... student was studying the civil rights record ofthe Johnson Administration, another the effects of lengthening the schoolday for elementary students, another the question of whether a computer could ... to the slacking student and the rest of us, “What can any person in the face of all the world’s challenges? He or she can try.” xi The 100 Simple Secrets of Successful People As I conducted the ... dozens of pictures of women and asked to choose the six that other people would think are the most beautiful The person whose answers most closely resembled the collective opinion ofthe other...
... Reproduced with permission ofthe copyright owner Further reproduction prohibited without permission Reproduced with permission ofthe copyright owner Further reproduction prohibited without ... permission Reproduced with permission ofthe copyright owner Further reproduction prohibited without permission Reproduced with permission ofthe copyright owner Further reproduction prohibited without ... permission Reproduced with permission ofthe copyright owner Further reproduction prohibited without permission Reproduced with permission ofthe copyright owner Further reproduction prohibited without...
... wavelength of 1.540600 Å The X-ray data was collected using an MBraun curved PSD with a chamber depth of cm The focal radius ofthe system was 57 mm, and the cm length ofthe PSD subtended ∼25° 2θ ofthe ... however, the assignment of component polymorphs to sample mixtures depended on the XRPD results Conclusions Interconversions ofthe Polymorphs of Disodium Salt The interconversions of polymorphs ofthe ... anhydrous thermal event Form I to Form II melt of Form II Form I to Form II melt of Form II loss of water melt of Form I Form I to Form II melt of Form II loss of water melt of Form III melt of Form...
... uniformly bounded then the null solution of Eq.(12) is uniformly stable b If the C0 - semigoup operator (T (t))t≥0 satisfies the hypothesis of theorem (2.3) then the solution of Eq.(12) in the case µ ... such that the solution of Eq.(4) in the case µ = will be asymptotic equivalence to the solution of Eq.(4) in the case µ = 0(in the following we will give µ = 1) .The obtained result of this part ... we can show that the null solution x(t) ≡ of Eq.(4) is uniformly stable ii) By assumption (ii) ofthe theorem there exist the positive constants C and λ δ= Ce−λt , T (t) ∀t > By the similar argument...
... varied and the range of variation relative to the normal value ofthe reference state The last four columns show the percentage ofthe total variation range ofthe load parameter where the simplied ... quality for none ofthe reactions except the ATPase reaction On the other hand, the quality achieved with the LL rate law uctuated less from one reaction to the other than with the other simplied ... (GSH), the two cardinal metabolites that mainly determine the integrity ofthe cell The goodness of these simplied models was evaluated by using the solutions ofthe full mechanistic model as the...
... respect to the anatomical conditions, and the tibiae were mounted eccentrically in the sagittal plane to mimic the soft tissues ofthe calf At the site ofthe osteotomy, the distance between the bone ... at the distal end ofthe frame, which was fixed to the base plate ofthe test machine In this manner, the distal articular joint line ofthe composite bone did not contact the base plate ofthe ... measure the interfragmentary motion at the site ofthe defect, the relative motion ofthe bone fragments to the rings and the relative motion between the rings There were three transducers at the...
... opposite behavior has been explained through the creation of dopant levels near the valence band of TiO2 on Fe+3 ion incorporation Therefore, the relative shift ofthe absorption edge ofthe semiconductor ... depends strongly on the difference between the ionic radius ofthe dopant and the host cations, as well as on the chemical nature ofthe dopants To evaluate the bandgap energy ofthe nanoparticles ... with the increase ofthe dopant concentration, suggesting that the incorporation of Eu ions suppresses the growth of TiO2 nanocrystals to a great extent In order to verify the presence of Eu in the...
... proof of Lemma 1.3 is given in Section Based on the method of proof and the validity of Theorem 1.1 for systems after suitable modifications ofthe definition of Tp,k in 1.3 and ofthe hypotheses ... derive the case κ from the case κ ≥ by regularization ofthe coefficients and stability ofthe Fredholm index The major obstacle in doing so is the mere CM regularity of ∂Ω, since Theorem 1.1 with κ ... ellipticity hypotheses such as strong ellipticity and/or less general boundary conditions Agmon , Browder , Denk et al 8, Theorem 8.2, page 102 The idea ofthe proof of Theorem 1.2 is to derive the case...
... Senior Lecturer in the School of Mathematics, University of Manchester, UK His research interests include climate modeling, extreme value theory, distribution theory, information theory, sampling ... Department of Engineering Management and Systems Engineering, the George Washington University, Washington, DC, USA He is the Senior Co-editor-in-Chief ofthe thirteen-volume Encyclopedia of Statistical ... Coauthor of over 300 papers on statistical methodology and theory, 25 books in the field of statistics and quality control, three Russian-English scientific dictionaries, and Coauthor ofthe often-cited...
... knowledge ofthe instantaneous channel parameters, while the transmitter is not aware ofthe information about the channel parameters In the following, we will describe the statistical property ofthe ... for the channel capacity ofthe Nakagami fading channels The conservativeness ofthe lower bound comes from the diagonal assumption on Q If, on the other hand, Q is nondiagonal, some kind of knowledge, ... in the space ofthe fading matrix A The set is the largest possible set for which CΘ , the capacity ofthe compound channel with parameter A ∈ ΘR , satisfies CΘ ≥ R The outage probability is then...
... for another: the history of Work the System is a perfect illustration ofthesystems mindset that is the centerpiece ofthe book itself I self-published Work the System in the spring of 2008 This ... your world, examining the comings and goings ofthe day as if they are tangible, physical objects You see the separateness ofthesystemsof your life; the components are simple and understandable ... The imbedded vision ofthe world as an orderly collection of processes, not as a chaotic mass of sights, sounds, and events The crystal clear understanding ofthe mechanical way thesystems of...
... i r mi , r m= ˆ r i=1 mi The proofs ofthe following theorems can be obtained similarly as the proofs of Theorem 6.20.1, Theorem 6.20.2 in [1], so we omit them here Theorem Assume that xF (x) ... Suppose further that lim sup x,y→∞ H(x, y) < − λ∗ , x (2.2) Then every solution {xn }∞ n=−m of (2.1) is bounded Proof The proof follows from applying the mean value theorem and the proof of Theorem ... and i=1 αi = then Theorem remains true The following theorem gives a sufficient condition for the boundedness of every solution of (2.1) Theorem Assume that the sequence {λn }n is as in Theorem and...
... bounded, then the height distribution Derivation of Results We establish the five parts of Theorem Since the analysis involves a routine use ofthe saddle point method (cf [1, 12]), we only give the ... for large b (cf Theorem 2) The proof is delayed until Section It is based on an asymptotic evaluation of a certain integral Summary of Results We let Hn be the height of a b-trie of size n We denote ... better understood by viewing the problem as first fixing k and b, and then varying n (cf Section 4) Theorem For b → ∞ the distribution ofthe height of b-tries has the following asymptotic expansions:...
... product over the vertices of G ofthe weights ofthe spins times the product over the edges of G ofthe weights ofthe spin-pairs In this language Z W (G) is the partition function ofthethe electronic ... think ofthe weights λ·,uv as a measure ofthe likelihood of seeing the different spin-pairs across the edge uv The probability of a particular spin configuration is thus proportional to the product ... think of {1, , m} as the set of possible spins that a particle may take For each v ∈ V we think ofthe weights λ·,v as a measure ofthe likelihood of seeing the different spins at v; furthermore,...
... then yields the result 3.2 (λ([0, x])(1 − λ([0, x])))p/2 The proof of Theorem Proof The proof is completely analogous to the proof of Theorem 1, due to the fact that the entire structure ofthe ... |g(a) − g(b)| dadb The result then follows from Theorem and ess sup0 3.5 x ∗ |g(x)| = DN (P) The proof of Theorem P Proof We go back to our definition of DN as the expected value ofthe random variable ... suitable decompositions ofthe unit cube (i.e bounds on the volume ofthe set A from the proof) The second way seems to lead to a very technical path while the first way seems to be the more manageable...
... carcinomawere compared with the group of 10,061 cases, mostly ofthe invasive ductal type (91% of cases), observed during the same period The focus ofthe study was the comparison of ductal carcinomas ... that a total of 23 patients had MRI ofthe breast On further review of these pathology cases, there were 12 patients with mixed ductal/lobular carcinoma who had MRI ofthe breast We then compared ... presence in the ductal and lobular component ofthe tumor Although the E-cadherin staining is weaker in the lobular regions ofthe tumor, it is nonetheless present Overall, 90% (6/7) ofthe cases...
... observed On the other hand, direct injection of arginine into branches of Douglas fir from the end of April to the end of June did not stimulate flowering (McMullan, 1980) It seems therefore that ... either by stem girdling or by root flooding at the end of shoot elongation The level of ACC and its malonyl form (MACC) increased rapidly in the shoots just after stem girdling and at the end of ... biochemical marker that is specific to the transition stage and, if possible, at the level ofthe shoot instead ofthe meristem Certainly, protein analysis using the molecular biology tools could...
... of this mixture was added over the first layer and 1.5 ml of DMEM was placed into the basal compartment ofthe chamber that was thereafter maintained for 24 hours at 37°C To test the effect of ... studying the effect of EGCG on the migration of invasive cell lines The effect of EGCG on cell migration was higher when cells were cultured in 2D systems (65% decrease in presence of 7.5 μg/ml of ... concentration (μg/ml) Figure zymography ofthe gelatinolytic activities of MMPs zymography ofthe gelatinolytic activities of MMPs Analysis ofthe gelatinolytic activities of MMP9 (92 kDa), pro-MMP2 form...
... is the total suction pressure, Lp is the deformed projection length ofthe cell inside the pipette (cf Fig 2.4(a)), L p is the rate of change for Lp, Rc is the radius ofthe cell body outside the ... 2000; Tseng et al 2002) These techniques generally probe different aspects ofthe mechanical behaviors ofthe cells Because ofthe heterogeneity and viscoelasticity of cells, the measured mechanical ... fluid shear in the blood vessels can regulate the gene expression of endothelial cells (Chien 2003) The dynamic compression of cartilage are known to modulate the proteoglycan synthesis of chondrocytes...
... capable of contracting the disease and becoming infective, • (I), the infective class, i.e., the class of those individuals who are capable of transmitting the disease to others, • (R), the removed ... that the support of π ∗ and the empirical density of π ∗ Figure 3: Trajectories of S(t), I(t) in Example 3.2 Figure 4: Phase portrait of (2.1) and the support of π ∗ in Example 3.2 and the empirical ... total variation ofthe transition probability to the invariant measure (see [6, 15]) As a result we have the following theorem for the model (1.2) Theorem 3.2 Let (S(t), I(t)) be the solution to...