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Search Results: 1 - 10 of 193659 matches for " Tomasz Odrzygó?d? "
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The square model for random groups
Tomasz Odrzygó?d
Mathematics , 2014,
Abstract: We introduce a new random group model called the square model: we quotient a free group on $n$ generators by a random set of relations, each of which is a reduced word of length four. We prove, as in the Gromov density model, that for densities $> \frac{1}{2}$ a random group in the square model is trivial with overwhelming probability and for densities $<\frac{1}{2}$ a random group is with overwhelming probability hyperbolic. Moreover we show that for densities $\frac{1}{4} < d < \frac{1}{3}$ a random group in the square model does not have Property (T). Inspired by the results for the triangular model we prove that for densities $<\frac{1}{4}$ in the square model, a random group is free with overwhelming probability. We also introduce abstract diagrams with fixed edges and prove a generalization of the isoperimetric inequality.
Half-page derivation of the Thomas precession
Andrzej Dragan,Tomasz Odrzygó?d
Physics , 2012,
Abstract: Instantaneous derivation of the Thomas precession with only basic vector calculus.
Electronic repository and standardization of processes and electronic documents in transport
Tomasz D?BICKI
Transport Problems : an International Scientific Journal , 2007,
Abstract: The article refers to the idea of the use of electronic repository to store standardised scheme of processes between a Logistics Service Provider and its business partners. Application of repository for automatic or semi-automatic configuration of interoperability in electronic data interchange between information systems of differentcompanies based on transport (road, rail, sea and combined) related processes. Standardisation includes processes, scheme of cooperation and related to them, electronic messages.
Endoteliny w regulacji funkcji uk adu kr enia
Tomasz Kun,Ryszard D?browski
Polish Journal of Cardiology , 2002,
Abstract: Rodzina endotelin sk ada si z 3 ró ni cych si od siebie sk adem aminokwasowym peptydow, kodowanych przez 3 odr bne geny. Poznanie fizjologii i ostatnie odkrycia swoistych antagonistów receptorów dla endotelin pozwoli y scharakteryzowa fizjologiczne w a ciwo ci tych peptydow i doprowadzi o do narodzin skomplikowanej sieci wzajemnych uwarunkowań okre lanych dzi jako uk ad endotelin". Obecno endotelin i ich receptorów wykazano niemal we wszystkich tkankach i narz dach organizmu cz owieka i zwierz t do wiadczalnych. Udowodniono, e pe ni one kluczow rol w regulacji funkcji uk adu kr enia przez bezpo rednie oddzia ywanie na napi cie ciany naczyniowej, regulacj o rodkow , wp yw na wydzielanie AVP i ANP, oddzia ywanie na uk ad renina-angiotensyna-aldosteron oraz regulacj funkcji nerek. Praca podsumowuje najnowsze odkrycia dotycz ce metabolizmu endotelin ze szczególnym uwzgl dnieniem ich wp ywu na kontrol ci nienia t tniczego krwi u zwierz t i cz owieka.
Higher moments of convolutions
Tomasz Schoen,Ilya D. Shkredov
Mathematics , 2011,
Abstract: We study higher moments of convolutions of the characteristic function of a set, which generalize a classical notion of the additive energy. Such quantities appear in many problems of additive combinatorics as well as in number theory. In our investigation we use different approaches including basic combinatorics, Fourier analysis and eigenvalues method to establish basic properties of higher energies. We provide also a sequence of applications of higher energies additive combinatorics.
Additive dimension and a theorem of Sanders
Tomasz Schoen,Ilya D. Shkredov
Mathematics , 2014, DOI: 10.1017/S1446788715000324
Abstract: We prove some new bounds for the size of the maximal dissociated subset of structured (having small sumset, large energy and so on) subsets A of an abelian group.
Roth's theorem in many variables
Tomasz Schoen,Ilya D. Shkredov
Mathematics , 2011,
Abstract: We prove, in particular, that if a subset A of {1, 2,..., N} has no nontrivial solution to the equation x_1+x_2+x_3+x_4+x_5=5y then the cardinality of A is at most N e^{-c(log N)^{1/7-eps}}, where eps>0 is an arbitrary number, and c>0 is an absolute constant. In view of the well-known Behrend construction this estimate is close to best possible.
On sumsets of convex sets
Tomasz Schoen,Ilya D. Shkredov
Mathematics , 2011,
Abstract: A set of reals A={a_1,...,a_2} is called convex if a_{i+1} - a_i > a_i - a_{i-1} for all i. We prove, in particular, that |A-A| \gg |A|^{8/5} \log{-2/5} |A|.
Terapia hormonalna okresu menopauzalnego – stan wiedzy w 2010 r. Stanowisko Zespo u Ekspertów Polskiego Towarzystwa Menopauzy i Andropauzy
Romuald D?bski,Tomasz Paszkowski,Leszek Pawelczyk,Tomasz Pertyński
Przegl?d Menopauzalny , 2010,
Abstract: Zespó Ekspertów Polskiego Towarzystwa Menopauzyi Andropauzy na posiedzeniu 23.04.2010 r. dokona przegl duliteratury przedmiotu z ostatnich 3 lat dotycz cejterapii hormonalnej okresu menopauzalnego (menopausalhormone therapy – MHT), koncentruj c si szczególniena aspektach praktycznych prowadzenia tej terapiiw wietle Evidence Based Medicine. Niniejsze stanowiskoPTMA jest uaktualnieniem poprzedniego z 2007 r.
Imaging of the Cervical and Abdominal Lymph Nodes in a Combined Treatment of Squamous Cell Oesophageal Carcinoma
Grzegorz wik, Andrzej D browski, Tomasz Skoczylas, Grzegorz Wallner
Polish Journal of Surgery , 2011, DOI: 10.2478/v10035-011-0015-7
Abstract: The presence of lymph node metastases in esophageal cancer is one of the most principle prognostic indicators. The aim of the study was the assessment of cervical and abdominal lymph nodes (N/pN) by ultrasound (US) examination in patients with squamous cell carcinoma of the thoracic esophagus referred to esophagectomy. Material and methods. The analyzed study population consisted of 110 patients who underwent a combined-modality treatment (neoadjuvant chemotherapy - 74 patients or chemoradiotherapy - 36 patients). The results of US lymph node assessment were compared to the results of histopathological evaluation of lymph nodes harvested during surgery and diagnostic value of cervical and abdominal US in terms of sensitivity, specificity, positive and negative predictive value were determined. Results. The complete metastatic regression was shown by US in 14.3-22.2% of patients depending on the node location and mode of neoadjuwant treatment. There was no significant difference in the assessment of lymph nodes between chemotherapy and chemoradiotherapy patients. Conclusions. US investigation is a method recommended for the assessment of metastatic lymph nodes in squamous cell oesophageal carcinoma, especially - for cervical nodes, where its specificity amounted to 96% and sensitivity - 100%. When positive nodes are suggested by US of the neck esophagectomy should be combined with 3-field lymphadenectomy.
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