Hierarchical K-means
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Hierarchical K-means
A hierarchy (from Greek: , from , 'president of sacred rites') is an arrangement of items (objects, names, values, categories, etc.) that are represented as being "above", "below", or "at the same level as" one another. Hierarchy is an important concept in a wide variety of fields, such as architecture, philosophy, design, mathematics, computer science, organizational theory, systems theory, systematic biology, and the social sciences (especially political philosophy). A hierarchy can link entities either directly or indirectly, and either vertically or diagonally. The only direct links in a hierarchy, insofar as they are hierarchical, are to one's immediate superior or to one of one's subordinates, although a system that is largely hierarchical can also incorporate alternative hierarchies. Hierarchical links can extend "vertically" upwards or downwards via multiple links in the same direction, following a path. All parts of the hierarchy that are not linked vertically t ...
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Ancient Greek
Ancient Greek includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Dark Ages (), the Archaic period (), and the Classical period (). Ancient Greek was the language of Homer and of fifth-century Athenian historians, playwrights, and philosophers. It has contributed many words to English vocabulary and has been a standard subject of study in educational institutions of the Western world since the Renaissance. This article primarily contains information about the Epic and Classical periods of the language. From the Hellenistic period (), Ancient Greek was followed by Koine Greek, which is regarded as a separate historical stage, although its earliest form closely resembles Attic Greek and its latest form approaches Medieval Greek. There were several regional dialects of Ancient Greek, of which Attic Greek developed into Koine. Dia ...
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Visualization
Visualization or visualisation may refer to: *Visualization (graphics), the physical or imagining creation of images, diagrams, or animations to communicate a message * Data visualization, the graphic representation of data * Information visualization, the study of visual representations of abstract data * Music visualization, animated imagery based on a piece of music *Mental image, the experience of images without the relevant external stimuli * "Visualization", a song by Blank Banshee on the 2012 album ''Blank Banshee 0'' See also * Creative visualization (other) * Visualizer (other) * * * * Graphics * List of graphical methods, various forms of visualization * Guided imagery, a mind-body intervention by a trained practitioner * Illustration, a decoration, interpretation or visual explanation of a text, concept or process * Image, an artifact that depicts visual perception, such as a photograph or other picture * Infographics Infographics (a clipped ...
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Hierarch
An ordinary (from Latin ''ordinarius'') is an officer of a church or civic authority who by reason of office has ordinary power to execute laws. Such officers are found in hierarchically organised churches of Western Christianity which have an ecclesiastical legal system.See, e.g.c. 134 § 1 ''Code of Canon Law'', 1983 For example, diocesan bishops are ordinaries in the Catholic Church and the Church of England. In Eastern Christianity, a corresponding officer is called a hierarch (from Greek ''hierarkhēs'' "president of sacred rites, high-priest" which comes in turn from τὰ ἱερά ''ta hiera'', "the sacred rites" and ἄρχω ''arkhō'', "I rule"). Ordinary power In canon law, the power to govern the church is divided into the power to make laws (legislative), enforce the laws (executive), and to judge based on the law (judicial). An official exercises power to govern either because he holds an office to which the law grants governing power or because someone with ...
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Order Of Precedence
An order of precedence is a sequential hierarchy of nominal importance and can be applied to individuals, groups, or organizations. Most often it is used in the context of people by many organizations and governments, for very formal and state occasions, especially where diplomats are present. It can also be used in the context of decorations, medals and awards. Historically, the order of precedence had a more widespread use, especially in court and aristocratic life. A person's position in an order of precedence is not necessarily an indication of functional importance, but rather an indication of ceremonial or historical relevance; for instance, it may dictate where dignitaries are seated at formal dinners. The term is occasionally used to mean the order of succession—to determine who replaces the head of state in the event they are removed from office or incapacitated—as they are often identical, at least near the top. What follows are the general orders of precedence ...
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Level
Level or levels may refer to: Engineering *Level (instrument), a device used to measure true horizontal or relative heights *Spirit level, an instrument designed to indicate whether a surface is horizontal or vertical *Canal pound or level *Regrading or levelling, the process of raising and/or lowering the levels of land * Storey or level, a vertical unit of a building or a mine *Level (coordinate), vertical position Gaming *Level (video games), a stage of the game *Level (role-playing games), a measurement of character development Music *Level (music), similar to but more general and basic than a chord * ''Levels'' (album), an album by AKA * "Levels" (Avicii song) * "Levels" (Bilal song) * "Levels" (Nick Jonas song) * "Levels" (Meek Mill song) * "Level" (The Raconteurs song) * "Levels" (NorthSideBenji song), featuring Houdini Places *Level Mountain, a volcano in northern British Columbia, Canada *Levél, Győr-Moson-Sopron, Hungary *Levels, New Zealand *Level, Ohio, United Sta ...
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Authority
In the fields of sociology and political science, authority is the legitimate power of a person or group over other people. In a civil state, ''authority'' is practiced in ways such a judicial branch or an executive branch of government.''The New Fontana Dictionary of Modern Thought'' Third Edition, Allan Bullock and Stephen Trombley, Eds. p. 115. In the exercise of governance, the terms ''authority'' and ''power'' are inaccurate synonyms. The term ''authority'' identifies the political legitimacy, which grants and justifies the ruler's right to exercise the power of government; and the term ''power'' identifies the ability to accomplish an authorized goal, either by compliance or by obedience; hence, ''authority'' is the ''power'' to make decisions and the legitimacy to make such legal decisions and order their execution. History Ancient history, Ancient understandings of authority trace back to Ancient Rome, Rome and draw later from Catholic (Thomism, Thomistic) thought and ...
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Power (philosophy)
In social science and politics, power is the social production of an effect that determines the capacities, actions, beliefs, or conduct of actors. Power does not exclusively refer to the threat or use of force (coercion) by one actor against another, but may also be exerted through diffuse means (such as institutions). Power may also take structural forms, as it orders actors in relation to one another (such as distinguishing between a master and a slave), and discursive forms, as categories and language may lend legitimacy to some behaviors and groups over others. The term ''authority'' is often used for power that is perceived as legitimate or socially approved by the social structure. Power can be seen as evil or unjust; however, power can also be seen as good and as something inherited or given for exercising humanistic objectives that will help, move, and empower others as well. Scholars have distinguished between soft power and hard power. Theories Five bases ...
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Complexity
Complexity characterises the behaviour of a system or model whose components interaction, interact in multiple ways and follow local rules, leading to nonlinearity, randomness, collective dynamics, hierarchy, and emergence. The term is generally used to characterize something with many parts where those parts interact with each other in multiple ways, culminating in a higher order of emergence greater than the sum of its parts. The study of these complex linkages at various scales is the main goal of complex systems theory. The intuitive criterion of complexity can be formulated as follows: a system would be more complex if more parts could be distinguished, and if more connections between them existed. Science takes a number of approaches to characterizing complexity; Zayed ''et al.'' reflect many of these. Neil F. Johnson, Neil Johnson states that "even among scientists, there is no unique definition of complexity – and the scientific notion has traditionally been conveyed ...
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Value (ethics)
In ethics and social sciences, value denotes the degree of importance of something or action, with the aim of determining which actions are best to do or what way is best to live (normative ethics in ethics), or to describe the significance of different actions. Value systems are prospective and prescriptive beliefs; they affect the ethical behavior of a person or are the basis of their intentional activities. Often primary values are strong and secondary values are suitable for changes. What makes an action valuable may in turn depend on the ethical values of the objects it increases, decreases, or alters. An object with "ethic value" may be termed an "ethic or philosophic good" (noun sense). Values can be defined as broad preferences concerning appropriate courses of actions or outcomes. As such, values reflect a person's sense of right and wrong or what "ought" to be. "Equal rights for all", "Excellence deserves admiration", and "People should be treated with respect and dignit ...
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Ranking
A ranking is a relationship between a set of items such that, for any two items, the first is either "ranked higher than", "ranked lower than" or "ranked equal to" the second. In mathematics, this is known as a weak order or total preorder of objects. It is not necessarily a total order of objects because two different objects can have the same ranking. The rankings themselves are totally ordered. For example, materials are totally preordered by hardness, while degrees of hardness are totally ordered. If two items are the same in rank it is considered a tie. By reducing detailed measures to a sequence of ordinal numbers, rankings make it possible to evaluate complex information according to certain criteria. Thus, for example, an Internet search engine may rank the pages it finds according to an estimation of their relevance, making it possible for the user quickly to select the pages they are likely to want to see. Analysis of data obtained by ranking commonly requires non-par ...
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Element (mathematics)
In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. Sets Writing A = \ means that the elements of the set are the numbers 1, 2, 3 and 4. Sets of elements of , for example \, are subsets of . Sets can themselves be elements. For example, consider the set B = \. The elements of are ''not'' 1, 2, 3, and 4. Rather, there are only three elements of , namely the numbers 1 and 2, and the set \. The elements of a set can be anything. For example, C = \ is the set whose elements are the colors , and . Notation and terminology The relation "is an element of", also called set membership, is denoted by the symbol "∈". Writing :x \in A means that "''x'' is an element of ''A''". Equivalent expressions are "''x'' is a member of ''A''", "''x'' belongs to ''A''", "''x'' is in ''A''" and "''x'' lies in ''A''". The expressions "''A'' includes ''x''" and "''A'' contains ''x''" are also used to mea ...
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Dimension
In physics and mathematics, the dimension of a Space (mathematics), mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any Point (geometry), point within it. Thus, a Line (geometry), line has a dimension of one (1D) because only one coordinate is needed to specify a point on itfor example, the point at 5 on a number line. A Surface (mathematics), surface, such as the Boundary (mathematics), boundary of a Cylinder (geometry), cylinder or sphere, has a dimension of two (2D) because two coordinates are needed to specify a point on itfor example, both a latitude and longitude are required to locate a point on the surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the Euclidean plane, plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because three coordinates are needed to locate a point within these spaces. In classical mechanics, space and time are different categ ...
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