Zr

Definitions

  • WordNet 3.6
    • n Zr a lustrous grey strong metallic element resembling titanium; it is used in nuclear reactors as a neutron absorber; it occurs in baddeleyite but is obtained chiefly from zircon
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Century Dictionary and Cyclopedia
    • Zr In chem., the symbol for zirconium.
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Usage

In literature:

The ZR-2, on a trial flight suddenly burst into flames and crashed into the Humber river.
"Famous Flyers" by J. J. Grayson
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In news:

YEAR TM POS G GS INN TC PO A E DP FPCT RF ZR.
POS G GS INN TC PO A E DP FPCT RF ZR.
ZR rodless cylinders have a completely enclosed sealing system that prevents contaminants from entering pressure chamber.
Take from the Z06 one engine, driveline, rear axle, optional Magnetic Ride Control, optional carbon fiber hood and fenders, mix with ZR-1's rear spoiler and lightweight wheels wrapped in Michelin PS2 rubber.
The "ZR" Ceramic Shears are hand-crafted from advanced high-tech Zirconia ceramic fired at extremely high temperatures.
A senior US Army officer reviews a new piece of hardware, Sharp Electronic's Zaurus ZR-5000FX.
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In science:

V (r)(cid:21) Zr (r, N ), with the initial condition Zr (r, 0) = δ(r).
Force-Induced Melting and Thermal Melting of a Double-Stranded Biopolymer
Let L be a lattice, and V = L ⊗ZR be the associated real vector space with basis {b(i)}.
Conformal field theory, boundary conditions and applications to string theory
A zig-zag path Zr in An is a path of edges going around these white squares.
Non-intersecting Paths, Random Tilings and Random Matrices
From (2.3) it follows that there are exactly r ES-steps in Zr (τ ).
Non-intersecting Paths, Random Tilings and Random Matrices
R. ξ (λ) is real valued, ∈ L1 (R) and tr (A − A′ ) = ZR |ξ |L1 ≤ |A − A′ |1 .
Relative Zeta Functions, Determinants, Torsion, Index Theorems and Invariants for Open Manifolds
Then for ϕ ∈ G , ϕ(A) − ϕ(A′ ) is of trace class and tr (ϕ(A) − ϕ(A′ )) = ZR ϕ′ (λ)ξ (λ) dλ.
Relative Zeta Functions, Determinants, Torsion, Index Theorems and Invariants for Open Manifolds
H − e−tH ′ ) = −t e−tλ ξ (λ) dλ. b) For every ϕ ∈ G , ϕ(H ) − ϕ(H ′ ) is of trace class and tr (ϕ(H ) − ϕ(H ′)) = ZR ϕ′ (λ)ξ (λ) dλ. c) ξ (λ) = 0 for λ < 0.
Relative Zeta Functions, Determinants, Torsion, Index Theorems and Invariants for Open Manifolds
We now continue the real variable x of this transformation to complex values: x → z = (zR , zI ), so that the transformation Wn (t, z ) is defined on the complex plane.
Non-linear Fractal Interpolating Functions
ZGauss (J ; {σi }, {τk }) ≡ ZR,B ,{fj } , where the expressions (38) above for the {fj } and the vectorial representation B = [Ir |J ] are understood.
General duality for abelian-group-valued statistical-mechanics models
T ) − Jφ(T0 )J∗ ] + tr [(J∗ J − I )φ(T0 )] = ZR holds, where φ is an arbitrary bounded continuously differentiable complex-valued function.
A Random Necklace Model
The weighted energy integral associated with Q is defined by EQ(µ) := −Σ(µ) + ZR for µ ∈ M(R).
Inequalities related to free entropy derived from random matrix approximation
Set B (Q) := −EQ (µQ ) so that the function − Σ(µ) + ZR for µ ∈ M(R) Q(x) dµ(x) + B (Q) is non-negative and is zero only when µ = µQ .
Inequalities related to free entropy derived from random matrix approximation
Qµ (x) dµ(x) + ZR −→ B (Q) − B (µ; R) − Z[−R,R] Q(x) dµ(x) = eΣQ (µ) thanks to the fact that µ is the minimizer of the rate function (1.15) with Qµ in place of Q.
Inequalities related to free entropy derived from random matrix approximation
E hM (h1 )M (h2 )i = (h1 , h2)H ≡ ZR+ where we have set, for h ∈ H, M (h) = ZR+×Rd Furthermore, we will assume that F is generated by M .
On the Brownian directed polymer in a Gaussian random environment
Let M be the Coxeter matrix of rank r such that mi,i+1 := mi for i ∈ Zr , and mij = ∞ otherwise.
New deformations of group algebras of Coxeter groups
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