mirror of
https://github.com/DeaDvey/mathgenerator.git
synced 2025-11-28 06:25:23 +01:00
279 lines
14 KiB
Python
279 lines
14 KiB
Python
import random
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import math
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import fractions
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from .funcs import *
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from .__init__ import getGenList
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genList = getGenList()
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# || Generator class
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class Generator:
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def __init__(self, title, id, generalProb, generalSol, func):
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self.title = title
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self.id = id
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self.generalProb = generalProb
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self.generalSol = generalSol
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self.func = func
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genList.append([id, title, self])
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def __str__(self):
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return str(
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self.id
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) + " " + self.title + " " + self.generalProb + " " + self.generalSol
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def __call__(self, **kwargs):
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return self.func(**kwargs)
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# || Non-generator Functions
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def genById(id):
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generator = genList[id][2]
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return (generator())
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#
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# def getGenList():
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# return(genList)
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# Format is:
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# <title> = Generator("<Title>", <id>, <generalized problem>, <generalized solution>, <function name>)
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# Funcs_start - DO NOT REMOVE!
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# addition = Generator("Addition", 0, "a+b=", "c", additionFunc)
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subtraction = Generator("Subtraction", 1, "a-b=", "c", subtractionFunc)
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multiplication = Generator("Multiplication", 2, "a*b=", "c",
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multiplicationFunc)
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division = Generator("Division", 3, "a/b=", "c", divisionFunc)
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binaryComplement1s = Generator("Binary Complement 1s", 4, "1010=", "0101",
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binaryComplement1sFunc)
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moduloDivision = Generator("Modulo Division", 5, "a%b=", "c", moduloFunc)
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squareRoot = Generator("Square Root", 6, "sqrt(a)=", "b", squareRootFunc)
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powerRuleDifferentiation = Generator("Power Rule Differentiation", 7, "nx^m=",
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"(n*m)x^(m-1)",
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powerRuleDifferentiationFunc)
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square = Generator("Square", 8, "a^2", "b", squareFunc)
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lcm = Generator("LCM (Least Common Multiple)", 9, "LCM of a and b = ", "c",
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lcmFunc)
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gcd = Generator("GCD (Greatest Common Denominator)", 10, "GCD of a and b = ",
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"c", gcdFunc)
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basicAlgebra = Generator("Basic Algebra", 11, "ax + b = c", "d",
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basicAlgebraFunc)
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log = Generator("Logarithm", 12, "log2(8)", "3", logFunc)
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intDivision = Generator("Easy Division", 13, "a/b=", "c", divisionToIntFunc)
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decimalToBinary = Generator("Decimal to Binary", 14, "Binary of a=", "b",
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DecimalToBinaryFunc)
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binaryToDecimal = Generator("Binary to Decimal", 15, "Decimal of a=", "b",
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BinaryToDecimalFunc)
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fractionDivision = Generator("Fraction Division", 16, "(a/b)/(c/d)=", "x/y",
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divideFractionsFunc)
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intMatrix22Multiplication = Generator("Integer Multiplication with 2x2 Matrix",
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17, "k * [[a,b],[c,d]]=",
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"[[k*a,k*b],[k*c,k*d]]",
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multiplyIntToMatrix22)
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areaOfTriangle = Generator("Area of Triangle", 18,
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"Area of Triangle with side lengths a, b, c = ",
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"area", areaOfTriangleFunc)
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doesTriangleExist = Generator("Triangle exists check", 19,
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"Does triangle with sides a, b and c exist?",
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"Yes/No", isTriangleValidFunc)
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midPointOfTwoPoint = Generator("Midpoint of the two point", 20,
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"((X1,Y1),(X2,Y2))=", "((X1+X2)/2,(Y1+Y2)/2)",
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MidPointOfTwoPointFunc)
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factoring = Generator("Factoring Quadratic", 21, "x^2+(x1+x2)+x1*x2",
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"(x-x1)(x-x2)", factoringFunc)
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thirdAngleOfTriangle = Generator("Third Angle of Triangle", 22,
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"Third Angle of the triangle = ", "angle3",
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thirdAngleOfTriangleFunc)
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systemOfEquations = Generator("Solve a System of Equations in R^2", 23,
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"2x + 5y = 13, -3x - 3y = -6", "x = -1, y = 3",
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systemOfEquationsFunc)
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distance2Point = Generator("Distance between 2 points", 24,
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"Find the distance between (x1,y1) and (x2,y2)",
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"sqrt(distanceSquared)", distanceTwoPointsFunc)
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pythagoreanTheorem = Generator(
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"Pythagorean Theorem", 25,
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"The hypotenuse of a right triangle given the other two lengths a and b = ",
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"hypotenuse", pythagoreanTheoremFunc)
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# This has multiple variables whereas #23 has only x and y
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linearEquations = Generator("Linear Equations", 26, "2x+5y=20 & 3x+6y=12",
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"x=-20 & y=12", linearEquationsFunc)
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primeFactors = Generator("Prime Factorisation", 27, "Prime Factors of a =",
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"[b, c, d, ...]", primeFactorsFunc)
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fractionMultiplication = Generator("Fraction Multiplication", 28,
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"(a/b)*(c/d)=", "x/y",
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multiplyFractionsFunc)
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angleRegularPolygon = Generator(
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"Angle of a Regular Polygon", 29,
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"Find the angle of a regular polygon with 6 sides", "120",
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regularPolygonAngleFunc)
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combinations = Generator(
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"Combinations of Objects", 30,
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"Combinations available for picking 4 objects at a time from 6 distinct objects =",
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" 15", combinationsFunc)
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factorial = Generator("Factorial", 31, "a! = ", "b", factorialFunc)
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surfaceAreaCubeGen = Generator("Surface Area of Cube", 32,
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"Surface area of cube with side a units is",
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"b units^2", surfaceAreaCube)
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surfaceAreaCuboidGen = Generator(
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"Surface Area of Cuboid", 33,
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"Surface area of cuboid with sides = a units, b units, c units is",
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"d units^2", surfaceAreaCuboid)
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surfaceAreaCylinderGen = Generator(
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"Surface Area of Cylinder", 34,
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"Surface area of cylinder with height = a units and radius = b units is",
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"c units^2", surfaceAreaCylinder)
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volumeCubeGen = Generator("Volum of Cube", 35,
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"Volume of cube with side a units is", "b units^3",
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volumeCube)
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volumeCuboidGen = Generator(
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"Volume of Cuboid", 36,
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"Volume of cuboid with sides = a units, b units, c units is", "d units^3",
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volumeCuboid)
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volumeCylinderGen = Generator(
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"Volume of cylinder", 37,
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"Volume of cylinder with height = a units and radius = b units is",
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"c units^3", volumeCylinder)
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surfaceAreaConeGen = Generator(
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"Surface Area of cone", 38,
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"Surface area of cone with height = a units and radius = b units is",
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"c units^2", surfaceAreaCone)
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volumeConeGen = Generator(
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"Volume of cone", 39,
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"Volume of cone with height = a units and radius = b units is",
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"c units^3", volumeCone)
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commonFactors = Generator("Common Factors", 40,
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"Common Factors of {a} and {b} = ", "[c, d, ...]",
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commonFactorsFunc)
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intersectionOfTwoLines = Generator(
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"Intersection of Two Lines", 41,
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"Find the point of intersection of the two lines: y = m1*x + b1 and y = m2*x + b2",
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"(x, y)", intersectionOfTwoLinesFunc)
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permutations = Generator(
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"Permutations", 42,
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"Total permutations of 4 objects at a time from 10 objects is", "5040",
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permutationFunc)
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vectorCross = Generator("Cross Product of 2 Vectors", 43, "a X b = ", "c",
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vectorCrossFunc)
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compareFractions = Generator(
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"Compare Fractions", 44,
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"Which symbol represents the comparison between a/b and c/d?", ">/</=",
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compareFractionsFunc)
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simpleInterest = Generator(
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"Simple Interest", 45,
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"Simple interest for a principle amount of a dollars, b% rate of interest and for a time period of c years is = ",
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"d dollars", simpleInterestFunc)
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matrixMultiplication = Generator("Multiplication of two matrices", 46,
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"Multiply two matrices A and B", "C",
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matrixMultiplicationFunc)
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CubeRoot = Generator("Cube Root", 47, "Cuberoot of a upto 2 decimal places is",
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"b", cubeRootFunc)
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powerRuleIntegration = Generator("Power Rule Integration", 48, "nx^m=",
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"(n/m)x^(m+1)", powerRuleIntegrationFunc)
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fourthAngleOfQuadrilateral = Generator(
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"Fourth Angle of Quadrilateral", 49,
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"Fourth angle of Quadrilateral with angles a,b,c =", "angle4",
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fourthAngleOfQuadriFunc)
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quadraticEquationSolve = Generator(
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"Quadratic Equation", 50,
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"Find the zeros {x1,x2} of the quadratic equation ax^2+bx+c=0", "x1,x2",
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quadraticEquation)
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hcf = Generator("HCF (Highest Common Factor)", 51, "HCF of a and b = ", "c",
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hcfFunc)
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diceSumProbability = Generator(
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"Probability of a certain sum appearing on faces of dice", 52,
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"If n dices are rolled then probabilty of getting sum of x is =", "z",
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DiceSumProbFunc)
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exponentiation = Generator("Exponentiation", 53, "a^b = ", "c",
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exponentiationFunc)
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confidenceInterval = Generator("Confidence interval For sample S", 54,
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"With X% confidence", "is (A,B)",
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confidenceIntervalFunc)
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surdsComparison = Generator("Comparing surds", 55,
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"Fill in the blanks a^(1/b) _ c^(1/d)", "</>/=",
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surdsComparisonFunc)
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fibonacciSeries = Generator(
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"Fibonacci Series", 56, "fibonacci series of first a numbers",
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"prints the fibonacci series starting from 0 to a", fibonacciSeriesFunc)
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basicTrigonometry = Generator("Trigonometric Values", 57, "What is sin(X)?",
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"ans", basicTrigonometryFunc)
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sumOfAnglesOfPolygon = Generator("Sum of Angles of Polygon", 58,
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"Sum of angles of polygon with n sides = ",
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"sum", sumOfAnglesOfPolygonFunc)
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dataSummary = Generator("Mean,Standard Deviation,Variance", 59, "a,b,c",
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"Mean:a+b+c/3,Std,Var", dataSummaryFunc)
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surfaceAreaSphereGen = Generator(
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"Surface Area of Sphere", 60,
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"Surface area of sphere with radius = a units is", "d units^2",
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surfaceAreaSphere)
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volumeSphere = Generator("Volume of Sphere", 61,
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"Volume of sphere with radius r m = ",
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"(4*pi/3)*r*r*r", volumeSphereFunc)
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nthFibonacciNumberGen = Generator("nth Fibonacci number", 62,
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"What is the nth Fibonacci number", "Fn",
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nthFibonacciNumberFunc)
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profitLossPercent = Generator(
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"Profit or Loss Percent", 63,
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"Profit/ Loss percent when CP = cp and SP = sp is: ", "percent",
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profitLossPercentFunc)
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binaryToHex = Generator("Binary to Hexidecimal", 64, "Hexidecimal of a=", "b",
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binaryToHexFunc)
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complexNumMultiply = Generator("Multiplication of 2 complex numbers", 65,
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"(x + j) (y + j) = ", "xy + xj + yj -1",
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multiplyComplexNumbersFunc)
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geometricprogression = Generator(
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"Geometric Progression", 66,
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"Initial value,Common Ratio,nth Term,Sum till nth term =",
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"a,r,ar^n-1,sum(ar^n-1", geomProgrFunc)
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geometricMean = Generator("Geometric Mean of N Numbers", 67,
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"Geometric mean of n numbers A1 , A2 , ... , An = ",
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"(A1*A2*...An)^(1/n) = ans", geometricMeanFunc)
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harmonicMean = Generator("Harmonic Mean of N Numbers", 68,
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"Harmonic mean of n numbers A1 , A2 , ... , An = ",
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" n/((1/A1) + (1/A2) + ... + (1/An)) = ans",
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harmonicMeanFunc)
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eucldianNorm = Generator("Euclidian norm or L2 norm of a vector", 69,
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"Euclidian Norm of a vector V:[v1, v2, ......., vn]",
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"sqrt(v1^2 + v2^2 ........ +vn^2)", euclidianNormFunc)
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angleBtwVectors = Generator(
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"Angle between 2 vectors", 70,
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"Angle Between 2 vectors V1=[v11, v12, ..., v1n] and V2=[v21, v22, ....., v2n]",
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"V1.V2 / (euclidNorm(V1)*euclidNorm(V2))", angleBtwVectorsFunc)
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absoluteDifference = Generator(
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"Absolute difference between two numbers", 71,
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"Absolute difference betweeen two numbers a and b =", "|a-b|",
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absoluteDifferenceFunc)
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vectorDot = Generator("Dot Product of 2 Vectors", 72, "a . b = ", "c",
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vectorDotFunc)
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binary2sComplement = Generator("Binary 2's Complement", 73,
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"2's complement of 11010110 =", "101010",
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binary2sComplementFunc)
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invertmatrix = Generator("Inverse of a Matrix", 74, "Inverse of a matrix A is",
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"A^(-1)", matrixInversion)
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sectorArea = Generator("Area of a Sector", 75,
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"Area of a sector with radius, r and angle, a ", "Area",
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sectorAreaFunc)
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meanMedian = Generator("Mean and Median", 76,
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"Mean and median of given set of numbers",
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"Mean, Median", meanMedianFunc)
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intMatrix22determinant = Generator("Determinant to 2x2 Matrix", 77,
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"Det([[a,b],[c,d]]) =", " a * d - b * c",
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determinantToMatrix22)
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compoundInterest = Generator(
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"Compound Interest", 78,
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"Compound interest for a principle amount of p dollars, r% rate of interest and for a time period of t years with n times compounded annually is = ",
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"A dollars", compoundInterestFunc)
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decimalToHexadeci = Generator("Decimal to Hexadecimal", 79, "Binary of a=",
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"b", deciToHexaFunc)
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percentage = Generator("Percentage of a number", 80, "What is a% of b?",
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"percentage", percentageFunc)
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celsiustofahrenheit = Generator("Celsius To Fahrenheit", 81, "(C +(9/5))+32=", "F", celsiustofahrenheitFunc)
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arithmeticProgressionTerm = Generator("AP Term Calculation", 82,
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"Find the term number n of the AP series: a1, a2, a3 ...",
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"a-n", arithmeticProgressionTermFunc)
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arithmeticProgressionSum = Generator("AP Sum Calculation", 83,
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"Find the sum of first n terms of the AP series: a1, a2, a3 ...",
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"Sum", arithmeticProgressionSumFunc)
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