Parallel computing is the process of breaking a task into smaller parts that can be processed simultaneously by multiple processors. These notes explore the different ways of achieving parallelism in hardware and their impact on parallel computing performance...
A continuous random variable X follows a normal distribution, denoted as $X \sim \mathcal{N}(\mu,\,\sigma^{2})$. The normal distribution is characterized by its bell shape and symmetry. The majority of the values are concentrated around the mean, and there are no extreme values. It can be viewed as ...
Testy jednostkowe stanowi膮 kluczowy element w procesie wytwarzania oprogramowania, maj膮c na celu weryfikacj臋 indywidualnych fragment贸w kodu (zazwyczaj funkcji lub metod). Pozwalaj膮 programi艣cie mie膰 pewno艣膰, 偶e napisane przez niego komponenty dzia艂aj膮 zgodnie z oczekiwaniami oraz pomagaj膮 w identyfi...
VTK offers a set of tools to create animations and visualize time-varying data. This is particularly useful in scenarios such as...
In many areas of life, we come across systems where elements are deeply interconnected鈥攚hether through physical routes, digital networks, or abstract relationships. Graphs offer a flexible way to represent and make sense of these connections...
Dynamic Programming (DP) is a way to solve complex problems by breaking them into smaller, easier problems. Instead of solving the same small problems again and again, DP stores their solutions in a structure like an array, table, or map. This avoids wasting time on repeated calculations and makes t...
The Taylor series is a fundamental tool in calculus and mathematical analysis, offering a powerful way to represent and approximate functions. By expanding a function around a specific point, known as the "center" or "point of expansion," we can express it as an infinite sum of polynomial terms deri...
Aby zainstalowa膰 Git, nale偶y pobra膰 instalator z oficjalnej strony https://git-scm.com/downloads i przej艣膰 przez proces instalacji. W systemie Linux dla wersji opartych na Debianie, mo偶na u偶y膰 polecenia...
Designing a new database is like planning a city鈥攜ou must know what its users need before you build it. Database requirements analysis means collecting clear details about what the system should do to meet an organization鈥檚 goals. This step determines how the data will be stored, retrieved, and main...
Multiprocessing involves running multiple processes simultaneously. Each process has its own memory space, making them more isolated from each other compared to threads, which share the same memory. This isolation means that multiprocessing can be more robust and less prone to errors from shared sta...
The Message Passing Interface (MPI) is a standardized and portable message-passing system designed to function on a wide variety of parallel computing architectures. It provides a set of library routines that can be called from programming languages like C, C++, and Fortran to write parallel applica...
Input redirection (<) allows a command to read from a file, while output redirection (>) sends a command's output to a file. Streams like stdin, stdout, and stderr control the flow of data between commands and the system, where stdin is the input, stdout is the standard output, and stderr is the err...
A partial differential equation (PDE) is an equation that involves...
In Linux, user management is a crucial aspect of system administration. A user is essentially an entity that can log into the computer system and perform tasks based on the permissions granted to them. The Linux operating system stores user-related information in a couple of key files: /etc/passwd a...
Programowanie obiektowe (ang. Object-Oriented Programming, OOP) to jeden z najpopularniejszych i najbardziej przemy艣lanych sposob贸w tworzenia oprogramowania. Polega na organizowaniu kodu w logiczne jednostki (obiekty), kt贸re 艂膮cz膮 dane (atrybuty) i funkcje (metody) w jedn膮 sp贸jn膮 ca艂o艣膰. Dzi臋ki temu...
Tablice to kontenery przechowuj膮ce wiele element贸w tego samego typu, uporz膮dkowane w okre艣lonej kolejno艣ci. Ka偶dy element w tablicy mo偶na identyfikowa膰 za pomoc膮 jego indeksu, przy czym indeksy zaczynaj膮 si臋 od zera. Tablice s膮 fundamentalnym elementem j臋zyka C++, umo偶liwiaj膮cym przechowywanie i zar...
Interakcja z konsol膮 jest kluczowym mechanizmem, kt贸ry pozwala programowi na komunikacj臋 z u偶ytkownikiem. Dzi臋ki niej mo偶na wy艣wietla膰 informacje oraz odbiera膰 dane wprowadzane przez u偶ytkownika. Podczas uruchomienia programu, system operacyjny dostarcza trzy g艂贸wne strumienie...
The power method is a fundamental iterative algorithm for estimating the eigenvalue of largest magnitude and its associated eigenvector for a given matrix. This technique is particularly appealing when dealing with large and sparse matrices, where direct eigenvalue computations (e.g., via the charac...
Does peer assessment enhance student learning...
Networking is the practice of connecting computers and devices so that they can communicate and exchange data. It forms the backbone of the internet, local area networks, and even small home networks. To grasp the intricacies of networking, it's imperative to familiarize oneself with key terminologi...
Indexes serve as a roadmap for the database engine, allowing it to find data swiftly based on the values of one or more columns. They are important for speeding up query execution, enforcing unique constraints on columns, and enabling quick information retrieval. Different types of indexes are avail...
Managing and monitoring disk usage is necessary for server maintenance, allowing administrators to identify disk space shortages caused by large log files, such as Apache or system logs, and malfunctioning applications that generate excessive data. Tools like df provide quick overviews of available ...
The Golden Ratio Search is a technique employed for locating the extremum (minimum or maximum) of a unimodal function over a given interval. Unlike gradient-based or derivative-requiring methods, this approach uses only function evaluations, making it broadly applicable even when derivatives are dif...
Matrices are often described as rectangular arrays of numbers organized into rows and columns, and they form the bedrock of numerous processes in numerical methods. People use them for solving systems of linear equations, transforming geometric data, and carrying out many algorithmic tasks that lie ...
Aby rozpocz膮膰 programowanie w Pythonie, konieczne jest przygotowanie odpowiedniego 艣rodowiska pracy. Dla wi臋kszo艣ci u偶ytkownik贸w oznacza to pobranie i zainstalowanie odpowiedniej wersji interpretera Pythona. Poni偶ej znajduje si臋 szczeg贸艂owy przewodnik dotycz膮cy instalacji Pythona w systemie Windows...
The Gauss-Seidel method is a classical iterative method for solving systems of linear equations of the form $A\mathbf{x} = \mathbf{b}$, where $A$ is an $n \times n$ matrix, $\mathbf{x}$ is the vector of unknowns $(x_1, x_2, \ldots, x_n)$, and $\mathbf{b}$ is a known vector. Unlike direct methods suc...
Bayes' theorem provides a way to update our probability estimates for an event based on new evidence. It connects the conditional and marginal probabilities of events, allowing us to revise our predictions or hypotheses in light of additional information. The theorem is stated mathematically as...
Database Management Systems, often abbreviated as DBMS, are software tools that facilitate the creation, management, and manipulation of databases. They serve as an intermediary between users or applications and the database itself, ensuring that data is consistently organized and remains easily acc...
Przeci膮偶anie (ang. overloading) to mechanizm programistyczny umo偶liwiaj膮cy definiowanie wielu funkcji lub operator贸w o tej samej nazwie, ale r贸偶ni膮cych si臋 sygnatur膮, czyli list膮 parametr贸w i ich typami. Dzi臋ki temu kompilator potrafi wybra膰 odpowiedni膮 wersj臋 funkcji lub operatora na podstawie kont...
Praca z systemem operacyjnym jest nieod艂膮czn膮 cz臋艣ci膮 tworzenia aplikacji i skrypt贸w w Pythonie. Modu艂 os z biblioteki standardowej dostarcza bogaty zestaw funkcji, kt贸re pozwalaj膮 na interakcj臋 z systemem operacyjnym w spos贸b przeno艣ny i niezale偶ny od platformy. Dzi臋ki temu mo偶emy uzyskiwa膰 informa...
Linux is a versatile and powerful open-source operating system that forms the backbone of countless technological infrastructures, from servers and desktops to mobile devices and embedded systems. Known for its stability, security, and flexibility, Linux provides a robust platform that can be custom...
Statistics is an empirical science, focusing on data-driven insights for real-world applications. This guide offers a concise exploration of statistical fundamentals, aimed at providing practical knowledge for data analysis and interpretation...
Neural networks represent a cornerstone in the field of machine learning, drawing inspiration from neurological processes within the human brain. These networks excel in processing complex datasets with numerous features, transcending traditional methods like logistic regression in both scalability ...
Optical Character Recognition (OCR) enables computers to interpret text within images. This process involves a machine learning pipeline comprising several steps, each focused on a specific aspect of OCR, like pedestrian or text detection. The pipeline integrates various techniques, including data s...
Database security encompasses a comprehensive set of measures designed to protect database management systems against threats that could compromise their confidentiality, integrity, and availability. As databases often store sensitive and critical information, safeguarding them is important for prot...