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Server Side Programming Articles
Page 1551 of 2109
Sum of an array using pthreads
Pthreads is an execution model that helps use multiple processors to work at the same time for solving a problem. It is independent of the programming language. Problem Statement Given an array of integers. Find the sum of all the elements of the array using pthreads. Need for Multithreading for Calculating sum The problem is to add the elements in an array. Although it is a simple problem where a linear traversal of the array can do the work very easily with a time complexity of O(n) where n is the number of elements in the array. But if we ...
Read MorePrint numbers in the range 1 to n having bits in an alternate pattern
Alternate bit pattern implies the positioning of 0’s and 1’s in a number at an alternate position i.e. no two 0s or 1’s are together. For example, 10 in binary representation is (1010)2 which has an alternate bit pattern as 0’s and 1’s are separated by each other. Problem Statement Given an integer, N. Find all the integers in the range 1 to N where the bit pattern of the integer is alternating. Example 1 Input: 10 Output: 1, 2, 5, 10 Explanation $\mathrm{(1)_{10} = (1)_2, (2)_{10} = (10)_2, (5)_{10} = (101)_2, (10)_{10} = (1010)_2}$ Example 2 Input: ...
Read MoreJacobsthal and Jacobsthal-Lucas Numbers
Jacobsthal Numbers Lucas sequence 𝑈𝑛(𝑃, 𝑄) where P = 1 and Q = -2 are called Jacobsthal numbers. The recurrence relation for Jacobsthal numbers is, $$\mathrm{𝐽_𝑛 = 0\: 𝑓𝑜𝑟 \: 𝑛 = 0}$$ $$\mathrm{𝐽_𝑛 = 1\: 𝑓𝑜𝑟 \: 𝑛 = 1}$$ $$\mathrm{𝐽_𝑛 = 𝐽_𝑛−1 + 2𝐽_{𝑛−2}\: 𝑓𝑜𝑟 \: 𝑛 > 1}$$ Following are the Jacobsthal numbers − 0, 1, 1, 3, 5, 11, 21, 43, 85, 171, 341, 683, 1365, …. Jacobsthal-Lucas Numbers Complementary Lucas sequence $\mathrm{𝑉_𝑛(𝑃, 𝑄)}$ where P = 1 and Q = -2 are called JacobsthalLucas numbers. The recurrence relation for Jacobsthal-Lucas numbers is, $\mathrm{𝐽_𝑛}$ = ...
Read MoreCentered Pentadecagonal Number
The problem includes printing the N-th centered pentadecagonal number for any input number N. A centered pentadecagonal number is a number that can be represented in the form of a figure with a dot in the centre and surrounded by successive layers of the pentadecagon i.e. 15-sided polygon. Here the successive layers of the pentadecagon depict that the first layer surrounding the dot in the centre will be 15-sided polygon, the next layer will be 30-sided polygon followed by a 45-sided polygon and so on. We can understand the concept of centered pentadecagonal with the below figures. The first ...
Read MoreCentered Octagonal Number
The problem statement includes printing the N-th centered octagonal number for some positive integer N, which will be given by the user. A centered octagonal number is a type of number which can be represented in a pattern of figures. Every centered octagonal number can be represented as a dot in the centre surrounded by the successive layers of an Octagon. An octagon is a type of polygon in geometry which has 8 sides in it. The successive layers of an octagon means that the first layer surrounding the dot in the centre will be an octagon, the second ...
Read MoreCentered Octadecagonal Number
The problem includes to print the N-th centered octadecagonal number, where N will be given as an input. A centered octadecagonal number is a type of figurative number which is represented as a dot in the centre surrounded by the successive layers of the octadecagon. An octadecagon is a polygon with 18 sides in it. The successive layers of the octadecagon are the first layer will be 18-sided polygon, the next will be 36-sided polygon and so on. The numbers can be better explained with the help of figures. The first number is represented as a dot in the ...
Read MoreCentered nonadecagonal number
The problem statement includes printing of the N-th centered nonadecagonal number for any positive value of N. A centered nonadecagonal numbers are numbers which are represented in a particular pattern of figure. This number can be represented in a figure as a dot in the centre surrounded by the successive layers of the nonadecagon. A nonadecagon is a type of polygon in mathematics which has 19 sides in it. The successive layers of the nonadecagon suggests that the first layer surrounding the dot in the centre will be 19 sided polygon followed by 38 sided polygon and so ...
Read MoreCentered dodecahedral number
The problem statement says to print the N-th centered dodecahedral number for any positive value of N which will be the user input. A centered dodecahedral number is a number that can be represented in a particular pattern of figure. A dodecahedron is a three-dimensional figure in mathematics which has 12 flat faces. And a centered dodecahedral number is a number which can be represented in the form of a figure with a dot in the centre surrounded by the successive layers of the dodecahedron (12 faced 3-d structure). The successive layers of the dodecahedron says the first layer will ...
Read MoreCentered cube number
The problem statement includes printing the N-th centered cube number for some positive value of N, which will be the user input. A centered cube number is the number of points in a three-dimensional pattern created by a point surrounded by concentric cubical layers of points, with i^2 points on the square faces of the ith layer. It is equivalently the number of points in a body-centered cubic pattern within the cube with n + 1 points along each of its edges. You can refer to wikipedia for figurative representation of the centered cube number which will help in better ...
Read MoreLimitations of fixed basis function
Introduction Fixed basis functions are functions that help us to extend linear models in Machine Learning, by taking linear combinations of nonlinear functions. Since Linear models depend on the linear combination of parameters, they suffer a significant limitation. The radial function thus helps model such a group of models by utilizing non-linearity in the data while keeping the parameters linear. Different linear combinations of the fixed basis functions are used within the linear regression by creating complex functions. In this article let us look into the fixed basis function and its limitations Fixed Basis function A linear regression model ...
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