area_cone | `maxRadius=20` `maxHeight=50` `unit='m'` | -| 39 | [Volume of cone](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cone.py) | Volume of cone with height = 25m and radius = 11m is | 3167 m^3 | volume_cone | `maxRadius=20` `maxHeight=50` `unit='m'` | -| 49 | [Fourth Angle of Quadrilateral](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/fourth_angle_of_quadrilateral.py) | Fourth angle of quadrilateral with angles 98 , 38, 15 = | 209 | fourth_angle_of_quadrilateral | `maxAngle=180` | -| 57 | [Trigonometric Values](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/basic_trigonometry.py) | What is tan(60)? | √3 | basic_trigonometry | `angles=[0, 30, 45, 60, 90]` `functions=['sin', 'cos', 'tan']` | -| 58 | [Sum of Angles of Polygon](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/sum_of_polygon_angles.py) | Sum of angles of polygon with 4 sides = | 360 | sum_of_polygon_angles | `maxSides=12` | -| 60 | [Surface Area of Sphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_sphere.py) | Surface area of Sphere with radius = 15m is | 2827.4333882308138 m^2 | surface_area_sphere | `maxSide=20` `unit='m'` | -| 61 | [Volume of Sphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_sphere.py) | Volume of sphere with radius 74 m = | 1697398.3219443604 m^3 | volume_sphere | `maxRadius=100` | -| 70 | [Angle between 2 vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/angle_btw_vectors.py) | angle between the vectors [415.62, 687.72, 239.91, 870.78, 127.29, 911.51, 534.49, 646.85, 347.39] and [705.5, 491.92, 634.77, 338.27, 249.11, 600.92, 272.22, 675.23, 798.99] is: | 0.57 radians | angle_btw_vectors | `maxEltAmt=20` | -| 75 | [Area of a Sector](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/sector_area.py) | Given radius, 46 and angle, 245. Find the area of the sector. | Area of sector = 4524.06795 | sector_area | `maxRadius=49` `maxAngle=359` | -| 86 | [Degrees to Radians](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/degree_to_rad.py) | Angle 168 in radians is = | 2.93 | degree_to_rad | `max_deg=360` | -| 87 | [Radians to Degrees](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/radian_to_deg.py) | Angle 1 in degrees is = | 57.3 | radian_to_deg | `max_rad=3` | -| 95 | [Curved surface area of a cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/curved_surface_area_cylinder.py) | What is the curved surface area of a cylinder of radius, 29 and height, 69? | CSA of cylinder = 12572.65 | curved_surface_area_cylinder | `maxRadius=49` `maxHeight=99` | -| 96 | [Perimeter of Polygons](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/perimeter_of_polygons.py) | The perimeter of a 9 sided polygon with lengths of [3, 100, 108, 49, 101, 99, 30, 88, 108]cm is: | 686 | perimeter_of_polygons | `maxSides=12` `maxLength=120` | -| 104 | [Circumference](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/circumference.py) | Circumference of circle with radius 98 | 615.7521601035994 | circumference | `maxRadius=100` | -| 108 | [Arc length of Angle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/arc_length.py) | Given radius, 33 and angle, 353. Find the arc length of the angle. | Arc length of the angle = 203.31340 | arc_length | `maxRadius=49` `maxAngle=359` | -| 112 | [Area of Circle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_circle.py) | Area of circle with radius 47 | 6942.571428571429 | area_of_circle | `maxRadius=100` | -| 113 | [Volume of frustum](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_frustum.py) | Volume of frustum with height = 3m and r1 = 7m is and r2 = 7m is | 461.0 m^3 | volume_frustum | `maxR1=20` `maxR2=20` `maxHeight=50` `unit='m'` | -| 114 | [Equation of line from two points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/equation_of_line_from_two_points.py) | What is the equation of the line between points (-17,-4) and (-8,19) in slope-intercept form? | 9y = 23x + 355 | equation_of_line_from_two_points | `maxCoordinate=20` `minCoordinate=-20` | -| 115 | [Area of Circle given center and a point on circle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_circle_given_center_and_point.py) | Area of circle with center (10,-6) and passing through (2.0, -6.0) is | 201.06 | area_of_circle_given_center_and_point | `maxCoordinate = 10` `maxRadius=10` | -| 117 | [Volume of Hemisphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_hemisphere.py) | Volume of hemisphere with radius 7 m = | 718.378 m^3 | volume_hemisphere | `maxRadius=100` | -| 122 | [Volume of pyramid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_pyramid.py) | Volume of pyramid with base length = 4 m, base width = 8 m and height = 24 m is | 256.0 m^3 | volume_pyramid | `maxLength=20` `maxWidth=20` `maxHeight=50` `unit='m'` | -| 123 | [Surface area of pyramid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_pyramid.py) | Surface area of pyramid with base length = 10m, base width = 24m, and height = 13m | 480 m^2 | surface_area_pyramid | `unit='m'` | +| 18 | [Area of Triangle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_triangle.py) | Area of triangle with side lengths: 16 18 7 = | 55.8 | area_of_triangle | `maxA=20` `maxB=20` | +| 19 | [Triangle exists check](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/valid_triangle.py) | Does triangle with sides 43, 29 and 45 exist? | Yes | valid_triangle | `maxSideLength=50` | +| 22 | [Third Angle of Triangle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/third_angle_of_triangle.py) | Third angle of triangle with angles 74 and 56 = | 50 | third_angle_of_triangle | `maxAngle=89` | +| 25 | [Pythagorean Theorem](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/pythagorean_theorem.py) | The hypotenuse of a right triangle given the other two lengths 12 and 13 = | 17.69 | pythagorean_theorem | `maxLength=20` | +| 29 | [Angle of a Regular Polygon](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/angle_regular_polygon.py) | Find the angle of a regular polygon with 6 sides | 120.0 | angle_regular_polygon | `minVal=3` `maxVal=20` | +| 32 | [Surface Area of Cube](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cube.py) | Surface area of cube with side = 14m is | 1176 m^2 | surface_area_cube | `maxSide=20` `unit='m'` | +| 33 | [Surface Area of Cuboid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cuboid.py) | Surface area of cuboid with sides = 2m, 20m, 15m is | 740 m^2 | surface_area_cuboid | `maxSide=20` `unit='m'` | +| 34 | [Surface Area of Cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cylinder.py) | Surface area of cylinder with height = 5m and radius = 20m is | 3141 m^2 | surface_area_cylinder | `maxRadius=20` `maxHeight=50` `unit='m'` | +| 35 | [Volume of Cube](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cube.py) | Volume of cube with side = 3m is | 27 m^3 | volume_cube | `maxSide=20` `unit='m'` | +| 36 | [Volume of Cuboid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cuboid.py) | Volume of cuboid with sides = 2m, 7m, 13m is | 182 m^3 | volume_cuboid | `maxSide=20` `unit='m'` | +| 37 | [Volume of cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cylinder.py) | Volume of cylinder with height = 49m and radius = 9m is | 12468 m^3 | volume_cylinder | `maxRadius=20` `maxHeight=50` `unit='m'` | +| 38 | [Surface Area of cone](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_cone.py) | Surface area of cone with height = 44m and radius = 7m is | 1133 m^2 | surface_area_cone | `maxRadius=20` `maxHeight=50` `unit='m'` | +| 39 | [Volume of cone](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_cone.py) | Volume of cone with height = 5m and radius = 12m is | 753 m^3 | volume_cone | `maxRadius=20` `maxHeight=50` `unit='m'` | +| 49 | [Fourth Angle of Quadrilateral](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/fourth_angle_of_quadrilateral.py) | Fourth angle of quadrilateral with angles 42 , 126, 95 = | 97 | fourth_angle_of_quadrilateral | `maxAngle=180` | +| 57 | [Trigonometric Values](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/basic_trigonometry.py) | What is tan(45)? | 1 | basic_trigonometry | `angles=[0, 30, 45, 60, 90]` `functions=['sin', 'cos', 'tan']` | +| 58 | [Sum of Angles of Polygon](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/sum_of_polygon_angles.py) | Sum of angles of polygon with 9 sides = | 1260 | sum_of_polygon_angles | `maxSides=12` | +| 60 | [Surface Area of Sphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_sphere.py) | Surface area of Sphere with radius = 5m is | 314.1592653589793 m^2 | surface_area_sphere | `maxSide=20` `unit='m'` | +| 61 | [Volume of Sphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_sphere.py) | Volume of sphere with radius 24 m = | 57905.83579096706 m^3 | volume_sphere | `maxRadius=100` | +| 70 | [Angle between 2 vectors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/angle_btw_vectors.py) | angle between the vectors [501.77, 761.2, 553.5, 411.41, 87.99, 695.99] and [329.3, 902.75, 451.75, 94.17, 457.01, 550.07] is: | 0.43 radians | angle_btw_vectors | `maxEltAmt=20` | +| 75 | [Area of a Sector](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/sector_area.py) | Given radius, 41 and angle, 214. Find the area of the sector. | Area of sector = 3139.27137 | sector_area | `maxRadius=49` `maxAngle=359` | +| 86 | [Degrees to Radians](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/degree_to_rad.py) | Angle 18 in radians is = | 0.31 | degree_to_rad | `max_deg=360` | +| 87 | [Radians to Degrees](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/radian_to_deg.py) | Angle 3 in degrees is = | 171.89 | radian_to_deg | `max_rad=3` | +| 95 | [Curved surface area of a cylinder](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/curved_surface_area_cylinder.py) | What is the curved surface area of a cylinder of radius, 19 and height, 22? | CSA of cylinder = 2626.37 | curved_surface_area_cylinder | `maxRadius=49` `maxHeight=99` | +| 96 | [Perimeter of Polygons](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/perimeter_of_polygons.py) | The perimeter of a 5 sided polygon with lengths of [85, 11, 110, 91, 52]cm is: | 349 | perimeter_of_polygons | `maxSides=12` `maxLength=120` | +| 104 | [Circumference](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/circumference.py) | Circumference of circle with radius 85 | 534.0707511102648 | circumference | `maxRadius=100` | +| 108 | [Arc length of Angle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/arc_length.py) | Given radius, 49 and angle, 152. Find the arc length of the angle. | Arc length of the angle = 129.99212 | arc_length | `maxRadius=49` `maxAngle=359` | +| 112 | [Area of Circle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_circle.py) | Area of circle with radius 38 | 4538.285714285715 | area_of_circle | `maxRadius=100` | +| 113 | [Volume of frustum](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_frustum.py) | Volume of frustum with height = 29m and r1 = 6m is and r2 = 6m is | 16885.0 m^3 | volume_frustum | `maxR1=20` `maxR2=20` `maxHeight=50` `unit='m'` | +| 114 | [Equation of line from two points](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/equation_of_line_from_two_points.py) | What is the equation of the line between points (2,19) and (-10,13) in slope-intercept form? | 2y = x + 36 | equation_of_line_from_two_points | `maxCoordinate=20` `minCoordinate=-20` | +| 115 | [Area of Circle given center and a point on circle](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/area_of_circle_given_center_and_point.py) | Area of circle with center (4,4) and passing through (4.0, 4.0) is | 0.0 | area_of_circle_given_center_and_point | `maxCoordinate = 10` `maxRadius=10` | +| 117 | [Volume of Hemisphere](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_hemisphere.py) | Volume of hemisphere with radius 27 m = | 41223.979 m^3 | volume_hemisphere | `maxRadius=100` | +| 122 | [Volume of pyramid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/volume_pyramid.py) | Volume of pyramid with base length = 5 m, base width = 16 m and height = 42 m is | 1120.0 m^3 | volume_pyramid | `maxLength=20` `maxWidth=20` `maxHeight=50` `unit='m'` | +| 123 | [Surface area of pyramid](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/geometry/surface_area_pyramid.py) | Surface area of pyramid with base length = 20m, base width = 50m, and height = 24m | 1870 m^2 | surface_area_pyramid | `unit='m'` | ## misc | Id | Skill | Example problem | Example Solution | Function Name | Kwargs | |------|-------|-----------------|------------------|---------------|--------| -| 9 | [LCM (Least Common Multiple)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/lcm.py) | LCM of 7 and 20 = | 140 | lcm | `maxVal=20` | -| 10 | [GCD (Greatest Common Denominator)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/gcd.py) | GCD of 16 and 2 = | 2 | gcd | `maxVal=20` | -| 27 | [Prime Factorisation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/prime_factors.py) | Find prime factors of 13 | [13] | prime_factors | `minVal=1` `maxVal=200` | -| 40 | [Common Factors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/common_factors.py) | Common Factors of 58 and 85 = | [1] | common_factors | `maxVal=100` | -| 51 | [HCF (Highest Common Factor)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/hcf.py) | HCF of 15 and 13 = | 1 | hcf | `maxVal=20` | -| 55 | [Comparing surds](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/surds_comparison.py) | Fill in the blanks 52^(1/6) _ 49^(1/9) | > | surds_comparison | `maxValue=100` `maxRoot=10` | -| 63 | [Profit or Loss Percent](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/profit_loss_percent.py) | Loss percent when CP = 899 and SP = 190 is: | 78.86540600667408 | profit_loss_percent | `maxCP=1000` `maxSP=1000` | -| 66 | [Geometric Progression](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_progression.py) | For the given GP [7, 35, 175, 875, 4375, 21875] ,Find the value of a,common ratio,6th term value, sum upto 9th term | The value of a is 7, common ratio is 5 , 6th term is 21875 , sum upto 9th term is 3417967.0 | geometric_progression | `number_values=6` `min_value=2` `max_value=12` `n_term=7` `sum_term=5` | -| 67 | [Geometric Mean of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_mean.py) | Geometric mean of 2 numbers 85 and 45 = | (85*45)^(1/2) = 61.84658438426491 | geometric_mean | `maxValue=100` `maxNum=4` | -| 68 | [Harmonic Mean of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/harmonic_mean.py) | Harmonic mean of 3 numbers 12 , 39 and 76 = | 3/((1/12) + (1/39) + (1/76)) = 24.56353591160221 | harmonic_mean | `maxValue=100` `maxNum=4` | -| 69 | [Euclidian norm or L2 norm of a vector](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/euclidian_norm.py) | Euclidian norm or L2 norm of the vector[994.7263200922915, 971.6812595950137, 51.85289296192064, 526.1757082313851, 51.16775130159046, 488.76324739869983, 896.5928964376717] is: | 1805.1540081935675 | euclidian_norm | `maxEltAmt=20` | -| 81 | [Celsius To Fahrenheit](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/celsius_to_fahrenheit.py) | Convert 91 degrees Celsius to degrees Fahrenheit = | 195.8 | celsius_to_fahrenheit | `maxTemp=100` | -| 82 | [AP Term Calculation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/arithmetic_progression_term.py) | Find the term number 7 of the AP series: 3, -28, -59 ... | -183 | arithmetic_progression_term | `maxd=100` `maxa=100` `maxn=100` | -| 83 | [AP Sum Calculation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/arithmetic_progression_sum.py) | Find the sum of first 70 terms of the AP series: 53, 70, 87 ... | 44765.0 | arithmetic_progression_sum | `maxd=100` `maxa=100` `maxn=100` | -| 85 | [Converts decimal to Roman Numerals](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/decimal_to_roman_numerals.py) | The number 0 in Roman Numerals is: | MCCLXXVII | decimal_to_roman_numerals | `maxDecimal=4000` | -| 92 | [Complex To Polar Form](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/complex_to_polar.py) | 18.44(-12.0theta + i-14.0theta) | -2.28 | complex_to_polar | `minRealImaginaryNum=-20, maxRealImaginaryNum=20` | -| 93 | [Union,Intersection,Difference of Two Sets](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/set_operation.py) | Given the two sets a={2, 10, 5} ,b={1, 5, 6, 8, 9}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {1, 2, 5, 6, 8, 9, 10},Intersection is {5}, a-b is {2, 10},b-a is {8, 1, 6, 9}, Symmetric difference is {1, 2, 6, 8, 9, 10} | set_operation | `minval=3` `maxval=7` `n_a=4` `n_b=5` | -| 94 | [Base Conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/base_conversion.py) | Convert 1A1A9 from base 12 to base 2. | 1001010110010001 | base_conversion | `maxNum=60000` `maxBase=16` | -| 98 | [Quotient of Powers with Same Base](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/quotient_of_power_same_base.py) | The Quotient of 10^6 and 10^9 = 10^(6-9) = 10^-3 | 0.001 | quotient_of_power_same_base | `maxBase=50` `maxPower=10` | -| 99 | [Quotient of Powers with Same Power](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/quotient_of_power_same_power.py) | The Quotient of 16^5 and 18^5 = (16/18)^5 = 0.8888888888888888^5 | 0.5549289573066435 | quotient_of_power_same_power | `maxBase=50` `maxPower=10` | -| 101 | [Leap Year or Not](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/is_leap_year.py) | Year 1910 | is not a leap year | is_leap_year | `minNumber=1900` `maxNumber=2099` | -| 102 | [Minute to Hour conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/minutes_to_hours.py) | Convert 614 minutes to Hours & Minutes | 10 hours and 14 minutes | minutes_to_hours | `maxMinutes=999` | -| 106 | [signum function](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/signum_function.py) | signum of -726 is = | -1 | signum_function | `min=-999` `max=999` | -| 109 | [Binomial distribution](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/binomial_distribution.py) | A manufacturer of metal pistons finds that, on average, 32.46% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 19 pistons will contain no more than 6 rejected pistons? | 57.56 | binomial_distribution | `` | -| 116 | [Factors of a number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/Factors.py) | Factors of 900 = | [1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900] | Factors | `maxVal=1000` | -| 121 | [Product of scientific notaions](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/product_of_scientific_notations.py) | Product of scientific notations 7.84x10^60 and 5.05x10^5 = | 3.96x10^66 | product_of_scientific_notations | `minExpVal=-100` `maxExpVal=100` | +| 9 | [LCM (Least Common Multiple)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/lcm.py) | LCM of 7 and 19 = | 133 | lcm | `maxVal=20` | +| 10 | [GCD (Greatest Common Denominator)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/gcd.py) | GCD of 16 and 11 = | 1 | gcd | `maxVal=20` | +| 27 | [Prime Factorisation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/prime_factors.py) | Find prime factors of 23 | [23] | prime_factors | `minVal=1` `maxVal=200` | +| 40 | [Common Factors](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/common_factors.py) | Common Factors of 34 and 20 = | [1, 2] | common_factors | `maxVal=100` | +| 51 | [HCF (Highest Common Factor)](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/hcf.py) | HCF of 10 and 20 = | 10 | hcf | `maxVal=20` | +| 55 | [Comparing surds](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/surds_comparison.py) | Fill in the blanks 67^(1/4) _ 15^(1/5) | > | surds_comparison | `maxValue=100` `maxRoot=10` | +| 63 | [Profit or Loss Percent](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/profit_loss_percent.py) | Profit percent when CP = 116 and SP = 446 is: | 284.48275862068965 | profit_loss_percent | `maxCP=1000` `maxSP=1000` | +| 66 | [Geometric Progression](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_progression.py) | For the given GP [7, 77, 847, 9317, 102487, 1127357] ,Find the value of a,common ratio,9th term value, sum upto 6th term | The value of a is 7, common ratio is 11 , 9th term is 1500512167 , sum upto 6th term is 1240092.0 | geometric_progression | `number_values=6` `min_value=2` `max_value=12` `n_term=7` `sum_term=5` | +| 67 | [Geometric Mean of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/geometric_mean.py) | Geometric mean of 3 numbers 24 , 17 and 8 = | (24*17*8)^(1/3) = 14.833719077064755 | geometric_mean | `maxValue=100` `maxNum=4` | +| 68 | [Harmonic Mean of N Numbers](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/harmonic_mean.py) | Harmonic mean of 2 numbers 36 and 10 = | 2/((1/36) + (1/10)) = 15.65217391304348 | harmonic_mean | `maxValue=100` `maxNum=4` | +| 69 | [Euclidian norm or L2 norm of a vector](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/euclidian_norm.py) | Euclidian norm or L2 norm of the vector[662.188456830693, 258.9343100016411, 674.6373606909881, 145.42173783600865, 915.3419640001316, 532.3072720135815, 564.2351770581631, 108.13767884525704, 687.9402187703554, 874.3820025839659, 805.5736380024711, 941.7491419729342, 160.1472208023249, 174.14254996459778] is: | 2294.0573965748918 | euclidian_norm | `maxEltAmt=20` | +| 81 | [Celsius To Fahrenheit](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/celsius_to_fahrenheit.py) | Convert -25 degrees Celsius to degrees Fahrenheit = | -13.0 | celsius_to_fahrenheit | `maxTemp=100` | +| 82 | [AP Term Calculation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/arithmetic_progression_term.py) | Find the term number 79 of the AP series: 27, -42, -111 ... | -5355 | arithmetic_progression_term | `maxd=100` `maxa=100` `maxn=100` | +| 83 | [AP Sum Calculation](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/arithmetic_progression_sum.py) | Find the sum of first 72 terms of the AP series: -93, -114, -135 ... | -60372.0 | arithmetic_progression_sum | `maxd=100` `maxa=100` `maxn=100` | +| 85 | [Converts decimal to Roman Numerals](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/decimal_to_roman_numerals.py) | The number 0 in Roman Numerals is: | MDXXXVI | decimal_to_roman_numerals | `maxDecimal=4000` | +| 92 | [Complex To Polar Form](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/complex_to_polar.py) | 8.54(-8.0theta + i-3.0theta) | -2.78 | complex_to_polar | `minRealImaginaryNum=-20, maxRealImaginaryNum=20` | +| 93 | [Union,Intersection,Difference of Two Sets](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/set_operation.py) | Given the two sets a={8, 9, 10, 7} ,b={3, 4, 5, 9, 10}.Find the Union,intersection,a-b,b-a and symmetric difference | Union is {3, 4, 5, 7, 8, 9, 10},Intersection is {9, 10}, a-b is {8, 7},b-a is {3, 4, 5}, Symmetric difference is {3, 4, 5, 7, 8} | set_operation | `minval=3` `maxval=7` `n_a=4` `n_b=5` | +| 94 | [Base Conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/base_conversion.py) | Convert 46132 from base 9 to base 16. | 7808 | base_conversion | `maxNum=60000` `maxBase=16` | +| 98 | [Quotient of Powers with Same Base](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/quotient_of_power_same_base.py) | The Quotient of 19^5 and 19^8 = 19^(5-8) = 19^-3 | 0.0001457938474996355 | quotient_of_power_same_base | `maxBase=50` `maxPower=10` | +| 99 | [Quotient of Powers with Same Power](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/quotient_of_power_same_power.py) | The Quotient of 48^8 and 42^8 = (48/42)^8 = 1.1428571428571428^8 | 2.910285368046528 | quotient_of_power_same_power | `maxBase=50` `maxPower=10` | +| 101 | [Leap Year or Not](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/is_leap_year.py) | Year 1941 | is not a leap year | is_leap_year | `minNumber=1900` `maxNumber=2099` | +| 102 | [Minute to Hour conversion](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/minutes_to_hours.py) | Convert 735 minutes to Hours & Minutes | 12 hours and 15 minutes | minutes_to_hours | `maxMinutes=999` | +| 106 | [signum function](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/signum_function.py) | signum of 46 is = | 1 | signum_function | `min=-999` `max=999` | +| 109 | [Binomial distribution](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/binomial_distribution.py) | A manufacturer of metal pistons finds that, on average, 31.39% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of 11 pistons will contain no more than 2 rejected pistons? | 27.82 | binomial_distribution | `` | +| 116 | [Factors of a number](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/Factors.py) | Factors of 279 = | [1, 3, 9, 31, 93, 279] | Factors | `maxVal=1000` | +| 121 | [Product of scientific notaions](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/misc/product_of_scientific_notations.py) | Product of scientific notations 5.18x10^48 and 5.01x10^16 = | 2.6x10^65 | product_of_scientific_notations | `minExpVal=-100` `maxExpVal=100` | ## statistics | Id | Skill | Example problem | Example Solution | Function Name | Kwargs | |------|-------|-----------------|------------------|---------------|--------| -| 30 | [Combinations of Objects](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/combinations.py) | Number of combinations from 15 objects picked 3 at a time | 455 | combinations | `maxlength=20` | -| 42 | [Permutations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/permutation.py) | Number of Permutations from 18 objects picked 6 at a time = | 13366080 | permutation | `maxlength=20` | +| 30 | [Combinations of Objects](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/combinations.py) | Number of combinations from 20 objects picked 7 at a time | 77520 | combinations | `maxlength=20` | +| 42 | [Permutations](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/permutation.py) | Number of Permutations from 15 objects picked 6 at a time = | 3603600 | permutation | `maxlength=20` | | 52 | [Probability of a certain sum appearing on faces of dice](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/dice_sum_probability.py) | If 2 dice are rolled at the same time, the probability of getting a sum of 2 = | 1/36 | dice_sum_probability | `maxDice=3` | -| 54 | [Confidence interval For sample S](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/confidence_interval.py) | The confidence interval for sample [257, 235, 281, 246, 292, 284, 214, 244, 229, 220, 279, 275, 239, 282, 211, 256, 269, 204, 212, 271, 249, 264, 267, 200, 251, 258, 298, 252, 210] with 90% confidence is | (258.442496139615, 241.4885383431436) | confidence_interval | `` | -| 59 | [Mean,Standard Deviation,Variance](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/data_summary.py) | Find the mean,standard deviation and variance for the data[26, 28, 15, 9, 21, 23, 5, 41, 7, 50, 33, 42, 24, 39, 11] | The Mean is 24.933333333333334 , Standard Deviation is 182.46222222222224, Variance is 13.50785779545455 | data_summary | `number_values=15` `minval=5` `maxval=50` | -| 76 | [Mean and Median](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/mean_median.py) | Given the series of numbers [1, 7, 9, 17, 23, 30, 64, 74, 79, 85]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 38.9 and Arithmetic median of this series is 26.5 | mean_median | `maxlen=10` | -| 107 | [Conditional Probability](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/conditional_probability.py) | Someone tested positive for a nasty disease which only 1.13% of population have. Test sensitivity (true positive) is equal to SN= 92.22% whereas test specificity (true negative) SP= 91.47%. What is the probability that this guy really has that disease? | 11.0% | conditional_probability | `` | +| 54 | [Confidence interval For sample S](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/confidence_interval.py) | The confidence interval for sample [272, 236, 244, 247, 251, 209, 214, 207, 238, 204, 254, 258, 215, 218, 285, 274, 220, 235, 212, 271, 241, 222, 201, 237, 233, 246, 229, 287, 253, 208, 242, 299, 245] with 99% confidence is | (250.97182391664583, 228.24029729547536) | confidence_interval | `` | +| 59 | [Mean,Standard Deviation,Variance](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/data_summary.py) | Find the mean,standard deviation and variance for the data[9, 26, 45, 37, 40, 13, 12, 18, 27, 5, 14, 25, 32, 28, 21] | The Mean is 23.466666666666665 , Standard Deviation is 130.11555555555555, Variance is 11.406820571726179 | data_summary | `number_values=15` `minval=5` `maxval=50` | +| 76 | [Mean and Median](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/mean_median.py) | Given the series of numbers [1, 4, 14, 21, 22, 30, 43, 44, 51, 63]. find the arithmatic mean and mdian of the series | Arithmetic mean of the series is 29.3 and Arithmetic median of this series is 26.0 | mean_median | `maxlen=10` | +| 107 | [Conditional Probability](https://github.com/lukew3/mathgenerator/blob/main/mathgenerator/funcs/statistics/conditional_probability.py) | Someone tested positive for a nasty disease which only 0.07% of population have. Test sensitivity (true positive) is equal to SN= 98.04% whereas test specificity (true negative) SP= 94.26%. What is the probability that this guy really has that disease? | 1.18% | conditional_probability | `` | diff --git a/mathgenerator/funcs/basic_math/__init__.py b/mathgenerator/funcs/basic_math/__init__.py index 59c0e7a..60e1c1d 100644 --- a/mathgenerator/funcs/basic_math/__init__.py +++ b/mathgenerator/funcs/basic_math/__init__.py @@ -1,13 +1,13 @@ from .absolute_difference import absolute_difference from .addition import addition from .compare_fractions import compare_fractions -from .complex_division import complex_division from .cube_root import cube_root from .divide_fractions import divide_fractions from .division import division from .exponentiation import exponentiation from .factorial import factorial from .fraction_multiplication import fraction_multiplication +from .fraction_to_decimal import fraction_to_decimal from .greatest_common_divisor import greatest_common_divisor from .is_composite import is_composite from .is_prime import is_prime diff --git a/mathgenerator/funcs/basic_math/complex_division.py b/mathgenerator/funcs/basic_math/fraction_to_decimal.py similarity index 73% rename from mathgenerator/funcs/basic_math/complex_division.py rename to mathgenerator/funcs/basic_math/fraction_to_decimal.py index 141ae9e..8b8555b 100644 --- a/mathgenerator/funcs/basic_math/complex_division.py +++ b/mathgenerator/funcs/basic_math/fraction_to_decimal.py @@ -5,8 +5,7 @@ import random def gen_func(maxRes=99, maxDivid=99, format='string'): a = random.randint(0, maxDivid) b = random.randint(1, min(maxRes, maxDivid)) - c = a / b - c = round(c, 2) + c = round(a / b, 2) if format == "string": return (str(a) + "/" + str(b) + "=", str(c)) @@ -17,5 +16,5 @@ def gen_func(maxRes=99, maxDivid=99, format='string'): return a, b, c -complex_division = Generator("Complex Division", 13, gen_func, - ["maxRes=99", "maxDivid=99"]) +fraction_to_decimal = Generator("Fraction to Decimal", 13, gen_func, + ["maxRes=99", "maxDivid=99"])