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Articles by Simran Kumari
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Check if two People Starting from different Points Ever Meet
What comes to your mind on reading the title which says `Check if two people starting from different points ever meet`? Let’s decode. We can utilize the idea of relative velocity to find whether two persons coming from different spots ever cross paths. Now, you might be aware of the term `relative velocity`. Let’s recall. The velocity of an object relative to another item or frame of reference is known as its relative velocity. It is calculated by deducting one object's velocity from another object's velocity. If two individuals are going in the same direction, their relative velocities can be ...
Read MoreCentered Tetrahedral Number
What do you understand by a centered tetrahedral number? Let’s explore it in this article. Firstly, what is a tetrahedral number? A tetrahedral number is a figurate number that represents the number of spheres in a tetrahedron. It is also known as a triangular pyramid number. A tetrahedron is a three−dimensional geometric shape that has four triangular faces, six edges, and four vertices. To find the nth tetrahedral number, you can use the formula: Tn = (n * (n + 1) * (n + 2)) / 6 For example, the first few tetrahedral numbers are: 1, 4, 10, ...
Read MoreCentered Triangular Number
What do you understand by the term centered triangular number? Let’s decode in this article. First, what is a triangular number? A triangular arrangement of objects or dots can be used to represent a particular kind of figurate number known as a triangular number. The sum of the first n natural numbers is the nth triangular number. The first few triangular numbers, for instance, are: 1, 3, 6, 10, 15, 21 You can view these figures as triangular clusters of dots to demonstrate how they were calculated, as seen below: If you take a closer look you will ...
Read MoreCentered Square Number
What do you understand by Centered Square Number? Let’s decode in this article. Firstly, what is square number? A square number, also known as a perfect square, is a non−negative integer formed by multiplying an integer by itself. A square number, in other words, is the result of multiplying a number by itself. For example, 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are all square numbers. The sequence of square numbers can be represented by the formula n^2, where n is a positive integer. For instance, the first five square numbers are 1^2 = 1, 2^2 ...
Read MoreCentered Pentagonal Number
What do you understand by a centered pentagonal number? Let’s decode in this article. First of all, what is a pentagon? You must be aware of this term. To recall, A pentagon is a geometric shape with five straight sides and five angles that is two−dimensional. The Greek terms "penta, " which means "five, " and "gonia, " which means "angle, " are the origin of the word "pentagon." All of the sides and angles make up a regular pentagon (equal in measure). The sum of all the angles of a regular pentagon, which has 108 degrees for each angle, ...
Read MoreCentered Octahedral Number
What do you mean by a Centered octahedral number? Let’s decode. Firstly, what is an Octahedron? An octahedron is an eight−sided, equilateral triangle−shaped three−dimensional geometric shape. With 8 vertices, 12 edges, and 6 square faces, it is a polyhedron. One of the five Platonic solids, which are regular, convex polyhedra with symmetrical vertex arrangements and identical faces, is the octahedron. The octahedron has a variety of fascinating characteristics and uses, including crystallography, where it is used to describe the structure of certain crystals, and computer graphics, where it is used to model objects in three dimensions. Numerous other natural phenomena, ...
Read MoreCentered Heptagonal Number
What do you understand by the term centered hepatgonal number? Let’s decode in this article. First of all, what is a heptagonal number? A heptagonal number is a figurate number representing the number of dots that can be arranged to form a regular heptagon (a seven−sided polygon). The formula for the nth heptagonal number is: n(5n−3)/2, where n must be a positive integer. The first few heptagonal numbers, for example, are: 1 is the first heptagonal number (corresponding to a heptagon with one dot). 7 is the second heptagonal number (corresponding to a heptagon with 7 dots). 18 is ...
Read MoreCake Number
What do you understand by the term `Cake Number`? Let's decode it in this article. The term "cake number" describes a concept of discrete geometry and combinatorics−related mathematical idea. It is built on the concept of the Lazy caterer's sequence. What is the Lazy Caterer's Sequence? The maximum number of pieces a disk (cake or pizza) can be sliced into using a specific number of straight slices is known as the Lazy caterer's sequence. Although it mentions a disk, we will consider a cake in our example. One straight cut can divide a cake into two pieces, two straight cuts ...
Read MoreProgram to check the similarity of given two triangles
In this problem, we will learn to check the similarity of two given triangles, which have many real-world use cases from the viewpoint of a programmer. To construct and manage 2D and 3D models of things, CAD systems are utilized, and one key function is the capability to compare two triangles. For instance, engineers working in design and construction may need to make that the foundational measurements of a building match the blueprint. Engineers can rapidly evaluate whether the angles and sides of the foundation game the layout by utilizing a CAD tool that has a built-in feature to check ...
Read MoreNumber of triangles in a plane if no more than two points are collinear
Let us see how to calculate the number of triangles in a plane with n number of points given, with the constraint that not more than two points are collinear. Computing the number of triangles in a plane with no more than two collinear points is a typical problem in computational geometry, and it is used in computer graphics, image processing, and other areas of computer science. While creating a 2D image from a 3D scene in 3D graphics, for instance, the issue of counting triangles in a plane with no more than two points collinear can come up. The ...
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