Write a Python program to calculate the magic square. Write a Python program to multiply two integers without using the * operator. The basic idea is that if x is an overestimate to the square root of a non-negative real number S then S / x will be an underestimate and so the average of these two numbers may reasonably be expected to provide a better approximation.ġ9. It can be derived from (but predates by 16 centuries) Newton's method. Perhaps the first algorithm used for approximating √S is known as the Babylonian method, named after the Babylonians, or "Hero's method", named after the first-century Greek mathematician Hero of Alexandria who gave the first explicit description of the method. Write a Python program to compute square roots using the Babylonian method. The next remaining number is 7, so remove every 7th number:įinally, the resulting sequence is the lucky numbers.ġ8. The second remaining number is 3, so remove every 3rd number: Write a Python program to print the first n lucky numbers. Write a Python program to print all permutations of a given string (including duplicates). Write a Python program to return the sum of all divisors of a number. For example, the proper divisors of 6 are 1, 2, and 3.)ġ5. (A proper divisor of a number is a positive factor of that number other than the number itself. Note: Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. Write a Python program to find out if the given number is abundant. ![]() Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16.ġ4. The integer 12 is the first abundant number. Note: In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number itself. Write a Python program to calculate the sum of all digits of the base to the specified power. Write a Python program to calculate the difference between the squared sum of the first n natural numbers and the sum of squared first n natural numbers.(default value of number=2). Write a Python program to find the smallest multiple of the first n numbers. Note: The discriminant is the name given to the expression that appears under the square root (radical) sign in the quadratic formula. Write a Python program to calculate the discriminant value. Note: A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.ĩ. Write a Python program to calculate the area of the sector. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane.Ĩ. Note: In a planar geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Write a Python program to calculate the arc length of an angle. Note: A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball.ħ. Write a Python program to calculate the surface volume and area of a sphere. ![]() Note: A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given straight line, the axis of the cylinder.Ħ. Write a Python program to calculate the surface volume and area of a cylinder. ![]() A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.ĥ. Note : A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). Write a Python program to calculate the area of a parallelogram. An isosceles trapezoid is a trapezoid in which the base angles are equal so.Ĥ. The trapezoid is equivalent to the British definition of the trapezium. Note : A trapezoid is a quadrilateral with two sides parallel. Write a Python program to calculate the area of a trapezoid. Write a Python program to convert radians to degrees. An angle's measurement in radians is numerically equal to the length of a corresponding arc of a unit circle one radian is just under 57.3 degrees (when the arc length is equal to the radius).Įxpected Result in radians: 0.2619047619047619Ģ. Note : The radian is the standard unit of angular measure, used in many areas of mathematics. Write a Python program to convert degrees to radians.
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