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CYCLIC FORM

  • Cyclic form
  • Compositional technique

    Cyclic form is a technique of musical construction, involving multiple sections or movements, in which a theme, melody, or thematic material occurs in

    Cyclic form

    Cyclic_form

  • Glucose
  • Naturally produced monosaccharide

    glucose molecule can exist in an open-chain (acyclic) as well as ring (cyclic) form. Glucose is naturally occurring and is found in its free state in fruits

    Glucose

    Glucose

    Glucose

  • Pentose
  • 5-Carbon simple sugar

    exist in two forms, open-chain (linear) or closed-chain (cyclic), that easily convert into each other in water solutions. The linear form of a pentose

    Pentose

    Pentose

  • Trinitrogen
  • Chemical compound

    known: a linear form with double bonds and charge transfer, and a cyclic form. Both forms are highly unstable, though the linear form is the more stable

    Trinitrogen

    Trinitrogen

  • Hexose
  • 6-carbon simple sugar

    Hexoses exist in two forms, open-chain or cyclic, that easily convert into each other in aqueous solutions. The open-chain form of a hexose, which usually

    Hexose

    Hexose

    Hexose

  • Reducing sugar
  • Sugars that contain free OH group at the anomeric carbon atom

    carbons and thus cannot convert to an open-chain form with an aldehyde group; they are stuck in the cyclic form. Reducing disaccharides like lactose and maltose

    Reducing sugar

    Reducing sugar

    Reducing_sugar

  • Monosaccharide nomenclature
  • Naming system for building blocks of carbohydrate

    the laboratory and not found in nature. For monosaccharides in their cyclic form, an infix is placed before the '-ose', '-ulose', or 'n-ulose' suffix

    Monosaccharide nomenclature

    Monosaccharide_nomenclature

  • Monosaccharide
  • Simple sugars such as glucose and fructose

    isomers for a given formula, each saccharide can exist in at least one cyclic form. The combination of these factors - many "chiral centers" and the chain-ring

    Monosaccharide

    Monosaccharide

  • Cycle
  • Topics referred to by the same term

    cycle, cyclic, or cyclical in Wiktionary, the free dictionary. Cycle, cycles, or cyclic may refer to: Cyclic history, a theory of history Cyclical theory

    Cycle

    Cycle

  • Cyclic group
  • Mathematical group that can be generated as the set of powers of a single element

    In abstract algebra, a cyclic group or monogenous group is a group, denoted Cn (also frequently Z {\displaystyle \mathbb {Z} } n or Zn, not to be confused

    Cyclic group

    Cyclic group

    Cyclic_group

  • Cyclic cover
  • geometry, a cyclic cover or cyclic covering is a covering space for which the set of covering transformations forms a cyclic group. As with cyclic groups,

    Cyclic cover

    Cyclic_cover

  • Musical form
  • Structure of a piece of music

    musicians. The grandest level of organization may be referred to as "cyclical form."[citation needed] It concerns the arrangement of several self-contained

    Musical form

    Musical_form

  • Cyclic compound
  • Molecule with a ring of bonded atoms

    ability to form rings, the number of possible cyclic structures, even of small size (e.g., < 17 total atoms) numbers in the many billions. Cyclic compound

    Cyclic compound

    Cyclic compound

    Cyclic_compound

  • Symphonic poem
  • Piece of orchestral music in a single continuous section

    practices, which he used in his symphonic poems. The first practice was cyclic form, a procedure established by Beethoven in which certain movements are

    Symphonic poem

    Symphonic_poem

  • Galactose
  • Monosaccharide sugar

    Galactose exists in both open-chain and cyclic form. The open-chain form is an aldehyde (RCHO). Four isomers are cyclic, two of them with a pyranose (six-membered)

    Galactose

    Galactose

    Galactose

  • César Franck
  • Belgian-French composer and organist (1822–1890)

    music and developed the use of cyclic form. Claude Debussy and Maurice Ravel remembered and employed the cyclic form, although their concepts of music

    César Franck

    César Franck

    César_Franck

  • Propyl group
  • Chemical group (–C3H7) derived from propane

    addition, there is a third, cyclic, form called cyclopropyl, or c-propyl[citation needed]. It is not isomeric with the other two forms, having a different chemical

    Propyl group

    Propyl_group

  • Cyclic model
  • Cosmological models involving indefinite, self-sustaining cycles

    A cyclic model (or oscillating model) is any of several cosmological models in which the universe follows infinite, or indefinite, self-sustaining cycles

    Cyclic model

    Cyclic model

    Cyclic_model

  • String Quartet No. 2 (Mendelssohn)
  • Composition by Felix Mendelssohn

    detailed analysis, this quartet "is the most thorough-going essay in cyclic form, both by Mendelssohn and by any composer to that time, until the late

    String Quartet No. 2 (Mendelssohn)

    String Quartet No. 2 (Mendelssohn)

    String_Quartet_No._2_(Mendelssohn)

  • Symphony No. 4 (Mahler)
  • Symphony by Gustav Mahler

    responsible for the post-war rise in Mahler's popularity. The symphony uses cyclic form throughout its structure, such as in the anticipations of the Finale's

    Symphony No. 4 (Mahler)

    Symphony No. 4 (Mahler)

    Symphony_No._4_(Mahler)

  • Biochemistry
  • Study of chemical processes of living organisms

    The cyclic molecule has a hemiacetal or hemiketal group, depending on whether the linear form was an aldose or a ketose. In these cyclic forms, the ring

    Biochemistry

    Biochemistry

    Biochemistry

  • Glycosyl
  • Molecular substituent derived from cyclic monosaccharides

    hydroxyl (−OH) group from the hemiacetal (−CH(OH)O−) group found in the cyclic form of a monosaccharide and, by extension, of a lower oligosaccharide. Glycosyl

    Glycosyl

    Glycosyl

    Glycosyl

  • Tautomer
  • Isomers of chemical compounds that interconvert

    encountered during nitrile hydrolysis reactions) lactam – lactim, a cyclic form of amide-imidic acid tautomerism in 2-pyridone and derived structures

    Tautomer

    Tautomer

    Tautomer

  • Prélude, Choral et Fugue (Franck)
  • César Franck. This work is an exemplar of Franck's distinctive use of cyclic form. As the name implies, it comprises three movements: a prelude, a chorale

    Prélude, Choral et Fugue (Franck)

    Prélude, Choral et Fugue (Franck)

    Prélude,_Choral_et_Fugue_(Franck)

  • Symphony in D minor (Franck)
  • 1889 symphony by César Franck

    symphony written by the 19th-century composer César Franck. It employs a cyclic form, with important themes recurring in all three movements. After two years

    Symphony in D minor (Franck)

    Symphony in D minor (Franck)

    Symphony_in_D_minor_(Franck)

  • Cyclic quadrilateral
  • Quadrilateral whose vertices lie on a circle

    In geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral (four-sided polygon) whose vertices all lie on a single circle, making

    Cyclic quadrilateral

    Cyclic quadrilateral

    Cyclic_quadrilateral

  • Cyclic mass
  • The cyclic mass was the first multi-movement form in western music to be subject to a single organizing principle. The period of composition of cyclic masses

    Cyclic mass

    Cyclic_mass

  • Cyclic ozone
  • Chemical compound

    Cyclic ozone is a theoretically predicted form of ozone. Like ordinary ozone (O=O+−O−), it would have three oxygen atoms. It would differ from ordinary

    Cyclic ozone

    Cyclic_ozone

  • Cyclic permutation
  • Type of (mathematical) permutation with no fixed element

    theory, a cyclic permutation is a permutation consisting of a single cycle. In some cases, cyclic permutations are referred to as cycles; if a cyclic permutation

    Cyclic permutation

    Cyclic_permutation

  • Mannokinase
  • Schistosoma mansoni converts the hexose sugar, L-mannose (shown in its cyclic form) to L-mannose 6-phosphate by transferring a phosphate group from the

    Mannokinase

    Mannokinase

    Mannokinase

  • Frobenius normal form
  • Canonical form of matrices over a field

    canonical form. Instead of decomposing into a minimum number of cyclic subspaces, the primary form decomposes into a maximum number of cyclic subspaces

    Frobenius normal form

    Frobenius_normal_form

  • Symphony No. 3 (Mendelssohn)
  • Symphony by Mendelssohn-Bartholdy

    History (Oxford University Press, 2002), pp. 147-65. Rey M. Longyear, 'Cyclic Form and Tonal Relationships in Mendelssohn's "Scottish" Symphony', In Theory

    Symphony No. 3 (Mendelssohn)

    Symphony No. 3 (Mendelssohn)

    Symphony_No._3_(Mendelssohn)

  • Cyclic redundancy check
  • Error-detecting code for detecting data changes

    A cyclic redundancy check (CRC) is an error-detecting code commonly used in digital networks and storage devices to detect accidental changes to digital

    Cyclic redundancy check

    Cyclic_redundancy_check

  • Creatine
  • Chemical compound

    by creatine kinase to form phosphocreatine, which is used as an energy buffer in skeletal muscles and the brain. A cyclic form of creatine, called creatinine

    Creatine

    Creatine

    Creatine

  • Cyclic voltammetry
  • Method of analyzing electrochemical reactions

    In electrochemistry, cyclic voltammetry (CV) is a type of voltammetric measurement where the potential of the working electrode is ramped linearly versus

    Cyclic voltammetry

    Cyclic voltammetry

    Cyclic_voltammetry

  • Les Préludes
  • Symphonic poem by Franz Liszt

    overtures". • A cyclical form, i.e. a construction where a single musical cell gives rise to all the themes, and/or where themes recur cyclically between the

    Les Préludes

    Les Préludes

    Les_Préludes

  • Companion matrix
  • Square matrix constructed from a monic polynomial

    F^{n}} makes F n {\displaystyle F^{n}} a cyclic F [ A ] {\displaystyle F[A]} -module, having a basis of the form { v , A v , … , A n − 1 v } {\displaystyle

    Companion matrix

    Companion_matrix

  • Phosphodiester bond
  • –O– linkage between phosphoric acid and two other compounds

    other biomolecules, e.g. acyl carrier proteins, phospholipids and the cyclic forms of GMP and AMP (cGMP and cAMP). Phosphodiester bonds make up the backbones

    Phosphodiester bond

    Phosphodiester bond

    Phosphodiester_bond

  • Cyclic number
  • Integer whose multiples are digit rotations

    A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the

    Cyclic number

    Cyclic_number

  • Cyclic adenosine monophosphate
  • Cellular second messenger

    Cyclic adenosine monophosphate (cAMP, cyclic AMP, or 3',5'-cyclic adenosine monophosphate) is a second messenger, or cellular signal occurring within

    Cyclic adenosine monophosphate

    Cyclic adenosine monophosphate

    Cyclic_adenosine_monophosphate

  • Acylurea
  • Class of chemical compounds formally derived from the acylation of urea

    acid or allantoin. Hydantoin, or glycolylurea, can be considered the cyclic form of acylurea. "N-acylurea". European Molecular Biology Laboratory. Vincent

    Acylurea

    Acylurea

    Acylurea

  • Cyclic order
  • Alternative mathematical ordering

    In mathematics, a cyclic order is a way to arrange a set of objects in a circle.[nb] Unlike most structures in order theory, a cyclic order is not modeled

    Cyclic order

    Cyclic order

    Cyclic_order

  • Siyahamba
  • Popular song

    results in a structure that is perceived as cyclical rather than linear. Hawn notes that cyclical forms tend to emphasize a spirit of community and allow

    Siyahamba

    Siyahamba

    Siyahamba

  • Cyclic vector
  • Equivalently, f {\displaystyle f} is a cyclic vector for A {\displaystyle A} in case the set of all vectors of the form p ( A ) f {\displaystyle p(A)f} , where

    Cyclic vector

    Cyclic_vector

  • Cyclic code
  • Type of block code

    In coding theory, a cyclic code is a block code, where the circular shifts of each codeword gives another word that belongs to the code. They are error-correcting

    Cyclic code

    Cyclic code

    Cyclic_code

  • Short Symphony
  • Symphony by Aaron Copland

    sonata-allegro form, and its slow second movement follows an adapted ternary form. The third movement resembles the sonata-allegro but has indications of cyclic form

    Short Symphony

    Short_Symphony

  • Suite (music)
  • Ordered set of classic musical pieces in a concert

    favour as a cyclical form, giving way to the symphony, sonata and concerto. It was revived in the later 19th century, but in a different form, often presenting

    Suite (music)

    Suite (music)

    Suite_(music)

  • Ribose
  • Group of simple sugar and carbohydrate compounds

    l-ribose. Like most sugars, ribose exists as a mixture of cyclic forms in equilibrium with its linear form, and these readily interconvert especially in aqueous

    Ribose

    Ribose

    Ribose

  • Cyclic peptide
  • Peptide chains which contain a circular sequence of bonds

    Cyclic peptides are polypeptide chains which contain a circular sequence of bonds. This can be through a connection between the amino and carboxyl ends

    Cyclic peptide

    Cyclic peptide

    Cyclic_peptide

  • Piano Sonata No. 3 (Scriabin)
  • Piano sonata written by Alexander Scriabin

    of cyclic form, in this case by making references of movements I and III in the finale. The first movement is laid out in a conventional sonata form without

    Piano Sonata No. 3 (Scriabin)

    Piano Sonata No. 3 (Scriabin)

    Piano_Sonata_No._3_(Scriabin)

  • Symphonic poems (Liszt)
  • Group of 13 orchestral works

    practices, which he used in his symphonic poems. The first practice was cyclic form, a procedure established by Beethoven in which certain movements are

    Symphonic poems (Liszt)

    Symphonic poems (Liszt)

    Symphonic_poems_(Liszt)

  • Aldose
  • Class of monosaccharides

    closed ring, or cyclic form, and the open-chain form. Cyclic aldoses are usually drawn as Haworth projections, and open chain forms are commonly drawn

    Aldose

    Aldose

  • Cyclic subspace
  • In mathematics, in linear algebra and functional analysis, a cyclic subspace is a certain special subspace of a vector space associated with a vector in

    Cyclic subspace

    Cyclic_subspace

  • Circumscribed circle
  • Index of articles associated with the same name

    Cyclic polygon, a general polygon that can be circumscribed by a circle. The vertices of this polygon are concyclic points. All triangles are cyclic polygons

    Circumscribed circle

    Circumscribed circle

    Circumscribed_circle

  • Cyclic nucleotide–gated ion channel
  • Family of transport proteins

    Cyclic nucleotide–gated ion channels or CNG channels are ion channels that function in response to the binding of cyclic nucleotides. CNG channels are

    Cyclic nucleotide–gated ion channel

    Cyclic nucleotide–gated ion channel

    Cyclic_nucleotide–gated_ion_channel

  • Symphony in B-flat (Chausson)
  • Musical work composed by Ernest Chausson

    follows the three-movement form as established by Chausson's teacher and mentor César Franck, it also employs the cyclic form of recurring themes. Lent-Allegro

    Symphony in B-flat (Chausson)

    Symphony in B-flat (Chausson)

    Symphony_in_B-flat_(Chausson)

  • Hexagon
  • Shape with six sides

    \mathrm {t} \{3\}} . A regular hexagon is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The

    Hexagon

    Hexagon

    Hexagon

  • Glucosamine kinase
  • Schistosoma mansoni converts the hexose sugar, D-glucosamine (shown in its cyclic form) to D-glucosamine 6-phosphate by transferring a phosphate group from

    Glucosamine kinase

    Glucosamine kinase

    Glucosamine_kinase

  • Cyclic steps
  • Type of sediment wave

    Cyclic steps are rhythmic bedforms associated with Froude super-critical flow instability. They are a type of sediment wave, and are created when supercritical

    Cyclic steps

    Cyclic_steps

  • Cyclic guanosine monophosphate
  • Chemical compound

    Cyclic guanosine monophosphate (cGMP) is a cyclic nucleotide derived from guanosine triphosphate (GTP). cGMP acts as a second messenger much like cyclic

    Cyclic guanosine monophosphate

    Cyclic guanosine monophosphate

    Cyclic_guanosine_monophosphate

  • Violin Sonata No. 3 (Medtner)
  • Composition for violin and piano by Nikolai Medtner

    four movements, beginning and ending in the key of E minor. It employs cyclic form. The entire work takes approximately 45 minutes to perform. Introduzione:

    Violin Sonata No. 3 (Medtner)

    Violin_Sonata_No._3_(Medtner)

  • Permutation group
  • Group whose operation is composition of permutations

    } Permutations are also often written in cycle notation (cyclic form) so that given the set M = {1, 2, 3, 4}, a permutation g of M with g(1)

    Permutation group

    Permutation group

    Permutation_group

  • Photosystem
  • Structural units of protein involved in photosynthesis

    through cyclic electron transport around PSI or pass, via ferredoxin, to the enzyme NADP+ reductase. Electrons and protons are added to NADP+ to form NADPH

    Photosystem

    Photosystem

    Photosystem

  • Samuel Scheidt
  • German composer and organist (1587–1654)

    preludes, he wrote numerous fugues, suites of dances (which were often in a cyclic form, sharing a common ground bass) and fantasias. Scheidt's complete works

    Samuel Scheidt

    Samuel Scheidt

    Samuel_Scheidt

  • Piano Concerto No. 3 (Rachmaninoff)
  • Work by Sergei Rachmaninoff

    movements of the Third Concerto, in terms of motives and theme, resemble the cyclic form of the classical symphony, unlike his Second. It is generally agreed

    Piano Concerto No. 3 (Rachmaninoff)

    Piano Concerto No. 3 (Rachmaninoff)

    Piano_Concerto_No._3_(Rachmaninoff)

  • Slime mold
  • Spore-forming organisms

    specificity is required to form an aggregation of genetically similar cells. Many dictyostelid species indeed do not respond to cyclic AMP, but as of 2023 their

    Slime mold

    Slime mold

    Slime_mold

  • Japanese theorem for cyclic quadrilaterals
  • Centers of the incircles of triangles inside a cyclic quadrilateral form a rectangle

    centers of the incircles of those triangles form a rectangle. Specifically, let □ABCD be an arbitrary cyclic quadrilateral and let M1, M2, M3, M4 be the

    Japanese theorem for cyclic quadrilaterals

    Japanese theorem for cyclic quadrilaterals

    Japanese_theorem_for_cyclic_quadrilaterals

  • Cyclic reduction
  • Cyclic reduction is a numerical method for solving large linear systems by repeatedly splitting the problem. Each step eliminates even or odd rows and

    Cyclic reduction

    Cyclic_reduction

  • Ozone
  • Triatomic oxygen molecule

    occurring ozone can be composed of substituted isotopes (16O, 17O, 18O). A cyclic form has been predicted but not observed. Ozone is among the most powerful

    Ozone

    Ozone

    Ozone

  • Cyclic polytope
  • Convex hull of points on moment curve

    In mathematics, a cyclic polytope, denoted C(n, d), is a convex polytope formed as a convex hull of n distinct points on a rational normal curve in Rd

    Cyclic polytope

    Cyclic_polytope

  • Cyclic nucleotide
  • Cyclic nucleic acid

    A cyclic nucleotide (cNMP) is a single-phosphate nucleotide with a cyclic bond arrangement between the sugar and phosphate groups. Like other nucleotides

    Cyclic nucleotide

    Cyclic nucleotide

    Cyclic_nucleotide

  • Symphony No. 3 (Rachmaninoff)
  • 1936 musical work by Sergei Rachmaninoff

    similarities to the third symphony of Antonín Dvořák. The work employs cyclic form, with the subtle use of a motto theme combined, as usual with Rachmaninoff's

    Symphony No. 3 (Rachmaninoff)

    Symphony No. 3 (Rachmaninoff)

    Symphony_No._3_(Rachmaninoff)

  • Chamber music
  • Form of classical music composed for a small group of instruments

    minor, Op. 49. Another characteristic that Mendelssohn pioneered is the cyclic form in overall structure. This means the reuse of thematic material from

    Chamber music

    Chamber music

    Chamber_music

  • Photophosphorylation
  • Biochemical process in photosynthesis

    phosphorylation of ADP to form ATP using the energy from photons (e.g. from sunlight) in photosynthesis.[citation needed] There are two types: cyclic photophosphorylation

    Photophosphorylation

    Photophosphorylation

    Photophosphorylation

  • Variation suite
  • Genre of classical music

    variation suite are typically dance or dance-like forms, and are all in the same main key area. This cyclic form was predominantly used by German composers.

    Variation suite

    Variation_suite

  • 111 South Wacker Drive
  • Office skyscraper in Chicago, Illinois

    Architects, the building is noted for its unique parking ramp. The ramp's cyclical form creates a dramatic sloped ceiling for the building's main lobby underneath

    111 South Wacker Drive

    111 South Wacker Drive

    111_South_Wacker_Drive

  • Cyclic flower
  • Type of flower having many whorls

    A cyclic flower is a flower type formed out of a series of whorls; sets of identical organs attached around the axis at the same point. Most flowers consist

    Cyclic flower

    Cyclic_flower

  • Schelomo
  • Composition for cello and orchestra by Ernest Bloch

    each section separated by the use of different textures and themes in cyclic form. Schelomo is scored for three flutes, two oboes, English horn, two clarinets

    Schelomo

    Schelomo

  • Cyclic sediments
  • Type of layers in sedimentary rocks

    Cyclic sediments (also called rhythmic sediments) are sequences of sedimentary rocks that are characterised by repetitive patterns of different rock types

    Cyclic sediments

    Cyclic sediments

    Cyclic_sediments

  • Antonín Dvořák
  • Czech composer (1841–1904)

    tradition; but, as Taruskin suggests, the difference was Dvořák's use of cyclic form, especially in his later symphonies and concertos, where he "occasionally

    Antonín Dvořák

    Antonín Dvořák

    Antonín_Dvořák

  • Pseudoacid
  • Cyclic oxocarboxylic acid

    organic chemistry is a cyclic oxocarboxylic acid. Most commonly, these form from aldehyde and keto carboxylic acids, and the cyclic forms are furanoid (5-membered

    Pseudoacid

    Pseudoacid

    Pseudoacid

  • Open-chain compound
  • Type of organic molecule with a linear structure

    linear and ring isomers, that is, both acyclic and cyclic. For those with 4 or more carbons, the linear forms can have straight-chain or branched-chain isomers

    Open-chain compound

    Open-chain compound

    Open-chain_compound

  • Ring-opening polymerization
  • Chain polymerization involving cyclic monomers

    polymerization (ROP) is a form of chain-growth polymerization in which the terminus of a polymer chain attacks cyclic monomers to form a longer polymer (see

    Ring-opening polymerization

    Ring-opening_polymerization

  • Lancelot-Grail Cycle
  • 13th-century French Arthurian literary cycle

    actually written first, probably beginning c. 1210–1215 in the "non-cyclic" form, initially largely as an adaptation of the story by Chrétien de Troyes

    Lancelot-Grail Cycle

    Lancelot-Grail Cycle

    Lancelot-Grail_Cycle

  • Grande Pièce Symphonique
  • based on the following four reasons: Unity of the cyclic form, “thème cyclique” Similarity of the cyclic themes in both works Scherzo is embedded in the

    Grande Pièce Symphonique

    Grande_Pièce_Symphonique

  • Concyclic points
  • Points on a common circle

    on a common circle. A polygon whose vertices are concyclic is called a cyclic polygon, and the circle is called its circumscribing circle or circumcircle

    Concyclic points

    Concyclic points

    Concyclic_points

  • Piano Sonata No. 4 (Scriabin)
  • Piano sonata written by Alexander Scriabin

    right after the Andante movement. A more Romantic idea is the use of cyclic form in restating the Andante’s main theme (dolcissimo) as the ecstatic climax

    Piano Sonata No. 4 (Scriabin)

    Piano Sonata No. 4 (Scriabin)

    Piano_Sonata_No._4_(Scriabin)

  • Memorization
  • Cognitive process

    text, 'Repetition/Recall/Rehearsal', 'Familiarity') which uses specific cyclic forms of active recall to, for instance, memorize poems for public performance

    Memorization

    Memorization

  • Piano Quintet (Schumann)
  • 1842 chamber work by Robert Schumann

    resurrecting earlier thematic material, a composition technique called cyclic form. The piece has four movements in the standard fast-slow-scherzo-fast

    Piano Quintet (Schumann)

    Piano Quintet (Schumann)

    Piano_Quintet_(Schumann)

  • Topological polymers
  • Chemical structures

    molecule that possesses unique spatial features, such as linear, branched, or cyclic architectures. It could also refer to polymer networks that exhibit distinct

    Topological polymers

    Topological_polymers

  • Spherical space form conjecture
  • without fixed points, such as cyclic groups whose orders are a power of two (George Livesay, Robert Myers) and cyclic groups of order 3 (J. Hyam Rubinstein)

    Spherical space form conjecture

    Spherical_space_form_conjecture

  • Violin Sonata No. 1 (Brahms)
  • 1879 composition by Johannes Brahms

    of the main theme of the Adagio in the third movement also represent cyclic form used in this sonata. Brahms arranged the sonata (in D major) for cello

    Violin Sonata No. 1 (Brahms)

    Violin_Sonata_No._1_(Brahms)

  • Scenes from the Passion of Christ
  • Painting by Hans Memling

    Pictures, Neil Morris, Salariya Publishers, 2004 ISBN 1-904642-49-7, p. 5 Cyclic form and the English mystery plays: a comparative study of the English biblical

    Scenes from the Passion of Christ

    Scenes from the Passion of Christ

    Scenes_from_the_Passion_of_Christ

  • Ludwig van Beethoven
  • German composer (1770–1827)

    "resisted the impending Romantic fragmentation of the ... cyclic forms of the Classical era into small forms and lyric mood pieces" and turned towards study of

    Ludwig van Beethoven

    Ludwig van Beethoven

    Ludwig_van_Beethoven

  • String Quartet (Barber)
  • 1943 musical work by Samuel Barber

    minutes, and revisits themes from the opening movement, thereby creating a cyclic form for the quartet. The quartet as a whole is in the key of B minor, but

    String Quartet (Barber)

    String Quartet (Barber)

    String_Quartet_(Barber)

  • Brahmagupta's formula
  • Formula relating the area of a cyclic quadrilateral to its side lengths

    (or any one side) approaches zero, a cyclic quadrilateral converges into a cyclic triangle (all triangles are cyclic), and Brahmagupta's formula simplifies

    Brahmagupta's formula

    Brahmagupta's_formula

  • Hemiacetal
  • Organic compound of the form >C(OH)O–

    the required alcohols to form acetals or ketals. Cyclic hemiacetals can sometimes be referred to as lactols. Hemiacetals form in the reaction between alcohols

    Hemiacetal

    Hemiacetal

    Hemiacetal

  • Oboe Concerto (Vaughan Williams)
  • 1944 oboe concerto by Vaughan Williams

    – Doppio più lento – Lento – Presto) The concerto has an element of cyclic form. Each movement begins and ends with the same pentatonic theme, spanning

    Oboe Concerto (Vaughan Williams)

    Oboe Concerto (Vaughan Williams)

    Oboe_Concerto_(Vaughan_Williams)

  • Japanese theorem for cyclic polygons
  • Theorem in Euclidean geometry

    simple extension of the Japanese theorem for cyclic quadrilaterals, which shows that a rectangle is formed by the two pairs of incenters corresponding

    Japanese theorem for cyclic polygons

    Japanese theorem for cyclic polygons

    Japanese_theorem_for_cyclic_polygons

  • Lactam
  • Cyclic amide

    synthesis of lactams. Lactams form by the acid-catalyzed rearrangement of oximes in the Beckmann rearrangement. Lactams form from cyclic ketones and hydrazoic

    Lactam

    Lactam

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CYCLIC FORM

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CYCLIC FORM

  • Circler
  • n.

    A mean or inferior poet, perhaps from his habit of wandering around as a stroller; an itinerant poet. Also, a name given to the cyclic poets. See under Cyclic, a.

  • Colic
  • a.

    Of or pertaining to the colon; as, the colic arteries.

  • Cycle
  • n.

    One entire round in a circle or a spire; as, a cycle or set of leaves.

  • Cystic
  • a.

    Containing cysts; cystose; as, cystic sarcoma.

  • Cyclic
  • a.

    Alt. of Cyclical

  • Cynical
  • a.

    Pertaining to the Dog Star; as, the cynic, or Sothic, year; cynic cycle.

  • Wheelman
  • n.

    One who rides a bicycle or tricycle; a cycler, or cyclist.

  • Cistic
  • a.

    See Cystic.

  • Colic
  • a.

    Of or pertaining to colic; affecting the bowels.

  • Cycled
  • imp. & p. p.

    of Cycle

  • Wheeling
  • n.

    The act or practice of using a cycle; cycling.

  • Cycle
  • v. i.

    To pass through a cycle of changes; to recur in cycles.

  • Cyclical
  • a.

    Of or pertaining to a cycle or circle; moving in cycles; as, cyclical time.

  • Cycling
  • n.

    The act, art, or practice, of riding a cycle, esp. a bicycle or tricycle.

  • Hylic
  • a.

    Of or pertaining to matter; material; corporeal; as, hylic influences.

  • Cyclist
  • n.

    A cycler.

  • Cycling
  • p. pr. & vb. n.

    of Cycle

  • Cycle
  • v. i.

    To ride a bicycle, tricycle, or other form of cycle.

  • Circular
  • a.

    Adhering to a fixed circle of legends; cyclic; hence, mean; inferior. See Cyclic poets, under Cyclic.

  • Cystic
  • a.

    Having the form of, or living in, a cyst; as, the cystic entozoa.