... i is odd}, Remarks on local dimension of fractal measure associatedwith ej = ki ; oj = i∈Ej 49 ki i∈Oj Then nj = oj + ej Similar proof as the proof of Claim 3.2 in [11], we get j nj−1 oj ... Local dimensions of fractal probability measures associatedwith equal probability weight, Preprint T Hu, N Nguyen and T Wang, Local dimensions of the probability measure associatedwith the (0, ... dimension of fractal measure associatedwith Case If (y4 , y5 , y6 ) is not a generator, then # t6n+6 = # t6n+5 F6n+6 45 F6n+5 Case If (y4 , y5 , y6 ) is a generator Without loss of generality,...
... with NaCl/Pi, 1% Triton X-100 and eluted with 10 mM Tris/HCl pH 8.8 containing 0.5% SDS Samples were analyzed by Western blotting treated with specific primary antibody Bands were visualized with ... were performed with N6-coupled ATP-, ADP- and AMPagarose (Sigma) using Triton X-100 solubilized cell membranes For photolabelling of TAP with radiolabelled 8-azido-ATP, membranes of cells were ... of 100 lL were incubated with lM 8-azido-ATP[a-32P] or 8-azido-ATP[c-32P] (ICN Biomedicals) for at °C Cross-linking was induced by irradiation with a UV lamp at 254 nm for at °C Preparation of...
... nj = oj + ej 3.2 Claim With the above notation we have lim j→∞ j nj−1 oj = ; lim = and lim = r j→∞ nj j→∞ nj nj Proof The proof of the claim is similar to the proof of Claim 3.2 in [10] We define ... Local dimensions of fractal probability measures associatedwith equal probability weight, Preprint T Hu, N Nguyen and T Wang, Local dimensions of the probability measure associatedwith the (0, ... D∞ and s = i=1 3−i xi ∈ supp µ, we have √ log(1 + 3) α(s) = − log Proof The proof of the claim is similar to the proof of Claim 2.6 in [10] We say that x = (x1 , x2 , , xn ) ∈ Dn is a maximal...
... 57 actually diagnosed The risk of disease associatedwith the cited different types of tuberculosis infection is given in Table The risk of disease associatedwith reinfection is 31 times that ... the information on the size of previously infected population, with or without recent reinfection, it is possible to construct the profile of the population in respect of tuberculous infection ... and twice that for recent infection Table Risk of disease associatedwith different types of infection Risk of disease (%) (Annual) 3.19* Type of infection Recent infection Exogenous reinfection...
... tyrosinase-mediated oxidations of DOPA, with and without catalase Peak profiles represent levels of DOPA in lL samples of separate reaction mixtures after incubation Initial level of DOPA (2.5 nm) prior ... known source of metal Presumably, normal enzyme activity either prevents catalytic engagement of the active site copper with H2O2, or the enzyme capitalizes on this reactivity to metabolize substrates ... and benzothiazinylalanine precursors of pheomelanin [5–10] Of considerable interest are recent studies that have kinetically characterized both catalase (EC 1.11.1.6) (i.e conversion of H2O2...
... Local dimensions of fractal probability measures associatedwith equal probability weight, Preprint T Hu, N Nguyen and T Wang, Local dimensions of the probability measure associatedwith the (0, ... dimension of fractal measure associatedwith ej = ki ; oj = i∈Ej 43 ki i∈Oj Then nj = oj + ej 3.2 Claim With the above notation we have j nj−1 oj = ; lim = and lim = r j→∞ nj j→∞ nj j→∞ nj lim Proof ... proof of the Main Theorem will be given in Section The next section we establish some auxiliary results used in the proof of the Main Theorem Auxiliary Results Let X1 , X2 , be a sequence of...
... characterization of the environment of G51 and G89, analysing a series of mutants at these positions [21] The results provided insights into the structural and functional consequences associatedwith ... in the Meta I to Meta II pathway could be one of the molecular triggers of RP associatedwith some rhodopsin mutations Results Characterization of G51V and G89D mutants G51V (1.46) and G89D (2.56) ... volume of 650 lL; spectra were normalized to the fluorescence intensity of the sample before illumination For determining the rates of Gt activation, the initial slopes of the first 30–60 s of data...
... setting of anterior cervical fusion surgery, pain associatedwith autograft harvest often overshadows pain from the primary surgical site [11] A perceived high rate of donor site pain has been one of ... most analyses were done with the full sample of 170 patients, one psychometric analysis utilized the smaller sample of 139 with longitudinal data to assess the stability of the measure Selection ... prospective study of ICBG morbidity to date with sufficient sample size to allow multivariate analyses of the independent impact of ICBG morbidity on physical and mental health The limitations of the study...
... pan-European study of 9487 women who had sought treatment for UI found that severity of symptoms was the most important predictor of QoL and bother [8] Assessment of severity of symptoms, degree of distress ... the frequency of stress related urine loss [29] Measures of severity often include information obtained from a voiding diary or from patients' recall of the number of episodes of incontinence ... Buesching DP: Quality of life of women with urinary incontinence: further development of the incontinence quality of life instrument (I-QOL) Urology 1999, 53(1):71-6 Page of (page number not for...
... breast cancers, with scores of 0,+1, +2, +3 for increasing intensity and “continuity” of staining of the cell membrane[17] For quantification of Her3 staining, we scored two compartments of the cell ... samples A total of four hundred twenty four formalin fixed and paraffin embedded tumor specimens with HNSCC were obtained from the archives of the Pathology Department of the University of Virginia ... package (SPSS, Chicago, IL) Page of 10 Results Clinicopathological features of patients Clinicopathological characteristics of cases are summarized in Table The ages of the patients ranged from 20...
... regions of isolates PO1, PL3, and CV2 NI, non-infected plant; M, λ-DNA digested with PstI (B) Alignment of isolates PO1, PL3, and CV2 with a CLRDV isolate from each of the Brazilian regions analyzed ... 5:123 Losses of up to 1,500 kg·ha-1 of cotton seed have been reported in some states [2] The viral origin of CBD was only recently identified [3] In Brazil, the disease is associatedwith a virus ... analyzed The horizontal axis represents the nucleotide distance of the midpoint of the window from the 5' end of the query sequence (1074 nt in CLRDV) The vertical axis represents the percentage of...
... breast cancers, with scores of 0,+1, +2, +3 for increasing intensity and “continuity” of staining of the cell membrane[17] For quantification of Her3 staining, we scored two compartments of the cell ... samples A total of four hundred twenty four formalin fixed and paraffin embedded tumor specimens with HNSCC were obtained from the archives of the Pathology Department of the University of Virginia ... package (SPSS, Chicago, IL) Page of 10 Results Clinicopathological features of patients Clinicopathological characteristics of cases are summarized in Table The ages of the patients ranged from 20...
... analytic function in U with |w z | < 1 1−η − z f z ∗q z f z ∗q z z∈U , 2.23 z ∈ U and w 0 Thus we have −η 1−η f z ∗ −zq z f z ∗q z 1−η f z ∗ −η 1−η φ ω z f z ∗q z 2.24 η q z −η z D By using the similar ... z 1 zz Lλ1 a, c f z Lλ1 a, c f z 2.9 φ − By using 1.9 , 2.1 − z φλ1 a, c; z ∗ f z φλ1 a, c; z ∗ f z − − z U , 2.8 z φλ2 a, c; z ∗ fλ1 ,λ2 z ∗ f z φλ2 a, c; z ∗ fλ1 ,λ2 z ∗ f z 2.10 fλ1 ,λ2 z ... , c f z ⎝ 1−β fλ1 ,λ2 z ∗ q2 z − ⎟ − β⎠ β q2 z 2.29 1−β fλ1 ,λ2 z ∗ 1−β β z2 q2 z z2 fλ1 ,λ2 z ∗ − β ψ w z −β z2 fλ1 ,λ2 z ∗ z2 q2 z ≺ψ z 1−β ψ w z fλ1 ,λ2 z ∗ q2 z ⎞ −β z U Therefore we prove...
... seizures and it is 50% for seizures Our method can detect 15 out of 16 seizures, and the only one missed is from a patient having seizures For out of the patients, our method has sensitivity of ... the energy of specific frequency band of 4–12 Hz in our method The dynamic model based on energy under frequency 4–12 Hz is used to describe seizure features A particle filter associatedwith a neural ... seizure occurrence from the EEG The probability to raise an alarm in a period of duration can be calculated as [10] This is the probability of predicting at least k out of K seizures by means of...
... and zQλ f ∈ Q, then the α,β α,β subordination chain zQλ g1 z ≺ zQλ f z ≺ zQλ g2 z α,β α,β α,β 4.20 zQλ g1 z ≺ zQλ f z ≺ zQλ g2 z α,β α,β α,β 4.21 implies that Furthermore, the functions zQλ ... ⎝− 1−δ ⎞ z Qλ f α,β Qλ g α,β zz ⎟ − δ⎠ Qz zQ z − 1−η H z −η ν ≺ψ z 3.14 12 Journal of Inequalities and Applications The remainder of the proof of Theorem 3.3 is much akin to that of Theorem ... If R zz ϕ z >− z ∈ U; ϕ z : zQλ g z , α,β 4.1 where β : α − 1− β β α , α 4.2 then the subordination relationship zQλ f z ≺ zQλ g z α,β α,β 4.3 implies that zQλ α Furthermore, the function zQλ...
... that zf z f z −R < − α, 3.2 > α 3.3 and therefore, z z2 f z z2 f z R Hence z2 f ∈ S∗ α A computation shows that − z g∗f z g∗f z g ∗ −zf z g∗f z g ∗ fF z g∗f z z2 g ∗ z2 fF z z2 g ∗ z2 f z 3.4 ... and thus z z2 g ∗ f z z2 g ∗ f z R Let P z − z g∗f z g∗f z 3.10 A similar computation as in the proof of Theorem 3.1 yields − z φ∗g∗f z φ∗g∗f z z2 φ z ∗ z2 g ∗ f z P z z2 φ z ∗ z2 g ∗ f z 3.11 ... φ∗g∗f z φ∗g∗ψ z z2 φ z ∗ z2 g ∗ ψ z G z z2 φ z ∗ z2 g ∗ ψ z 3.14 Since z2 φ ∈ Rα and z2 g ∗ ψ ∈ S∗ α , it follows from Theorem 1.1 that − z φ∗g∗f z ≺h z φ∗g∗ψ z 3.15 Thus φ ∗ f ∈ Mc h with respect...
... η; 1 +z = ∗ (η), 1 z η; 1 +z = (η), 1 z 1 +z 1 +z Ꮿ η,β; , = Ꮿ(η,β) 1 z 1 z (1.3) Also let the Hadamard product (or convolution) f ∗ g of two analytic functions ∞ ∞ ak z k , f (z) = bk zk g (z) ... η)q (z) + c + η + (1 − β)zp (z) , Hλ,q,s α1 Fc (g) (z) (3.10) where q (z) = z Hλ,q,s α1 Fc (g) (z) 1−η Hλ,q,s α1 Fc (g) (z) −η (3.11) Hence, we have z Hλ,q,s α1 f (z) 1−β Hλ,q,s α1 g (z) − β = p (z) + zp ... convex univalent in U with φ(0) = and Re{κφ (z) + ν} > (κ,ν ∈ C) If p is analytic in U with p(0) = 1, then p (z) + zp (z) ≺ φ (z) (z ∈ U) κp (z) + ν (2.1) implies p (z) ≺ φ (z) (z ∈ U) (2.2) Lemma 2.2...
... belongs to the following subspace of l∞ (X) AP Z( X) := span {λ· z, λ ∈ Γ, z ∈ X}, (2) where (λ· z) (n) := λn z, ∀n ∈ Z We list below some properties of the spectrum of g = {g(n)} Proposition 1.4 Let ... t)u(t)dt The notion of Beurling spectrum of a function u ∈ BU C(R, X) coincides with the one of Carleman spectrum, which consists of all ξ ∈ R such that the Carleman– Fourier transform of u, defined ... on the asymptotic behavior of solutions of ill-posed equations associatedwith C-semigroups The existence of almost periodic solutions to ill-posed evolution equations of the form (1) has not been...
... (HCC) with chronic liver disease without cirrhosis or with CLD without cirrhosis treated with radiofrequency ablation (RFA) Characteristics Number of patients Sex, females Age Etiology HCC\ CLD without ... 96 % of nodules, with a mean of 1.2 - 1.4 treatments (22,23,) and up to 100 % with a mean of 2.2 treatments on nodular basis (24) The 5-years survival estimated from a cohort of patients with ... performed within month after the end of the treatment, and a long term response evaluation, with alfafetoprotein measurement and hepatic ultrasound performed with or without injection of contrast...
... be associatedwith ReA, and the dissemination of commensal Campylobacter spp to inflamed joints along with other components of gut flora The latter is more likely in view of the isolation of ... indicates that even with a large amount of sequencing only a relatively small proportion of the total bacteria present within the joint are detected Detection of specific disease associated bacteria ... sequence (a species with rRNA very closely related to that of Campylobacter spp.) Neither of these gut and urogenital tract bacteria has previously been reported to be associatedwith ReA Further...