In literature:
And here they were pushed up and down the field, the score 8 to 0, and likely to be 28 to 0 before the end.
"A Boy Knight" by Martin J. (Martin Jerome) Scott
When the acidity increases to 0.6 to 0.7 per cent, the milk curdles at ordinary temperatures.
"Outlines of dairy bacteriology" by H. L. Russell
One female has a snout-vent length of 41.0 mm., tibia/snout-vent length ratio of 0.57, and tympanum/eye ratio of 0.76.
"The Systematics of the Frogs of the Hyla Rubra Group in Middle America" by Juan R. León
Consider a solution of F = 0 expressed by the three independent equations F = 0, G = 0, H = 0.
"Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 4" by Various
L1 0 0 for the F. that come from St George 1 Small came Wiegate went to Wilson.
"The Diary of a Resurrectionist, 1811-1812" by James Blake Bailey
The wire is 0.032 inch in diameter.
"The Galaxy, May, 1877" by Various
The largest minority group, which numbered about 0.7 million people, was Turkish.
"Area Handbook for Bulgaria" by Eugene K. Keefe, Violeta D. Baluyut, William Giloane, Anne K. Long, James M. Moore, and Neda A. Walpole
The rural population grew by about 0.5 million, from 11.9 million to 12.4 million, between 1945 and 1971.
"Area Handbook for Romania" by Eugene K. Keefe, Donald W. Bernier, Lyle E. Brenneman, William Giloane, James M. Moore, and Neda A. Walpole
Exports to Germany had increased from 0.13 to 6.75%, to the United States from 0.26 to 6.70%.
"Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 1" by Various
H = 0.5-6.0, G = 3.0-4.2.
"The Elements of Blowpipe Analysis" by Frederick Hutton Getman
Many mature plants are not taller than 0.4 to 0.8 in.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 1" by Various
It is a colourless, odourless gas of specific gravity 0.967 (air = 1).
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3" by Various
We had made one run and the ninth inning rolled around with the Giants still leading, 1 to 0.
"Pitching in a Pinch" by Christy Mathewson
Its specific gravity is 6.739, and its specific heat 0.0877.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 7" by Various
Sitting at rest 0.65 calorie per hour, per lb.
"Dietetics for Nurses" by Fairfax T. Proudfit
Dorsal fin in females and immature animals up to 3 feet (0.9 m), distinctly falcate.
"Whales, Dolphins, and Porpoises of the Western North Atlantic" by Stephen Leatherwood
These specimens have body lengths of 49.0 and 45.0 mm.
"The Amphibians and Reptiles of Michoacán, México" by William E. Duellman
The sizes of orifice recommended by Plattner are 0.4 and 0.5 mm.
"Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 1" by Various
Maximum height ranges from 8.0 to 11.0 mm., and maximum width from 8.0 to 13.0 mm.
"A New Genus of Pennsylvania Fish (Crossoperygii, Coelacanthiformes) from Kansas" by Joan Echols
N Frontera, MCZ 35665-70; 0.8 km.
"Middle American Frogs of the Hyla microcephala Group" by William E. Duellman
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In news:
11 Denny Hamlin Toyota 41 24 266 0 Running 0 0 0.
24 Jeff Gordon Chevrolet 15 1 267 14 Running 0 0 0.
Christofferson 2-8 5-5 10, Zimmerman 0-2 0-0 0, Prins 4-18 0-0 10, Bingley 0-1 0-0 0, Williamson 2-6 0-0 6, Moody 5-12 0-0 12, Blaskowsky 2-10 0-0 4, Ellis 0-0 0-0 0.
3-Point Goals: 4-22,182 (Harris 1-2, Jerrell 1-3, Matthew 1-3, Carter 1-3, Powell 0-1, Mells 0-2, Bettis 0-4, Henderson 0-4).
Mt Horeb 3-0, Portage 1-0, Waunakee 1-0, Reedsburg 1-1, Sauk-Prairie 1-1, Baraboo 0-2, De Forest 0-3.
Baraboo 2-0, Waunakee 1-0, De Forest 1-0, Reedsburg 1-1, Sauk-Prairie 1-1, Portage 0-2, Mount Horeb 0-2.
Schwartz scored early in the first period and late in the second for the Tigers (6-3-0, 3-0-0).
CCD- Kribs 2 0 4, Nicholas 3 4 10, Birrman 1 0 2, Broomfield 2 0 4, Hoeh 1 0 2, Chorbi 4 0 8.
Barnes 3-8 2-4 8, Lee 9-18 4-4 22, Ezeli 0-1 0-0 0, Curry 4-10 0-0 9, Thompson 11-21 0-0 27, Landry 0-3 4-4 4, Green 2-5 2-2 7, Jack 9-14 0-0 20, Jenkins 0-1 0-0 0.
Salmons 7-14 1-1 16, Outlaw 1-6 4-4 6, Thompson 4-10 0-1 8, Brooks 3-11 3-3 10, Garcia 1-5 1-2 3, Evans 6-15 4-5 17, Robinson 3-9 2-2 8, Johnson 0-1 0-0 0, Thomas 2-5 2-2 6, Fredette 4-8 1-1 9, Hayes 1-2 0-0 2.
Prince 4-9 0-0 8, Maxiell 6-11 6-10 18, Monroe 1-9 4-6 6, Knight 8-16 2-2 20, Singler 4-12 1-2 9, Stuckey 5-12 5-5 17, Drummond 3-4 1-2 7, Villanueva 1-4 0-0 3, Maggette 2-4 2-4 6, Bynum 0-0 0-0 0.
Robinson was victorious, 6-0, 6-0, and 6-0 in her matches.
Allentown Central Catholic 0 0 6 0-6.
Baru 3-8 2-2 8, Thomas 5-9 0-3 11, W. Hall 2-5 8-10 12, Lawrence 3-6 1-2 10, Stitt 4-8 1-3 10, Sundberg 1-2 0-0 3, N. Johnson 3-4 0-0 9, T.
1-0-0-1 France: 1-0-0-1 Italy wins 5-3 on penalty kicks.
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In science:
At Ω0 = 0 the ground state (for which sz = 0) corresponds to the ﬁlled lower subband and the empty upper subband and the energy spectrum exhibits a gap ∆(0) = ||I1 | − |I2 || (this is the energy required to create a hole in the lower subband — the ﬁrst excited state of the spin chain (with sz 6= 0)).
Thermodynamic properties of the periodic nonuniform spin-1/2 isotropic XY chains in a transverse field
The details can be traced in Fig. 18 where we plotted the dependence E (δ) − E (0) vs δ for different Γ considering two mean values of the random transverse ﬁeld Ω0 = 0.1 and Ω0 = 0.3 and in Fig. 19 where we illustrated the vanishing and appearance of the minimum at δ⋆ = 0 with increase of randomness.
Thermodynamic properties of the periodic nonuniform spin-1/2 isotropic XY chains in a transverse field
The φ0 -differential of A allows us to deﬁne, in a natural way, the φ0 -Lie derivative by a section X ∈ Γ(A), (Lφ0 )X , as the commutator of dφ0 and the contraction by X , that is, (Lφ0 )X = dφ0 ◦ iX + iX ◦ dφ0 .
Generalized Lie bialgebroids and Jacobi structures
The triple (A, [[ , ]], ρ) is a Lie algebroid and φ0 is a 1-cocycle. ii) The triple ( ˜A, [[ , ]]ˆφ0 , ˆρφ0 ) is a Lie algebroid. iii) The triple ( ˜A, [[ , ]]¯φ0 , ¯ρφ0 ) is a Lie algebroid.
Generalized Lie bialgebroids and Jacobi structures
Let L (respectively R) be the group of co-ordinate changes in (Cn , 0) (respectively in (C, 0)), i.e., the group of germs of non-degenerate analytic maps (Cn , 0) → (Cn , 0) (respectively (C, 0) → (C, 0)), let A = L × R.
Simple singularities of multigerms of curves
Then Im(F ) ∩ Im(F )0 = 0, the restriction of ω on Im(F ) ⊕ Im(F )0 is non–degenerate and the orthogonal complement V ′ of Im(F ) ⊕ Im(F )0 with respect to ω coincides with the orthogonal complement of Im(F ) ⊕ Im(F )0 with respect to a Hermite form.
Moore-Penrose inverse, parabolic subgroups, and Jordan pairs
If q 6= 0 and singular, i.e. of the form (γ + iδ, −δ + iγ ) or (γ + iδ, δ − iγ ), the equations admit no solution (since they imply either sin(y + z ) = 0 ∧ cos(y + z ) = 0 or sin(y − z ) = 0 ∧ cos(y − z ) = 0).
Bicomplex algebra and function theory
X ) = η (X ′ ) = Y , η (P ) = P , η (1) = 1 and, for states φ, ψ on C[Y ], let φ0 = eφ ◦ η , ψ0 = eψ ◦ η with the convolution φ0 ⋆ ψ0 = φ0 ⊗ ψ0 ◦ ∆ where ∆ is the coproduct for B.
Filtered random variables, bialgebras and convolutions
P )}t≥0 converges weakly to a process {b(t)}t≥0 , deﬁned in terms of the Brownian motion {Bt}t≥0 ; Indeed, b(t) is the location of the bottom of the smallest valley of {Bt}t≥0 , which surrounds 0 and has depth t.
Aging properties of Sinai's model of random walk in random environment
However, in ﬁrst order of the ε–expansion all FPs with u > 0, v > 0, w < 0 appear to be unstable for ε > 0 except of the “polymer” O(n = 0) FP III which is stable for all m but not accessible (see Fig. 2).
Phase Transition in the Random Anisotropy Model
For any spin graph α with root 0 call γ (α, 0; N , N + d) N -annulus of width d, γ (α, 0; 0, N ) - N -internal, γ (α, 0; N , ∞) - N -external parts correspondingly.
Gibbs and Quantum Discrete Spaces
Prove that the ﬁnite Gibbs family with the deﬁned boundary conditions is a unit measure on γ (αn , (0, 0); 0, N ), that is the random graph G coincides a.s. with the graph γ (αn , (0, 0); 0, N ).
Gibbs and Quantum Discrete Spaces
Adjoint substitution rule S ub∗ = (Γ∗ , Γ′∗ , V ∗0 , V ′∗0 , ϕ∗ ) to the substitution rule S ub is deﬁned by the properties: Γ∗ = Γ′ , Γ′∗ = Γ, V ∗0 = V ′0 , V ′∗0 = V0 , ϕ∗ = ϕ−1 .
Gibbs and Quantum Discrete Spaces
We have therefore a short exact sequence s−−−→ Rm −−−→ N −−−→ 0. 0 −−−→ Rℓ Proceeding as in [27, page 368] and taking into account that N is a torsion module with respect to Ff c and thus Nf c = 0, we get an exact sequence s−−−→ Rm 0 −−−→ Rℓ f c −−−→ 0.
$K_0$ of purely infinite simple regular rings
In view of 4.1(a) it is enough to show that for e′ ∈ YC , the following two conditions are equivalent: (iii) for any e ∈ XQ − {0} such that he, ˇαi ≥ 0 for all α ∈ Π we have ζ (exphe, e′ i)/ζ (v0 ) > 0; (iv) for any x ∈ X + − {0} we have ζ (x(t0 ) exphx, e′ i)/ζ (v0 ) > 0.
Classification of unipotent representations of simple p-adic groups,II
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