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Nuclear engineering is the engineering discipline concerned with designing and applying systems that utilize the energy released by nuclear processes. The most prominent application of nuclear engineering is the generation of electricity. Worldwide, some 440 nuclear reactors in 32 countries generate 10 percent of the w...
https://en.wikipedia.org/wiki/Nuclear_engineering
Process engineering is a field of study focused on the development and optimization of industrial processes. It consists of the understanding and application of the fundamental principles and laws of nature to allow humans to transform raw material and energy into products that are useful to society, at an industrial l...
https://en.wikipedia.org/wiki/Process_engineering
Manufacturing engineering or production engineering is a branch of professional engineering that shares many common concepts and ideas with other fields of engineering such as mechanical, chemical, electrical, and industrial engineering. Manufacturing engineering requires the ability to plan the practices of manufactu...
https://en.wikipedia.org/wiki/Manufacturing_engineering
Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems that use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the latter half of the 19th century after the commercialization of the electric te...
https://en.wikipedia.org/wiki/Electrical_engineering
Genetic engineering, also called genetic modification or genetic manipulation, is the modification and manipulation of an organism's genes using technology. It is a set of technologies used to change the genetic makeup of cells, including the transfer of genes within and across species boundaries to produce improved o...
https://en.wikipedia.org/wiki/Genetic_engineering
Regarding the civil engineering of shorelines, soft engineering is a shoreline management practice that uses sustainable ecological principles to restore shoreline stabilization and protect riparian habitats. Soft Shoreline Engineering (SSE) uses the strategic placement of organic materials such as vegetation, stones, ...
https://en.wikipedia.org/wiki/Soft_engineering
Computer engineering (CE, CoE, or CpE) is a branch of engineering specialized in developing computer hardware and software. It integrates several fields of electrical engineering, electronics engineering and computer science. Computer engineering is referred to as electrical and computer engineering or computer scienc...
https://en.wikipedia.org/wiki/Computer_engineering
Tissue engineering is a biomedical engineering discipline that uses a combination of cells, engineering, materials methods, and suitable biochemical and physicochemical factors to restore, maintain, improve, or replace different types of biological tissues. Tissue engineering often involves the use of cells placed on t...
https://en.wikipedia.org/wiki/Tissue_engineering
Biochemical engineering, also known as bioprocess engineering, is a field of study with roots stemming from chemical engineering and biological engineering. It mainly deals with the design, construction, and advancement of unit processes that involve biological organisms (such as fermentation) or organic molecules (oft...
https://en.wikipedia.org/wiki/Biochemical_engineering
Platform engineering is a software engineering discipline focused on the development of self-service toolchains, services, and processes to create an internal developer platform (IDP). The shared IDP can be utilized by software development teams, enabling them to innovate. Platform engineering uses components like conf...
https://en.wikipedia.org/wiki/Platform_engineering
In engineering, a foundation is the element of a structure which connects it to the ground or more rarely, water (as with floating structures), transferring loads from the structure to the ground. Foundations are generally considered either shallow or deep. Foundation engineering is the application of soil mechanics a...
https://en.wikipedia.org/wiki/Foundation_(engineering)
Strain engineering refers to a general strategy employed in semiconductor manufacturing to enhance device performance. Performance benefits are achieved by modulating strain, as one example, in the transistor channel, which enhances electron mobility (or hole mobility) and thereby conductivity through the channel. Ano...
https://en.wikipedia.org/wiki/Strain_engineering
Computer science and engineering (CSE) or computer science (CS) also integrated as electrical engineering and computer science (EECS) in some universities, is an academic subject comprising approaches of computer science and computer engineering. There is no clear division in computing between science and engineering, ...
https://en.wikipedia.org/wiki/Computer_science_and_engineering
Geotechnical engineering, also known as geotechnics, is the branch of civil engineering concerned with the engineering behavior of earth materials. It uses the principles of soil mechanics and rock mechanics to solve its engineering problems. It also relies on knowledge of geology, hydrology, geophysics, and other rela...
https://en.wikipedia.org/wiki/Geotechnical_engineering
Reservoir engineering is a branch of petroleum engineering that applies scientific principles to the fluid flow through a porous medium during the development and production of oil and gas reservoirs so as to obtain a high economic recovery. The working tools of the reservoir engineer are subsurface geology, applied ma...
https://en.wikipedia.org/wiki/Reservoir_engineering
A Bachelor of Engineering (BE or BEng) or a Bachelor of Science in Engineering (BSc (Eng) or BSE) is an undergraduate academic degree awarded to a college graduate majoring in an engineering discipline at a higher education institution. In the United Kingdom, a Bachelor of Engineering degree program is accredited by on...
https://en.wikipedia.org/wiki/Bachelor_of_Engineering
Biomedical engineering (BME) or medical engineering is the application of engineering principles and design concepts to medicine and biology for healthcare applications (e.g., diagnostic or therapeutic purposes). BME is also traditionally logical sciences to advance health care treatment, including diagnosis, monitorin...
https://en.wikipedia.org/wiki/Biomedical_engineering
Engineering management is the application of engineering methods, tools, and techniques to business management systems. Engineering management is a career that brings together the technological problem-solving ability of engineering and the organizational, administrative, legal and planning abilities of management in o...
https://en.wikipedia.org/wiki/Engineering_management
Clinical engineering is a specialty within biomedical engineering responsible for using medical technology to optimize healthcare delivery. Clinical engineers train and supervise biomedical equipment technicians (BMETs), working with governmental regulators on hospital inspections and audits, and serve as technological...
https://en.wikipedia.org/wiki/Clinical_engineering
In geotechnical engineering, a caisson (; borrowed from French caisson 'box', from Italian cassone 'large box', an augmentative of cassa) is a watertight retaining structure. It is used, for example, to work on the foundations of a bridge pier, for the construction of a concrete dam, or for the repair of ships. Caiss...
https://en.wikipedia.org/wiki/Caisson_(engineering)
Prompt engineering is the process of structuring or crafting an instruction in order to produce the best possible output from a generative artificial intelligence (AI) model. A prompt is natural language text describing the task that an AI should perform. A prompt for a text-to-text language model can be a query, a com...
https://en.wikipedia.org/wiki/Prompt_engineering
Railway engineering is a multi-faceted engineering discipline dealing with the design, construction and operation of all types of rail transport systems. It encompasses a wide range of engineering disciplines, including civil engineering, computer engineering, electrical engineering, mechanical engineering, industrial ...
https://en.wikipedia.org/wiki/Railway_engineering
Algorithm engineering focuses on the design, analysis, implementation, optimization, profiling and experimental evaluation of computer algorithms, bridging the gap between algorithmics theory and practical applications of algorithms in software engineering. It is a general methodology for algorithmic research. == Ori...
https://en.wikipedia.org/wiki/Algorithm_engineering
Porsche Engineering (Porsche Engineering Group GmbH) was established in 2001 as a wholly owned subsidiary of Porsche AG, with headquarters in Weissach, and traces its history back to 1931 when Porsche created its first engineering office subsidiary. Porsche Engineering Group has been re-organized into Porsche Consultin...
https://en.wikipedia.org/wiki/Porsche_Engineering
In engineering and systems theory, redundancy is the intentional duplication of critical components or functions of a system with the goal of increasing reliability of the system, usually in the form of a backup or fail-safe, or to improve actual system performance, such as in the case of GNSS receivers, or multi-threa...
https://en.wikipedia.org/wiki/Redundancy_(engineering)
Elecon Engineering Company Limited is an Indian multinational company headquartered in Anand, Gujarat. The company specializes in the manufacturing of industrial gear and material handling equipment. Elecon is one of the largest Asian manufacturers of industrial gears and material handling equipment for core major sec...
https://en.wikipedia.org/wiki/Elecon_Engineering
Acoustical engineering (also known as acoustic engineering) is the branch of engineering dealing with sound and vibration. It includes the application of acoustics, the science of sound and vibration, in technology. Acoustical engineers are typically concerned with the design, analysis and control of sound. One goal of...
https://en.wikipedia.org/wiki/Acoustical_engineering
Software engineering is a branch of both computer science and engineering focused on designing, developing, testing, and maintaining software applications. It involves applying engineering principles and computer programming expertise to develop software systems that meet user needs. The terms programmer and coder over...
https://en.wikipedia.org/wiki/Software_engineering
Engineering is the practice of using natural science, mathematics, and the engineering design process to solve problems within technology, increase efficiency and productivity, and improve systems. Modern engineering comprises many subfields which include designing and improving infrastructure, machinery, vehicles, ele...
https://en.wikipedia.org/wiki/Engineering
Engineering education is the activity of teaching knowledge and principles to the professional practice of engineering. It includes an initial education (Dip.Engg.)and (B.Engg.) or (M.Engg.), and any advanced education and specializations that follow. Engineering education is typically accompanied by additional postgra...
https://en.wikipedia.org/wiki/Engineering_education
Quantum engineering is the development of technology that capitalizes on the laws of quantum mechanics. This type of engineering uses quantum mechanics to develop technologies such as quantum sensors and quantum computers. Devices that rely on quantum mechanical effects such as lasers, MRI imagers and transistors have ...
https://en.wikipedia.org/wiki/Quantum_engineering
Integrated Engineering is a degree program (and similar concept programs such as Interdisciplinary and Multidisciplinary Engineering) combining aspects from traditional engineering studies and liberal arts, meant to prepare graduates for multi-disciplinary and project-based workplaces. Integrated engineers acquire back...
https://en.wikipedia.org/wiki/Integrated_engineering
Geological engineering is a discipline of engineering concerned with the application of geological science and engineering principles to fields, such as civil engineering, mining, environmental engineering, and forestry, among others. The work of geological engineers often directs or supports the work of other engineer...
https://en.wikipedia.org/wiki/Geological_engineering
Metallurgy is a domain of materials science and engineering that studies the physical and chemical behavior of metallic elements, their inter-metallic compounds, and their mixtures, which are known as alloys. Metallurgy encompasses both the science and the technology of metals, including the production of metals and th...
https://en.wikipedia.org/wiki/Metallurgy
In engineering, macro-engineering (alternatively known as mega engineering) is the implementation of large-scale design projects. It can be seen as a branch of civil engineering or structural engineering applied on a large landmass. In particular, macro-engineering is the process of marshaling and managing of resources...
https://en.wikipedia.org/wiki/Macro-engineering
Mechanical engineering is the study of physical machines and mechanisms that may involve force and movement. It is an engineering branch that combines engineering physics and mathematics principles with materials science, to design, analyze, manufacture, and maintain mechanical systems. It is one of the oldest and broa...
https://en.wikipedia.org/wiki/Mechanical_engineering
River engineering is a discipline of civil engineering which studies human intervention in the course, characteristics, or flow of a river with the intention of producing some defined benefit. People have intervened in the natural course and behaviour of rivers since before recorded history—to manage the water resource...
https://en.wikipedia.org/wiki/River_engineering
An audio engineer (also known as a sound engineer or recording engineer) helps to produce a recording or a live performance, balancing and adjusting sound sources using equalization, dynamics processing and audio effects, mixing, reproduction, and reinforcement of sound. Audio engineers work on the "technical aspect of...
https://en.wikipedia.org/wiki/Audio_engineer
Biological engineering or bioengineering is the application of principles of biology and the tools of engineering to create usable, tangible, economically viable products. Biological engineering employs knowledge and expertise from a number of pure and applied sciences, such as mass and heat transfer, kinetics, biocat...
https://en.wikipedia.org/wiki/Biological_engineering
The following outline is provided as an overview of and topical guide to engineering: Engineering is the scientific discipline and profession that applies scientific theories, mathematical methods, and empirical evidence to design, create, and analyze technological solutions cognizant of safety, human factors, physical...
https://en.wikipedia.org/wiki/Outline_of_engineering
Engineering physics (EP), sometimes engineering science, is the field of study combining pure science disciplines (such as physics, mathematics, chemistry or biology) and engineering disciplines (computer, nuclear, electrical, aerospace, medical, materials, mechanical, etc.). In many languages, the term technical physi...
https://en.wikipedia.org/wiki/Engineering_physics
Planetary engineering is the development and application of technology for the purpose of influencing the environment of a planet. Planetary engineering encompasses a variety of methods such as terraforming, seeding, and geoengineering. Widely discussed in the scientific community, terraforming refers to the alteration...
https://en.wikipedia.org/wiki/Planetary_engineering
Aerospace engineering is the primary field of engineering concerned with the development of aircraft and spacecraft. It has two major and overlapping branches: aeronautical engineering and astronautical engineering. Avionics engineering is similar, but deals with the electronics side of aerospace engineering. "Aerona...
https://en.wikipedia.org/wiki/Aerospace_engineering
Chemical engineering is an engineering field which deals with the study of the operation and design of chemical plants as well as methods of improving production. Chemical engineers develop economical commercial processes to convert raw materials into useful products. Chemical engineering uses principles of chemistry, ...
https://en.wikipedia.org/wiki/Chemical_engineering
Rehabilitation engineering is the systematic application of engineering sciences to design, develop, adapt, test, evaluate, apply, and distribute technological solutions to problems confronted by individuals with disabilities. These individuals may have experienced a spinal cord injury, brain trauma, or any other debi...
https://en.wikipedia.org/wiki/Rehabilitation_engineering
Microwave engineering pertains to the study and design of microwave circuits, components, and systems. Fundamental principles are applied to analysis, design and measurement techniques in this field. The short wavelengths involved distinguish this discipline from electronic engineering. This is because there are differ...
https://en.wikipedia.org/wiki/Microwave_engineering
An engineering drawing is a type of technical drawing that is used to convey information about an object. A common use is to specify the geometry necessary for the construction of a component and is called a detail drawing. Usually, a number of drawings are necessary to completely specify even a simple component. These...
https://en.wikipedia.org/wiki/Engineering_drawing
Financial engineering is a multidisciplinary field involving financial theory, methods of engineering, tools of mathematics and the practice of programming. It has also been defined as the application of technical methods, especially from mathematical finance and computational finance, in the practice of finance. Finan...
https://en.wikipedia.org/wiki/Financial_engineering
Electronic engineering is a sub-discipline of electrical engineering that emerged in the early 20th century and is distinguished by the additional use of active components such as semiconductor devices to amplify and control electric current flow. Previously electrical engineering only used passive devices such as mech...
https://en.wikipedia.org/wiki/Electronic_engineering
Explosives engineering is the field of science and engineering which is related to examining the behavior and usage of explosive materials. == Topics == Some of the topics that explosives engineers study, research, and work on include: Development and characterization of new explosive materials in various forms Anal...
https://en.wikipedia.org/wiki/Explosives_engineering
Control engineering, also known as control systems engineering and, in some European countries, automation engineering, is an engineering discipline that deals with control systems, applying control theory to design equipment and systems with desired behaviors in control environments. The discipline of controls overlap...
https://en.wikipedia.org/wiki/Control_engineering
Engineering psychology, also known as Human Factors Engineering or Human Factors Psychology, is the science of human behavior and capability, applied to the design and operation of systems and technology. As an applied field of psychology and an interdisciplinary part of ergonomics, it aims to improve the relationships...
https://en.wikipedia.org/wiki/Engineering_psychology
Teenage Engineering is a Swedish consumer electronics company and manufacturer founded in 2005 by Jesper Kouthoofd, David Eriksson, Jens Rudberg and David Möllerstedt and based in Stockholm. Its products include electronics and synthesizers, with its core product being the OP-1, as well as instant cameras. == History...
https://en.wikipedia.org/wiki/Teenage_Engineering
Automotive engineering, along with aerospace engineering and naval architecture, is a branch of vehicle engineering, incorporating elements of mechanical, electrical, electronic, software, and safety engineering as applied to the design, manufacture and operation of motorcycles, automobiles, and trucks and their respec...
https://en.wikipedia.org/wiki/Automotive_engineering
Bioresource engineering is similar to biological engineering, except that it is based on biological and/or agricultural feedstocks. Bioresource engineering is more general and encompasses a wider range of technologies and various elements such as biomass, biological waste treatment, bioenergy, biotransformations, biore...
https://en.wikipedia.org/wiki/Bioresource_engineering
Systems engineering is an interdisciplinary field of engineering and engineering management that focuses on how to design, integrate, and manage complex systems over their life cycles. At its core, systems engineering utilizes systems thinking principles to organize this body of knowledge. The individual outcome of suc...
https://en.wikipedia.org/wiki/Systems_engineering
The World Wide Web has become a major delivery platform for a variety of complex and sophisticated enterprise applications in several domains. In addition to their inherent multifaceted functionality, these Web applications exhibit complex behaviour and place some unique demands on their usability, performance, securit...
https://en.wikipedia.org/wiki/Web_engineering
In the context of information security, social engineering is the use of psychological influence of people into performing actions or divulging confidential information. This differs from psychological manipulation in that it doesn't need to be controlling, negative or a one-way transaction. Manipulation involves a zer...
https://en.wikipedia.org/wiki/Social_engineering_(security)
In engineering, deformation (the change in size or shape of an object) may be elastic or plastic. If the deformation is negligible, the object is said to be rigid. == Main concepts == Occurrence of deformation in engineering applications is based on the following background concepts: Displacements are any change in ...
https://en.wikipedia.org/wiki/Deformation_(engineering)
Capgemini Engineering (previously known as Altran Technologies, SA) is a global innovation and engineering consulting firm founded in 1982 in France by Alexis Kniazeff and Hubert Martigny. Altran Technologies operated primarily in high technology and innovation industries, which accounted for nearly 75% of its turnover...
https://en.wikipedia.org/wiki/Capgemini_Engineering
Industrial engineering (IE) is concerned with the design, improvement and installation of integrated systems of people, materials, information, equipment and energy. It draws upon specialized knowledge and skill in the mathematical, physical, and social sciences together with the principles and methods of engineering a...
https://en.wikipedia.org/wiki/Industrial_engineering
Margaret Elaine Hamilton (née Heafield; born August 17, 1936) is an American computer scientist. She directed the Software Engineering Division at the MIT Instrumentation Laboratory, where she led the development of the on-board flight software for NASA's Apollo Guidance Computer for the Apollo program. She later found...
https://en.wikipedia.org/wiki/Margaret_Hamilton_(software_engineer)
Reverse engineering (also known as backwards engineering or back engineering) is a process or method through which one attempts to understand through deductive reasoning how a previously made device, process, system, or piece of software accomplishes a task with very little (if any) insight into exactly how it does so....
https://en.wikipedia.org/wiki/Reverse_engineering
Kansei engineering (Japanese: 感性工学 kansei kougaku, emotional or affective engineering) aims at the development or improvement of products and services by translating the customer's psychological feelings and needs into the domain of product design (i.e. parameters). It was founded by Mitsuo Nagamachi, professor emeritu...
https://en.wikipedia.org/wiki/Kansei_engineering
Maintenance Engineering is the discipline and profession of applying engineering concepts for the optimization of equipment, procedures, and departmental budgets to achieve better maintainability, reliability, and availability of equipment. Maintenance, and hence maintenance engineering, is increasing in importance due...
https://en.wikipedia.org/wiki/Maintenance_engineering
Usability engineering is a professional discipline that focuses on improving the usability of interactive systems. It draws on theories from computer science and psychology to define problems that occur during the use of such a system. Usability Engineering involves the testing of designs at various stages of the devel...
https://en.wikipedia.org/wiki/Usability_engineering
In engineering and materials science, necking is a mode of tensile deformation where relatively large amounts of strain localize disproportionately in a small region of the material. The resulting prominent decrease in local cross-sectional area provides the basis for the name "neck". Because the local strains in the...
https://en.wikipedia.org/wiki/Necking_(engineering)
Telecommunications engineering is a subfield of electronics engineering which seeks to design and devise systems of communication at a distance. The work ranges from basic circuit design to strategic mass developments. A telecommunication engineer is responsible for designing and overseeing the installation of telecomm...
https://en.wikipedia.org/wiki/Telecommunications_engineering
ST Engineering, is a global technology, defence and engineering group with a diverse portfolio of businesses across the aerospace, smart city, defence and public security segments. Headquartered in Singapore, the group reported a revenue of over S$11 billion in 2024 and ranks among the largest companies listed on the S...
https://en.wikipedia.org/wiki/ST_Engineering
The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) public charity professional organization for electrical engineering, electronics engineering, and other related disciplines. The IEEE has a corporate office in New York City and an operations center in Piscataway, New Jersey. The IEEE...
https://en.wikipedia.org/wiki/Institute_of_Electrical_and_Electronics_Engineers
Feature engineering is a preprocessing step in supervised machine learning and statistical modeling which transforms raw data into a more effective set of inputs. Each input comprises several attributes, known as features. By providing models with relevant information, feature engineering significantly enhances their p...
https://en.wikipedia.org/wiki/Feature_engineering
In computer science, information science and systems engineering, ontology engineering is a field which studies the methods and methodologies for building ontologies, which encompasses a representation, formal naming and definition of the categories, properties and relations between the concepts, data and entities of a...
https://en.wikipedia.org/wiki/Ontology_engineering
Engineering is the discipline and profession that applies scientific theories, mathematical methods, and empirical evidence to design, create, and analyze technological solutions, balancing technical requirements with concerns or constraints on safety, human factors, physical limits, regulations, practicality, and cost...
https://en.wikipedia.org/wiki/List_of_engineering_branches
Ceramic engineering is the science and technology of creating objects from inorganic, non-metallic materials. This is done either by the action of heat, or at lower temperatures using precipitation reactions from high-purity chemical solutions. The term includes the purification of raw materials, the study and producti...
https://en.wikipedia.org/wiki/Ceramic_engineering
Food engineering is a scientific, academic, and professional field that interprets and applies principles of engineering, science, and mathematics to food manufacturing and operations, including the processing, production, handling, storage, conservation, control, packaging and distribution of food products. Given its ...
https://en.wikipedia.org/wiki/Food_engineering
In engineering, a process is a series of interrelated tasks that, together, transform inputs into a given output. These tasks may be carried out by people, nature or machines using various resources; an engineering process must be considered in the context of the agents carrying out the tasks and the resource attribute...
https://en.wikipedia.org/wiki/Process_(engineering)
Chaos engineering is the discipline of experimenting on a system in order to build confidence in the system's capability to withstand turbulent conditions in production. == Concept == In software development, the ability of a given software to tolerate failures while still ensuring adequate quality of service—often t...
https://en.wikipedia.org/wiki/Chaos_engineering
Civil engineering is a professional engineering discipline that deals with the design, construction, and maintenance of the physical and naturally built environment, including public works such as roads, bridges, canals, dams, airports, sewage systems, pipelines, structural components of buildings, and railways. Civil ...
https://en.wikipedia.org/wiki/Civil_engineering
Surface engineering is the sub-discipline of materials science which deals with the surface of solid matter. It has applications to chemistry, mechanical engineering, and electrical engineering (particularly in relation to semiconductor manufacturing). Solids are composed of a bulk material covered by a surface. The su...
https://en.wikipedia.org/wiki/Surface_engineering
The study of Engineering Economics in Civil Engineering, also known generally as engineering economics, or alternatively engineering economy, is a subset of economics, more specifically, microeconomics. It is defined as a "guide for the economic selection among technically feasible alternatives for the purpose of a rat...
https://en.wikipedia.org/wiki/Engineering_economics_(civil_engineering)
Tsinghua University (THU) is a public university in Haidian, Beijing, China. It is affiliated with and funded by the Ministry of Education of China. The university is part of Project 211, Project 985, and the Double First-Class Construction. It is also a member in the C9 League. Tsinghua University's campus is in north...
https://en.wikipedia.org/wiki/Tsinghua_University
A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge. Mathematics teachers assign mathematical exercises to develop the skills of their students. Early exercises deal with addition, subtraction, multiplication, and division of integers. Extensive courses of exercises in...
https://en.wikipedia.org/wiki/Exercise_(mathematics)
In mathematics, a knot is an embedding of the circle (S1) into three-dimensional Euclidean space, R3 (also known as E3). Often two knots are considered equivalent if they are ambient isotopic, that is, if there exists a continuous deformation of R3 which takes one knot to the other. A crucial difference between the ...
https://en.wikipedia.org/wiki/Knot_(mathematics)
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, Varāhamihira, and Madhava. The decimal number system in use to...
https://en.wikipedia.org/wiki/Indian_mathematics
In mathematics, a duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. In other cases the dual of the dual – the double dual or bid...
https://en.wikipedia.org/wiki/Duality_(mathematics)
In mathematics, a real interval is the set of all real numbers lying between two fixed endpoints with no "gaps". Each endpoint is either a real number or positive or negative infinity, indicating the interval extends without a bound. A real interval can contain neither endpoint, either endpoint, or both endpoints, exc...
https://en.wikipedia.org/wiki/Interval_(mathematics)
In mathematics, the term socle has several related meanings. == Socle of a group == In the context of group theory, the socle of a group G, denoted soc(G), is the subgroup generated by the minimal normal subgroups of G. It can happen that a group has no minimal non-trivial normal subgroup (that is, every non-trivial ...
https://en.wikipedia.org/wiki/Socle_(mathematics)
In mathematics, a character is (most commonly) a special kind of function from a group to a field (such as the complex numbers). There are at least two distinct, but overlapping meanings. Other uses of the word "character" are almost always qualified. == Multiplicative character == A multiplicative character (or lin...
https://en.wikipedia.org/wiki/Character_(mathematics)
Vedic Mathematics is a book written by Indian Shankaracharya Bharati Krishna Tirtha and first published in 1965. It contains a list of mathematical techniques which were falsely claimed to contain advanced mathematical knowledge. The book was posthumously published under its deceptive title by editor V. S. Agrawala, wh...
https://en.wikipedia.org/wiki/Vedic_Mathematics
Computational mathematics is the study of the interaction between mathematics and calculations done by a computer. A large part of computational mathematics consists roughly of using mathematics for allowing and improving computer computation in areas of science and engineering where mathematics are useful. This invol...
https://en.wikipedia.org/wiki/Computational_mathematics
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity. For example, th...
https://en.wikipedia.org/wiki/Function_(mathematics)
Mathematical puzzles make up an integral part of recreational mathematics. They have specific rules, but they do not usually involve competition between two or more players. Instead, to solve such a puzzle, the solver must find a solution that satisfies the given conditions. Mathematical puzzles require mathematics to ...
https://en.wikipedia.org/wiki/Mathematical_puzzle
In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection of "objects" that are linked by "arrows". A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. A simple e...
https://en.wikipedia.org/wiki/Category_(mathematics)
In mathematics, when a mathematical phenomenon runs counter to some intuition, then the phenomenon is sometimes called pathological. On the other hand, if a phenomenon does not run counter to intuition, it is sometimes called well-behaved or nice. These terms are sometimes useful in mathematical research and teaching, ...
https://en.wikipedia.org/wiki/Pathological_(mathematics)
In mathematics, a matrix (pl.: matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object. For example, [ ...
https://en.wikipedia.org/wiki/Matrix_(mathematics)
Mathematics has no generally accepted definition. Different schools of thought, particularly in philosophy, have put forth radically different definitions. All are controversial. == Early definitions == Aristotle defined mathematics as: The science of quantity. In Aristotle's classification of the sciences, discrete...
https://en.wikipedia.org/wiki/Definitions_of_mathematics
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics. The be...
https://en.wikipedia.org/wiki/Field_(mathematics)
Abstraction in mathematics is the process of extracting the underlying structures, patterns or properties of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract de...
https://en.wikipedia.org/wiki/Abstraction_(mathematics)
In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object. Equality between A and B is written A = B, and pronounced "A equals B". In this equality, A and B are distinguished by calling them left-hand side (LHS), an...
https://en.wikipedia.org/wiki/Equality_(mathematics)
Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense, algebra, geometry, measurement, and...
https://en.wikipedia.org/wiki/Elementary_mathematics