sequence

Definitions

  • WordNet 3.6
    • v sequence arrange in a sequence
    • v sequence determine the order of constituents in "They sequenced the human genome"
    • n sequence the action of following in order "he played the trumps in sequence"
    • n sequence film consisting of a succession of related shots that develop a given subject in a movie
    • n sequence a following of one thing after another in time "the doctor saw a sequence of patients"
    • n sequence several repetitions of a melodic phrase in different keys
    • n sequence serial arrangement in which things follow in logical order or a recurrent pattern "the sequence of names was alphabetical","he invented a technique to determine the sequence of base pairs in DNA"
    • ***
Webster's Revised Unabridged Dictionary
  • Interesting fact: If you had 15 cubes numbered 1 to 15 and you tried to line them up in every possible sequence, and if you made a change every minute, it would take you 2,487,996 years to do it.
    • Sequence (R.C.Ch) A hymn introduced in the Mass on certain festival days, and recited or sung immediately before the gospel, and after the gradual or introit, whence the name. "Originally the sequence was called a Prose, because its early form was rhythmical prose."
    • Sequence (Mus) A melodic phrase or passage successively repeated one tone higher; a rosalia.
    • Sequence (Card Playing) All five cards, of a hand, in consecutive order as to value, but not necessarily of the same suit; when of one suit, it is called a sequence flush.
    • Sequence (Mus) Any succession of chords (or harmonic phrase) rising or falling by the regular diatonic degrees in the same scale; a succession of similar harmonic steps.
    • Sequence (Philos) Simple succession, or the coming after in time, without asserting or implying causative energy; as, the reactions of chemical agents may be conceived as merely invariable sequences .
    • Sequence That which follows or succeeds as an effect; sequel; consequence; result. "The inevitable sequences of sin and punishment."
    • Sequence the specific order of any linear arrangement of items; as, the sequence of amino acid residues in a protein; the sequence of instructions in a computer program; the sequence of acts in a variety show.
    • Sequence The state of being sequent; succession; order of following; arrangement. "How art thou a king
      But by fair sequence and succession?"
      "Sequence and series of the seasons of the year."
    • Sequence (Card Playing) Three or more cards of the same suit in immediately consecutive order of value; as, ace, king, and queen; or knave, ten, nine, and eight.
    • ***
Century Dictionary and Cyclopedia
  • Interesting fact: There are only two sequences of four consecutive letters that can be found in the English language: "rstu" and "mnop." Examples of each are understudy and gymnophobia.
    • n sequence A following or coming after; connection of consequent to antecedent in order of time or of thought; succession.
    • n sequence order of succession or following in time or in logical arrangement; arrangement; order.
    • n sequence An instance of uniformity in successive following.
    • n sequence A series of things following in a certain order, as a set of cards (three or more) immediately following one after another in order of value, as king, queen, knave, etc.; specifically, in poker, a “straight.”
    • n sequence In music, a series of melodic or harmonic phrases or groups repeated three or more times at successive pitches upward or downward, usually without modulation or chromatic deviation from the key. The interval between the repetitions may be uniformly a half-step, a whole step, or even a longer interval, or it may vary diatonically between a step and a half-step. When the repetition is precise, interval for interval, the sequence is called exact, real, or chromatic; when it uses only the tones of the key, it is tonal or diatonic. Compare rosalia. Also called progression and sequentia.
    • n sequence In liturgics, a hymn in rhythmical prose or in accentual meter sung in the Western Church after the gradual (whence the name) and before the gospel. The sequence is identical with the prose (which see), or the name is given to such a hymn as used in this part of the liturgy. In medieval times a great number of sequences were in use, and a different selection of them in different places. At present in the Roman Catholic Church only four are retained.
    • n sequence A musical setting of a liturgical prose or sequence.
    • n sequence In mathematics, an infinite set of numbers or objects arranged so that every one has a definite numbered position.
    • ***
Chambers's Twentieth Century Dictionary
    • n Sequence sē′kwens state of being sequent or following: order of succession: a series of things following in a certain order, as a set of three or more cards in order of value: that which follows: consequence:
    • n Sequence sē′kwens (mus.) a regular succession of similar chords: in liturgics, a hymn in rhythmical prose, sung after the gradual and before the gospel
    • ***

Quotations

  • Hubert H. Humphrey
    Hubert%20H.%20Humphrey
    “The difference between heresy and prophecy is often one of sequence. Heresy often turns out to have been prophecy -- when properly aged.”
  • John Argenti
    John Argenti
    “A plan is a list of actions arranged in whatever sequence is thought likely to achieve an objective.”
  • George L. Morrisey
    George L. Morrisey
    “Developing the plan is actually laying out the sequence of events that have to occur for you to achieve your goal.”

Etymology

Webster's Revised Unabridged Dictionary
F. séquence, L. sequentia, fr. sequens,. See Sequent
Chambers's Twentieth Century Dictionary
Fr.,—L. sequens, pr.p. of sequi, to follow.

Usage

In literature:

When at last sheer weariness overcame him, his mind was still at work, not in orderly sequence but along trails monstrous and grotesque.
"The House of the Vampire" by George Sylvester Viereck
God would have chosen a sequence of possibles where all these evils would be excluded.
"Theodicy" by G. W. Leibniz
By this means we obtain an idea of the development of different types of pottery, and the sequence of the types.
"History Of Egypt, Chaldæa, Syria, Babylonia, And Assyria In The Light Of Recent Discovery" by L.W. King and H.R. Hall
A historical sequence may be proper to be observed; but that should be backward and not forward.
"Practical Essays" by Alexander Bain
Ida took another step in her sequence.
"By the Light of the Soul" by Mary E. Wilkins Freeman
In many parts there is little attempt at sequence or order.
"Among Famous Books" by John Kelman
We cannot break the causal sequence without a miracle.
"The Breath of Life" by John Burroughs
No need to bring in anything from the outside; unbroken law, unfailing sequence were everywhere in evidence.
"Modern Religious Cults and Movements" by Gaius Glenn Atkins
The characters involved are too complex to offer any simple sequences.
"Applied Eugenics" by Paul Popenoe and Roswell Hill Johnson
With three honours any two of which are in sequence (not to the ace) the player should lead the higher of the sequence.
"Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3" by Various
The intricate and imbecilic steps of the day he performed in flawless sequence.
"Gigolo" by Edna Ferber
Now I will continue the sequence of events.
"Seen and Unseen" by E. Katharine Bates
There is an evident sequence in the three sayings.
"Expositions of Holy Scripture" by Alexander Maclaren
We must, however, beware of giving too much and too minute attention to the sequences and mutual relations of the parables.
"The Parables of Our Lord" by William Arnot
No system whatever is followed, or even attempted, in the sequence of topics touched upon.
"The Psychology of Singing" by David C. Taylor
Sometimes these take place so rapidly as to seem to be simultaneous, but close examination will reveal a sequence, though rapid.
"How to Add Ten Years to your Life and to Double Its Satisfactions" by S. S. Curry
Gently lower a recently hatched bird into water: coordinated movements of the limbs follow in rhythmical sequence.
"Evolution in Modern Thought" by Ernst Haeckel
Its tree sequence tells the story.
"The Book of the National Parks" by Robert Sterling Yard
Stagnation, degeneracy, and eventual death is merely the natural sequence.
"The Higher Powers of Mind and Spirit" by Ralph Waldo Trine
The sequence in which the commander takes up these considerations is a matter for his own choice.
"Sound Military Decision" by U.s. Naval War College
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In poetry:

They leave the mighty problem
Of Maker and the Made,
Devoid of any sequence,
Or any plan portrayed.
"Needs And Powers" by Jared Barhite
I chafe within the cage of law;
The realm of chance far sweeter is.
I own no love, I feel no awe,
For causes and for sequences.
"Nature And the Book" by Alfred Austin
He who wills life wills its condition sweet,
Having made love its mother, joy its quest,
That its perpetual sequence might not rest
On reason's dictum, cold and too discreet;
"Attraction" by John Charles McNeill
Thy nights shall be as bright as summer days,
The sequence of thy sins shall seem as duty,
Since I have given thee, Oh, Gift of Gifts!--
The pale perfection of unrivalled beauty.
"Song Of The Peri" by Laurence Hope
And suddenly, as in a fairytale sequence,
The family, neighbours and friends will appear,
And-memories crowding-I'll drown in my weeping
Before I have time to have shed all my tears.
"Sometime at a concert hall, in recollection..." by Boris Pasternak
For there is many a small betrayal in the mind,
a shrug that lets the fragile sequence break
sending with shouts the horrible errors of childhood
storming out to play through the broken dyke.
"A Ritual To Read To Each Other" by William Stafford

In news:

Sequences of numbers have long fascinated both amateur and professional mathematicians.
His best title sequences for your dining and dancing enjoyment .
Genome Sequencing's Affordable, and Frightful , Future.
An ESPN production team mentored thirty Full Sail University students involved in shooting the 2012 MLS Cup Playoffs opening sequence.
Scientists have sequenced most of the genome of a creature that vanished from Earth about 4,000 years ago.
Cancer Sequencing Gets the Geospiza Treatment.
About 30 earthquakes strike in 'sequence'.
Cheryl Gleasner, a research technologist at the Los Alamos National Laboratory, works with a genome sequencing machine designed for disease surveillance.
Conventional spin echo MRI demonstrated the masses and the marrow of the adjacent vertebral body to have the same signal characteristics on all pulse sequences.
Seventy years ago, a newly-elected president created a sequence of programs to provide relief for the unemployed, recovery of the economy, and reform of the economic and banking systems.
Another day, another hot urine test, another busted main event and, alas, another (potential) domino sequence.
Diagnosability of systems is an essential property that determines how accurate any diagnostic reasoning can be on a system given any sequence of observations.
A magnitude 3.0 temblor started the latest sequence of shakes.
I propose that the following character sequence for joke markers.
Updated Thursday, Oct 18, 2012, at 12:48 p.m. "Pablo" documents the life of renowned title sequence designer Pablo Farro.
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In science:

For every sequence ~s ∈ p′ let C~s = {t ∈ R : for some sequence ~X the sequence ~Y af ′ (~s)a ~X is a partial play of length ωβ respecting the strategy σ resulting in the sequence ~ra~sa hti}.
Countable Support Iteration Revisited
In fact, a set of finite sequences (where each element-sequence is unpredictable, and the law for producing a new element-sequence cannot be obtained from the observations) can form an infinite unpredictable sequence.
A mechanism for randomness
In order to check this, it suffices to recall that the sequence of entries of the first row is a sequence of i.i.d. variables on R+ with distribution γ , and hence this sequence is stationary.
Random Metric Spaces and Universality
Definition 1.22. A sequence of positive real numbers is cal led Stieltjes if it is the moment sequence of some µ with support in R+ , and Stieltjes determinate if this measure is uniquely defined by the sequence.
Measure convolution semigroups and non-infinitely divisible probability distributions
Let (µn ) be a sequence of probability measures and (kn ) a sequence of integers which tends to infinity such that the sequence µ∗kn tends weakly to µ.
Classical and free infinitely divisible distributions and random matrices
Let (µn ) be a sequence of probability measures on R and (kn ) a sequence of integers tending to +∞ such that the sequence µ∗kn converges weakly to µ.
Classical and free infinitely divisible distributions and random matrices
Let (µn ) be a sequence of probability measures on R and (kn ) be a sequence of integers tending to +∞ such that the sequence µ∗kn converges weakly to µ.
Classical and free infinitely divisible distributions and random matrices
So the truncated version of the coupled sequence of random walks is obtained by substituting the i.i.d. sequence (Ti,n ) with the sequence (T|K i,n).
Level Crossing Probabilities II: Polygonal Recurrence of Multidimensional Random Walks
In general, if a sequence of 0’s builds upward we expect the subsequent sequence of 1’s to be significantly shorter than if the sequence of 0’s backtracks.
Asymptotic Behavior of Random Heaps
But then one can simply remove the circuits Σi , .., Σj−1 from the sequence to obtain a shorter sequence satisfying the one step equivalence of Definition 22, contrary to our choice of a shortest length sequence.
Automorphisms and abstract commensurators of 2-dimensional Artin groups
There are two canonical spectral sequences converging against the de Rham cohomology, namely the Hodge spectral sequence and the conjugate spectral sequence.
Flatness of the mod $p$ period morphism for the moduli space of principally polarized abelian varieties
Here, depending on the context, it can be either a specific sequence which linearly orders the set bdd(a); or, since a sequence of hyperimaginaries is again a hyperimaginary (of a large arity), a fixed hyperimaginary interdefinable with the sequence.
Constructing the hyperdefinable group from the group configuration
Figure 2: A random matrix calculator where a sequence of deterministic and stochastic operations performed on an algebraic random matrix sequence AN produces an algebraic random matrix sequence BN .
The polynomial method for random matrices
The reduction is uniform with respect to the input sequence: a single oracle Turing machine, taking as input a rational upper bound on the dimension of the input sequence, works for every input sequence of positive constructive dimension.
Dimension Extractors and Optimal Decompression
Using Ryabko’s result [42, 43] on optimal reversible compression of sequences, we demonstrate that, for every ǫ > 0 and every sequence S such that dim(S ) > 0, there is a sequence P , Turing equivalent to S , such that Dim(P ) ≥ 1 − ǫ.
Dimension Extractors and Optimal Decompression
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