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Symmetry

Index Symmetry

Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. [1]

200 relations: A minor, Ablex Publishing, Abstract algebra, Abstract and concrete, Additive rhythm and divisive rhythm, Aesthetics, Alban Berg, Alexander Scriabin, Alhambra, Ambiguity, Ancient Greek, Annals of Mathematics, Arch form, Architecture, Aristotle, Art, Asymmetry, Augmented triad, Automorphism, Batik, Béla Bartók, Beadwork, Beowulf, Bilateria, Binary relation, Burnside's lemma, C major, Calculus, Carpet, Cathedral, Cephalization, Chemical synthesis, Chemistry, Chinese people, Chirality (chemistry), Chirality (mathematics), Chord (music), Chord progression, Christopher T. Hill, Continuous symmetry, Crinoid, Crystal, Crystallography, D minor, Dialogue, Diatonic function, Diatonic scale, Discrete symmetry, Drug, E minor, ..., Echinoderm, Edgard Varèse, Embroidery, Empathy, Enharmonic, Equation, Ernest Hecht, Even and odd functions, Exclusive or, F major, Fixed points of isometry groups in Euclidean space, Floor plan, Fractal, Furniture, G major, Galois group, Galois theory, Game theory, General covariance, Geometric transformation, Geometry, George Perle, Glide reflection, Golden Rule, Group (mathematics), Group theory, Gustav Mahler, If and only if, Ikat, Improper rotation, International Style (architecture), Interval (music), Interval cycle, Invariant (physics), Inversion (music), Islam, Isotropy, James Tenney, Judgement, Justice, Key (music), Knot, Knowledge, Language, Leon M. Lederman, Linear algebra, Literature, Local symmetry, Logical biconditional, Logical conjunction, Logical connective, Logical disjunction, Logical NOR, M. C. Escher, Major chord, Mario Livio, Mask, Mathematical object, Mathematics, Modern architecture, Molecular symmetry, Molecule, Morality, Mosaic, Motif (visual arts), Music, Musical form, Musical instrument, Nature, Navajo, Noether's theorem, Online Etymology Dictionary, Operation (mathematics), Oriental rug, Outline of physical science, Palindrome, Permutation (music), Philip Warren Anderson, Pitch (music), Pitch class, Polyomino, Potter's wheel, Quantum chemistry, Quilt, Reciprocity (social psychology), Rectangle, Reflection (mathematics), Reflection symmetry, Reflective equilibrium, Remorse, Revenge, Richard Wagner, Romantic music, Rotation (mathematics), Rotational symmetry, Sagittal plane, Sandpainting, Scale (music), Scaling (geometry), Science, Science (journal), Scientific modelling, Screw axis, Sea anemone, Sea urchin, Set theory (music), Seventh chord, Sheffer stroke, Sheikh Lotfollah Mosque, Side effect, Skewness, Space, Spacetime, Spacetime symmetries, Spectroscopy, Spontaneous symmetry breaking, Springer Science+Business Media, Starfish, Statistics, Steve Reich, Supersymmetry, Symmetric game, Symmetric group, Symmetric matrix, Symmetric probability distribution, Symmetric relation, Symmetric scale, Symmetry (geometry), Symmetry group, Symmetry in biology, Symmetry-breaking constraints, Sympathy, Taj Mahal, Tessellation, Textile, Theoretical physics, Tile, Time, Tit for tat, Tonality, Tone row, Tonic (music), Translation (geometry), Translational symmetry, Twelve-tone technique, Wallpaper, Wallpaper group, White House, Whole tone scale, Wigner's classification. Expand index (150 more) »

A minor

A minor is a minor scale based on A, with the pitches A, B, C, D, E, F, and G. Its key signature has no flats and no sharps.

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Ablex Publishing

Ablex Publishing Corporation is a privately held book publisher and academic journal publisher in New York City, New York, USA.

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Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

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Abstract and concrete

Abstract and concrete are classifications that denote whether a term describes an object with a physical referent or one with no physical referents.

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Additive rhythm and divisive rhythm

In music, the terms additive and divisive are used to distinguish two types of both rhythm and meter.

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Aesthetics

Aesthetics (also spelled esthetics) is a branch of philosophy that explores the nature of art, beauty, and taste, with the creation and appreciation of beauty.

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Alban Berg

Alban Maria Johannes Berg (February 9, 1885 – December 24, 1935) was an Austrian composer of the Second Viennese School.

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Alexander Scriabin

Alexander Nikolayevich Scriabin (Алекса́ндр Никола́евич Скря́бин; –) was a Russian composer and pianist.

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Alhambra

The Alhambra (الْحَمْرَاء, Al-Ḥamrā, lit. "The Red One",The "Al-" in "Alhambra" means "the" in Arabic, but this is ignored in general usage in both English and Spanish, where the name is normally given the definite articleالْحَمْرَاء, trans.; literally "the red one", feminine; in colloquial Arabic: the complete Arabic form of which was Qalat Al-Hamra)الْقَلْعَةُ ٱلْحَمْرَاءُ, trans.

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Ambiguity

Ambiguity is a type of meaning in which several interpretations are plausible.

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Ancient Greek

The Ancient Greek language includes the forms of Greek used in ancient Greece and the ancient world from around the 9th century BC to the 6th century AD.

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Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

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Arch form

In music, arch form is a sectional structure for a piece of music based on repetition, in reverse order, of all or most musical sections such that the overall form is symmetric, most often around a central movement.

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Architecture

Architecture is both the process and the product of planning, designing, and constructing buildings or any other structures.

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Aristotle

Aristotle (Ἀριστοτέλης Aristotélēs,; 384–322 BC) was an ancient Greek philosopher and scientist born in the city of Stagira, Chalkidiki, in the north of Classical Greece.

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Art

Art is a diverse range of human activities in creating visual, auditory or performing artifacts (artworks), expressing the author's imaginative, conceptual idea, or technical skill, intended to be appreciated for their beauty or emotional power.

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Asymmetry

Asymmetry is the absence of, or a violation of, symmetry (the property of an object being invariant to a transformation, such as reflection).

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Augmented triad

An augmented triad is a chord, made up of two major thirds (an augmented fifth).

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Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

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Batik

Batik (Javanese: ꦧꦠꦶꦏ꧀) is a technique of wax-resist dyeing applied to whole cloth, or cloth made using this technique originated from Indonesia.

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Béla Bartók

Béla Viktor János Bartók (25 March 1881 – 26 September 1945) was a Hungarian composer, pianist and an ethnomusicologist.

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Beadwork

Beadwork is the art or craft of attaching beads to one another by stringing them with a sewing needle or beading needle and thread or thin wire, or sewing them to cloth.

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Beowulf

Beowulf is an Old English epic story consisting of 3,182 alliterative lines.

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Bilateria

The Bilateria or bilaterians, or triploblasts, are animals with bilateral symmetry, i.e., they have a head (anterior) and a tail (posterior) as well as a back (dorsal) and a belly (ventral); therefore they also have a left side and a right side.

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Binary relation

In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.

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Burnside's lemma

Burnside's lemma, sometimes also called Burnside's counting theorem, the Cauchy–Frobenius lemma or the orbit-counting theorem, is a result in group theory which is often useful in taking account of symmetry when counting mathematical objects.

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C major

C major (or the key of C) is a major scale based on C, with the pitches C, D, E, F, G, A, and B. C major is one of the most common key signatures used in western music.

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Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

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Carpet

A carpet is a textile floor covering typically consisting of an upper layer of pile attached to a backing.

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Cathedral

A cathedral is a Christian church which contains the seat of a bishop, thus serving as the central church of a diocese, conference, or episcopate.

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Cephalization

Cephalization is an evolutionary trend in which, over many generations, the mouth, sense organs, and nerve ganglia become concentrated at the front end of an animal, producing a head region.

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Chemical synthesis

Chemical synthesis is a purposeful execution of chemical reactions to obtain a product, or several products.

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Chemistry

Chemistry is the scientific discipline involved with compounds composed of atoms, i.e. elements, and molecules, i.e. combinations of atoms: their composition, structure, properties, behavior and the changes they undergo during a reaction with other compounds.

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Chinese people

Chinese people are the various individuals or ethnic groups associated with China, usually through ancestry, ethnicity, nationality, citizenship or other affiliation.

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Chirality (chemistry)

Chirality is a geometric property of some molecules and ions.

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Chirality (mathematics)

In geometry, a figure is chiral (and said to have chirality) if it is not identical to its mirror image, or, more precisely, if it cannot be mapped to its mirror image by rotations and translations alone.

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Chord (music)

A chord, in music, is any harmonic set of pitches consisting of two or more (usually three or more) notes (also called "pitches") that are heard as if sounding simultaneously.

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Chord progression

A chord progression or harmonic progression is a succession of musical chords, which are two or more notes, typically sounded simultaneously.

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Christopher T. Hill

Christopher T. Hill (born June 9, 1951) is an American theoretical physicist at the Fermi National Accelerator Laboratory.

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Continuous symmetry

In mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions, as opposed to discrete symmetry, e.g. reflection symmetry, which is invariant under a kind of flip from one state to another.

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Crinoid

Crinoids are marine animals that make up the class Crinoidea of the echinoderms (phylum Echinodermata).

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Crystal

A crystal or crystalline solid is a solid material whose constituents (such as atoms, molecules, or ions) are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions.

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Crystallography

Crystallography is the experimental science of determining the arrangement of atoms in crystalline solids (see crystal structure).

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D minor

D minor is a minor scale based on D, consisting of the pitches D, E, F, G, A, flat, and C. Its key signature has one flat.

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Dialogue

Dialogue (sometimes spelled dialog in American English) is a written or spoken conversational exchange between two or more people, and a literary and theatrical form that depicts such an exchange.

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Diatonic function

In tonal music theory, a function (often called harmonic function, tonal function or diatonic function, or also chord area) is the relationship of a chord to a tonal center.

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Diatonic scale

In western music theory, a diatonic scale is a heptatonic scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole steps, depending on their position in the scale.

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Discrete symmetry

In mathematics, a discrete symmetry is a symmetry that describes non-continuous changes in a system.

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Drug

A drug is any substance (other than food that provides nutritional support) that, when inhaled, injected, smoked, consumed, absorbed via a patch on the skin, or dissolved under the tongue causes a temporary physiological (and often psychological) change in the body.

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E minor

E minor is a minor scale based on E, consisting of the pitches E, sharp, G, A, B, C, and D. Its key signature has one sharp.

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Echinoderm

Echinoderm is the common name given to any member of the phylum Echinodermata (from Ancient Greek, ἐχῖνος, echinos – "hedgehog" and δέρμα, derma – "skin") of marine animals.

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Edgard Varèse

Edgard Victor Achille Charles Varèse (also spelled Edgar Varèse;Malcolm MacDonald, Varèse, Astronomer in Sound (London, 2003), p. xi. December 22, 1883 – November 6, 1965) was a French-born composer who spent the greater part of his career in the United States.

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Embroidery

Embroidery is the craft of decorating fabric or other materials using a needle to apply thread or yarn.

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Empathy

Empathy is the capacity to understand or feel what another person is experiencing from within their frame of reference, i.e., the capacity to place oneself in another's position.

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Enharmonic

In modern musical notation and tuning, an enharmonic equivalent is a note, interval, or key signature that is equivalent to some other note, interval, or key signature but "spelled", or named differently.

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Equation

In mathematics, an equation is a statement of an equality containing one or more variables.

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Ernest Hecht

Ernest Hecht (21 September 1929 – 13 February 2018)Katherine Cowdrey,, The Bookseller, 13 February 2018.

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Even and odd functions

In mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses.

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Exclusive or

Exclusive or or exclusive disjunction is a logical operation that outputs true only when inputs differ (one is true, the other is false).

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F major

F major (or the key of F) is a major scale based on F, with the pitches F, G, A, flat, C, D, and E. Its key signature has one flat: B. Its relative minor is D minor and its parallel minor is F minor.

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Fixed points of isometry groups in Euclidean space

A fixed point of an isometry group is a point that is a fixed point for every isometry in the group.

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Floor plan

In architecture and building engineering, a floor plan is a drawing to scale, showing a view from above, of the relationships between rooms, spaces, traffic patterns, and other physical features at one level of a structure.

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Fractal

In mathematics, a fractal is an abstract object used to describe and simulate naturally occurring objects.

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Furniture

Furniture refers to movable objects intended to support various human activities such as seating (e.g., chairs, stools, and sofas), eating (tables), and sleeping (e.g., beds).

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G major

G major (or the key of G) is a major scale based on G, with the pitches G, A, B, C, D, E, and sharp.

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Galois group

In mathematics, more specifically in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.

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Galois theory

In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.

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Game theory

Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers".

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General covariance

In theoretical physics, general covariance, also known as diffeomorphism covariance or general invariance, consists of the invariance of the form of physical laws under arbitrary differentiable coordinate transformations.

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Geometric transformation

A geometric transformation is any bijection of a set having some geometric structure to itself or another such set.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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George Perle

George Perle (May 6, 1915 – January 23, 2009) was a composer and music theorist.

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Glide reflection

In 2-dimensional geometry, a glide reflection (or transflection) is a type of opposite isometry of the Euclidean plane: the composition of a reflection in a line and a translation along that line.

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Golden Rule

The Golden Rule (which can be considered a law of reciprocity in some religions) is the principle of treating others as one would wish to be treated.

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Group (mathematics)

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.

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Group theory

In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.

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Gustav Mahler

Gustav Mahler (7 July 1860 – 18 May 1911) was an Austro-Bohemian late-Romantic composer, and one of the leading conductors of his generation.

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If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

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Ikat

Ikat, or ikkat, is a dyeing technique used to pattern textiles that employs resist dyeing on the yarns prior to dyeing and weaving the fabric.

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Improper rotation

In geometry, an improper rotation,.

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International Style (architecture)

The International Style is the name of a major architectural style that developed in the 1920s and 1930s and strongly related to Modernism and Modern architecture.

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Interval (music)

In music theory, an interval is the difference between two pitches.

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Interval cycle

In music, an interval cycle is a collection of pitch classes created from a sequence of the same interval class.

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Invariant (physics)

In mathematics and theoretical physics, an invariant is a property of a system which remains unchanged under some transformation.

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Inversion (music)

There are inverted chords, inverted melodies, inverted intervals, and (in counterpoint) inverted voices.

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Islam

IslamThere are ten pronunciations of Islam in English, differing in whether the first or second syllable has the stress, whether the s is or, and whether the a is pronounced, or (when the stress is on the first syllable) (Merriam Webster).

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Isotropy

Isotropy is uniformity in all orientations; it is derived from the Greek isos (ἴσος, "equal") and tropos (τρόπος, "way").

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James Tenney

James Tenney (August 10, 1934 – August 24, 2006) was an American composer and music theorist.

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Judgement

Judgement (or judgment) is the evaluation of evidence to make a decision.

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Justice

Justice is the legal or philosophical theory by which fairness is administered.

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Key (music)

In music theory, the key of a piece is the group of pitches, or scale, that forms the basis of a music composition in classical, Western art, and Western pop music.

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Knot

A knot is a method of fastening or securing linear material such as rope by tying or interweaving.

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Knowledge

Knowledge is a familiarity, awareness, or understanding of someone or something, such as facts, information, descriptions, or skills, which is acquired through experience or education by perceiving, discovering, or learning.

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Language

Language is a system that consists of the development, acquisition, maintenance and use of complex systems of communication, particularly the human ability to do so; and a language is any specific example of such a system.

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Leon M. Lederman

Leon Max Lederman (born July 15, 1922) is an American experimental physicist who received the Wolf Prize in Physics in 1982, along with Martin Lewis Perl, for their research on quarks and leptons, and the Nobel Prize for Physics in 1988, along with Melvin Schwartz and Jack Steinberger, for their research on neutrinos.

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Linear algebra

Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

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Literature

Literature, most generically, is any body of written works.

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Local symmetry

In physics, a local symmetry is symmetry of some physical quantity, which smoothly depends on the point of the base manifold.

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Logical biconditional

In logic and mathematics, the logical biconditional (sometimes known as the material biconditional) is the logical connective of two statements asserting "P if and only if Q", where P is an antecedent and Q is a consequent.

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Logical conjunction

In logic, mathematics and linguistics, And (∧) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true.

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Logical connective

In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a symbol or word used to connect two or more sentences (of either a formal or a natural language) in a grammatically valid way, such that the value of the compound sentence produced depends only on that of the original sentences and on the meaning of the connective.

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Logical disjunction

In logic and mathematics, or is the truth-functional operator of (inclusive) disjunction, also known as alternation; the or of a set of operands is true if and only if one or more of its operands is true.

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Logical NOR

In boolean logic, logical nor or joint denial is a truth-functional operator which produces a result that is the negation of logical or.

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M. C. Escher

Maurits Cornelis Escher (17 June 1898 – 27 March 1972) was a Dutch graphic artist who made mathematically-inspired woodcuts, lithographs, and mezzotints.

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Major chord

In music theory, a major chord is a chord that has a root note, a major third above this root, and a perfect fifth above this root note.

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Mario Livio

Mario Livio (born 1945 in Bucharest) is an Israeli-American astrophysicist and an author of works that popularize science and mathematics.

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Mask

A mask is an object normally worn on the face, typically for protection, disguise, performance, or entertainment.

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Mathematical object

A mathematical object is an abstract object arising in mathematics.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Modern architecture

Modern architecture or modernist architecture is a term applied to a group of styles of architecture which emerged in the first half of the 20th century and became dominant after World War II.

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Molecular symmetry

Molecular symmetry in chemistry describes the symmetry present in molecules and the classification of molecules according to their symmetry.

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Molecule

A molecule is an electrically neutral group of two or more atoms held together by chemical bonds.

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Morality

Morality (from) is the differentiation of intentions, decisions and actions between those that are distinguished as proper and those that are improper.

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Mosaic

A mosaic is a piece of art or image made from the assemblage of small pieces of colored glass, stone, or other materials.

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Motif (visual arts)

In art and iconography, a motif is an element of an image.

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Music

Music is an art form and cultural activity whose medium is sound organized in time.

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Musical form

The term musical form (or musical architecture) refers to the overall structure or plan of a piece of music; it describes the layout of a composition as divided into sections.

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Musical instrument

A musical instrument is an instrument created or adapted to make musical sounds.

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Nature

Nature, in the broadest sense, is the natural, physical, or material world or universe.

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Navajo

The Navajo (British English: Navaho, Diné or Naabeehó) are a Native American people of the Southwestern United States.

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Noether's theorem

Noether's (first) theorem states that every differentiable symmetry of the action of a physical system has a corresponding conservation law.

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Online Etymology Dictionary

The Online Etymology Dictionary is a free online dictionary written and compiled by Douglas Harper that describes the origins of English-language words.

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Operation (mathematics)

In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.

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Oriental rug

An oriental rug is a heavy textile, made for a wide variety of utilitarian and symbolic purpose, produced in “Oriental countries” for home use, local sale, and export.

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Outline of physical science

Physical science is a branch of natural science that studies non-living systems, in contrast to life science.

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Palindrome

A palindrome is a word, number, or other sequence of characters which reads the same backward as forward, such as madam or racecar.

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Permutation (music)

In music, a permutation (order) of a set is any ordering of the elements of that set.

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Philip Warren Anderson

Philip Warren Anderson (born December 13, 1923) is an American physicist and Nobel laureate.

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Pitch (music)

Pitch is a perceptual property of sounds that allows their ordering on a frequency-related scale, or more commonly, pitch is the quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies.

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Pitch class

In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart, e.g., the pitch class C consists of the Cs in all octaves.

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Polyomino

A polyomino is a plane geometric figure formed by joining one or more equal squares edge to edge.

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Potter's wheel

In pottery, a potter's wheel is a machine used in the shaping (known as throwing) of round ceramic ware.

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Quantum chemistry

Quantum chemistry is a branch of chemistry whose primary focus is the application of quantum mechanics in physical models and experiments of chemical systems.

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Quilt

A quilt is a multi-layered textile, traditionally composed of three layers of fiber: a woven cloth top, a layer of batting or wadding, and a woven back, combined using the technique of quilting, the process of sewing the three layers together.

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Reciprocity (social psychology)

In social psychology, reciprocity is a social norm of responding to a positive action with another positive action, rewarding kind actions.

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Rectangle

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.

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Reflection (mathematics)

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.

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Reflection symmetry

Reflection symmetry, line symmetry, mirror symmetry, mirror-image symmetry, is symmetry with respect to reflection.

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Reflective equilibrium

Reflective equilibrium is a state of balance or coherence among a set of beliefs arrived at by a process of deliberative mutual adjustment among general principles and particular judgments.

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Remorse

Remorse is a distressing emotion experienced by a person who regrets actions which they deem to be shameful, hurtful, or violent.

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Revenge

Revenge is a form of justice enacted in the absence or defiance of the norms of formal law and jurisprudence.

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Richard Wagner

Wilhelm Richard Wagner (22 May 181313 February 1883) was a German composer, theatre director, polemicist, and conductor who is chiefly known for his operas (or, as some of his later works were later known, "music dramas").

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Romantic music

Romantic music is a period of Western classical music that began in the late 18th or early 19th century.

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Rotation (mathematics)

Rotation in mathematics is a concept originating in geometry.

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Rotational symmetry

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn.

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Sagittal plane

A sagittal plane or longitudinal plane is an anatomical plane which divides the body into right and left parts.

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Sandpainting

Sandpainting is the art of pouring coloured sands, and powdered pigments from minerals or crystals, or pigments from other natural or synthetic sources onto a surface to make a fixed, or unfixed sand painting.

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Scale (music)

In music theory, a scale is any set of musical notes ordered by fundamental frequency or pitch.

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Scaling (geometry)

In Euclidean geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions.

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Science

R. P. Feynman, The Feynman Lectures on Physics, Vol.1, Chaps.1,2,&3.

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Science (journal)

Science, also widely referred to as Science Magazine, is the peer-reviewed academic journal of the American Association for the Advancement of Science (AAAS) and one of the world's top academic journals.

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Scientific modelling

Scientific modelling is a scientific activity, the aim of which is to make a particular part or feature of the world easier to understand, define, quantify, visualize, or simulate by referencing it to existing and usually commonly accepted knowledge.

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Screw axis

A screw axis (helical axis or twist axis) is a line that is simultaneously the axis of rotation and the line along which translation of a body occurs.

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Sea anemone

Sea anemones are a group of marine, predatory animals of the order Actiniaria.

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Sea urchin

Sea urchins or urchins are typically spiny, globular animals, echinoderms in the class Echinoidea.

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Set theory (music)

Musical set theory provides concepts for categorizing musical objects and describing their relationships.

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Seventh chord

A seventh chord is a chord consisting of a triad plus a note forming an interval of a seventh above the chord's root.

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Sheffer stroke

In Boolean functions and propositional calculus, the Sheffer stroke, named after Henry M. Sheffer, written ↑, also written | (not to be confused with "||", which is often used to represent disjunction), or Dpq (in Bocheński notation), denotes a logical operation that is equivalent to the negation of the conjunction operation, expressed in ordinary language as "not both".

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Sheikh Lotfollah Mosque

Sheikh Lotfollah Mosque (مسجد شیخ لطف الله) is one of the architectural masterpieces of Iranian architecture that was built during the Safavid Empire, standing on the eastern side of Naghsh-i Jahan Square, Esfahan, Iran.

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Side effect

In medicine, a side effect is an effect, whether therapeutic or adverse, that is secondary to the one intended; although the term is predominantly employed to describe adverse effects, it can also apply to beneficial, but unintended, consequences of the use of a drug.

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Skewness

In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean.

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Space

Space is the boundless three-dimensional extent in which objects and events have relative position and direction.

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Spacetime

In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.

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Spacetime symmetries

Spacetime symmetries are features of spacetime that can be described as exhibiting some form of symmetry.

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Spectroscopy

Spectroscopy is the study of the interaction between matter and electromagnetic radiation.

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Spontaneous symmetry breaking

Spontaneous symmetry breaking is a spontaneous process of symmetry breaking, by which a physical system in a symmetric state ends up in an asymmetric state.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Starfish

Starfish or sea stars are star-shaped echinoderms belonging to the class Asteroidea.

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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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Steve Reich

Stephen Michael Reich (born October 3, 1936) is an American composer who, along with La Monte Young, Terry Riley, and Philip Glass, pioneered minimal music in the mid to late 1960s.

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Supersymmetry

In particle physics, supersymmetry (SUSY) is a theory that proposes a relationship between two basic classes of elementary particles: bosons, which have an integer-valued spin, and fermions, which have a half-integer spin.

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Symmetric game

In game theory, a symmetric game is a game where the payoffs for playing a particular strategy depend only on the other strategies employed, not on who is playing them.

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Symmetric group

In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.

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Symmetric matrix

In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose.

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Symmetric probability distribution

In statistics, a symmetric probability distribution is a probability distribution—an assignment of probabilities to possible occurrences—which is unchanged when its probability density function or probability mass function is reflected around a vertical line at some value of the random variable represented by the distribution.

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Symmetric relation

In mathematics and other areas, a binary relation R over a set X is symmetric if it holds for all a and b in X that a is related to b if and only if b is related to a. In mathematical notation, this is: Symmetry, along with reflexivity and transitivity, are the three defining properties of an equivalence relation.

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Symmetric scale

In music, a symmetric scale is a music scale which equally divides the octave.

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Symmetry (geometry)

A geometric object has symmetry if there is an "operation" or "transformation" (such as an isometry or affine map) that maps the figure/object onto itself; i.e., it is said that the object has an invariance under the transform.

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Symmetry group

In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

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Symmetry in biology

Symmetry in biology is the balanced distribution of duplicate body parts or shapes within the body of an organism.

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Symmetry-breaking constraints

In the field of mathematics called combinatorial optimization, the method of symmetry-breaking constraints can be used to take advantage of symmetries in many constraint satisfaction and optimization problems, by adding constraints that eliminate symmetries and reduce the search space size.

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Sympathy

Sympathy (from the Greek words syn "together" and pathos "feeling" which means "fellow-feeling") is the perception, understanding, and reaction to the distress or need of another life form.

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Taj Mahal

The Taj Mahal (meaning "Crown of the Palace") is an ivory-white marble mausoleum on the south bank of the Yamuna river in the Indian city of Agra.

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Tessellation

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

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Textile

A textile is a flexible material consisting of a network of natural or artificial fibres (yarn or thread).

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Theoretical physics

Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena.

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Tile

A tile is a manufactured piece of hard-wearing material such as ceramic, stone, metal, or even glass, generally used for covering roofs, floors, walls, showers, or other objects such as tabletops.

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Time

Time is the indefinite continued progress of existence and events that occur in apparently irreversible succession from the past through the present to the future.

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Tit for tat

Tit for tat is an English saying meaning "equivalent retaliation".

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Tonality

Tonality is the arrangement of pitches and/or chords of a musical work in a hierarchy of perceived relations, stabilities, attractions and directionality.

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Tone row

In music, a tone row or note row (Reihe or Tonreihe), also series or set,George Perle, Serial Composition and Atonality: An Introduction to the Music of Schoenberg, Berg, and Webern, fourth Edition (Berkeley, Los Angeles, and London: University of California Press, 1977): 3.

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Tonic (music)

In music, the tonic is the first scale degree of a diatonic scale (the first note of a scale) and the tonal center or final resolution tone that is commonly used in the final cadence in tonal (musical key-based) classical music, popular music and traditional music.

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Translation (geometry)

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

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Translational symmetry

In geometry, a translation "slides" a thing by a: Ta(p).

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Twelve-tone technique

Twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and (in British usage) twelve-note composition—is a method of musical composition devised by Austrian composer Arnold Schoenberg (1874–1951) and associated with the "Second Viennese School" composers, who were the primary users of the technique in the first decades of its existence.

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Wallpaper

Wallpaper is a material used in interior decoration to decorate the interior walls of domestic and public buildings.

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Wallpaper group

A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern.

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White House

The White House is the official residence and workplace of the President of the United States.

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Whole tone scale

In music, a whole tone scale is a scale in which each note is separated from its neighbours by the interval of a whole tone.

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Wigner's classification

In mathematics and theoretical physics, Wigner's classification is a classification of the nonnegative (E ≥ 0) energy irreducible unitary representations of the Poincaré group which have sharp mass eigenvalues.

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Chemical symmetry elements, Musical symmetry, Planar symmetry, Quadrilateral symmetry, Scale symmetry, Symetrical, Symettry, Symmetric, Symmetric property, Symmetrical, Symmetries, Symmetry (music), Symmetry and asymmetry, Symmetry principles, Symmetry transformation, .

References

[1] https://en.wikipedia.org/wiki/Symmetry

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