Impossible quantity

Definitions

  • Webster's Revised Unabridged Dictionary
    • Impossible quantity (Math) an imaginary quantity. See Imaginary.
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Usage

In literature:

Property is impossible, because its power of Accumulation is infinite, and is exercised only over finite quantities.
"What is Property?" by P. J. Proudhon
It is impossible to estimate the enormous quantity of labor that is expended there.
"The Kreutzer Sonata and Other Stories" by Leo Tolstoi
His life had made it impossible to keep one horse very long at a time, and this one was an unknown quantity.
"The Lone Star Ranger" by Zane Grey
For them there is no such thing as the impossible, nothing is improbable; fairyland is a constant quantity and the supernatural quite familiar.
"Maupassant Original Short Stories (180), Complete" by Guy de Maupassant
It had, moreover, carried a quantity of cloth into the wound, and it was almost impossible to cleanse the hole satisfactorily.
"Gunman's Reckoning" by Max Brand
From the quantity of iron in the rocks at Victoria, it was impossible to get any satisfactory observation for the variation of the compass.
"Discoveries in Australia, Volume 1." by J Lort Stokes
What limit we can assign to the quantity of butter used it is impossible to say.
"Cassell's Vegetarian Cookery" by A. G. Payne
Leather was scarce and its supply impossible in the quantities demanded.
"The Victim" by Thomas Dixon
It is impossible to determine in any way the future production of natural gas, or to guess at the quantity remaining in the earth.
"Checking the Waste" by Mary Huston Gregory
To manufacture it in sufficient quantity would be impossible in any civilised country without fear of detection or interruption.
"The Crack of Doom" by Robert Cromie
At first it was thought that it was impossible to estimate its quantity by chemical analysis.
"Manures and the principles of manuring" by Charles Morton Aikman
Upon attaining the depth of several meters water is often met with, and in such considerable quantity that it is impossible to proceed.
"Scientific American Supplement, No. 647, May 26, 1888" by Various
When the present quantity of cash in the bank is paid away, it is next to impossible to see how any new quantity is to arrive.
"The Writings Of Thomas Paine, Complete" by Thomas Paine
When the present quantity of cash in the bank is paid away, it is next to impossible to see how any new quantity is to arrive.
"The Writings Of Thomas Paine, Volume III. 1791-1804" by Thomas Paine
It was impossible to resist him, and stones were brought him in quantities.
"Brother Francis" by Eileen Douglas
Given a quantity of malleable iron and a fire, it would not be an impossible task to construct some rough tools.
"His Unknown Wife" by Louis Tracy
A really pathetic scene is impossible without a quantity of hair worn quite high on the head.
"Plays: Lady Frederick, The Explorer, A Man of Honor" by William Somerset Maugham
As the quantity of contained water increases it becomes difficult or even impossible to detonate by an ordinary blow.
"Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6" by Various
Transportation by land from San Diego is impossible for large quantities of stores.
"History of the State of California" by John T. Frost
The same intuition is at the root of the conception of the impossibility of limiting the divisibility of mathematical quantity.
"The Catholic World. Volume III; Numbers 1, 2, 3, 4, 5, 6." by E. Rameur
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In science:

But in typical experiments, including the one by Brida et al., the quantity η so defined is rather small with the consequence that the inequality (7) is very well fulfilled, thus making the tests of the LH V 1 familly vs.quantum mechanics almost impossible.
Analysis of a recent experimental test of Bell inequalities violating quantum predictions
Unfortunately, Theorem 4 tells us that this is impossible with our deconvolution framework, since the p(n) , which are the quantities we can find through deconvolution, have no dependency to them.
Asymptotic Behaviour of Random Vandermonde Matrices with Entries on the Unit Circle
The UUB depending on such uncontrollable quantities as weights makes it impossible to provide practically valuable guarantees of the closed-loop system performance.
Feasibility of random basis function approximators for modeling and control
Since all the observable quantities related to background evolution, are constructed out of H (z ), it is practically impossible to distinguish these models from ΛCDM using the current data.
The thawing dark energy dynamics: Can we detect it?
As we will see, this diffusion approximation has many consequences for questions of practical importance, as several quantities of interest have exact formulae in this approximation (while in the discrete model, these quantities would often be hard or impossible to compute exactly).
Recent progress in coalescent theory
What is more disturbing, is the fact that the quantities Ψ and t∗ are more or less impossible to compute in an explicit form, and this makes Lemma 3.4 not a very good starting point for further investigations.
Hopfield models as generalized random mean field models
For “radiation” fields (examples of which are easy to write down explicitly), both of these quantities vanish identically, so such a frame is impossible for nonzero radiation fields.
Comment on Phys. Rev. D 60 084017 "Classical self-force" by F. Rohrlich
Remark 2 As we can see, it is impossible to have any information about the real behavior of the quantities since they depend on several integration constants.
About Bianchi I with VSL
Since it is impossible to either measure or calculate states beyond LO with two and only two jets, due to soft radiation, one can form quantities from the leading two jets, and ignore other energy in the event.
QCD Tests in Proton-Antiproton Collisions
However, in view of the absence of information about the NNLO perturbative corrections to this quantity, it is impossible at present to check the advantages of this choice self-consistently.
Radiative QCD Corrections: A Personal Outlook
This term makes it impossible to make an exact, local calculation of these quantities in terms of their initial values (Kofman & Pogosyan  ).
THE GUNN-PETERSON EFFECT FROM UNDERDENSE REGIONS IN A PHOTOIONIZED INTERGALACTIC MEDIUM
Further, carrying out any meaningful analysis while these quantities are sub ject to changes in time is impossible.
Comparison of Field Theory Models of Interest Rates with Market Data
The constants µ and β are determined by Eqs. (1) and (2), though it is generally impossible to find an exact analytic expression for them in terms of the conserved quantities ρ and ρu; rather one must solve for them numerically or perform a Taylor expansion in Mach number.
Galilean-Invariant Lattice-Boltzmann Models with H-Theorem
The first condition is impossible unless 4The introduction of this quantity is suggested by the procedure followed by Silva & Navaza (1981) and Navaza & Navaza (1992).
The Algebraic Approach to the Phase Problem for Neutron Scattering
At present, all this make impossible to directly confront theory and experiments in K → 2π , especially in delicate quantities such as ε (cid:48)/ε .
KAON 2007: Conference Summary
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