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Analytical Solution
Generally speaking, analytic (from el, ἀναλυτικός, ''analytikos'') refers to the "having the ability to analyze" or "division into elements or principles". Analytic or analytical can also have the following meanings: Chemistry * Analytical chemistry, the analysis of material samples to learn their chemical composition and structure * Analytical technique, a method that is used to determine the concentration of a chemical compound or chemical element * Analytical concentration Mathematics * Abstract analytic number theory, the application of ideas and techniques from analytic number theory to other mathematical fields * Analytic combinatorics, a branch of combinatorics that describes combinatorial classes using generating functions * Analytic element method, a numerical method used to solve partial differential equations * Analytic expression or analytic solution, a mathematical expression using well-known operations that lend themselves readily to calculation * A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytical Chemistry
Analytical chemistry studies and uses instruments and methods to separate, identify, and quantify matter. In practice, separation, identification or quantification may constitute the entire analysis or be combined with another method. Separation isolates analytes. Qualitative analysis identifies analytes, while quantitative analysis determines the numerical amount or concentration. Analytical chemistry consists of classical, wet chemical methods and modern, instrumental methods. Classical qualitative methods use separations such as precipitation, extraction, and distillation. Identification may be based on differences in color, odor, melting point, boiling point, solubility, radioactivity or reactivity. Classical quantitative analysis uses mass or volume changes to quantify amount. Instrumental methods may be used to separate samples using chromatography, electrophoresis or field flow fractionation. Then qualitative and quantitative analysis can be performed, often with t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Tableau
In proof theory, the semantic tableau (; plural: tableaux, also called truth tree) is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. An analytic tableau is a tree structure computed for a logical formula, having at each node a subformula of the original formula to be proved or refuted. Computation constructs this tree and uses it to prove or refute the whole formula. The tableau method can also determine the satisfiability of finite sets of formulas of various logics. It is the most popular proof procedure for modal logics (Girle 2000). Introduction For refutation tableaux, the objective is to show that the negation of a formula cannot be satisfied. There are rules for handling each of the usual connectives, starting with the main connective. In many cases, applying these rules causes the subtableau to divide into two. Quantifiers are instantiated. If any branch of a tableau leads to an evident contradiction, th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cognitive Analytic Therapy
Cognitive analytic therapy (CAT) is a form of psychological therapy initially developed in the United Kingdom by Anthony Ryle. This time-limited therapy was developed in the context of the UK's National Health Service with the aim of providing effective and affordable psychological treatment which could be realistically provided in a resource constrained public health system. It is distinctive due to its intensive use of reformulation, its integration of cognitive and analytic practice and its collaborative nature, involving the patient very actively in their treatment. The CAT practitioner aims to work with the patient to identify procedural sequences; chains of events, thoughts, emotions and motivations that explain how a target problem (for example self-harm) is established and maintained. In addition to the procedural sequence model, a second distinguishing feature of CAT is the use of reciprocal roles (RRs). These identify problems as occurring ''between'' people and not ''wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytical Psychology
Analytical psychology ( de , Analytische Psychologie, sometimes translated as analytic psychology and referred to as Jungian analysis) is a term coined by Carl Jung, a Swiss psychiatrist, to describe research into his new "empirical science" of the psyche. It was designed to distinguish it from Freud's psychoanalytic theories as their seven-year collaboration on psychoanalysis was drawing to an end between 1912 and 1913. (New Pathways in Psychology) The evolution of his science is contained in his monumental ''opus'', the ''The Collected Works of C. G. Jung, Collected Works'', written over sixty years of his lifetime. The history of analytical psychology is intimately linked with the biography of Jung. At the start, it was known as the "Zurich school", whose chief figures were Eugen Bleuler, Franz Riklin, Alphonse Maeder and Jung, all centred in the Burghölzli hospital in Zurich. It was initially a theory concerning psychological complexes until Jung, upon breaking with Sigmu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Postanalytic Philosophy
Postanalytic philosophy describes a detachment from the mainstream philosophical movement of analytic philosophy, which is the predominant school of thought in English-speaking countries. The ''Internet Encyclopedia of Philosophy'' defines the movement as denoting "philosophers who owe much to Analytic philosophy but who think that they have made some significant departure from it." The movement cannot be unified into a single positive project as it is defined it terms of what it stands against, although it has generally been seen as bridging the gap between analytic and continental philosophy. Postanalytic philosophy derives mainly from contemporary American thought, especially from the works of philosophers Richard Rorty, Donald Davidson, Hilary Putnam, W. V. O. Quine, and Stanley Cavell. The term is closely associated with the much broader movement of contemporary American pragmatism, which advocates a detachment from the context-invariant variety of 'objective truth' promulga ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytical Thomism
Analytical Thomism is a philosophical movement which promotes the interchange of ideas between the thought of Thomas Aquinas (including the philosophy carried on in relation to his thinking, called 'Thomism'), and modern analytic philosophy. Scottish philosopher John Haldane first coined the term in the early 1990s and has since been one of the movement's leading proponents. According to Haldane, "analytical Thomism involves the bringing into mutual relationship of the styles and preoccupations of recent English-speaking philosophy and the ideas and concerns shared by St Thomas and his followers". History 19th century—World War The modern revival of Aquinas's thought can be traced to the work of mid-19th Century thomists, such as Tommaso Maria Zigliara, Josef Kleutgen, Gaetano Sanseverino, and Giovanni Maria Cornoldi. This movement received an enormous impetus by Pope Leo XIII's encyclical ''Aeterni Patris'' of 1879. In the first half of the twentieth century, Edouard Hug ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Proposition
Generally speaking, analytic (from el, ἀναλυτικός, ''analytikos'') refers to the "having the ability to analyze" or "division into elements or principles". Analytic or analytical can also have the following meanings: Chemistry * Analytical chemistry, the analysis of material samples to learn their chemical composition and structure * Analytical technique, a method that is used to determine the concentration of a chemical compound or chemical element * Analytical concentration Mathematics * Abstract analytic number theory, the application of ideas and techniques from analytic number theory to other mathematical fields * Analytic combinatorics, a branch of combinatorics that describes combinatorial classes using generating functions * Analytic element method, a numerical method used to solve partial differential equations * Analytic expression or analytic solution, a mathematical expression using well-known operations that lend themselves readily to calculation * An ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Philosophy
Analytic philosophy is a branch and tradition of philosophy using analysis, popular in the Western world and particularly the Anglosphere, which began around the turn of the 20th century in the contemporary era in the United Kingdom, United States, Canada, Australia, New Zealand, and Scandinavia, and continues today. Analytic philosophy is often contrasted with continental philosophy, coined as a catch-all term for other methods prominent in Europe. Central figures in this historical development of analytic philosophy are Gottlob Frege, Bertrand Russell, G. E. Moore, and Ludwig Wittgenstein. Other important figures in its history include the logical positivists (particularly Rudolf Carnap), W. V. O. Quine, and Karl Popper. After the decline of logical positivism, Saul Kripke, David Lewis, and others led a revival in metaphysics. Elizabeth Anscombe, Peter Geach, Anthony Kenny and others brought analytic approach to Thomism. Analytic philosophy is characterized by an empha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytical Ultracentrifugation
Analytical ultracentrifugation is an analytical technique which combines an ultracentrifuge with optical monitoring systems. In an analytical ultracentrifuge (commonly abbreviated as AUC), a sample’s sedimentation profile is monitored in real time by an optical detection system. The sample is detected via ultraviolet light absorption and/or interference optical refractive index sensitive system, monitored by light-sensitive diode array or by film in the older machines. The operator can thus observe the change of sample concentration versus the axis of the rotation profile with time as a result of the applied centrifugal field. With modern instrumentation, these observations are electronically digitized and stored for further mathematical analysis. The information that can be obtained from an analytical ultracentrifuge includes the gross shape of macromolecules, conformational changes in macromolecules, and size distributions of macromolecules. With AUC it is possible to gain inf ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytical Ultracentrifuge
An ultracentrifuge is a centrifuge optimized for spinning a rotor at very high speeds, capable of generating acceleration as high as (approx. ). There are two kinds of ultracentrifuges, the preparative and the analytical ultracentrifuge. Both classes of instruments find important uses in molecular biology, biochemistry, and polymer science.Susan R. Mikkelsen & Eduardo Cortón. Bioanalytical Chemistry, Ch. 13. Centrifugation Methods. John Wiley & Sons, Mar 4, 2004, pp. 247-267. History In 1924 Theodor Svedberg built a centrifuge capable of generating 7,000 g (at 12,000 rpm), and called it the ultracentrifuge, to juxtapose it with the Ultramicroscope that had been developed previously. In 1925-1926 Svedberg constructed a new ultracentrifuge that permitted fields up to 100,000 g (42,000 rpm). Modern ultracentrifuges are typically classified as allowing greater than 100,000 g. Svedberg won the Nobel Prize in Chemistry in 1926 for his research on colloids and proteins using the ultrace ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytical Balance
An analytical balance (or chemical ''balance'') is a class of balance designed to measure small mass in the sub-milligram range. The measuring pan of an analytical balance (0.1 mg resolution or better) is inside a transparent enclosure with doors so that dust does not collect and so any air currents in the room do not affect the balance's operation. This enclosure is often called a draft shield. The use of a mechanically vented balance safety enclosure, which has uniquely designed acrylic airfoils, allows a smooth turbulence-free airflow that prevents balance fluctuation and the measure of mass down to 1 μg without fluctuations or loss of product. Also, the sample must be at room temperature to prevent natural convection from forming air currents inside the enclosure from causing an error in reading. Single pan mechanical substitution balance is a method of maintaining consistent response throughout the useful capacity of the balance. This is achieved by maintaining a constant ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytical Mechanics
In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related alternative formulations of classical mechanics. It was developed by many scientists and mathematicians during the 18th century and onward, after Newtonian mechanics. Since Newtonian mechanics considers vector quantities of motion, particularly accelerations, momenta, forces, of the constituents of the system, an alternative name for the mechanics governed by Newton's laws and Euler's laws is ''vectorial mechanics''. By contrast, analytical mechanics uses '' scalar'' properties of motion representing the system as a whole—usually its total kinetic energy and potential energy—not Newton's vectorial forces of individual particles. A scalar is a quantity, whereas a vector is represented by quantity and direction. The equations of motion are derived from the scalar quantity by some underlying principle about the scalar's variation. Analytical mec ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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