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Articles by Niharika Aitam
Page 10 of 14
Compute the outer product of two given vectors using NumPy in Python
The Outer product of two vectors is the matrix obtained by multiplying each element of the vector A with each element in the vector B. The outer product of the vectors a and b is given as a ⊗ b. The following is the mathematical formula for calculating the outer product.a ⊗ b = [a[0] * b, a[1] * b, ..., a[m-1] * b] Where, a, b are the vectors. denotes the element-wise multiplication of two vectors. The output of the outer product is a matrix in which i and j are the elements of the ...
Read MoreCompute the mean, standard deviation, and variance of a given NumPy array
Mean, Standard Deviation and Variance are the statistical measures which are used to describe the distribution of the given dataset data. In Numpy library, we have the functions to calculate the mean, standard deviation and variance of the arrays. Let’s see one by one in detail. Mean Mean is also known as average, which is the sum of all the elements in the array divided by the total number of elements. It is used to represent the central tendency of the data. Syntax Following is the syntax for applying the mean function on the arrays - numpy.mean(arr) ...
Read MoreCompute the inverse of a matrix using inv() function of NumPy
The inverse matrix is a matrix that gives a multiplicative identity when multiplied with its original matrix. It is denoted by A-1. The inverse matrix can be calculated for the square matrices with the n x n size. The mathematical formula given for calculating the inverse matrix is as follows. A-1 . A = A . A-1 = I Where, A is the original matrix. A-1 is the inverse of the original matrix A. I is the identity matrix. Let’s take the original matrix as A with the size 2 x 2 and elements as ...
Read MoreCompute the covariance matrix of two given NumPy arrays
Covariance is the measure of two variables that defines how they are related to each other. In other words, it measures the extent to which one variable is associated with the changes in the other variable. When the covariance of the variables is positive, it implies that both variables are moving in the same direction i.e. if one variable tends to increase, as a result, the value of the other variable also increases. When the covariance of the variables is negative then it represents the two variables are moving in opposite direction i.e. if one variable increases the value ...
Read MorePython - Chuncked summation every K value
Chunked sum also known as partial sum or rolling sum, which is a process of calculating the sum of elements in a sequence such as list, array, or any iterable, in smaller chunks or subsets rather than calculating the sum of the entire sequence at once. Each chunk represents a group of consecutive elements from the sequence, and the sum is calculated for each chunk individually. For example, consider the sequence [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], and let's calculate the chunked sum with a chunk size of 3. Chunk 1: [1, 2, 3] → ...
Read MorePython - Check possible bijection between a sequence of characters and digits
In mathematics, a bijection refers to a function that establishes a one-to-one correspondence between two sets. It means that each element in one set has a unique and distinct counterpart in the other set, and vice versa. In other words, a bijection ensures that there are no duplicates or missing elements in the mapping. In the view of programming, specifically Python, checking for a bijection often involves validating whether a one-to-one mapping exists between elements of two sequences or collections. For example, given two lists, A and B, we can check if there is a bijection between their elements by ...
Read MorePython - Check Numeric Suffix in String
Generally, a suffix refers to an affix or a group of letters that is added to the end of a word to modify its meaning or to form a new word. Suffixes are used in linguistics and grammar to create different word forms, such as plurals, verb tenses, comparatives, and more. Suffixes can change the meaning or function of a word in various ways. For example, the suffix "-s" added to the word "cat" forms the plural "cats, " indicating multiple cats. Similarly, the suffix "-ed" added to the verb "walk" creates the past tense "walked, " indicating an action ...
Read MoreCheck if a tuple exists as dictionary key in Python
A Dictionary is one of the data structures available in python which stores the data in the format of key and value pairs. It is mutable i.e., once the data is defined in the dictionary we can make the modifications on the data. It is an unordered collection of elements. The key in the dictionary is unique and the values can be duplicates. The key and value are separated by using the colon (:). On the other hand, a tuple is an ordered collection of elements, enclosed in parentheses (), separated by commas. It is immutable, which means the values ...
Read MoreClustering, Connectivity and other Graph properties using Python Networkx
Python NetworkX is a popular open-source Python library used for the creation, manipulation, and analysis of complex networks or graphs. It provides a wide range of tools, algorithms, and functions to work with graphs, making it a valuable resource for network analysis and research. Python NetworkX allows us to represent and work with different types of graphs, such as directed graphs, undirected graphs, multigraphs (graphs with multiple edges between nodes), and weighted graphs (graphs with edge weights). It also provides a simple and intuitive interface for creating, adding nodes and edges, and performing various operations on graphs. Installation and importing ...
Read MoreComplexity Cheat Sheet for Python Operations
Time complexity is a measure of time, which determines the time required for the algorithm to execute. It also checks how the running time is being increased when the size of the inputs is getting increased. The time complexity is represented with the notation capital O, which sets an upper bound in the worst case performance of an algorithm. Whenever we design an algorithm we should keep in mind not only about the correctness but also about the time complexity and performance characteristics. For example, if an algorithm has time complexity O(n) that would take twice of O(n) to execute ...
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