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Mathematical theory
In applied mathematics and the calculus of variations, the first variation of a functional J(y) is defined as the linear functional δ J ( y ) {\displaystyle
First_variation
Keyboard work by Johann Sebastian Bach
and a set of thirty variations. First published in 1741, it is named after Johann Gottlieb Goldberg, who may also have been the first performer of the work
Goldberg_Variations
Differential calculus on function spaces
The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and
Calculus_of_variations
Element in Riemannian geometry
every submanifold of a Riemannian manifold has a surface area. The first variation of area formula is a fundamental computation for how this quantity
First variation of area formula
First_variation_of_area_formula
1803/1805 composition by Ludwig van Beethoven
quiet theme, in E♭ major, first appears and then is subjected to a series of 10 variations: Variation 1: The 1st variation repeats the theme in "arco"
Symphony_No._3_(Beethoven)
Musical form
exemplifies a number of common variation techniques. Here are the first eight bars of the theme: Mozart's first variation decorates and elaborates the plain
Variation_(music)
Piano composition by Ludwig van Beethoven
The 33 Variations on a waltz by Anton Diabelli, Op. 120, commonly known as the Diabelli Variations, is a set of variations for the piano written between
Diabelli_Variations
Structural Musical Form
a double variation set, a first theme (to be called A here) is followed by a second theme (B), followed by a variation on A, then a variation on B, and
Double_variation
Piano composition by Johannes Brahms
The Variations and Fugue on a Theme by Handel, Op. 24, is a work for solo piano written by Johannes Brahms in 1861. It consists of a set of twenty-five
Variations and Fugue on a Theme by Handel
Variations_and_Fugue_on_a_Theme_by_Handel
Title for an expert or martial arts teacher in Chinese culture
using Chinese characters, and they bear two different meanings. The first variation, Shīfù 師傅 ('Expert Instructor'), is used as an honorific, which is
Shifu
Physics theorem for symmetries of action
equations of L {\textstyle L} . Combining the first variation formula together with the fact that the variations δ λ u σ {\textstyle \delta _{\lambda }u^{\sigma
Noether's_second_theorem
Genre of classical music
Variation suite is a musical genre most popular during the early Baroque era. The variation suite consists of two or more movements where the first movement
Variation_suite
Concept in differential calculus
relies on the first variation, which is a generalization of the first derivative to a functional. An example of a class of variational problems is to
Second_variation
Korean subcompact crossover SUV
designated as a global product with three variations introduced for different markets. The first variation is the largest version of the Seltos, which
Kia_Seltos
Torture device used by the French and the Spanish
instrument the chevalet, from the French diminutive of cheval, horse. The first variation of the wooden horse is a triangular device with one end of the triangle
Wooden_horse_(device)
Measure of local oscillation behavior
total variation is finite are called functions of bounded variation. The concept of total variation for functions of one real variable was first introduced
Total_variation
Music composition technique
In musical composition, developing variation is a formal technique in which the variations are produced through the development of existing material.
Developing_variation
Musical composition by Edward Elgar
Edward Elgar composed his Variations on an Original Theme, Op. 36, popularly known as the Enigma Variations, between October 1898 and February 1899. It
Enigma_Variations
Type of mathematical inequality
functional involved was obtained as the first variation of the involved potential energy. Therefore, it has a variational origin, recalled by the name of the
Variational_inequality
Chess opening
Scheveningen Variation, discussed below) allows 6.g4, which is White's most dangerous line against the Scheveningen. By playing 5...a6 first, Black temporarily
Sicilian_Defence
International transport group based in Aberdeen
December 2025. Retrieved 11 December 2025. "First Variation". April 2003. Retrieved 21 April 2017. "FirstGroup relaunches UK bus division with new local
FirstGroup
Mathematical formulation of Lagrangian mechanics
of this bicomplex. Cohomology of the variational bicomplex leads to the global first variational formula and first Noether's theorem. Extended to Lagrangian
Variational_bicomplex
1877 musical work by Pyotr Ilyich Tchaikovsky
The Variations on a Rococo Theme, Op. 33, is a concertante work for cello and orchestra by Pyotr Ilyich Tchaikovsky. It is the closest he ever came to
Variations_on_a_Rococo_Theme
Musical work; symphony in four movements composed by Franz Schubert
symphonic variations. Although there is some variation in the melody, the primary focus of the variations is on instrumentation and tone color. The first variation
Symphony_No._2_(Schubert)
Concert band music
play the second part. The song then consists of five variations on this theme. The first variation, marked Vivace, turns the theme into a series of rapid
Variations on a Korean Folk Song
Variations_on_a_Korean_Folk_Song
Difference in DNA among individuals or populations
Genetic variation is the difference in DNA among individuals or the differences between populations among the same species. The multiple sources of genetic
Genetic_variation
Statement and poem by Martin Niemöller
power and subsequent incremental purging of their chosen targets. Many variations and adaptations in the spirit of the original have been published in the
First_They_Came
Piano sonata by Ludwig van Beethoven
Delphe. This variation is marked leggiermente. Whereas the theme and first variation were a binary phrase structure, here we have three variations collated
Piano Sonata No. 30 (Beethoven)
Piano_Sonata_No._30_(Beethoven)
Noise removal process during image processing
particularly image processing, total variation denoising, also known as total variation regularization or total variation filtering, is a noise removal process
Total_variation_denoising
Reciprocating internal combustion engine
and decreased output for EQ Boost (15 kW (20 PS)). The M177 was the first variation released in the Mercedes-AMG C63. In contrast to the M178, this version
Mercedes-Benz M176/M177/M178 engine
Mercedes-Benz_M176/M177/M178_engine
Form of extreme patriotism and nationalism
While the first variation of the English term chauvinism, "literary chauvinism", appeared in 1888, the growing popularity of variations is attributed
Chauvinism
Defunct firearms manufacturer
the first Raven, the P-25 for his friend, and over the next 20 years, the company sold approximately two million variations of the pistols. The first variation
Raven_Arms
In astronomy, the variation of the Moon is one of the principal perturbations in the motion of the Moon. The variation was discovered by Tycho Brahe, who
Variation_(astronomy)
1788 piano composition by W. A. Mozart
This piece consists of twelve variations on the French folk song "Ah! vous dirai-je, maman". The French melody first appeared in 1761, and has been used
Twelve Variations on "Ah vous dirai-je, Maman"
Twelve_Variations_on_"Ah_vous_dirai-je,_Maman"
Composition by Ludwig van Beethoven
Eroica variations, Op. 35 Performed by Stefano Ligoratti Problems playing this file? See media help. The Variations and Fugue for Piano in E♭ major, Op
Eroica_Variations
1934 concertante by Sergei Rachmaninoff
first variation is played before the theme. Paganini's theme is stated on strings with the piano picking out salient notes, after the first variation
Rhapsody on a Theme of Paganini
Rhapsody_on_a_Theme_of_Paganini
Pistol, Derringer
in 6 variations, all marked, "REMINGTON ARMS CO, ILION NY". on the top rib. The variations are determined by the font style. The first variation of the
Remington_Model_95
Organ composition by Johann Sebastian Bach
The Canonic Variations on "Vom Himmel hoch da komm' ich her" ("From Heaven above to Earth I come"), BWV 769, are a set of five variations in canon for
Canonic Variations on "Vom Himmel hoch da komm' ich her"
Canonic_Variations_on_"Vom_Himmel_hoch_da_komm'_ich_her"
Focus variation is a method used to sharpen images and to measure surface irregularities by means of optics with limited depth of field. The algorithm
Focus_variation
Concept relating to general relativity
In general relativity and gravitation the Palatini variation is nowadays thought of as a variation of a Lagrangian with respect to the connection. In
Palatini_variation
1894 slot machine
The Liberty Bell was the first variation of the modern mechanical slot machine, originally being referred to as a "fruit machine" or "one-armed bandit"
Liberty_Bell_(game)
modes of variation are a continuously indexed set of vectors or functions that are centered at a mean and are used to depict the variation in a population
Modes_of_variation
Chess openings
Steinitz Variation (or similar) is applied to several chess openings introduced and practiced, or adopted and advocated by Wilhelm Steinitz, the first officially
Steinitz_Variation
1892 organ composition by Charles Ives
Variations on "America" is a composition for organ by the American composer Charles Ives first performed in 1892 for an Independence Day celebration. Composed
Variations_on_"America"
Composition for harpsichord by George Frideric Handel
Air and variations, of George Frideric Handel's Suite No. 5 in E major, HWV 430, for harpsichord. This instrumental air was one of the first works for
The_Harmonious_Blacksmith
Approach in decision theory
main variations. In the first variation, the decision maker when faced with the problem at hand, responds with the course of action that was first generated
Naturalistic_decision-making
1824 string quartet by Franz Schubert
structure of the 24-measure theme. But each variation expresses a profoundly different emotion. In the first variation, a lilting violin descant floats above
String Quartet No. 14 (Schubert)
String_Quartet_No._14_(Schubert)
Very small devices that incorporate moving components
are two variations of the DRIE. The first variation consists of three distinct steps (the original Bosch process) while the second variation only consists
MEMS
Human anatomical variation
anatomical variation in humans, which may be viewed as a pathology if it causes symptoms. It was recognised as early as the 1800s, but was first described
Linburg–Comstock_variation
Procedure for solving differential equations
In mathematics, variation of parameters, also known as variation of constants, is a general method to solve inhomogeneous linear ordinary differential
Variation_of_parameters
Piano composition by Sergei Rachmaninoff
composed by Sergei Rachmaninoff in 1902–03. In the first edition, it is noted that 3 of the variations and the final Presto section can be omitted if the
Variations on a Theme of Chopin (Rachmaninoff)
Variations_on_a_Theme_of_Chopin_(Rachmaninoff)
1822 piano sonata by L. van Beethoven
theme and first variation sound much slower, with wide spaces between the chords, and the second variation (and much more so, the third variation) faster
Piano Sonata No. 32 (Beethoven)
Piano_Sonata_No._32_(Beethoven)
1945 orchestral work by Benjamin Britten
major) Variation A Presto Flutes and piccolo Variation B Lento Oboes Variation C Moderato Clarinets Variation D Allegro alla marcia Bassoons Variation E Brillante:
The Young Person's Guide to the Orchestra
The_Young_Person's_Guide_to_the_Orchestra
Ballet dance for three dancers
usually preceded by a short introduction) Variation (or solo) for the 1st dancer Variation for the 2nd dancer Variation for the 3rd dancer Coda (a finale usually
Pas_de_trois
Scientific principles enabling the use of the calculus of variations
concept of a variational principle emerged from earlier work like Fermat's principle for optics in 1662. The first application of the variational technique
Variational_principle
1873 musical work by Johannes Brahms
The Variations on a Theme by Joseph Haydn (German: Variationen über ein Thema von Jos. Haydn), now also called the Saint Anthony Variations, is a work
Variations on a Theme by Haydn
Variations_on_a_Theme_by_Haydn
Work by Russian composer Alexander Scriabin
It is in the form of theme and variations. The orchestra introduces the theme. The piano enters with the first variation, accompanying the orchestra's
Piano_Concerto_(Scriabin)
1825 composition by Ludwig van Beethoven
variation returns to the tonic and the original theme. It is altered rhythmically, using 16th-notes in place of eighth notes in the melody. The first
String Quartet No. 12 (Beethoven)
String_Quartet_No._12_(Beethoven)
1982 studio album by Akina Nakamori
"Shōjo A". It became Nakamori's first number-one album on the Oricon Weekly Albums Chart and her best-selling album. Variation (Hensoukyoku) is Nakamori's
Variation_(Hensoukyoku)
Motif or phrase repeated throughout a piece of music
exact repetition, but in common usage, the term covers repetition with variation and development, such as the alteration of an ostinato line to fit changing
Ostinato
Phonetic varieties not affecting meaning
see IPA § Brackets and transcription delimiters. In linguistics, free variation is the phenomenon of two (or more) sounds or forms appearing in the same
Free_variation
Serenade for winds by Wolfgang Amadeus Mozart
for example, the first variation features the solo oboe. Unlike the other variations, all of which are in B♭ major, the fourth variation is in B♭ minor
Serenade_No._10_(Mozart)
1811 composition by Carl Maria von Weber
follows is "Variation I", though it could be argued that the previous section is actually the first variation. In any event, the so-called Variation I presents
Concertino for Clarinet (Weber)
Concertino_for_Clarinet_(Weber)
lute. The movement consists of six variations, and each variation develops gradually to the end. In the first variation, for example, Ysaÿe instructs the
Violin_Sonata_No._2_(Ysaÿe)
1961 studio album by John Lewis
inconsistency of the music: "The first variation of Part 2 is unabridged musical comedy pit band. But the tantalizing thing is that Variation 2 is a clever, self-sustaining
Original Sin (John Lewis album)
Original_Sin_(John_Lewis_album)
2015-07-06, retrieved 2011-07-18. Allard, William K. (May 1972), "On the first variation of a varifold", Annals of Mathematics, Second Series, 95 (3): 417–491
Varifold
1776 composition by W. A. Mozart
and variation form. Here, the three variations serve as the "trios" with the minuet-theme returning da capo after each variation. The first variation features
Divertimento_No._11_(Mozart)
Americanized version of pai gow with cards
first variation to be created which allows for two side bets instead of the traditional one side bet per hand. Fortune Pai Gow is another variation which
Pai_gow_poker
Series of musical pieces
Variations is a series of works by the American composer John Cage. A number of the pieces in the series are seminal examples of indeterminate music, others
Variations_(Cage)
Large-scale work for piano by Edvard Grieg
left hand. The chord patterns are the same as the first variation. Variation III. The third variation in contrast to the preceding agitato, is a calm adagio
Ballade in the Form of Variations on a Norwegian Folk Song
Ballade_in_the_Form_of_Variations_on_a_Norwegian_Folk_Song
1950 book by American botanist G. Ledyard Stebbins
Variation and Evolution in Plants is a book written by G. Ledyard Stebbins, published in 1950. It is one of the key publications embodying the modern
Variation and Evolution in Plants
Variation_and_Evolution_in_Plants
1977 musical composition by Arvo Pärt
playing A7. The string orchestra enters in pairs after the G.P. in the first "variation" on the pitch, "A." Pärt phases in each of the string instruments in
Tabula_Rasa_(Pärt)
three variations. The first variation is very similar to the theme, but with steady eighth notes and many meter changes. The second variation is played
Sonata_for_Solo_Cello_(Crumb)
Naturally occurring variation in transistor attributes
Process variation is the naturally occurring variation in the attributes of transistors (length, widths, oxide thickness) when integrated circuits are
Process variation (semiconductor)
Process_variation_(semiconductor)
Concept in calculus of variations
In the calculus of variations, a field of mathematical analysis, the functional derivative (or variational derivative) relates a change in a functional
Functional_derivative
Composition by Franz Schubert
general. The first variation introduces an eliding chromatic figuration that accompanies the otherwise largely unaltered theme. The second variation is an energetic
Piano Sonata in A minor, D 845 (Schubert)
Piano_Sonata_in_A_minor,_D_845_(Schubert)
Musical composition by Johann Pachelbel
and structural details. For instance, the "dactyl" figures of the first variation of Pachelbel's work are found in Bach's passacaglia from bar 32 onwards
Chaconne in D minor (Pachelbel)
Chaconne_in_D_minor_(Pachelbel)
Russian dancer (born 1984)
after Marius Petipa): grand pas variation La Bayadère (choreography: Yuri Grigorovich, after Marius Petipa): first variation in the "Kingdom of the Shades"
Anastasia_Stashkevich
Unwarranted variation (or geographic variation) in health care service delivery is medical practice pattern variation that cannot be explained by illness
Unwarranted_variation
1803 composition for violin and piano by Ludwig van Beethoven
movement, a placid tune in F major followed by five distinctive variations. The first variation transliterates the theme into a lively triple meter while embellishing
Violin Sonata No. 9 (Beethoven)
Violin_Sonata_No._9_(Beethoven)
Real function with finite total variation
analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite): the graph of
Bounded_variation
Variation in pressure as a function of elevation
Vertical pressure variation is the variation in pressure as a function of elevation. Depending on the fluid in question and the context being referred
Vertical_pressure_variation
Statistical dispersion in nominal distributions
index of qualitative variation (IQV) is a measure of statistical dispersion in nominal distributions. Examples include the variation ratio or the information
Qualitative_variation
Type of chess opening
chess moves. White may choose an exchange variation as a relatively risk-free way to try to exploit White's first-move advantage. Players such as Mikhail
Exchange_variation
Difference of delay of packets in computer networking
In computer networking, packet delay variation (PDV) is the difference in end-to-end one-way delay between selected packets in a flow with any lost packets
Packet_delay_variation
Long-term non-periodic variation
The secular variation of a time series is its long-term, non-periodic variation . Whether a variation is perceived as secular or not depends on the available
Secular_variation
Type of punch used in unarmed combat
formed by folding the first two joints of the fingers. There are two variations of the maneuver; the first involves folding only the first four fingers of the
Leopard_Blow
Musical work by Joseph Haydn, composed in 1794-1795
theme, (c) first variation on the minor theme (woodwinds), (d) first variation on the major theme (for violin solo), (e) second variation on the minor
Symphony_No._103_(Haydn)
Six string quartets by Joseph Haydn
violin and viola in the first variation, the cello in the second variation, and elsewhere the first violin. The fourth variation never completes the theme
String Quartets, Op. 20 (Haydn)
String_Quartets,_Op._20_(Haydn)
Musical composition by Ludwig van Beethoven
disguised variation of the principal theme. In fact, the three sections that follow the first variation set form another, larger-scale set of variations. The
Choral_Fantasy_(Beethoven)
Process of altering the timing of a valve lift event
complex system, such as multiple cam profiles or oscillating cams. The first variation of continuous variable valve timing involves holding the intake valve
Variable_valve_timing
Form of spin bowling in cricket
delivery. The topspinner is a common variation in the arsenal of the wrist spinner, and typically the first variation taught to young wrist spin bowlers
Topspinner
1997 novel by Paolo Maurensig
The Lüneburg Variation is a novel by Paolo Maurensig, published in Italian in 1993 by Adelphi edizioni s.p.a. Milan and published in English translation
The_Lüneburg_Variation
French beef stew
courses: first the broth (bouillon) and then the meat (bouilli) and vegetables. The dish is familiar throughout France and has many regional variations. The
Pot-au-feu
Individual differences in genomic DNA
Genomic structural variation is the variation in structure of an organism's chromosome, such as deletions, duplications, copy-number variants, insertions
Structural_variation
1877 ballet by Pyotr Ilyich Tchaikovsky
sequence and published as such after the first variation) 4. Variation III: Moderato 5. Variation IV: Allegro 6. Variation V: Moderato, Allegro semplice 7. Grand
Swan_Lake
Exoplanet detection method using transit timing variations
transit-timing variations. "Timing variation" asks whether the transit occurs with strict periodicity or if there exists a variation. The first significant
Transit-timing_variation
United States Navy decoration
wear gold sleeve insignia. The petty officer third class good conduct variation was very rare in the U.S. Navy as it was uncommon for a Sailor with 12
Good_conduct_variation
Straight path on a curved surface or a Riemannian manifold
+t\varphi ).} The critical points of the first variation are precisely the geodesics. The second variation is defined by δ 2 E ( γ ) ( φ , ψ ) = ∂ 2
Geodesic
Chess opening theme
The Poisoned Pawn Variation is any of several series of opening moves in chess in which a pawn is said to be "poisoned" because its capture can result
Poisoned_Pawn_Variation
FIRST VARIATION
FIRST VARIATION
Boy/Male
English
From the Thicket of Trees
Biblical
first begotten; first fruits
Girl/Female
Biblical
First-born, first fruits.
Boy/Male
Muslim
First
Boy/Male
Tamil
First
Girl/Female
Indian
First
Boy/Male
Tamil
First
Boy/Male
Czechoslovakian
First.
Girl/Female
Hindu
First
Girl/Female
Indian, Sanskrit
First
Girl/Female
Hindu, Indian
First
Boy/Male
Indian
First
Girl/Female
Hawaiian, Hebrew, Hindu, Indian, Tamil
First
Girl/Female
Hindu, Indian
First
Girl/Female
Latin
First.
Boy/Male
Hindu, Indian
First
Boy/Male
Hindu, Indian
First
Girl/Female
Indian, Punjabi, Sikh
First
Girl/Female
British, English
First; Always First
Girl/Female
Tamil
First
FIRST VARIATION
FIRST VARIATION
Boy/Male
Muslim
Discretion, Sense, Manners, Distinction, Distinguishing
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sikh, Telugu
Heroic
Boy/Male
Indian
Gracefull
Boy/Male
Muslim
Growth, Super abundance
Girl/Female
Hindu, Indian, Marathi
Mother of Brihaspati
Boy/Male
American, Australian, British, English, Irish
Deer Meadow; Male Goat; Deer; Place Name; Meadow of the Deer; Boy
Boy/Male
Anglo Saxon
Greedy.
Boy/Male
Hindu, Indian, Marathi
Risen; Ascended
Girl/Female
Teutonic American Spanish German Scottish
Devoted to God.
Boy/Male
Hindu, Indian
God Hanuman and Shiva
FIRST VARIATION
FIRST VARIATION
FIRST VARIATION
FIRST VARIATION
FIRST VARIATION
a.
First.
n. pl.
First fruits.
a.
Foremost; in front of, or in advance of, all others.
a.
First-formed.
a.
Obtained directly from the first or original source; hence, without the intervention of an agent.
a.
Preceding all others of a series or kind; the ordinal of one; earliest; as, the first day of a month; the first year of a reign.
a.
First; chief.
a.
Of the best class; of the highest rank; in the first division; of the best quality; first-rate; as, a first-class telescope.
n.
A first game; first plan.
adv.
In the first place; first in order.
n.
First opening or expansion; first appearance; beginning; rise.
adv.
First.
a.
Most eminent or exalted; most excellent; chief; highest; as, Demosthenes was the first orator of Greece.
v. t.
To gripe with the fist.
n.
The upper part of a duet, trio, etc., either vocal or instrumental; -- so called because it generally expresses the air, and has a preeminence in the combined effect.
adv.
Before any other person or thing in time, space, rank, etc.; -- much used in composition with adjectives and participles.
adv.
Beforehand; first.
v. t.
To strike with the fist.