In literature:
The Egyptian defences consisted of a long line of trench (2-1/2 m.) approximately at right angles to the railway and the sweet-water canal.
"Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 1" by Various
The only tax levied by the Khalifa's order was 2-1/2 per cent.
"Ten Years' Captivity in the Mahdi's Camp 1882-1892" by F. R. Wingate
The drakes will weigh from 2-1/2 to 3 pounds and the ducks from 2 to 2-1/2 pounds.
"Ducks and Geese" by Harry M. Lamon
Altogether there are 2-1/2 m. of quay walls, the wharfs being provided with electrical cranage.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3" by Various
Rienzi, Miss., Tuesday, Sept. 2.
"An Artilleryman's Diary" by Jenkin Lloyd Jones
A liter of water weighs 1 kilogram; 1 kilogram of water = 2.2 lb.
"Dietetics for Nurses" by Fairfax T. Proudfit
E Camp Crook, 2; 2 mi.
"Mammals of Northwestern South Dakota" by Kenneth W. Andersen
Achenes brown, linear, 2.2-2.8 mm.
"Seeds of Michigan Weeds" by W. J. (William James) Beal
The river is navigable to within 2-1/2 m. of the town; for the remaining distance a canal has been constructed.
"Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 4" by Various
Gallus, Marbodaeus, 2, 7. garlick, its reputed antagonism to magnetism, 2, 32, 64.
"On the magnet, magnetick bodies also, and on the great magnet the earth" by William Gilbert of Colchester
Projecting to the full list in table 2 (p. 91, herein) the population values are respectively 2,918 and 2,671.
"The Aboriginal Population of the North Coast of California" by Sherburne Friend Cook
Now if 2 K - Q 3, K - Q 2, or if 2 K - K 3, K - K 2, and Black obtains the opposition in both cases.
"Chess Fundamentals" by José Raúl Capablanca
NW Whitehorse, 2; W side Lewes River, 2150 ft., 2 mi.
"Mammals taken Along the Alaska Highway" by Rollin H. Baker
Net 2 rows of colored, 1 of white, netting 2 stitches in every colored one, and finish with 2 rows of colored.
"The Ladies' Knitting and Netting Book" by Miss Watts
For every additional 2 ounces or fraction of 2 ounces up to 12 ounces, 1/2d.
"The Development of Rates of Postage" by A. D. Smith
C. with commercial oil of vitriol, using about 2-1/2 parts of vitriol to 1 of anthraquinone.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 2" by Various
In such cases about 2 cubic centimeters of a 2 per cent.
"Soap-Making Manual" by E. G. Thomssen
Thus 12 = 2 X 2 X 3 = 2 X 3 X 2 = 3 X 2 X 2, but this is regarded as one way only.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 5" by Various
Testes were 3.5(2.0-5.0) mm long, the largest ova were 1.2(.5-2.0) mm, and ovaries were 3.5(3.0-4.0) mm long.
"Birds Found on the Arctic Slope of Northern Alaska" by James W. Bee
Among them 2 with anisometropia of more than 2 D. V. to 1/7 9 cases.
"Schweigger on Squint" by C. Schweigger
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In news:
The Tigers defeated New London-Spicer 3-0, New Prague 2-0 and Farmington 2-0, while losing a close match to Lakeville South 2-1.
Huge 2 Fam Mint, Fin Bsmt, 2 Car Garage, Gran Count, Nr #2 Train, HW Floors, LOW DP, Owner 917-510-7005.
NStar was fined $4.1 million -- $2.2 million for Irene and $1.9 million for the snowstorm WMECO was fined $2 million, and only for its response to the snowstorm.
NStar was fined $4.1 million—$2.2 million for Irene and $1.9 million for the snowstorm WMECO was fined $2 million, and only for its response to the snowstorm.
Jamestown Community College (7-7-2, 4-5-2) and Finger Lakes CC (6-9-2, 6-8-1) played to a 1-1 tie in NJCAA Region 3 Division III men's soccer on Saturday.
UMBC (1-2) meets a familiar foe on Tuesday, Nov 20, when the Retrievers welcome the the Central Connecticut State Blue Devils (2-2).
The first-year savings are projected to be $1.8 million to $2.9 million, followed by $2.5 million to $4.5 million in the second year and $4.2 million to $6 million in the third year, officials said.
Escapes equipped with the 2.0-liter and 2.5-liter engines are not affected, nor are Fusions with a 2.5-liter engine or hybrid engine.
Gabriel Bourque (4 G 2 A last 5 games ), Victor Bartley (2 G 2 A last 5 games ).
1 Hoagie roll (6) -2 tbl spoon butter or margarine -1 tsp of garlic powder -2 large pinches of Parmesan cheese -2 large pinches of Mozzarella cheese -1 small pinch of ground Oregano -½ of cup of Pizza or Spaghetti sauce.
4 Large Red Peppers 2 Tablespoons Olive Oil 1 Tablespoon Balsamic Vinegar 2 Cloves Garlic Minced 2 Teaspoons Salt 1 Teaspoon Pepper 2 Tablespoons Capers 11 Ounces Goat Cheese Room Temp.
Granbury (6-3, 4-2 in 7-4A) at FW Arlington Heights (2-7, 2-4), at Farrington Field Pirates are going to playoffs next week to face 8-4A champion Crowley (8-1).
8 slices of sourdough bread 8 slices of Swiss cheese 2 whole avocados, pitted and sliced 2 cups of spinach leaves 4 ounces of goat cheese 2 tablespoons of butter.
1 (8 ounce) package Feta cheese, crumbled 2 (8 ounce) packages cream cheese, softened 4 tablespoons Kalamata olives, chopped 2 teaspoons garlic, chopped 4 tablespoons extra virgin olive oil 2 teaspoons lemon juice 1 teaspoon dried oregano.
Greek Seasoning salt 2 tsp garlic salt 2 tsp lemon pepper 2 tsp oregano 2 tsp dried mint.
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In science:
Xσ∈SN = e−N (ln 2+β2 /2) eβN √2 ln 2−β ln(N ln 2)+ln 4π Let us now introduce the point process on R given by PN ≡ Xσ∈SN A classical result from the theory of extreme order statistics (see e.g. [LLR]) asserts that the point process PN converges weakly to a Poisson point process on R with intensity measure e−x dx.
Fluctuations of the free energy in the REM and the p-spin SK models
Remark 2.2 If we replace in Proposition 2.1 property 2) by the following weaker property: 2′) let X → Y be a morphism such that F (X ) → F (Y ) is surjective.
Ramification of local fields with imperfect residue fields
Let Γ and γ be covariance matrices of states of a system with one and N canonical S ∈ S p(4, R) and a 2 × 2 covariance matrix γ . let ˜Γ := [S T (Γ ⊕ γ )S ]2 , where [.]2 denotes the 2 × 2 principal submatrix corresponding to the original system.
Conditions for the local manipulation of Gaussian states
The operators U ∗ i∗D ′ 2 iU and (U ∗ i∗D ′ 2 iU )2 are distinct in general and we have still to compare e−t(U ∗ i∗D ′ 2 iU )P ′ and e−t(U ∗ i∗D ′ 2 iU )2 P ′ .
Relative Zeta Functions, Determinants, Torsion, Index Theorems and Invariants for Open Manifolds
An easy calculation yields (i∗D ′ 2 i)ψ − ψ(i∗D ′ i)2 = i∗D ′ 2ψ − ψ i∗D ′ i∗D ′ = = i∗D ′ grad ′ψ ·′ +i∗ grad ′ψ ·′ D + ψ i∗D ′ 2 − −(ψ i∗D ′ 2 + ψ i∗D ′ (i∗ − 1)D ′ ) = = i∗D ′ grad ′ψ ·′ +i∗ grad ′ψ ·′ D ′ − −ψ i∗D ′ (i∗ − 1)D ′ .
Relative Zeta Functions, Determinants, Torsion, Index Theorems and Invariants for Open Manifolds
Remark 2.3 A qualitative and simple argument, showing the convergence of (2.12), is that the measure dµ(B ) = dB |detB |n scales as dµ(tB ) = tm(m+n)dµ(B ), and thus has the same scaling property as dA in (2.2), indicating that the integral (2.12) converges, in view of (2.5).
On the universality of the probability distribution of the product $B^{-1}X$ of random matrices
There exists a partition of Un = SC∈Cn C into disjoint conjugacy classes each of size at most n + 2 and such that in each class C ∈ Cn • wel l label led trees are fairly represented: 2 · |C | = (n + 2) · |C ∩ Wn |, • and for any W ∈ Wn ∩ C , U ∈ C and k ≥ 1, bΛk−2 (U ) ≤ bλk (W ) ≤ bΛk+2 (U ).
Random Planar Lattices and Integrated SuperBrownian Excursion
In 2.3 the problems analyzed in 2.1 and 2.2 are related to the energy conservation principle and the concepts of heat - the meaning of the "First" Principle of Thermodynamics is analyzed and three examples of the conceptual difficult ies emerging from the paradigmat ic view are referred to at 2.3.1, 2.3.2 and 2.3.3.
The Energy-Entropy Principle
Since PSL(2, Fq ) is a subgroup of index 2 in PGL(2, Fq ), the intersection H := G T PGL(2, Fq ) is either a normal subgroup of order 2 in G or trivial (oneelement subgroup).
Very simple representations: variations on a theme of Clifford
If we now assume that the local distribution of vorticity is Gaussian so that χ(σ) = e−α2 σ2 in Eq. (99), then the ω − ψ relationship is linear and can be written ω = −Ω2 (βψ + α), where Ω2 = ω2 is a constant equal to the centered variance of the vorticity distribution.
Generalized thermodynamics and Fokker-Planck equations. Applications to stellar dynamics, two-dimensional turbulence and Jupiter's great red spot
G (cid:0)e−2Φ (R(G) − H 2 ) − (dC )2 (cid:1) where Φ is the dilaton, hexp(−2Φ)i = g−2 str ; R(G) is the curvature of D-dimensional metric, G ≡ detM N GM N , H = dB is the ﬁeld-strength of antisymmetric tensor ﬁeld, related to the solitonic branes while dC is the ﬁeld-strength of the Ramond-Ramond (p + 1)-forms.
String Theory or Field Theory?
Next we consider the assumptions in Theorem 4.3. (a) Our assumption g ≤ −2 is unnecessary, and it could be dropped: If g ∈ R, then it follows easily from (9) and from the property (c) in 2.2 of strictly permissible functions that indeed g ≤ −2. (b) Suppose that −n < g ≤ −2.
A generalized mean value inequality for subharmonic functions and applications
The non-intersection exponents (2.6) and (2.7) of L Brownian paths seen in section 2 are identical to the percolation path crossing exponents for 2ζL = xℓ , 2 ˜ζL = ˜xℓ , so we obtain a complete scaling equivalence between a Brownian path and two percolating crossing paths, in both the plane and half-plane .
Conformal Fractal Geometry and Boundary Quantum Gravity
Eq.(2.1) is the continuity equation, eq.(2.2) is the equation of motion for a free mass point, eq.(2.3) is the parallel transport equation and eq.(2.4) is the energy-momentum conservation equation.
Problems on Foundations of General Relativity
We emphasize that, while technically convenient, the restriction to balanced 2-colorings is not essential for the second moment method to succeed on hypergraph 2-colorability, i.e., one has E[X 2 ] = O(E[X ]2 ) even if X is the number of all 2-colorings.
Random k-SAT: Two Moments Suffice to Cross a Sharp Threshold
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