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added harmonicMeanFunc

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Swayam Gupta
2020-10-18 16:11:38 +05:30
parent 63de4180dc
commit 629e23c941
2 changed files with 88 additions and 97 deletions
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README.md
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@@ -30,93 +30,84 @@ problem, solution = mathgen.genById(0)
| Id | Skill | Example problem | Example Solution | Function Name | | Id | Skill | Example problem | Example Solution | Function Name |
|------|-----------------------------------|--------------------|-----------------------|--------------------------| |------|-----------------------------------|--------------------|-----------------------|--------------------------|
| 0 | Addition | 37+40= | 77 | addition |
| 1 | Subtraction | 69-59= | 10 | subtraction | | 0 | Addition | 5+49= | 54 | addition |
| 2 | Multiplication | 18*0= | 0 | multiplication | | 1 | Subtraction | 63-53= | 10 | subtraction |
| 3 | Division | 66/25= | 2.64 | division | | 2 | Multiplication | 21*2= | 42 | multiplication |
| 4 | Binary Complement 1s | 00 | 11 | binaryComplement1s | | 3 | Division | 87/60= | 1.45 | division |
| 5 | Modulo Division | 37%68= | 37 | moduloDivision | | 4 | Binary Complement 1s | 11011111= | 00100000 | binaryComplement1s |
| 6 | Square Root | sqrt(4)= | 2 | squareRoot | | 5 | Modulo Division | 10%10= | 0 | moduloDivision |
| 7 | Power Rule Differentiation | 6x^3 + 7x^5 + 6x^4 | 18x^2 + 35x^4 + 24x^3 | powerRuleDifferentiation | | 6 | Square Root | sqrt(16)= | 4 | squareRoot |
| 8 | Square | 19^2= | 361 | square | | 7 | Power Rule Differentiation | 9x^6 + 8x^6 + 5x^9 + 1x^6 + 10x^1 | 54x^5 + 48x^5 + 45x^8 + 6x^5 + 10x^0 | powerRuleDifferentiation |
| 9 | LCM (Least Common Multiple) | LCM of 8 and 4 = | 8 | lcm | | 8 | Square | 6^2= | 36 | square |
| 10 | GCD (Greatest Common Denominator) | GCD of 20 and 1 = | 1 | gcd | | 9 | LCM (Least Common Multiple) | LCM of 9 and 6 = | 18 | lcm |
| 11 | Basic Algebra | 9x + 7 = 10 | 1/3 | basicAlgebra | | 10 | GCD (Greatest Common Denominator) | GCD of 3 and 15 = | 3 | gcd |
| 12 | Logarithm | log3(9) | 2 | log | | 11 | Basic Algebra | 2x + 2 = 9 | 7/2 | basicAlgebra |
| 13 | Easy Division | 48/24 = | 2 | intDivision | | 12 | Logarithm | log2(4) | 2 | log |
| 14 | Decimal to Binary | Binary of 69= | 1000101 | decimalToBinary | | 13 | Easy Division | 180/15 = | 12 | intDivision |
| 15 | Binary to Decimal | 0010101100 | 172 | binaryToDecimal | | 14 | Decimal to Binary | Binary of 53= | 110101 | decimalToBinary |
| 16 | Fraction Division | (8/2)/(7/5) | 20/7 | fractionDivision | | 15 | Binary to Decimal | 1000110111 | 567 | binaryToDecimal |
| 17 | Integer Multiplication with 2x2 Matrix | 10 * [[0, 3], [10, 5]] = | [[0,30],[100,50]] | intMatrix22Multiplication | | 16 | Fraction Division | (10/4)/(1/10) | 25 | fractionDivision |
| 18 | Area of Triangle | Area of triangle with side lengths: 16 1 19 = | (1.5148044320877339e-15+24.73863375370596j) | areaOfTriangle | | 17 | Integer Multiplication with 2x2 Matrix | 1 * [[0, 4], [6, 2]] = | [[0,4],[6,2]] | intMatrix22Multiplication |
| 19 | Triangle exists check | Does triangle with sides 24, 25 and 24 exist? | Yes | doesTriangleExist | | 18 | Area of Triangle | Area of triangle with side lengths: 8 3 19 = | (4.3470649019239876e-15+70.9929573971954j) | areaOfTriangle |
| 20 | Midpoint of the two point | (-15,2),(12,-5)= | (-1.5,-1.5) | midPointOfTwoPoint | | 19 | Triangle exists check | Does triangle with sides 8, 12 and 39 exist? | No | doesTriangleExist |
| 21 | Factoring Quadratic | x^2-2x-3 | (x+1)(x-3) | factoring | | 20 | Midpoint of the two point | (-17,-16),(-6,9)= | (-11.5,-3.5) | midPointOfTwoPoint |
| 22 | Third Angle of Triangle | Third angle of triangle with angles 65 and 78 = | 37 | thirdAngleOfTriangle | | 21 | Factoring Quadratic | x^2-15x+56 | (x-8)(x-7) | factoring |
| 23 | Solve a System of Equations in R^2 | 2x - 8y = -58, 3x - 4y = -31 | x = -1, y = 7 | systemOfEquations | | 22 | Third Angle of Triangle | Third angle of triangle with angles 17 and 81 = | 82 | thirdAngleOfTriangle |
| 24 | Distance between 2 points | Find the distance between (21, 15) and (7, -4) | sqrt(557) | distance2Point | | 23 | Solve a System of Equations in R^2 | -7x - 5y = 22, 5x - 4y = 7 | x = -1, y = -3 | systemOfEquations |
| 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 20 and 20 = | 28.28 | pythagoreanTheorem | | 24 | Distance between 2 points | Find the distance between (-4, -13) and (15, 10) | sqrt(890) | distance2Point |
| 26 | Linear Equations | -19x + -4y = 231 | 25 | Pythagorean Theorem | The hypotenuse of a right triangle given the other two lengths 11 and 2 = | 11.18 | pythagoreanTheorem |
13x + 18y = -387 | x = -9, y = -15 | linearEquations | | 26 | Linear Equations | -9x + 15y = 171
| 27 | Prime Factorisation | Find prime factors of 185 | [5, 37] | primeFactors | -9x + 9y = 135 | x = -9, y = 6 | linearEquations |
| 28 | Fraction Multiplication | (4/10)*(4/9) | 8/45 | fractionMultiplication | | 27 | Prime Factorisation | Find prime factors of 61 | [61] | primeFactors |
| 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 17 sides | 158.82 | angleRegularPolygon | | 28 | Fraction Multiplication | (8/7)*(9/10) | 36/35 | fractionMultiplication |
| 30 | Combinations of Objects | Number of combinations from 10 objects picked 1 at a time | 10 | combinations | | 29 | Angle of a Regular Polygon | Find the angle of a regular polygon with 20 sides | 162.0 | angleRegularPolygon |
| 31 | Factorial | 3! = | 6 | factorial | | 30 | Combinations of Objects | Number of combinations from 13 objects picked 8 at a time | 1287 | combinations |
| 32 | Surface Area of Cube | Surface area of cube with side = 16m is | 1536 m^2 | surfaceAreaCubeGen | | 31 | Factorial | 6! = | 720 | factorial |
| 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 6m, 7m, 17m is | 526 m^2 | surfaceAreaCuboidGen | | 32 | Surface Area of Cube | Surface area of cube with side = 17m is | 1734 m^2 | surfaceAreaCubeGen |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 19m and radius = 4m is | 578 m^2 | surfaceAreaCylinderGen | | 33 | Surface Area of Cuboid | Surface area of cuboid with sides = 3m, 18m, 1m is | 150 m^2 | surfaceAreaCuboidGen |
| 34 | Surface Area of Cylinder | Surface area of cylinder with height = 20m and radius = 15m is | 3298 m^2 | surfaceAreaCylinderGen |
| 35 | Volum of Cube | Volume of cube with side = 7m is | 343 m^3 | volumeCubeGen | | 35 | Volum of Cube | Volume of cube with side = 7m is | 343 m^3 | volumeCubeGen |
| 36 | Volume of Cuboid | Volume of cuboid with sides = 1m, 17m, 18m is | 306 m^3 | volumeCuboidGen | | 36 | Volume of Cuboid | Volume of cuboid with sides = 16m, 5m, 11m is | 880 m^3 | volumeCuboidGen |
| 37 | Volume of cylinder | Volume of cylinder with height = 16m and radius = 10m is | 5026 m^3 | volumeCylinderGen | | 37 | Volume of cylinder | Volume of cylinder with height = 28m and radius = 12m is | 12666 m^3 | volumeCylinderGen |
| 38 | Surface Area of cone | Surface area of cone with height = 36m and radius = 3m is | 368 m^2 | surfaceAreaConeGen | | 38 | Surface Area of cone | Surface area of cone with height = 29m and radius = 1m is | 94 m^2 | surfaceAreaConeGen |
| 39 | Volume of cone | Volume of cone with height = 21m and radius = 6m is | 791 m^3 | volumeConeGen | | 39 | Volume of cone | Volume of cone with height = 2m and radius = 15m is | 471 m^3 | volumeConeGen |
| 40 | Common Factors | Common Factors of 31 and 79 = | [1] | commonFactors | | 40 | Common Factors | Common Factors of 52 and 53 = | [1] | commonFactors |
| 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = 5x and y = -8/3x - 7 | (-21/23, -105/23) | intersectionOfTwoLines | | 41 | Intersection of Two Lines | Find the point of intersection of the two lines: y = -8/4x + 3 and y = -6x - 4 | (-7/4, 13/2) | intersectionOfTwoLines |
| 42 | Permutations | Number of Permutations from 13 objects picked 3 at a time = | 1716 | permutations | | 42 | Permutations | Number of Permutations from 13 objects picked 1 at a time = | 13 | permutations |
| 43 | Cross Product of 2 Vectors | [10, 11, -18] X [-2, 13, -2] = | [212, 56, 152] | vectorCross | | 43 | Cross Product of 2 Vectors | [-6, -20, -15] X [-17, 14, 18] = | [-150, 363, -424] | vectorCross |
| 44 | Compare Fractions | Which symbol represents the comparison between 4/2 and 4/1? | < | compareFractions | | 44 | Compare Fractions | Which symbol represents the comparison between 7/4 and 5/6? | > | compareFractions |
| 45 | Simple Interest | Simple interest for a principle amount of 5369 dollars, 1% rate of interest and for a time period of 9 years is = | 483.21 | simpleInterest | | 45 | Simple Interest | Simple interest for a principle amount of 4813 dollars, 2% rate of interest and for a time period of 4 years is = | 385.04 | simpleInterest |
| 46 | Multiplication of two matrices | Multiply | 46 | Multiplication of two matrices | Multiply
-16 87 100 -5 -69 97 -75 19 -11 -69 54 67
90 -83 -16 81 -30 64 -3 -96 54 -24 52 35
-74 -66 48 99 35 6 -14 70 9 -76 82 65
-24 67 -4 -95 4 51 31 -17 37 -40 87 -85
61 46 -72 66 -31 15 61 -31 42 45 74 75
84 63 78 -51 -11 -38 -68 -50
82 83 16 -100 17 2 8 -83
28 71 -68 -66 37 -84 79 32
and and
50 -78 66 -8 -33 -61 -75 -18 -50 62 -96 -68 97 -88 71 69
-98 10 -66 -53 -24 -36 62 -39 -35 -38 48 -31 8 53 18 100
86 -52 -49 47 62 0 -12 96 55 57 -41 54 81 -74 -80 47
61 41 -77 -89 46 -44 50 4 -81 -63 -10 86 -6 77 31 -12 | 797 -5140 11565 2353 -1526 -4266 -5925
-12 -88 -88 9 83 62 60 -22 15 5019 -8818 2890 9048 -7177 327 3350
26 -3 44 -60 83 100 -35 97 26 4025 -8524 11762 6517 -5883 -5274 -3905
-17 -93 -5 79 55 78 32 0 -45 14128 -8189 -3888 10826 -18359 -7688 3662
-17 -54 -92 -48 -88 46 82 -22 12 | 3271 8443 -2346 -12616 937 -1490 -3233 16984 8750 387 -5656 6195 9978 -1012 197 9976 | matrixMultiplication |
19906 4214 20268 -4021 12861 -6176 -19662 9385 -8839 | 47 | Cube Root | cuberoot of 566 upto 2 decimal places is: | 8.27 | CubeRoot |
11719 1099 -19689 -6976 8029 7432 13014 7182 2782 | 48 | Power Rule Integration | 6x^3 + 6x^4 + 5x^2 + 10x^9 | (6/3)x^4 + (6/4)x^5 + (5/2)x^3 + (10/9)x^10 + c | powerRuleIntegration |
-12865 -3615 4806 5149 2332 10216 -695 2288 6117 | 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 6 , 199, 42 = | 113 | fourthAngleOfQuadrilateral |
-3372 836 5371 -7056 210 -5371 -534 -6721 -17158 | 50 | Quadratic Equation | Zeros of the Quadratic Equation 63x^2+118x+19=0 | [-0.18, -1.7] | quadraticEquationSolve |
2773 -1963 5727 3403 -5201 -17234 -11486 971 3323 | 51 | HCF (Highest Common Factor) | HCF of 20 and 14 = | 2 | hcf |
-7635 -8262 13038 9246 1015 -5530 -11796 -1931 926 | 52 | Probability of a certain sum appearing on faces of dice | If 3 dice are rolled at the same time, the probability of getting a sum of 5 = | 6/216 | diceSumProbability |
-19947 -12723 -4715 8769 -12252 168 10130 -19731 -7079 | matrixMultiplication | | 53 | Exponentiation | 1^3 = | 1 | exponentiation |
| 47 | Cube Root | cuberoot of 136 upto 2 decimal places is: | 5.14 | CubeRoot | | 54 | Confidence interval For sample S | The confidence interval for sample [289, 284, 269, 211, 272, 298, 290, 220, 206, 224, 230, 222, 227, 209, 262, 255, 282, 253, 274, 265, 258, 248, 277, 279, 223, 221, 219, 286, 259, 297, 234, 201, 232, 203, 294, 252, 207, 278, 202] with 80% confidence is | (255.4031906501125, 242.64809140116955) | confidenceInterval |
| 48 | Power Rule Integration | 9x^4 + 8x^6 + 2x^5 + 3x^10 + 2x^9 | (9/4)x^5 + (8/6)x^7 + (2/5)x^6 + (3/10)x^11 + (2/9)x^10 + c | powerRuleIntegration | | 55 | Comparing surds | Fill in the blanks 50^(1/9) _ 61^(1/7) | < | surdsComparison |
| 49 | Fourth Angle of Quadrilateral | Fourth angle of quadrilateral with angles 69 , 87, 120 = | 84 | fourthAngleOfQuadrilateral | | 56 | Fibonacci Series | The Fibonacci Series of the first 1 numbers is ? | [0] | fibonacciSeries |
| 50 | Quadratic Equation | Zeros of the Quadratic Equation 71x^2+188x+17=0 | [-0.09, -2.55] | quadraticEquationSolve | | 57 | Trigonometric Values | What is sin(30)? | 1/2 | basicTrigonometry |
| 51 | HCF (Highest Common Factor) | HCF of 3 and 16 = | 1 | hcf | | 58 | Sum of Angles of Polygon | Sum of angles of polygon with 8 sides = | 1080 | sumOfAnglesOfPolygon |
| 52 | Probability of a certain sum appearing on faces of dice | If 3 dice are rolled at the same time, the probability of getting a sum of 8 = | 21/216 | diceSumProbability | | 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[11, 17, 17, 20, 25, 38, 45, 19, 38, 31, 23, 16, 42, 28, 16] | The Mean is 25.733333333333334 , Standard Deviation is 107.66222222222224, Variance is 10.376040777783318 | dataSummary |
| 53 | Exponentiation | 9^3 = | 729 | exponentiation | | 59 | Surface Area of Sphere | Surface area of Sphere with radius = 13m is | 2123.7166338267 m^2 | surfaceAreaSphereGen |
| 54 | Confidence interval For sample S | The confidence interval for sample [203, 266, 261, 263, 262, 251, 267, 248, 208, 228, 215, 221, 282, 242, 272, 281, 289, 290, 285, 217, 213, 200, 292, 256, 232, 273, 295, 271, 211, 250, 231, 246, 277, 259, 283, 233] with 90% confidence is | (259.72847423786504, 244.32708131769053) | confidenceInterval | | 60 | Volume of Sphere | Volume of sphere with radius 100 m = | 4188790.2047863905 m^3 | volumeSphere |
| 55 | Comparing surds | Fill in the blanks 50^(1/7) _ 86^(1/5) | < | surdsComparison | | 61 | Harmonic Mean of N Numbers | Harmonic mean of 2 numbers 6 and 66 = | 2/((1/6) + (1/66)) = 11.0 | harmonicMean |
| 56 | Fibonacci Series | The Fibonacci Series of the first 3 numbers is ? | [0, 1, 1] | fibonacciSeries |
| 57 | Trigonometric Values | What is tan(45)? | 1 | basicTrigonometry |
| 58 | Sum of Angles of Polygon | Sum of angles of polygon with 5 sides = | 540 | sumOfAnglesOfPolygon |
| 59 | Mean,Standard Deviation,Variance | Find the mean,standard deviation and variance for the data[10, 25, 12, 26, 15, 13, 41, 25, 50, 13, 20, 22, 42, 36, 22] | The Mean is 24.8 , Standard Deviation is 141.09333333333333, Variance is 11.87827147918978 | dataSummary |
| 59 | Surface Area of Sphere | Surface area of Sphere with radius = 5m is | 314.1592653589793 m^2 | surfaceAreaSphereGen |
| 60 | Volume of Sphere | Volume of sphere with radius 70 m = | 1436755.0402417318 m^3 | volumeSphere |
| 61 | Geometric Mean of N Numbers | Geometric mean of 2 numbers 9 and 5 = | (9*5)^(1/2) = 6.708203932499369 | geometricMean |

24
mathgenerator/mathgen.py
View File

@@ -920,7 +920,7 @@ def volumeSphereFunc(maxRadius = 100):
ans=(4*math.pi/3)*r*r*r ans=(4*math.pi/3)*r*r*r
solution = f"{ans} m^3" solution = f"{ans} m^3"
return problem,solution return problem,solution
def geometricMeanFunc(maxValue=100, maxNum=4): def harmonicMeanFunc(maxValue=100, maxNum=4):
a=random.randint(1,maxValue) a=random.randint(1,maxValue)
b=random.randint(1,maxValue) b=random.randint(1,maxValue)
@@ -928,22 +928,22 @@ def geometricMeanFunc(maxValue=100, maxNum=4):
d=random.randint(1,maxValue) d=random.randint(1,maxValue)
num=random.randint(2,4) num=random.randint(2,4)
if num==2: if num==2:
product=a*b sum=(1/a)+(1/b)
elif num==3: elif num==3:
product=a*b*c sum=(1/a)+(1/b)+(1/c)
elif num==4: elif num==4:
product=a*b*c*d sum=(1/a)+(1/b)+(1/c)+(1/d)
ans=product**(1/num) ans=num/sum
if num==2: if num==2:
problem=f"Geometric mean of {num} numbers {a} and {b} = " problem=f"Harmonic mean of {num} numbers {a} and {b} = "
solution = f"({a}*{b})^(1/{num}) = {ans}" solution = f" {num}/((1/{a}) + (1/{b})) = {ans}"
elif num==3: elif num==3:
problem=f"Geometric mean of {num} numbers {a} , {b} and {c} = " problem=f"Harmonic mean of {num} numbers {a} , {b} and {c} = "
solution = f"({a}*{b}*{c})^(1/{num}) = {ans}" solution = f" {num}/((1/{a}) + (1/{b}) + (1/{c})) = {ans}"
elif num==4: elif num==4:
problem=f"Geometric mean of {num} numbers {a} , {b} , {c} , {d} = " problem=f"Harmonic mean of {num} numbers {a} , {b} , {c} , {d} = "
solution = f"({a}*{b}*{c}*{d})^(1/{num}) = {ans}" solution = f" {num}/((1/{a}) + (1/{b}) + (1/{c}) + (1/{d})) = {ans}"
return problem,solution return problem,solution
# || Class Instances # || Class Instances
@@ -1012,4 +1012,4 @@ sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58, "Sum of angles
dataSummary = Generator("Mean,Standard Deviation,Variance", 59, "a,b,c", "Mean:a+b+c/3,Std,Var", dataSummaryFunc) dataSummary = Generator("Mean,Standard Deviation,Variance", 59, "a,b,c", "Mean:a+b+c/3,Std,Var", dataSummaryFunc)
surfaceAreaSphereGen = Generator("Surface Area of Sphere", 59, "Surface area of sphere with radius = a units is","d units^2", surfaceAreaSphere) surfaceAreaSphereGen = Generator("Surface Area of Sphere", 59, "Surface area of sphere with radius = a units is","d units^2", surfaceAreaSphere)
volumeSphere=Generator("Volume of Sphere",60,"Volume of sphere with radius r m = ","(4*pi/3)*r*r*r",volumeSphereFunc) volumeSphere=Generator("Volume of Sphere",60,"Volume of sphere with radius r m = ","(4*pi/3)*r*r*r",volumeSphereFunc)
geometricMean=Generator("Geometric Mean of N Numbers",61,"Geometric mean of n numbers A1 , A2 , ... , An = ","(A1*A2*...An)^(1/n) = ans",geometricMeanFunc) harmonicMean=Generator("Harmonic Mean of N Numbers",61,"Harmonic mean of n numbers A1 , A2 , ... , An = "," n/((1/A1) + (1/A2) + ... + (1/An)) = ans",harmonicMeanFunc)