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...[agreed]], definition of the term "discrete mathematics." Indeed, discrete mathematics is described less by what is included than by what is excluded: continuousl ...finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to [[busines

Plural of obsolete ''mathematic''‘mathematics,’ from Old French ''mathematique'', from [[Latin]] ''(ars) mathematica'' ...lied to other [[disciplines]] such as [[physics]] and engineering (applied mathematics).

...tly concerned with abstract [[formal systems]], for instance, [[logic]], [[mathematics]], and the theoretical branches of [[computer science]], [[information theo ...[[Imperial College London]] and [[Tokyo University]], their Department of mathematics/statistics run under the faculty of natural science/science.

In [[mathematics]], specifically [https://en.wikipedia.org/wiki/Projective_geometry projecti ...Pisanski, T. (2000), "Counting symmetric configurations", Discrete Applied Mathematics 99 (1–3): 331–338, doi:10.1016/S0166-218X(99)00143-2 .

In [[mathematics]] and in [[the sciences]], a formula (plural: formulae, formulæ or formula In mathematics, a formula is a key to solve an equation with variables. For example, the p

*1: a branch of [[mathematics]] dealing with the collection, [[analysis]], [[interpretation]], and presen ...ally considered a distinct mathematical science rather than as a branch of mathematics. Some tasks a statistician may involve are less mathematical; for example,

An [[academic]] and [[applied science|applied]] field involving the study of [[behavior]] and mental processes. Study of abstract [[formal systems]],i.e. [[logic]], [[mathematics]], & theoretical [[computer science]], [[information theory]], & [[statisti

In [[mathematics]], connectedness is used to refer to various properties [[meaning]], in som ...joined by a path. This definition is equivalent to the topological one, as applied to graphs, but it is easier to deal with in the [[context]] of [https://en.

==Mathematics== In [[mathematics]], a '''lattice''' is a partially ordered set (also called a ''poset'') in

...the principles and laws set down by the field. Physics relies heavily on [[mathematics]] as the logical framework for formulation and quantification of principles ...diverse studies as [[quantum mechanics]] and [[theoretical physics]] to [[applied physics]] and [[optics]]. Modern physics is becoming increasingly specializ

In [[mathematics]], especially [[geometry]], a '''ratio''' expresses the magnitude of [[quan ...er sources. The Pythagoreans developed a theory of ratio and proportion as applied to numbers.[9] The Pythagoreans' conception of number included only what wo

*4 a : any of the [[numbers]] or [[symbols]] in [[mathematics]] that when multiplied together form a product; also : a number or symbol t ...ences]], marketing, product management, operations [[research]], and other applied sciences that deal with large [[quantities]] of [[data]].[https://en.wikipe

== Mathematics == ...nd stochastic, integral measures describing fractal properties can also be applied to natural "fractals". Examples of such are coast lines and tree shapes, w

...sts independently of observers, whether in [[philosophy]] itself or in the applied [[arts]] and [[sciences]]. In this broad sense it is frequently contrasted .../wiki/Mathematical_realism Mathematical realism] a branch of philosophy of mathematics.[https://en.wikipedia.org/wiki/Realism]

...ly arbitrary. With no end to measure against, there can be no [[standard]] applied to [[choice]]s, so all decisions are alike. Note that arbitrary or [[random ==Mathematics==

'''Information theory''' is a discipline in [[applied mathematics]] involving the quantification of data with the goal of enabling as much da ...el coding]] (e.g. for [[DSL]] lines). The field is at the crossroads of [[mathematics]], [[statistics]], [[computer science]], [[physics]], [[neurobiology]], and

The term is also applied by Westerners to other religions, but in inconsistent ways: for example, in ==Mathematics==

...in probability theory, that is used extensively in such areas of study as mathematics, [[statistics]], [[finance]], gambling, science, and philosophy to draw con ...century, the term 'probable' (Latin probabilis) meant approvable, and was applied in that sense, univocally, to opinion and to action. A probable action or o

Spectrum has since been applied by [[analogy]] to topics outside of optics. Thus, one might talk about the ...have a unifying theme, but they led to [[modern]] ones. Modern usages in [[mathematics]] did evolve from a unifying theme, but this may be difficult to recognize.

...ideas about [[universal proposition|universal]] [[knowledge]] claims in [[mathematics]], [[astronomy]], [[natural philosophy]], [[music]], and many other subject ...ct disciplines for these sciences, and their separation from philosophy: [[mathematics]] became a specialized science in the ancient world, and "natural philosoph

...sheep in ten minutes, ten men could shear it in one minute. That is sound mathematics, but it is not true, for the ten men could not so do it; they would get in 133:5.6 [[Mathematics]] asserts that, if one person stands for a certain [[unit]] of [[intellectu

...ause all [[ability]] test scores tend to be correlated. Aptitude is better applied intra-individually to [[determine]] what tasks a given individual is [[rela ...oth on [[innate]] mathematical [[ability]] and [[education]] received in [[mathematics]].[https://en.wikipedia.org/wiki/Aptitude]

...dy human behavior and society, and from the [[formal science]]s, such as [[mathematics]] and [[logic]], which use a different [[methodology]]. ...and from the [[humanities]], [[theology]] and the [[art]]s on the other. [[Mathematics]], [[statistics]] and [[computer science]] are not considered natural scien

...part [[Event (philosophy)|event]]s occur. However, these measurements are applied by our minds to categorize what we sense and are not an inherent part of th ==In mathematics==

...rous deduction. In [[formal]] [[axiomatic]] [[systems]] of [[logic]] and [[mathematics]], a proof is a [[finite]] sequence of well developed [[formulas]] (generat :10. a. A standard of strength of distilled alcoholic liquors; applied to or denoting liquor of this strength; the relative strength (usually meas

...white and black [[magic]]. And as [[religion]] evolved, magic was the term applied to [[spirit]] operations outside one's own [[cult]], and it also referred t ...s], while [[belief]] in [[magic]] [[numbers]] founded the [[science]] of [[mathematics]].

...milar geographical concept. Later, the term Mesopotamia was more generally applied to all the lands between the Euphrates and the [https://en.wikipedia.org/wi ...planting of the first cereal crops and the development of cursive script, Mathematics, Astronomy and Agriculture." A modern [https://en.wikipedia.org/wiki/Assyri

The adjective "social" implies that the verb or noun to which it is applied is somehow more communicative, cooperative, and moderated by contact with h ...that do not include the word "social". An example is [[quasi-empiricism in mathematics]] which is sometimes labelled social constructivism by those who see it as

...ns, rigid rotations, reflections, scaling, etc.). Emmy Noether (1882–1935) applied Klein's approach to theoretical physics to establish in 1915 a famous theor

...tion]], the universal [[belief]] in the existence of a [[material]] world. Applied to the Scotch school which arose in the 18th c. in opposition to the views ...ogy absent original assumptions stemming from common sense? Particularism, applied to [[ethics]] and [[politics]], may seem to simply entrench prejudice and o

...fined here is sometimes termed [[pure science]] to differentiate it from [[applied science]], which is the application of scientific research to specific huma [[Mathematics]], which is sometimes classified within a third group of science called [[f

...first IQ tests, [https://en.wikipedia.org/wiki/Alfred_Binet Alfred Binet], applied the term, to the top .1% of those tested.[2][3] This usage of the term is c ...he most frequent value. Quetelet [[discovered]] that the bell-shaped curve applied to social [[statistics]] gathered by the French government in the course of

The tin is applied because silver will not bond with the glass. The activator causes the tin/s ...eflectivities of 90–95% when new. A protective transparent overcoat may be applied to prevent oxidation of the reflective layer. Applications requiring higher

...defined here is sometimes termed 'pure science' to differentiate it from [[applied science]], which is the application of scientific research to specific huma [[Mathematics]], which is sometimes classified within a third group of science called [[f

...] the word ''αναλογια'' (''analogia'') originally meant [[Proportionality (mathematics)|proportionality]], in the mathematical sense, and it was indeed sometimes ...n]] stating as a premise a (previously hidden) universal proposition which applied both to the source and the target. In this view, instead of an argument wit

...called the eccentricity. Even in the case of two foci, the described set, applied on a single focus-directrix combination, is the whole conic section. [[Category: Mathematics]]

...solely on foundational issues, and the study of several resulting areas of mathematics came to be called [[mathematical logic]]. "Occidental mathematics has in past centuries broken away from the Greek view and followed a course

In [[mathematics]], a '''matrix''' (plural matrices, or less commonly matrixes) is a rectang ...a long history of application in solving [[linear equations]]. The Chinese mathematics [[text]] from between 300 BC and AD 200, ''[[The Nine Chapters on the Mathe

...ss and refine the principles of self-regulating devices. Jakob von Uexküll applied the feedback mechanism via his model of functional cycle (Funktionskreis) i ...on S. Brown to develop electronic control systems for the U.S. Navy, later applied these ideas to social organizations such as corporations and cities as an o

...ial. A free [[electron]] becomes sufficiently accelerated by an externally applied electrical field that it frees up additional electrons as it collides with [[Category: Mathematics]]

...''turologist'', ''flow-charts-man'', ''applied meta-mathematician'', and ''applied epistemologist'' Communications of the ACM 1(4):p.6. Three months later in ...er science is considered by some to have a much closer relationship with [[mathematics]] than many scientific disciplines<ref name="Denning_cs_discipline" />. Ear

...[Logic]]. For a technical treatment of deduction as it is understood in [[mathematics]], see [[mathematical logic]]. ...avity]]. In the 19th century, [[Discovery of Neptune|Adams and LeVerrier]] applied Newton's theory (general principle) to deduce the existence, [[mass]], posi

...entered the interdenominational Luitpold Gymnasium, where he excelled in [[mathematics]] and [[Latin]]. ...s Federal Polytechnic School (ETH) in Zurich, where he studied physics and mathematics and graduated in 1900. Unable to find a regular academic position, he suppo

...d then, secondly, the selection of any of your other qualities that may be applied at any time for self advancement. All too often one will continually rearra ...integrity is the understanding of your current level of accomplishment in mathematics. You apply your current skill in a useful manner in the current moment when

...o working disciplines in the [[natural sciences]], [[applied sciences]], [[mathematics]] or [[engineering]]. Critics argue that intellectuals in these fields may

...[[biochemistry]], the term ''molecule'' is used less strictly and also is applied to charged [[organic compound|organic molecules]] and [[biomolecule]]s. ...are composed of repeating [[unit cell]]s that extend either in a [[Plane (mathematics)|plane]] (such as in [[graphite]]) or three-dimensionally (such as in [[dia

...tars, planets and [[life]] to exist. The anthropic principle could then be applied to conclude that we would only consciously exist in those universes which w ...1,, G. F. R. Ellis, and U. Kirchner. Department of Mathematics and Applied Mathematics, University of Cape Town; Vatican Observatory Research Group, Steward Obser

...the rules of proper inference, i.e. the formal rules that, when correctly applied to true premises, lead to true conclusions. [[Aristotle]] has given one of ...artificial is because they are rarely encountered outside fields such as [[mathematics]]. Most of our everyday reasoning is of a less "pure" nature.

...Kolmogorov complexity was further developed in the book (Burgin 2005) and applied to software metrics (Burgin and Debnath, 2003; Debnath and Burgin, 2003). *In mathematics, Krohn-Rhodes complexity is an important topic in the study of finite semig

...spheres of Havona are moving in space around Paradise. It could also have applied to life in Havona, because even in First-Age Havona finite beings were pres ...the statements that are made in this connection, and if we reduce them to mathematics, the results will be somewhat shocking. Let us accordingly examine these st

...w about it, does not mean it’s not there. Many geniuses ([[physics]] and [[mathematics|mathematicians]]) have expressed their understanding and admiration of some ...se]] that shine through many [[science]]s and can unlock many mysteries if applied correctly.

In [[ancient philosophy]], there was no difference between [[mathematics]] and the study of [[history]], [[poetry]] or [[politics]]. Only with the d ...rinciples of the Distribution of Wealth Most Conducive to Human Happiness; applied to the Newly Proposed System of Voluntary Equality of Wealth'' by [[William

...same time lack "external validity" when the results of the experiment are applied to a real world situation. One of the reasons why this may happen is the [[ : "Today's [[scientist]]s have substituted [[mathematics]] for experiments, and they wander off through [[equation]] after equation,

...is a driving [[motive]], curiosity, for [[discovery]] in [[science]] and [[mathematics]]. ...on to [[evolution]], where, according to theory, (non-random) selection is applied to the results of random genetic variation.

In [[mathematics]], [[Computer Science|computing]], [[linguistics]] and related subjects, an [[Al-Khwārizmī]], Persian [[astronomy|astronomer]] and [[mathematics|mathematician]], wrote a treatise in 825 AD, ''On Calculation with Hindu Nu

...sorry if I did not address that specifically. I thought that my [[words]] applied in that [[direction]], however I will be glad to get more specific. Isaac i Do not think that teaching [[mathematics]] for example, is wasted [[effort]], for indeed all [[universe citizens]] m

You have in your upbringing learned the [[law]]s of [[mathematics]]. In so doing you have come to be proficient in such [[technique]]s as add ...broken into particular [[steps]]. But the time comes when the backhand is applied [[spontaneous]]ly with [[skill]]. You do not note the [[moment]] of change.

:*The deductive and inductive procedures, applied to the sentences, produce the inferences. ...imilar in that they consist of bundles of features that can be matched and applied to new situations. The explanatory schema used in concept-based systems is:

...out that Egypt was an African culture whose achievements in [[science]], [[mathematics]], [[architecture]], and [[philosophy]] provided a basis for Greek civiliza ...y must grow in terms of the philosophical work carried out by Africans and applied to (perhaps not exclusively) African concerns. This view would be the most

...certain abstract concepts are used for handling physical reality, such as mathematics and geometry, then on into certain kinds of sociology, then as well for app ...gs. And as useful and necessary as pure abstract thought is in realms like mathematics and geometry and science, it is only so when directed toward understanding

Later in the West, the success of [[science]], [[mathematics]], and other [[formal system]]s in the 20th century led many to attempt a f Mathematics and [[computer science]] use artificial entities called formal languages (i

...at classroom and begin reading. There would be a classroom for beginning [[mathematics]], arithmetic, and so on. And there may be children in the basic reading wh ...es a [[language]] for understanding the universe. And for their societies, mathematics becomes a medium for understanding social concepts, for understanding [[sta

...sopher, and cult counseler who has developed his own version of [[Integral mathematics]]. ...h method ([[co-operative inquiry]]) in the social sciences, which has been applied by practitioners in many fields of professional and personal development. H

...ly, intimately associated and concerned about these policies, for they are applied differently for different species, yet in the end those adaptations all wor ...death, yet they are learning how to paint, how to develop new theorems of mathematics, who are working on new theorems of physics, who are learning how to work m

...get in one another's way so badly that the work would be greatly delayed. Mathematics asserts that, if one person stands for a certain unit of intellectual and m

...(1561-1626) and [[René Descartes]] (1596-1650), who demanded more rigor in mathematics and in removing bias from scientific observations, led to a [[scientific re ...ure of chemical substances is set by the [[International Union of Pure and Applied Chemistry]] (IUPAC). There are well-defined systems in place for naming che

..., and so on. The planning of towns, cities, and rural areas may be seen as applied geography. ...on the [[information]]. They must learn [[geodesy]] and fairly advanced [[mathematics]] to understand how the shape of the Earth affects the distortion of map sy

...dge. It is based on gathering [[observable]], [[empirical]] and [[Measure (mathematics)|measurable]] [[evidence]] subject to specific principles of [[reasoning]], The essential elements of a scientific method are [[operation (mathematics)|operation]]s, [[observation]]s, [[scientific modeling|model]]s, and a [[ut

...in their early stages—from pottery, mining, and metallurgy to medicine and mathematics. The secret transmission of methods, tools, and recipes is abundantly docum ...atPage 237 | Top of Article he recognizes as most essential in himself—his applied intelligence and his capacity for work—modern man takes upon himself the

81:6.10 [[Science]] teaches man to speak the new [[language]] of [[mathematics]] and trains his [[thoughts]] along lines of exacting [[precision]]. And sc 81:6.21 In the early days the only [[energy]] applied to [[land]] cultivation was man power. It was a long [[struggle]] to substi

...ontext in user interactions or larger databases. The term is most commonly applied to Web development, but also applies to disciplines outside of a strict Web ...re continual reconsideration of ethical principles and how these codes are applied. Considerations regarding information ethics influence personal decisions,

[[mathematics]] involved. It would be absolutely impossible to [[explain]] to the [[morta ...ll be the controlling [[influence]] on how and when the broadcasts will be applied

...eologies are systems of abstract thought (as opposed to mere [[idea]]tion) applied to public matters and thus make this concept central to politics. Implicitl ...uistics|Linguist]] [[George Lakoff]] has proposed a [[cognitive science of mathematics]] wherein even the most fundamental ideas of arithmetic would be seen as co

...oscopic] estimations of [[astronomic]] velocities are fairly reliable when applied to the starry realms belonging to your [[superuniverse]] and its associate ...le additive [[consequences]] of such [[union]]s. The entire [[science]] of mathematics, the whole domain of [[philosophy]], the highest [[physics]] or [[chemistry

...white and black [[magic]]. And as [[religion]] evolved, magic was the term applied to [[spirit]] operations outside one's own [[cult]], and it also referred t ...s], while [[belief]] in [[magic]] [[numbers]] founded the [[science]] of [[mathematics]].

...rification'' (where the idea is consciously verified, elaborated, and then applied). ==Psychological examples from science and mathematics==

...at the greatest efforts of Christ Michael and his Administration are being applied, and similarly to other planets in the quarantine, who are now coming out o ...ey express a oneness, even your [[physics]] will come into that, as will [[mathematics]]. You will find a oneness of [[belief]] that generates wholeness, and the

...he difference between GMT and chronometer time is carefully determined and applied as a correction to all chronometer readings.[10] Spring-driven chronometers [[Category: Mathematics]]

...this could be found by looking at a bomb dropping from the air. Through [[mathematics]], we can predict the time the bomb will take to reach the ground, and we a ...ther challenges to Newtonian physics, "uncertainty" was always a term that applied to the accuracy of human knowledge about causes and effects, and not to the

...ignorance. You say, "Ah ha, well of course!" Truly, education, consciously applied is meant to overcome ignorance along with prejudice, bias, bigotry, and hos ...education. One might be a brick mason and yet hold a degree in physics or mathematics, or be a grocer and be well educated in education. Societies in their educa

...tive policeman work. This work must be done with forethought and care, and applied with the culture and the people and the religions of those countries in con The discoveries of zero-point energy likewise are hidden in the mathematics of your theoreticians, those individuals who have gone to the drawing board

...really not a factual reality, but it certainly is a valid concept and our mathematics would do very badly without it. ...love for his creatures; the Son is the source of mercy, and mercy is love applied; the Spirit is the fountainhead of ministry, and ministry is mercy in actio

...m]], for both of these [[systems]] of [[thinking]], when [[universally]] [[applied]], are compelled to view the [[cosmos]] in [[distortion]], the former conta ...[[Ascension Career|Paradise-ascension]] experience. The approximations of mathematics and the certainties of insight will always require the harmonizing function

...sheep in ten minutes, ten men could shear it in one minute. That is sound mathematics, but it is not true, for the ten men could not so do it; they would get in 133:5.6 [[Mathematics]] asserts that, if one person stands for a certain [[unit]] of [[intellectu

...vestigation sets out to discover what makes the disciplines of science and mathematics possible. However, Kant turns to an analysis of human subjectivity, investi ...the notion of creativity was reformulated and the term ‘creative’ could be applied to humanity as much as to God and around this concept a whole new mode of u

...try]] (the theory of magnitude). They recognized that the theory of ratios applied equally to each field, but kept the two subjects strictly separate. Our use The general mathematics needed is called differential geometry. Differential geometry is suited to

...are online educational courses to teach remedial languages and grammar and mathematics, there must be an online educational process to teach remedial medical trea ...le has a tremendous impact on every planet that has ever discovered it and applied its uses. Further, this will also inaugurate an era where there is no goin

...orically been addressed in a number of discrete [[discipline]]s, notably [[mathematics]], [[physics]], [[chemistry]], [[ethics]], [[aesthetics]], [[ontology]] and ...designates as a perfectly rigid body, one that "is not deformed by forces applied to it." He uses the concept in the full awareness that this is a fictitious

The term ''atheism'' originated as a pejorative epithet applied to any person or belief in conflict with established religion. With the spr ...s from saying that we know anything whatever, except perhaps the truths of mathematics and formal logic."[https://plato.stanford.edu/entries/atheism-agnosticism/]

information to a few in the field of mathematics and physics on earth (Urantia). So that the average man who does not do things like advanced mathematics and sociological

...marketplace of learning experiences, and they will be readily received and applied by people who will be hungry to do so. The situation is a perfect storm fo ...ing new scales and musical processes. The same can be said for poetry and mathematics, and for any of the other arts, and that of philosophy as well.

...heres is still subordinated variously and often concurrently to reason, to mathematics and philosophy, to objects and forms, to the ‘real’ and the eternal, to ...onstancy refers to a self instructed by the works of a culture that it has applied to itself.” (Ricoeur 1985, p. 246-7)

81:6.10 [[Science]] teaches man to speak the new [[language]] of [[mathematics]] and trains his [[thoughts]] along lines of exacting [[precision]]. And sc 81:6.21 In the early days the only [[energy]] applied to [[land]] cultivation was man power. It was a long [[struggle]] to substi

Dr. Neruda: "They have encoded the discovery of language, mathematics, music, and so forth into our genetic structures. As we evolve, certain for ...ere was dust, but only dust. And something like a polymer coating had been applied to every square centimeter of the structure including the ceilings.

...superior. ([[84:1.9|p 932d]]) As I see it they can produce [[morontia]] [[mathematics]]: the equivalent of four times the work. Of which they have surely proven. ...e can suggest some more ways that this new [[energy]] can be so fruitfully applied. Yes you can extend this [[power]] to your life by using it more widely.

mathematics, and thirty-five to medicine and the natural sciences. As someone paideia, including mathematics, astronomy, philosophy and medicine. His scholarly

spiritual highlight in the Supreme. Those who know mathematics know this to permutations, and In this instance I see that the Ultimacy speech is well applied and I continue.

...he meaning of the term ‘harmony’ that changed but the material to which it applied and the explanations given for its manifestation in music. ...a single ‘general state of evolution’ is a 19th-century idea that has been applied retrospectively to earlier times. Theatrical style was in reality sustained

...pplied increasingly to intellectual effort while the concept of leisure is applied to pure spirit development, but there will come the day of widespread reali Music in its power, while based upon mathematics, is similar to the experience of faith, for it harmonizes and fills with a