discontinuity

Definitions

  • WordNet 3.6
    • n discontinuity lack of connection or continuity
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Webster's Revised Unabridged Dictionary
  • Interesting fact: Baskin Robbins once made ketchup ice cream. This was the only vegetable flavoured ice cream produced. However, they discontinued it since they thought it would not sell well
    • n Discontinuity Want of continuity or cohesion; disunion of parts. "Discontinuity of surface."
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Century Dictionary and Cyclopedia
    • n discontinuity The fact or quality of being discontinuous; want of continuity or uninterrupted connection; disunion of parts; want of cohesion. See continuity.
    • n discontinuity In mathematics, that character of a change which consists in a passage from one point, state, or value to another without passing through a continuously infinite series of intermediate points (see infinite); that character of a function which consists in an infinitesimal change of the variables not being everywhere accompanied by an infinitesimal change (including no change) of the function itself. An essential discontinuity is a discontinuity in which the value of the function becomes entirely indeterminate.
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Quotations

  • Bill Dana
    Bill Dana
    “He is so old that his blood type was discontinued.”
  • Irvin S. Cobb
    Irvin S. Cobb
    “An epitaph is a belated advertisement for a line of goods that has been discontinued.”
  • Source Unknown
    Source Unknown
    “I've decided to discontinue my long talks. It's because of my throat. Someone threatened to cut it.”

Usage

In literature:

The practice, however edifying, has been discontinued, in consequence of the incident we are about to detail.
"The Heart of Mid-Lothian, Complete, Illustrated" by Sir Walter Scott
During the whole twelve months of my imprisonment the illustrations were discontinued by my express order.
"Prisoner for Blasphemy" by G. W. [George William] Foote
The work at the gallery had been discontinued for some time.
"Rujub, the Juggler" by G. A. Henty
Valerie laughed; but during the rest of the excursion she remained thoughtful and absent, and for some days their rides were discontinued.
"Ernest Maltravers, Complete" by Edward Bulwer-Lytton
The agent had orders to discontinue sending wine.
"The Virginians" by William Makepeace Thackeray
And this practice was continued until the time of King Edward, who was choked to death; after which it was discontinued.
"Lectures of Col. R. G. Ingersoll, Volume I" by Robert Green Ingersoll
The alkalies must be gradually discontinued, but the quinia continued.
"Scientific American Supplement No. 299" by Various
Hence the printing of the journals was discontinued.
"Roughing It, Part 3." by Mark Twain (Samuel Clemens)
The Austrians gradually slackened, and finally discontinued their fire; this was the moment to resume the attack.
"Charles O'Malley, The Irish Dragoon, Volume 2 (of 2)" by Charles Lever
Why had he discontinued his visits to her?
"The Dream" by Emile Zola
Yet what will not the discontinuance cost me!
"Clarissa, Volume 2 (of 9)" by Samuel Richardson
At this point, discontinue the stirring if possible.
"Woman's Institute Library of Cookery, Vol. 5" by Woman's Institute of Domestic Arts and Sciences
If it was not enough to ruin the miners it was at least enough to clean them out of ready cash and discontinue the game on that basis.
"Gunman's Reckoning" by Max Brand
He received anonymous letters threatening him with violence unless he discontinued them.
"The Anti-Slavery Examiner, Part 2 of 4" by American Anti-Slavery Society
Of course it was taken, and the visits discontinued.
"No Quarter!" by Mayne Reid
The spectators had discontinued their shouts; and once more a profound silence reigned throughout the camp.
"The White Gauntlet" by Mayne Reid
Of course, it will be for you to say if this correspondence should be discontinued.
"Luttrell Of Arran Complete" by Charles James Lever
The only discontinuities here considered will be those known as ordinary discontinuities.
"Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 6" by Various
This ferry changed ownership repeatedly and was discontinued when the bridge was built.
"Fifty Years In The Northwest" by William Henry Carman Folsom
They were condemned and discontinued even in the time of the Apostles.
"Curiosities of Christian History" by Croake James
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In poetry:

Gordon, mounted, loq.
Ho ! you chap of grit and sinew,
Smoking in your pit,
Why thus labour discontinue ?
Why your forehead knit ?
"The Patrol And The Gold-Digger" by Adam Lindsay Gordon
'Alas, dear friend, that, all my days,
Hast poured from that syringa thicket
The quaintly discontinuous lays
To which I hold a season-ticket.
"The Nightingale In The Study" by James Russell Lowell
And here are peaches with their ruddy cheeks
And ripe transparency. Here nectarines bloom,
All mottled as with discontinuous streaks.
And spread a fruity fragrance through the room.
"A Basket of Summer Fruit" by Charles Harpur
The rustling of the silk is discontinued,
Dust drifts over the court-yard,
There is no sound of foot-fall, and the leaves
Scurry into heaps and lie still,
And she the rejoicer of the heart is beneath them:
"Liu Ch'e" by Ezra Pound

In news:

And some people taking Zyrtec report unbearable itching upon discontinuation.
This morning, I made a shocking discovery: Two of my frequently used beauty products have been discontinued.
The old paper licences and application forms are being discontinued and the new cards will be phased in as licences are renewed.
Conservatives rightly see the break in liturgical norms as part of a greater break, what the Pope has called an "hermeneutic of discontinuity" that sometimes threw the baby out with the bathwater while implementing Vatican II.
The Clallam County PUD Board of Commissioners voted unanimously Feb 13 to discontinue the pursuit of an LUD because it wasn't financially feasible.
The NCX and KPX services have been discontinued.
Morphine injection, Hospira 1 mg/mL 10 mL amp, package of 5 (NDC 00409-4058-21) - discontinued.
Microsoft says it will not compete with security companies like Symantec or McAfee, despite its announced plans to discontinue sales of its subscription-based security service and instead offer free security software for users to download.
Eric Prather works at the Saturn of Silver Spring dealership GM, which is discontinuing its Saturn line, plans to close a large number of dealerships.
An historic name in software will effectively pass into history in February as AOL discontinues development and active support for the Netscape browser, according to an official blog.
"Reduced practice time and discontinuity affect offences more severely than defences," Mr Tanier wrote, paraphrasing Warren Spahn.
The decision to discontinue the shadowing program for sixth graders is an absolute travesty.
Asahi will discontinue its direct sales efforts, and will rely on its reseller network for all sales and technical support activities.
Praxis 3 and the state-supported entry year program have been discontinued, and beginning Fall 2011, all newly licensed teachers must participate in the Resident Educator Program in order to advance to professional licensure.
The Chemical Education Resource Shelf has been discontinued.
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In science:

Hβρ , as expected. i.e. again, according to (83) of , we have: ℓµHβρ Therefore the set (51) of compatibility conditions, together with ordinary Einstein Equations to hold on each side of the discontinuity hypersurface, defines the class of generalized regularly discontinuous solutions of the Einstein equations.
Generalized regularly discontinuous solutions of the Einstein equations
Leta, b > 0 and let a, b ∈ piecewise-C 0 be regularly discontinuous on Σ and with regularly discontinuous first derivatives.
Generalized regularly discontinuous solutions of the Einstein equations
Let moreover a, b, c > 0 and let a, b, c ∈ piecewise-C 0 be regularly discontinuous on Σ and with regularly discontinuous first derivatives.
Generalized regularly discontinuous solutions of the Einstein equations
The condensation transition at αc corresponds to the Kauzmann temperature in the theory of glasses; at αc the total entropy stot (α) has a discontinuity in its second derivative with respect to α, in analogy with the discontinuity of the specific heat at the Kauzmann temperature.
Random subcubes as a toy model for constraint satisfaction problems
In this connection, we note that although the sum-function corresponding to a nonuniformly convergent series of continuous functions need not be discontinuous, such discontinuity is fundamentally ruled out in the domain where the latter series is uniformly convergent (§ 45 in Ref. 46), § 344 in Ref. 48)).
On the Luttinger theorem concerning number of particles in the ground states of systems of interacting fermions
We see from Theorem 4.6 that |E0 (λ)| > 1 exactly when bµ(λ) is discontinuous, and that all discontinuities are jump discontinuities: bµ jumps form bµ∗ (λ) to bµ∗ (λ).
Random graphs with forbidden vertex degrees
Note that, since the thermal structure of the conduction front/contact discontinuity does not change much during the lifetime of the PN, the ionization fractions remain rather stationary with respect to the front/discontinuity.
The evolution of planetary nebulae. V. The diffuse X-ray emission
For any weighted graph G , the path space P (G ) is defined as the set of right-continuous functions from [0, ∞) to G with infinitely many discontinuities and finitely many discontinuities on compact intervals, endowed with the canonical σ -algebra generated by the coordinate pro jections.
Random walks on discrete cylinders with large bases and random interlacements
QRFIM with λ (cid:54)= 0; a discontinuity in the magnetization brings with it also a discontinuity in all odd correlation functions.
On Spin Systems with Quenched Randomness: Classical and Quantum
We may now ask whether the randomness in the external field, corresponding to  (cid:54)= 0, which removes the discontinuity in (cid:104)σx (cid:105) also removes the discontinuity in all the odd correlation functions when averaged with respect to the randomness.
On Spin Systems with Quenched Randomness: Classical and Quantum
While Theorem 1 assures that randomization of the bond strengths will eliminate the energy discontinuity, it does not address the persistence or not of the discontinuity in the spontaneous magnetization.
On Spin Systems with Quenched Randomness: Classical and Quantum
At the moment it is not clear to us whether for the 1/r2 Potts models the discontinuity in M (T ) may coincide with a discontinuity in the energy.
On Spin Systems with Quenched Randomness: Classical and Quantum
Randomization of the pair interaction would remove the discontinuity in the energy, if there was one, but unlike for the case discussed above we do not expect bond randomness to remove the discontinuity in M (T ) at the (possibly altered) critical temperature.
On Spin Systems with Quenched Randomness: Classical and Quantum
When 0 < x ≤ 1, there is no discontinuity in n(k); but when x > 1, there is a discontinuity in n(k).
Unconventional Fermi surface in two-dimensional systems of Dirac fermions
Then ϕu has exactly e(Ru ) discontinuity times corresponding to the chords that lie in the boundary of Ru (indeed the left and right limits of ϕu at a discontinuity time are the endpoints of a chord adjacent to Ru ).
Random recursive triangulations of the disk via fragmentation theory
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