There is no impossibility or contradiction in either supposition.
"Christianity and Greek Philosophy" by Benjamin Franklin Cocker
The supposition that the young men of a clan or tribe go off to seek food, and thus found a new clan, has more in its favor.
"Introduction to the History of Religions" by Crawford Howell Toy
On the supposition that the slaves of Besancon were aboard, my heart felt relieved.
"The Quadroon" by Mayne Reid
We have only the general supposition of antiquity that the Trojan war occurred about B.C.
"Museum of Antiquity" by L. W. Yaggy
We own that we see no ground for such a supposition.
"Critical and Historical Essays, Volume III (of 3)" by Thomas Babington Macaulay
But this is an unlikely supposition, for Citizen Broquet died in extreme poverty.
"The Confessions of Arsène Lupin" by Maurice Leblanc
We answer, no; because on that supposition freedom would be a curse and not a blessing.
"Cotton is King and The Pro-Slavery Arguments" by Various
Nevertheless, the spectroscope gives little countenance to the supposition of any considerable permanent light-emission.
"A Popular History of Astronomy During the Nineteenth Century" by Agnes M. (Agnes Mary) Clerke
But soon these thoughts were banished by the supposition that it was simply a note for one of the servants.
"The Cryptogram" by James De Mille
And, all things considered, the latter was the more likely supposition.
"The Radio Boys with the Revenue Guards" by Gerald Breckenridge
No reason, except its importance to us personally, can be alleged for such a supposition.
"Sir William Herschel: His Life and Works" by Edward Singleton Holden
The swift supposition was absurd, because Alice was only about ten, and this girl was grown.
"Valley of Wild Horses" by Zane Grey
What a wild supposition, but good enough for an illustration!
"Literary Tours in The Highlands and Islands of Scotland" by Daniel Turner Holmes
They were soon satisfied that this supposition was unfounded.
"Chronicles of Border Warfare" by Alexander Scott Withers
If I am right in my supposition, there should be five more here in the apartment.
"The Film of Fear" by Arnold Fredericks
Neither of these suppositions can be entertained.
"Essays: Scientific, Political, & Speculative, Vol. I" by Herbert Spencer
In this supposition there is nothing patently absurd.
"Old-Fashioned Ethics and Common-Sense Metaphysics" by William Thomas Thornton
The absurdity of the supposition, indeed, is not fully brought out by the simile.
"Monophysitism Past and Present" by A. A. Luce
This supposition enables us to understand, as will be more fully discussed in the sixth chapter, how the Oriental fauna entered Europe.
"The History of the European Fauna" by R. F. Scharff
The latter supposition seemed the probable one.
"Lost Man's Lane" by Anna Katharine Green
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To solve this problem FLUKA simulation of energy deposition was used with supposition of the primary differential momentum spectra to be a power law with index γ = −2.6 (there is only a weak dependence of exact value of γ ).
Relative abundances of cosmic ray nuclei B-C-N-O in the energy region from 10 GeV/n to 300 GeV/n. Results from ATIC-2 (the science flight of ATIC)
Note that the supposition in the theorem implies that f = Φ−1 g ∈ D(A), the domain of the operator A acting in L2 (Rn ).
Improved Hardy-Sobolev inequalities
Tran. 1825), on the supposition of β being very small.
An Essay on the Application of mathematical Analysis to the theories of Electricity and Magnetism
Now on this supposition DV − D ′V = h D ϕ(y cos ̟ − x sin ̟ ) − (x sin ϕ − y cos ϕ)b d ϕ = D ϕ(cid:2)y(h cos ̟ + b cos ϕ) − x(h sin ̟ + b cos ϕ)(cid:3).
An Essay on the Application of mathematical Analysis to the theories of Electricity and Magnetism
By knowledge on the Zp -base of Exts,∗ A (Zp , Zp ) for (s ≤ 3) we know that the the supposition (I)(II) of the main Theorem A hold for (σ, σ ′ ) = (hn , bn−1 ), (s, tq) = (1, pn q).
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
That is, the supposition )III) of the main Theorem A hold for (σ, σ ′ ) = (hn , bn−1 ), (s, tq) = (1, pn q).
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
A (Zp , Zp ) for s = 1, 2, 3 we can easy to see that the supposition (I) of the main Theorem C hold for (σ, σ ′ , s, tq) = (hn , bn−1 , 1, pn q). Q.E.D.
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
Zp ) for s ≤ 3 we know that the supposition (I)(II)(III) of the main Theorem A hold.
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
This is because the supposition (I) of the main Theorem C hold by the knowledge of the Zp -base of Exts,∗ A (Zp , Zp ) for s = 1, 2, 3. Q.E.D.
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
Zp -base of Exts,∗ A (Zp , Zp ) for s = 1, 2, 3 we know that the supposition (I) of the main Theorem B holds, then the ﬁrst result of the Theorem follows by the main Theorem B.
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
Ext4,∗ A (Zp , Zp ) we know that the supposition (I) of the main Theorem B holds.
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
Then , the second result also follows by the main Theorem B. Q.E.D. alternative Proof : It is known from the proof of Theorem 9.5.1 that the supposition (I)(II)(III) if the main Theorem A hold for (σ, σ ′ ) = (hn , bn−1 ), (s, tq) = (1, pn q).
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
By knowledge on the Zp -base of Exts,∗ A (Zp , Zp ) for s = 2, 3 and some result in on Ext4,∗ A (Zp , Zp ) we know that the supposition (I) of the main Theorem B also holds.
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
Then, the second result follows immediately by the main Theorem B. Q.E.D. alternative Proof : It is known from the proof of Theorem 9.5.2 that the supposition (I)(II)(III) of the main Theorem A hold for (σ, σ ′ ) = (hnhm , hn bm−1 − hm bn−1 ), (s, tq) = (2, pn q + pm q).
English translation of chapter 9 of the book "Adams spectral sequence and stable homotopy groups of spheres" by Jijkun Lin (In Chinese)(Sciences Press, Beijing 2007)
Gonz´alez-L´opez†,‡ Universidade Estadual de Campinas ‡ We propose a new nonparametric test for the supposition of independence between two continuous random variables X and Y .
A nonparametric independence test using random permutations
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