critical point

Definitions

  • WordNet 3.6
    • n critical point a crisis situation or point in time when a critical decision must be made "at that juncture he had no idea what to do","he must be made to realize that the company stands at a critical point"
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Chambers's Twentieth Century Dictionary
    • Critical point that temperature below which a substance may, and above which it cannot, be liquefied by pressure alone
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Quotations

  • Edith Wharton
    Edith%20Wharton
    “After all, one knows one's weak points so well, that it's rather bewildering to have the critics overlook them and invent others.”

Etymology

Chambers's Twentieth Century Dictionary
Gr. kritikoskrinein, to judge.

Usage

In literature:

Just below this point, across the Gulf of Saros, is the peninsula of Gallipoli, where a critical phase of the war was fought.
"The Story of the Great War, Volume II (of VIII)" by Various
At this point criticism of the Dardanelles campaign became more pronounced and daring in many quarters in England.
"The Story of the Great War, Volume IV (of 8)"
His attitude was severely criticized, but he stubbornly clung to the theory that possession is nine points in law.
"Astounding Stories of Super-Science, May, 1930" by Various
Were such my hypothesis, his criticisms would be very much to the point; but as such is not my hypothesis, they fall to the ground.
"Essays: Scientific, Political, & Speculative, Vol. I" by Herbert Spencer
Joshua provided for them, but the critical newspapers overlooked that point.
"The Big Tomorrow" by Paul Lohrman
The clouds, as a critic has pointed out, are full of sun, not of rain.
"The Venetian School of Painting" by Evelyn March Phillipps
As understanding increases, a critical point is reached, which causes a qualitative change in the human mind.
"Psichopath" by Gordon Randall Garrett
Granting unreservedly all that may be urged upon this point, we may still agree with the judgment pronounced by the most congenial critics.
"Hours in a Library" by Leslie Stephen
When understanding has passed the critical point, conversation as it is carried on by most human beings becomes unnecessarily redundant.
"Fifty Per Cent Prophet" by Gordon Randall Garrett
But he goes appallingly wrong all through on general critical points.
"Essays in English Literature, 1780-1860" by George Saintsbury
Then, presently, the temperature is lowered below the critical point, and, presto!
"A History of Science, Volume 5(of 5)" by Henry Smith Williams
The same point of honour ruled them: a guest was sacred and stood within the pale from criticism.
"The Works of Robert Louis Stevenson, Volume 9" by Robert Louis Stevenson
Criticism which merely points out what is bad is of little value.
"Primary Handwork" by Ella Victoria Dobbs
On two most important points, Dr. Japp added to my knowledge, and with the same blow fairly demolished that part of my criticism.
"The Works of Robert Louis Stevenson - Swanston Edition Vol. 3 (of 25)" by Robert Louis Stevenson
Yet it is equally clear now that in many points the criticism of the Opposition was well founded.
"The Day of Sir Wilfrid Laurier" by Oscar D. Skelton
None the less, however, is the play therefore valuable in a critical point of view, but rather the more so.
"The Galaxy, Volume 23, No. 2, February, 1877" by Various
When it was over and Natalie was on the point of leaving the room, Masson looked at her critically.
"Stories by American Authors, Volume 3" by Various
His book on the first age of the Church takes the critical points as settled, without special discussion.
"The History of Freedom" by John Emerich Edward Dalberg-Acton
We have seen that all of the criticisms have decidedly vulnerable points.
"Sex-education" by Maurice Alpheus Bigelow
President Davis removed General Leonidas Polk, who was thought to have shown hesitancy of action at critical points.
"The Greater Republic" by Charles Morris
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In poetry:

But, ah! there's another more serious crime!
They wickedly strayed upon
The course, at a critical moment of time
(I pointed them out to JOHN).
"Emily, John, James, and I" by William Schwenck Gilbert
The snails brush silver. Critic crow
points his unpleasant beak, and lances.
Resumes his treetop, darts below
his acid-bright, corrosive glances.
"Daybreak" by Gwen Harwood

In news:

The company has been compliant with Hazard Analysis and Critical Control Points since 1995.
Stock market approaching critical point on intermediate cycle .
The latest Des Moines Register poll puts his support in the critical early caucus state at just 8 percent—down 15 points from last month.
Coburn, a pointed critic of government waste, said eliminating Department of Defense spending that has nothing to do with defending the nation could save taxpayers $67.9 billion over the next 10 years.
Taylor's 138-point feat draws high praise, critics.
Mitt Romney is leading President Obama by five percentage points in critical battleground states, according to a USA Today/Gallup poll out Monday - a gain the survey suggests is linked to a spike in support among women.
Michael Schumacher says he is happy he has made Formula 1 tires a talking point after criticizing them for having too big an effect.
Three days after Hillary Rodham Clinton began running television advertisements critical of him, Representative Rick A Lazio shot back yesterday with his own pointed advertisement, even as he promised to take the high road.
Clock management is critical and every point counts.
The sticking point when it comes to the current furor over the use of products given the unappetizing name "meat glue" by critics of the food industry, is labeling, according to a meat expert in Penn State's College of Agricultural Sciences.
A female moped rider was critically injured on Wednesday afternoon, September 12, in Point Loma.
In response to the full-page editorial by Donald W Burton criticizing President Obama, I would like to briefly point out some facts that he neglected to mention in his diatribe.
Let's start out by saying there's no real point in criticizing Twilight.
The big picture remains that Obama leads by around four points, with a similar edge across the critical battleground states.
NASCUS CEO Says Support Has Reached a 'Critical Point'.
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In science:

When the probability that two up spins are linked is properly chosen, the thermodynamic critical point is exactly a geometric critical point characterized by the exponents of the universality class of the Ising model.
Clusters in Simple Fluids
It is interesting to remark that when interactions with next or second neighbours are taken into account, the critical point remains a geometric critical point for Coniglio-Klein clusters 17 (Jan et al., 1982).
Clusters in Simple Fluids
The transformed function AM(f ) has a critical point whenever f has a critical point.
The amplitude modulation transform
Theorem 3.5 For a generic implicit system with local ly bounded derivatives any critical point of its folding is either regular point or critical point of type Whitney umbrel la for the 1-folding of this system.
Generic singularities of implicit systems of first order differential equations on the plane
Corollary 3.7 For a generic implicit system with local ly bounded derivatives any critical point of type Whitney umbrel la this system 1-folding is the critical point of type Whitney fold for this system folding.
Generic singularities of implicit systems of first order differential equations on the plane
For N ∈ [−2, 2], this model possesses a critical point (CP), Kc , while the whole “low-temperature” (low-T ) phase, i.e., Kc < K , has critical universal properties, where the loops are denser than those at the critical point .
Conformal Fractal Geometry and Boundary Quantum Gravity
We just have seen the scaling behavior of the eigenvalue density along the critical line z• = zc (β ), and in the vicinity the double scaling critical point β ∗ , up to the double critical point β ∗ .
Conformal Fractal Geometry and Boundary Quantum Gravity
It may happen that a cascade converges to a critical point of h, but the flow line wil l only remain for a finite time on the critical point.
The Arnold-Givental conjecture and moment Floer homology
Then, upon appropriate tuning of an additional parameter, these two critical points may merge, resulting in a rotationally invariant vectorial (O(N )) critical point.
Critical Hysteresis from Random Anisotropy
Just above the critical point, on a scale determined by the correlation length of the critical point, the random potential scaling is set by bθ with the value of θ at Tc .
Directed polymers and Randomness
Thus, we see that in the weak coupling limit of the Mixed phase the N − 2 “−” critical points of fWeff have growing σ vevs, while the N − 2 “+” critical points have decreasing σ vevs.
A-Model Correlators from the Coulomb Branch
Lemma 7.2 Almost surely, the fol lowing hold: (i) each critical point of U is non-degenerate; i.e., ∆(w) 6= 0 for w ∈ Crit(U ); (ii) the critical set Crit U has no finite accumulation points.
Transportation to random zeroes by the gradient flow
If you drag the lowest zero to the critical point then the other zeros follow it toward the critical point, and at the moment you increase the order of the critical zero there becomes a new “lowest zero”.
Modeling families of L-functions
We will begin by reviewing the structure of the critical points of the moment map and then define an index set B which will enable us to define a partition of Cr(||µε ||2 ), the set of critical points of the function ||µε ||2 .
New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes
Hence, we deduce: (a) The critical points of f|Fc -possibly infinity- are uniformly isolated (w.r.t. the induced metric on the leaf ). (b) There exist r > 0 independent of the critical point c ∈ ∆ such that f (V 2n (c, δ)) ⊂ CP1 contains ¯D (f (c), r), the ball of radius r centered at f (c) w.r.t. gF S .
A higher dimensional generalization of taut foliations
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