3 some scalar properties of matrices
Báo cáo khoa học: "FACTORING RECURSION AND DEPENDENCIES: AN ASPECT OF TREE ADJOINING GRAMMARS (TAG) AND A COMPARISON OF SOME FORMAL PROPERTIES OF TAGS, GPSGS, PLGS, AND LPGS " pot
... n ~ 0}, w is a string of a's and b's such that (1) the number of a's = the number of b's and (2) for any initial substrlng o f w, t h e n u m b e r of a's ~ t h e number of b ' s } -r S A ~z" ... linguistically significant With some modifications of TAG's or rather the operation of adjoinlnR, which Is linguistically motivated, it is possible to generate L2 and L3, but only in some special ways (This ... transformations essentially carry out the checking of the dependencies The PiG's and LFG's share this aspect 'of TG,i.e., tee.talon builds up a set of structures, some of w h i c h are filtered out by transfotn~atlons...
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Báo cáo hóa học: " Some psychometric properties of the Chinese version of the Modified Dental Anxiety Scale with cross validation" pptx
... 0 .34 0 0.294 0.705 0.578 0.658 0 .37 5 0 .34 3 0 .30 2 0 .31 2 0 .33 8 0 .31 3 0.599 0.774 0 .32 2 0 .31 8 0.292 0 .30 7 0 .33 0 0 .30 0 0.507 0.225 0.245 0.1 83 0.2 43 0.262 0 .31 2 0 .36 3 0.286 0 .31 3 0 .30 0 0.295 0.1 93 ... 0.1 83 0.197 0.115 0.149 0.188 0.6 73 0.227 0.254 0.1 73 0.1 93 0.158 0.189 0.166 0.221 0.176 0.154 0.144 0.164 0 .36 1 0 .35 7 0.225 0.256 0 .30 3 0.456 0 .33 4 0 .39 3 0.2 13 0 .32 4 0 .38 6 0 .30 9 0. 439 0. 235 ... 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 andrews.ac.uk/supplemental/humphris/dentalAnxiety.htm] (Accessed 2nd April 2008) Weiner AA, Sheehan DV: Etiology of dental...
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Báo cáo toán học: " Some certain properties of the generalized hypercubical functions" ppt
... values of contour functions where k is known Dimension k Optimal dimension n0 maxHC Error 3. 461 632 145 1.12901 738 8 6.619 × 10-15 2.461 632 145 2.25 834 7771 3. 818 × 10-14 1.461 632 145 9. 033 3910 83 -3. 179 ... r k−1 k =3 ∨ 8r n−1 (n) 2k r k+n 3 (k + 1) (k + n − 2) ∨ n=2 ⇒ 24r ≡ 6a2 , k =3 n=2 or for the solid level (2r)k k =3 ∨ 48r n (n + 1) ∨ n =3 2k r k+n 3 (k + 1) (k + n − 2) ⇒ 8r ≡ a3 k =3 n =3 This ... degrees of freedom Dimension n Optimal dimension k0 minHC Error -1 2.680571494 -6.2786205562 4.2 93 × 10-12 1.64820 731 7 -1.1780 735 642 1.940 × 10-11 0.584187070 -1.442695041 -0 .36 41 730 147 -0. 530 737 8454...
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Báo cáo hóa học: " Research Article Some Limit Properties of Random Transition Probability for Second-Order" potx
... following, we will investigate some properties of the harmonic mean of the transition probability of nonhomogeneous Markov chains on the tree To First, we give the definition of nonhomogeneous Markov ... ak k 1, 2, 2 .30 If there exists a > such that lim sup n→∞ n a/ak e nk M < ∞, 2 .31 then lim n→∞ n n k Pk Xk | Xk−1 −1 N a.e 2 .32 Proof When the successor of each vertex of the tree To has ... predecessor of t Let X A {Xt , t ∈ A}, and let xA be a realization of X A and denote by |A| the number of vertices of A Definition 1.1 Let G {1, 2, , N} and P z | y, x be nonnegative functions on G3...
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SOME REGULARITY PROPERTIES OF VISCOSITY SOLUTIONS DEFINED BY HOPF FORMULA
... operator of convex functions In this paper we study properties of characteristics of the Cauchy problem where H = H(p) in connection with formula (1.4) Then we present some results on the existence of ... x) and the set of minimizers of (CV )t,x is established for convex Hamiltonian H(t, x, p) in p in [5], Th 6.4.9, p.167 Regularity of Hopf formula 3. 1 Strip of differentiability of Hopf formula ... suggest a classification of characteristic curves at one point of the domain and then study the differentiability properties of Hopf formula u(t, x) on these curves In section 3, we present the conditions...
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SOME INTERESTING PROPERTIES OF WHILE HOLE IN THE VECTOR MODEL FOR GRAVITATIONAL FIELD
... (g00 )2 (v )2 + g00 g11 (v )2 (36 ) (37 ) We have from (3) : g00 g11 = −1 Substituting this and (34 ) into (37 ), we get (38 ) k − (v )2 = g00 = − rS /r + 0.015(rS )2 /r2 (39 ) (v )2 = k − + rS /r − 0.015(rS ... v ) + v = =0 ds ds ds (32 ) (33 ) This integrates to g00 v = k with k is an integration( the value of g00 where the particle starts to fall) From ds2 = gµν dxµ dxν (34 ) (35 ) We have = gµν v µ v ... + 0. 03 2 ) r c r Therefore mg G2 Mg2 mg GMg + 0. 03 ) c2 r2 c2 r3 G2 Mg2 GMg mr = mg (− + 0. 03 ) r c r Fg = (− (5) (6) (7) (8) Due to mi = mg (9) we have G2 Mg2 GMg + 0. 03 ) (10) r2 c2 r3 The...
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Báo cáo khóa học: Some properties of human small heat shock protein Hsp20 (HspB6) potx
... alphaA-crystallin J Biol Chem 275, 37 67 37 71 35 Brophy, C.M., Lamb, S & Graham, A (1999) The small heat shock-related protein-20 is an actin-associated protein J Vasc Surg 29, 32 6 33 3 36 Buchner, J., Ehrnsperger, ... (3) , 0. 13 mgÆmL)1 (4) or 0.26 mgÆmL)1 (5) of the wild-type Hsp20 (A), the S16D mutant of Hsp20 (B), or a-crystallin (C) (D) Comparison of the effect of different small heat shock proteins (0. 13 ... presence of either a-crystallin (0. 13 mgÆmL)1) (2) or wild-type Hsp20 (0. 13 mgÆmL)1) (3) The percentage of ADH in the pellet is plotted against the time of incubation (F) Co-precipitation of a-crystallin...
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Báo cáo Y học: Purification and biochemical characterization of some of the properties of recombinant human kynureninase pptx
... cation @pH 6.0 Strong anion @pH 6.0 536 242 96 29 16 8.0 1460 21 83 3505 31 08 2267 131 1 2.7 9.0 36 .4 108 139 164 1.00 3. 30 13. 3 39 .5 50.9 60.0 100 150 240 2 13 150 90 Ó FEBS 2002 Recombinant human ... Kynureninase activity of the enzyme was monitored spectrofluorimetrically at 37 °C, with excitation of the product 3- hydroxyanthranilate at 33 0 nm and emission at 410 nm and 31 0 nm and 417 nm respectively ... Biochem (Tokyo) 238 , 33 68 33 77 Mellilo, G., Musso, T., Sica, A., Taylor, L., Cox, G.W & Varesio, L (1995) A hypoxia-responsive element mediates a novel pathway of activation of the inducible...
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Báo cáo khoa học: "Some Properties of Preposition and Subordinate Conjunction Attachments*" docx
... 97 .3% 0.8% 22.8% 44.4% 92.6% 0.0% 2.4% 61.4% 37 .7% 85.6% 74 .3% 67.7% 85.1% 83. 0% 93. 6% 84.2% 90 .3~ 2.5% 3. 8% 3. 3% 3. 3% 2A% 30 .7% 2.4% 28 .3% 13. 4% 100% Table 1: Category properties in 7x9x Much of ... (bold face) for some category: Category vnpn vnpfi ~npn ~Ynpfi xfipx XXSX 0x6x V - A 34 5 35 441 32 554 236 lt -39 7 39 454 29 551 229 lt 237 4 34 458 36 557 224 The location of most of the best subscores ... analysis of our test data (called 7x9x) Our training sample is similar In 7x9x, 2.4% of the attachments t u r n out to be of a form that guarantees our system will fail to resolve them 83% of these...
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Báo cáo toán học: " Some properties of an integral operator defined by convolution" potx
... Parvatham, R: Properties of a class of functions with bounded boundary rotation Ann Polon Math 31 , 31 1 32 3 (1975) [3] Noor, KI: On radii of convexity and starlikeness of some classes of analytic ... Math Sci 6(2), 32 7 33 4 (19 83) [15] Ruscheweyh, S, Sheil-Small, T: Hademard product s of Schlicht functions and the Polya-Schoenberg conjecture Comment Math Helv 48, 119– 135 (19 73) 12 ... new family of integral operator using famous convolution technique We also apply this newly defined operator for investigating some interesting mapping properties of certain subclasses of analytic...
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báo cáo hóa học: " Some inequalities for unitarily invariant norms of matrices" doc
... A1/2 B3/2 A1/2 B3/2 ≤ 2 (A + B)2 Proof Let X = A1/2 B1/2 Then, by Theorem 2.4, we have 2 AB + A3/2 B1/2 − ≤ A3/2 B1/2 + A1/2 B3/2 (2:6) It follows form (2.5) and (2.6) that 2 AB + A3/2 B1/2 ... doi:10.1 137 / S089547989 832 38 23 Bhatia, R: Matrix Analysis Springer-Verlag, New York (1997) Bhatia, R, Kittaneh, F: Notes on matrix arithmetic–geometric mean inequalities Linear Algebra Appl 30 8, 2 03 211 ... Chinese) Bhatia, R, Davis, C: More matrix forms of the arithmetic-geometric mean inequality SIAM J Matrix Anal Appl 14, 132 – 136 (19 93) doi:10.1 137 /0614012 Zhan, X: Inequalities for unitarily invariant...
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Báo cáo hóa học: " Research Article Some Properties of Certain Class of Integral Operators" pot
... 3 |z| > 2 3 − 2 .32 In view of 2.24 , 2 .30 , and 2 .32 , we deduce that R z − μ Qλ f z α,β λ 1−μ R ψ z λ 1−μ 1− μQλ f z α,β 1 uλ/ 1−μ −1 R ψ1 ∗ ψ2 uz du 0 A1 − B1 A2 − B2 − B1 − B2 2 .33 − 3 ... 2. 13 it follows from 2.12 that zQλ f z −→ α,β λ 1−μ 1 − Au du − Bu uλ/ 1−μ −1 This evidently completes the proof of Theorem 2.1 In view of 1.19 , by similarly applying the method of proof of ... t dt 2 .30 By noting that ψ1 ∈ P γ1 and ψ2 ∈ P γ2 , it follows from Lemma 1.2 that ψ1 ∗ ψ2 z ∈ P 3 3 − − γ1 − γ2 2 .31 Journal of Inequalities and Applications Furthermore, by Lemma 1 .3, we know...
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Báo cáo hóa học: " Research Article Some Properties of Pythagorean Modulus" potx
... Mathematical Journal, vol 10, no 3, pp 241–252, 19 63 [10] C He and Y Cui, Some properties concerning Milman’s moduli,” Journal of Mathematical Analysis and Applications, vol 32 9, no 2, pp 1260–1272, ... (X) = sup E (Y ) : Y subspace of X, dim Y = (3. 3) The case for the modulus f ( ) is similar Theorem 3. 1 X is uniformly convex if and only if f ( ) > for any < ≤ Proof Since f ( )/2 − ≤ d( ), it ... + x − y ≥ ϕ(1 − ) (3. 7) which in view of the definition of ρ( ) implies that ρ( ) ≥ ϕ(1 − ) − 2c − − c2 = 2(1 + c )2 − (1 − )2 + + (3. 8) Letting →0, we get lim ρ( )/ ≥ c > (3. 9) →0 which contradicts...
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Báo cáo hóa học: " Research Article On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications" pptx
... and 3. 6 and 3. 7 thus we establish Theorem 3. 2 We note that many special cases can be derived from Theorem 3. 2 For example, in order to see that inequality 3. 6 is an extension of inequality 3. 2 ... in −1, Now by using 3. 4 , 3. 5 and inequality 2.26 we can establish Theorem 3. 1 8 Journal of Inequalities and Applications Further, Theorem 3. 1 can be extended to the case of Hadamard convolution ... A t •C t is of order m × n The following two theorems are easily proved by using the definition of the convolution product and Kronecker product of matrices, respectively Journal of Inequalities...
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Báo cáo hóa học: "GEOMETRIC AND APPROXIMATION PROPERTIES OF SOME SINGULAR INTEGRALS IN THE UNIT DISK" doc
... Rξ (ᏼ) ⊂ ᏼ; · Qξ S3,b1 (ξ) ⊂ S3 , b1 (ξ) ∗ ∗ · Qξ S3,b1 (ξ) ⊂ S3 , ∗ b1 (ξ) · Rξ S3,c1 (ξ) ⊂ S3 , c1 (ξ) Qξ SM ⊂ SM/|b1 (ξ)| , b1 (ξ) ∗ Q∗ SM ⊂ SM/|b1 (ξ)| , ∗ b1 (ξ) ξ (3. 23) Rξ (SM ) ⊂ SM/|c1 ... b1 (ξ) (3. 31) ∗ ∗ The proofs in the cases of (1/b1 (ξ)) · Qξ ( f ) and (1/c1 (ξ)) · Rξ ( f ) are similar, which proves the theorem Remarks 3. 3 (1) Theorem 3. 2(iii) says that if f ∈ S3,b1 (ξ) ... + ξ )Pξ (SM ) ⊂ SM(1+ξ ) , and (1 + ξ )Pξ (S3,ξ ) ⊂ S3 , where S3,ξ = f ∈ S3 ; f (z) ≤ , ∀ z ∈ D ⊂ S3 + ξ2 (2.18) Proof Let f ∈ S1 By Theorem 2 .3, we obtain ∞ + ξ Pξ ( f )(z) = ak k =1 if f...
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Báo cáo toán học: "Some properties of unitary Cayley graphs" pdf
... ϕ(m) Proof By the multiplicative properties of the Euler function ϕ(t) divides ϕ(n), if t is a divisor of n [ 13] Therefore, (9) implies that the nonzero eigenvalues of Xn are divisors of ϕ(n) ... #R45 The multiplicity of zero as an eigenvalue of Xn is n − m If α(λ) is the multiplicity of the eigenvalue λ of Xn , then λα(λ) is a multiple of ϕ(n) ˜ Proof The number of terms in the resulting ... The eigenvalues of a graph G are the eigenvalues of an arbitrary adjacency matrix of G In Section we show that all nonzero eigenvalues of Xn are divisors of ϕ(n) The definition of Xn is extended...
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Materials Science and Engineering - Electronic and Mechanical Properties of Materials Part 3 pot
... velocity of the highest occupied electron state at T=0 3. 225 © E Fitzgerald-1999 Representation of E,k for 2-D Material E= h (k x2 + k y ) E(kx,ky) 2m ky kx 3. 225 © E Fitzgerald-1999 Representation of ... Representation of E,k for 3- D Material kz Ε(kx,ky,kz) ky kF E= m π2 2mE h3 Fermi Surface or Fermi Sphere k F = (3 n )3 vF = 2m kx 2π/L g (E) = 2 h (k x + k y + k z2 ) hk F m EF = h 2kF 2m 3. 225 TF = EF ... wavelengths of valence electrons will diffract! 3. 225 © E Fitzgerald-1999 Diffraction Picture of the Origin of Band Gaps • Start with 1-D crystal again λ~a 1-D a nλ = 2d sin θ nλ = 2a 2π k= λ πn k= a 3. 225...
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Mechanical Properties of Engineered Materials 2008 Part 3 ppt
... and 2.8(f) These may be thought of as the absence of a plane of atoms (intrinsic stacking faults) or the insertion of rows of atoms that disturb the arrangement of atoms (extrinsic stacking faults) ... section of the iron–carbon phase diagram Copyright © 20 03 Marcel Dekker, Inc bon atoms in solution in b.c.c iron The maximum solubility of C (in -Fe) of only 0. 035 wt % occurs at 7 238 C Pure ... solution of carbon in face-centered cubic (f.c.c) iron The maximum solid solubility of C in -Fe of 1.7 wt % occurs at 1 130 8C Body-centered cubic ferrite is stable between 139 18 and 1 536 8C It...
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Mechanical properties of polymers and composites-Nielsen Episode 3 potx
... spin resonance behavior (30 ,31 ") electrical properties (32 -35 ), and tensile strength and ultimate elongation in elastomers (36 ,37 ) In view of the great practical importance of the glass transition ... understanding of the molecular origin of polymer mechanical behavior (3, 4,6 ,35 ,42-45) and plays a central role in establishing the framework, mentioned above, which relates the properties of different ... constant of Equation ( ) becomes equation (38 ) if K = and it is often close to equation (39 ) it" K = An equation that usually f i t s experimental d a t a belter t h a n equations (38 ) or {39 ) is...
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