... Section 3, we prove the maximal sequences, it is used to find the lower local dimension The proof ofthe Main Theorem will be given in the last section The formula for calculating the local dimension ... - partial sum of t So we get α α= Therefore The claim is proved To complete the proof of our Main Theorem it remains to prove the following claim 4.3 Claim For any β ∈ ( , 1) there exists s ... each of them, the way to find α, α and E is quite different It is conjectured that the way to find them in the general case is dificult Let us recall that for s ∈ supp µ the local dimension α(s) of...
... auxiliary results used in the proof ofthe Main Theorem The proof ofthe Main Theorem will be given in the last section Some Auxiliary Results Let X1 , X2 , be a sequence of i.i.d random variables ... odd}, ki i∈Oj Then nj = oj + ej 3.2 Claim Withthe above notation we have lim j→∞ j nj−1 oj = ; lim = and lim = r j→∞ nj j→∞ nj nj Proof The proof ofthe claim is similar to the proof of Claim 3.2 ... t3n+1 G3n+1 for all n By repeating the above argument and using the two above results we have the last ofthe assertion The proposition is proved Proof ofThe Main Theorem We call an infinite sequence...
... i∈Ej 43 ki i∈Oj Then nj = oj + ej 3.2 Claim Withthe above notation we have j nj−1 oj = ; lim = and lim = r j→∞ nj j→∞ nj j→∞ nj lim Proof The proof ofthe first limit is trivial The second limit ... result is the following: Main Theorem For a = we have α = 1, α = − √ log(1+ 5)−log , 1] log √ log(1+ 5)−log 2 log and E = [1 − The proof ofthe Main Theorem will be given in Section The next section ... dimensions of fractal probability measures associatedwith equal probability weight, Preprint T Hu, N Nguyen and T Wang, Local dimensions ofthe probability measure associatedwiththe (0, 1,...
... prove Theorem 3.4 If f ∈ Ꮿλ,α1 (q,s;η,β;φ,ψ), then Fc ( f ) ∈ Ꮿλ,α1 (q,s;η,β;φ,ψ) (c ≥ 0) Proof Let f ∈ Ꮿλ,α1 (q,s;η,β;φ,ψ) Then, in view ofthe definition ofthe class Ꮿλ,α1 (q,s;η, β;φ,ψ), there ... For the second part, by using the arguments similar to those detailed above with (1.15), we obtain Ꮿλ,α1 (q,s;η,β;φ,ψ) ⊂ Ꮿλ,α1 +1 (q,s;η,β;φ,ψ) (2.25) Therefore, we complete the proof of Theorem ... detailed above with (1.15), it follows that s ≺ φ in U, which implies that f ∈ λ,α1 +1 (q,s; η;φ) Therefore, we complete the proof of Theorem 2.3 Theorem 2.4 Let α1 ,λ > and φ ∈ ᏺ Then, λ+1,α1...
... that the decreased levels of CD82 protein were strikingly associatedwiththe tumor status and the distant metastasis Furthermore, CD82 protein expression was inversely associatedwiththe pTNM ... in the early stage of malignant melanoma but weakens in the more advanced stages [25] There is still no report showing that it is associatedwith other type of cancer We demonstrated for the ... expression, and the immunostaining in most of these tumors was heterogeneous The immunohistochemical results were agreed with those of RT-PCR and 98.0% ofthe specimens coincided directly Further investigations...
... directly to the loss of disc collagen and GAGs The lack of effect on GAG synthesis further validates the importance ofthe degradative component ofthe remodeling cycle in relaxin's modulation of matrix ... tissue In this study we determined the effects of relaxin with or without β-estradiol on the modulation of MMPs, and assessed the contribution of these proteinases to the changes in collagen and glycosaminoglycan ... calculated from the ratio ofthe stained area to the total area in each section The average ofthe 10 values for each half disc was used for analysis Determination of GAG synthesis by 35S radiolabeling...
... support recent infection with any ofthe agents tested With E chaffeensis antigen, the patient's serum reacted with a small proportion ofthe organisms on the slide, as compared with positive control ... no erythema or edema was noted at the site ofthe tick bite; however, the patient had taken 500 mg aspirin prior to examination The patient was treated for a presumptive tick-borne illness with ... testing of humans [1] Diagnosis of ehrlichiosis during the acute infection increasingly relies on polymerase chain reaction (PCR) [1,6] According to the official case definition used by the Centers...
... requires the placement ofthe tube in the esophagus to the level ofthe xiphoid and confirming the position with a chest roentgenogram If the position is acceptable (midline), the tube is then advanced ... feeding These smaller tubes decreased the risk of ulceration ofthe nose, pharynx and stomach associatedwiththe larger-bored and more rigid type [11] However, it was not long after the narrow-bore ... identification of all cases To place the risks associatedwith feeding tube placement into perspective, the probability of pneumothorax with central line insertion is in the 1-2% range [4,5] Therefore,...
... included the use of official or official treated water on the farm compared to the use of non-official untreated water, storing manure on the farm at any time of year, and the presence of other domestic ... for the colonization of broiler flocks with Campylobacter Farm-level factors associatedwith an increased risk of colonization include: the presence of other animals on the farm [13,20-23]; the ... (i.e the practice of shipping all flocks on the farm within the span of a few days, with all houses remaining empty for a period of time) was not a significant predictor in any ofthe models The...
... redistribution ofthe enzyme between the microtubuleassociated and nonassociated states rather than to inhibit it Type of phosphatase(s) involved in regulation ofthe carboxypeptidase activityassociatedwith ... cells treated with OA and then with taxol Evaluation ofthe slope ofthe curves indicated that detyrosination can occur when carboxypeptidase is not associatedwith microtubules within the cell, ... measuring the integrated intensity ofthe corresponding immunostaining withthe aid ofthe METAMORPH IMAGING SYSTEM (Version 4.6r5) For a determined field, the value of integrated intensity of Glu-microtubules...
... had evidence of H pylori infection because ofthe earlier presentation or diagnosis of cancer In summary, the Gab1 A/A was associatedwiththe low risk of H pylori infection while the G/A and ... So, the Gab1 polymorphism was associatedwiththe low risk ofthe infection independent on severe atrophy Although the Gab1 polymorphism prevented H pylori infection, it was associatedwiththe ... that G/G ofthe PTPN11 gene encoding SHP-2 increased the risk of gastric atrophy among the seropositive subjects [18] The present study examined the association of a polymorphism of Gab1 with gastric...
... significantly increased the promoter activityof phHOLUC45, which contains the MARE, but showed no effect on the promoter activityof phHOLUC40, lacking the MARE, the HO-2 gene promoter of phHO2()1494) ... analysis of HO-1 and HO-2 proteins The intensity representing HO-1 or HO-2 protein was normalized with respect to the intensity ofthe b-actin signal The ratio of each normalized value to the control ... normalized with respect to the intensity ofthe 18S rRNA signal The ratio of each normalized value to the control value in untreated cells at h is shown as the relative expression level of HO-1...
... although the OPS ofthe LPS was partially cleaved, the mAb 2625 epitope in the remaining LPS species was not affected After de-O-acetylation ofthe LPS, the HF treatment completely cleaved the OPS of ... acid was the smallest one that displayed these signals and, moreover, the relative intensity of these signals was the highest compared to other pools from the same strain Therefore, further structural ... excluded The expression ofthe N-methyl -associated epitope is suppressed in the phase variant 811 The presence of 10- to 20-fold lower amounts of and in strain 811 could be due to the presence of a...
... in the context ofthe folding and packing ofthe TM domain together with other adRP mutations in the other TM helices [20] These studies showed that G51V was able to regenerate with 11-cis-retinal ... the lack ofthe opsinobligatory interaction K296 (7.43) in the latter In the context ofthe crystal structures (Fig 5), the G51V mutation changes the environment of D83, thereby modifying the interactions ... determine to which degree the effects of G51V are associatedwiththe D(E)RY or NPxxY micro-switches [26] Specifically, the additional introduction of E134Q in the background ofthe G51V mutant structure...
... that over-expression ofthe three proteins was significantly associatedwiththe genesis and progression of CRC The functional implications ofthe alterations in the levels of these proteins are ... role in the development and progression of CRC Further functional and clinical analysis ofthe proteins is necessary to elucidate their precise role in the process of CRC and the formation of metastases ... 1) The MSDB identification number, the theoretical molecular mass, the theoretical pI, the sequence coverage and the MASCOT score are shown in Table Among them, the three proteins, identified as...
... from the greater curvature ofthe antrum and the midpoint ofthe greater curvature ofthe gastric body via endoscopic biopsy In the patients with cancer two specimens were obtained from the cancerous ... levels and evaluated the correlation of these values withthe progression of gastric carcinogenesis We then estimated the validity of HMGB1 as a potential biomarker for the screening, diagnosis, ... (cut-off value of 5.5 ng/ml), and 71% and 67% (cut-off value of ng/ml) The sensitivity and specificity of serum CEA levels for the diagnosis of high-risk lesions was 39% and 76% (cut-off value of...
... detected the -794 microsatellite and reported about the influence ofthe number of CATT repeats on the promoter activity [15] In a large study Radstake and co workers reported the association ofthe ... surgery but without signs of infection or inflammation Secondly, an evaluation ofthe association ofthe MIF polymorphisms withthe survival of severe sepsis patients was performed Methods The investigation ... preconditions the power ofthe presented results for the -173 G/C SNP and the -794 (CATT)n microsatellite was 98% and 87%, respectively The linkage disequilibrium ofthe two loci was assessed with the...
... diagnosis of depressive disorder can be assessed withthe BDI Other variables used in the analysis of data were as follows As part ofthe assessment, the participants filled in items concerning their ... whether the HRQoL is associatedwiththe seasonal changes in mood and behavior Because the shortage of exposure to daylight or artificial bright light has been linked to the occurrence of these ... for analysis ofthe stratified data using survey-weighted generalized linear models We wanted to know whether there was any association ofthe health-related quality of life withthe seasonal...
... median values withthe 25th to 75th percentiles in parentheses unless stated otherwise Results The concentrations ofthe proteins ofthe lectin pathway and CRP in the sera of patients with ischemic ... with ischemic stroke immediately after admission (i.e within hours after the onset ofthe symptoms) The levels of these proteins did not further change during the initial 3-4 days of stroke The ... concentration in the follow up samples as well as the outcome ofthe disease Finally, we assessed the relationship between the baseline NIH scale as an indirect measure ofthe severity ofthe stroke, the...
... [14,15] These substances exaggerate the vasospastic activityof other drugs, enhance endothelial dysfunction, increase platelet aggregation, increase sympathetic activity, and decrease the myocardial ... myocytes, an effect that is associatedwiththe inhibition of potassium currents [8,9] Coronary vasospasm and acute myocardial infarction (AMI) associatedwiththe use of topical capsaicin patches ... pepper pills support the role of capsaicin in the development of coronary vasospasm through increased sympathetic stimulation Conclusions This is the first report linking the use of cayenne pepper...