Conceptual model in the context of Modeling

Technology is the application of conceptual knowledge to achieve practical goals, especially in a reproducible way. The word technology can also mean the products resulting from such efforts, including both tangible tools such as utensils or machines, and intangible ones such as software. Technology plays a critical role in science, engineering, and everyday life.

Technological advancements have led to significant changes in society. The earliest known technology is the stone tool, used during prehistory, followed by the control of fire—which in turn contributed to the growth of the human brain and the development of language during the Ice Age, according to the cooking hypothesis. The invention of the wheel in the Bronze Age allowed greater travel and the creation of more complex machines. More recent technological inventions, including the printing press, telephone, and the Internet, have lowered barriers to communication and ushered in the knowledge economy.

Karl Wolfgang Deutsch (21 July 1912 – 1 November 1992) was a Czech social and political scientist. He was a professor at MIT, Yale University and Harvard University, as well as Director of WZB Berlin Social Science Center.

Deutsch studied war and peace, nationalism, co-operation, and communication, as well as pioneered quantitative methods and formal systems analysis and model-thinking into the field of political and social sciences, contributing to the development of sociological liberalism school in international relations.

A generalization is a form of abstraction whereby common properties of specific instances are formulated as general concepts or claims. Generalizations posit the existence of a domain or set of elements, as well as one or more common characteristics shared by those elements (thus creating a conceptual model). As such, they are the essential basis of all valid deductive inferences (particularly in logic, mathematics and science), where the process of verification is necessary to determine whether a generalization holds true for any given situation.

Generalization can also be used to refer to the process of identifying the parts of a whole, as belonging to the whole. The parts, which might be unrelated when left on their own, may be brought together as a group, hence belonging to the whole by establishing a common relation between them.

In psychology and cognitive science, a schema (pl.: schemata or schemas) describes a pattern of thought or behavior that organizes categories of information and the relationships among them. It can also be described as a mental structure of preconceived ideas, a framework representing some aspect of the world, or a system of organizing and perceiving new information, such as a mental schema or conceptual model. Schemata influence attention and the absorption of new knowledge: people are more likely to notice things that fit into their schema, while re-interpreting contradictions to the schema as exceptions or distorting them to fit. Schemata have a tendency to remain unchanged, even in the face of contradictory information. Schemata can help in understanding the world and the rapidly changing environment. People can organize new perceptions into schemata quickly as most situations do not require complex thought when using schema, since automatic thought is all that is required.

People use schemata to organize current knowledge and provide a framework for future understanding. Examples of schemata include mental models, social schemas, stereotypes, social roles, scripts, worldviews, heuristics, and archetypes. In Piaget's theory of development, children construct a series of schemata, based on the interactions they experience, to help them understand the world.

A model is an informative representation of an object, person, or system. The term originally denoted the plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin modulus, 'a measure'.

Models can be divided into physical models (e.g. a ship model or a fashion model) and abstract models (e.g. a set of mathematical equations describing the workings of the atmosphere for the purpose of weather forecasting). Abstract or conceptual models are central to philosophy of science.

A philosophical interpretation is the assignment of meanings to various concepts, symbols, or objects under consideration. Two broad types of interpretation can be distinguished: interpretations of physical objects, and interpretations of concepts (conceptual model).

Scientific modelling is an activity that produces models representing empirical objects, phenomena, and physical processes, to make a particular part or feature of the world easier to understand, define, quantify, visualize, or simulate. It requires selecting and identifying relevant aspects of a situation in the real world and then developing a model to replicate a system with those features. Different types of models may be used for different purposes, such as conceptual models to better understand, operational models to operationalize, mathematical models to quantify, computational models to simulate, and graphical models to visualize the subject.

Modelling is an essential and inseparable part of many scientific disciplines, each of which has its own ideas about specific types of modelling. The following was said by John von Neumann.

Political philosophy studies the theoretical and conceptual foundations of politics. It examines the nature, scope, and legitimacy of political institutions, such as states. The field investigates different forms of government, ranging from democracy to authoritarianism, and the values guiding political action, like justice, equality, and liberty. As a normative field, political philosophy focuses on desirable norms and values, in contrast to political science, which emphasizes empirical description.

Political ideologies are systems of ideas and principles that outline how society should work. Anarchism rejects the coercive power of centralized governments. It proposes a stateless society to promote liberty and equality. Conservatism seeks to preserve traditional institutions and practices. It is skeptical of the human ability to radically reform society, arguing that drastic changes can destroy the wisdom of past generations. Liberals advocate for individual rights and liberties, the rule of law, private property, and tolerance. They believe that governments should protect these values to enable individuals to pursue personal goals without external interference. Socialism emphasizes collective ownership and equal distribution of basic goods. It seeks to overcome sources of inequality, including private ownership of the means of production, class systems, and hereditary privileges. Other strands of political philosophy include environmentalism, realism, idealism, consequentialism, perfectionism, nationalism, individualism, and communitarianism.

The tree of life or universal tree of life is a metaphor, conceptual model, and research tool used to explore the evolution of life and describe the relationships between organisms, both living and extinct, as described in a famous passage in Charles Darwin's On the Origin of Species (1859).

Tree diagrams originated in the medieval era to represent genealogical relationships. Phylogenetic tree diagrams in the evolutionary sense date back to the mid-nineteenth century.

A family farm is generally understood to be a farm owned and/or operated by a family. It is sometimes considered to be an estate passed down by inheritance.

Although a recurring conceptual and archetypal distinction is that of a family farm as a smallholding versus corporate farming as large-scale agribusiness, that notion does not accurately describe the realities of farm ownership in many countries. Family farm businesses can take many forms, from smallholder farms to larger farms operated under intensive farming practices. In various countries, most farm families have structured their farm businesses as corporations (such as limited liability companies) or trusts, for liability, tax, and business purposes. Thus, the idea of a family farm as a unitary concept or definition does not easily translate across languages, cultures, or centuries, as there are substantial differences in agricultural traditions and histories between countries and between centuries within a country. For example, in U.S. agriculture, a family farm can be of any size, as long as the ownership is held within a family. A 2014 USDA report shows that family farms operate 90 percent of the nation's farmland, and account for 85 percent of the country's agricultural production value. However, that does not at all imply that corporate farming is a small presence in U.S. agriculture; rather, it simply reflects the fact that many corporations are closely held. In contrast, in Brazilian agriculture, the official definition of a family farm (agricultura familiar) is limited to small farms worked primarily by members of a single family; but again, this fact does not imply that corporate farming is a small presence in Brazilian agriculture; rather, it simply reflects the fact that large farms with many workers cannot be legally classified under the family farm label because that label is legally reserved for smallholdings in that country.

A mental model is an internal representation of external reality: that is, a way of representing reality within the mind. Such models are hypothesized to play a major role in cognition, reasoning and decision-making. The term for this concept was coined in 1943 by Kenneth Craik, who suggested that the mind constructs "small-scale models" of reality that it uses to anticipate events. Mental models can help shape behaviour, including approaches to solving problems and performing tasks.

In psychology, the term mental models is sometimes used to refer to mental representations or mental simulation generally. The concepts of schema and conceptual models are cognitively adjacent. Elsewhere, it is used to refer to the "mental model" theory of reasoning developed by Philip Johnson-Laird and Ruth M. J. Byrne.

An ahnentafel (German for "ancestor table"; German: [ˈʔaːnənˌtaːfəl]) or ahnenreihe ("ancestor series"; German: [ˈʔaːnənˌʁaɪə]) is a genealogical numbering system for listing a person's direct ancestors in a fixed sequence of ascent. The subject (or proband) of the ahnentafel is listed as No. 1, the subject's father as No. 2 and the mother as No. 3, the paternal grandparents as No. 4 and No. 5 and the maternal grandparents as No. 6 and No. 7, and so on, back through the generations. Apart from No. 1, who can be male or female, all even-numbered persons are male, and all odd-numbered persons are female. In this schema, the number of any person's father is double the person's number, and a person's mother is double the person's number plus one. Using this definition of numeration, one can derive some basic information about individuals who are listed without additional research.

This construct displays a person's genealogy compactly, without the need for a diagram such as a family tree. It is particularly useful in situations where one may be restricted to presenting a genealogy in plain text, for example, in emails or newsgroup articles. In effect, an ahnentafel is a method for storing a binary tree in an array by listing the nodes (individuals) in level-order (in generation order).

In applied mathematics, discretization is the process of transferring continuous functions, models, variables, and equations into discrete counterparts. This process is usually carried out as a first step toward making them suitable for numerical evaluation and implementation on digital computers. Dichotomization is the special case of discretization in which the number of discrete classes is 2, which can approximate a continuous variable as a binary variable (creating a dichotomy for modeling purposes, as in binary classification).

Discretization is also related to discrete mathematics, and is an important component of granular computing. In this context, discretization may also refer to modification of variable or category granularity, as when multiple discrete variables are aggregated or multiple discrete categories fused.