applications of number theory
Tài liệu Báo cáo khoa học: "Applications of the Theory of Clumps" pptx
... Thus we may take account of i) and ii) by computing APPLICATIONS OF THE THEORY OF CLUMPS the coefficient for each pair of objects on the basis of the observed number of common properties, and ... small number of factors Putting them in a specifically information retrieval form we have: 1) the number of times each pair of terms co-occurs; 2) the number of times each term occurs; 3) the number ... their various applications will therefore be considered next NEEDHAM The Application of the Theory of Clumps to Information Retrieval The most important application of the Theory of Clumps has...
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Three applications of economic theory and methodology in information systems research
... of the Welfare 54 Appendix 2.3 Proof of Proposition 55 Appendix 2.4 Proof of Proposition 57 Appendix 2.5 Proof of Proposition 59 CHAPTER The Value of ... open source and proprietary software Thus, the price and profit of the proprietary software vary correspondently I compare the maximum profit of the 17 proprietary software under different compatibility ... the number of open source users and k measures the degree of contribution of each consumer to the quality of the open source software The parameter γ is to the network externality that a software...
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some applications of classical modular forms to number theory
... Relative class numbers of abelian extensions of CM number fields 2.1 Introduction Let H be the Hilbert class field of an imaginary quadratic extension K of a totally real number field F of degree n ... John Tate SOME APPLICATIONS OF CLASSICAL MODULAR FORMS TO NUMBER THEORY by Riad Mohamad Masri, B.S.; M.S DISSERTATION Presented to the Faculty of the Graduate School of The University of Texas at ... dF wF NF/Q (ab) For a = b = OF , the Eisenstein series E(s, z; OF , OF ) satisfies the functional equation G(1 − s)E(s, z; OF , OF ) = G(2(1 − s))E(1 − s, z; OF , OF ), where G(s) is the gamma...
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Multi-Carrier Digital Communications - Theory and Applications of OFDM
... Communications: Theory and Applications of OFDM Ahmad R S Bahai and Burton R Saltzberg Principles of Digital Transmission: With Wireless Applications Sergio Benedetto and Ezio Biglieri Simulation of Communication ... concise summary of the present state of the art of the theory and practice of OFDM technology The authors believe that the time is ripe for such a treatment Particularly based on one of the author's ... Digital Communications Theory and Applications of OFDM Chapter 1.1 Introduction to Digital Communications Background The physical layer of digital communications includes mapping of digital input information...
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THEORY AND APPLICATIONS OF MONTE CARLO SIMULATIONS ppt
... defined, a number of Monte Carlo trials should be select‐ ed – step (d) Generally, the greater the number of simulation trials, the greater the conver‐ 33 34 Theory and Applications of Monte Carlo ... this range of mass of 0.1 g, with a coverage factor k = and a level of confidence of 95% The uncertainty of the mass due to the calibration of the balance constitutes another source of uncertainty ... that contains the least number of data points Since for the proposed distribution each bin contains equal number of data points, any other division to the same number of bins would result in...
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Báo cáo hóa học: " Research Article Applications of Fixed Point Theorems in the Theory of Generalized IFS" docx
... family of all subsets of a given set X and P ∗ X denotes the set P X \ {∅} For a subset A of P X , by A∗ we mean A \ {∅} Given a metric space X, d , K X denotes the set of compact subsets of X ... Point Theory and Applications ii if Hi i∈I and Ki i∈I are two families of nonempty subsets of X, then Hi , h i∈I Ki ≤ sup h Hi , Ki ; 2.13 i∈I i∈I iii if H and K are two nonempty subsets of X ... , Km , in K∗ X , h 2.27 Fixed Point Theory and Applications The existence of the attractor of a GIFs for contractions In this section, m is a natural number, X, d is a compact metric space,...
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THEORY AND NEW APPLICATIONS OF SWARM INTELLIGENCE pot
... scalability of the algorithms as a function of the number of dimensions were also presented Bastos-Filho et al (2010) presented an analysis of the performance of PSO algorithms when the random number ... , (4) where n f is the number of bees in foraging process t is the pseudo time or foraging expedition The number of observer bees is N − n f when N is the total number of bees Alternatively, ... some types of problems The CUDA capacity to execute a high number of threads in parallel is due to the hierarchical organization of these threads as a grid of blocks A thread block is set of processes...
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Theory and Novel Applications of Machine Learning doc
... which is the maximum allowed number of future regions of interest M is a user defined upper bound of the number of future regions of interest Mnew, while the actual number is adaptively selected ... end of the game the value of the ships owned by the companies is estimated (number of ships is multiplied by a constant) and added tho the money balance 36 Theory and Novel Applications of Machine ... p(G) of the last GA generation, select g points of future interest (1 ≤ g ≤ G/2); Step Initialize the LPτO search in the neighbourhood of each selected point; 18 Theory and Novel Applications of...
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Multi-Carrier Digital Communications Theory and Applications of OFDM pdf
... Communications: Theory and Applications of OFDM Ahmad R S Bahai and Burton R Saltzberg Principles of Digital Transmission: With Wireless Applications Sergio Benedetto and Ezio Biglieri Simulation of Communication ... concise summary of the present state of the art of the theory and practice of OFDM technology The authors believe that the time is ripe for such a treatment Particularly based on one of the author's ... Digital Communications Theory and Applications of OFDM Chapter 1.1 Introduction to Digital Communications Background The physical layer of digital communications includes mapping of digital input information...
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THEORY AND APPLICATIONS OF CT IMAGING AND ANALYSIS pdf
... cost-effectiveness of the method and the lack of a control group, the works 18 Theory and Applications of CT Imaging and Analysis have been multiplying and make clear the intention of coming to a standard of ... size of the circles by finding the central point, mass center, of each nodule and then, calculated the distance of this central point to the most distant point of each 28 Theory and Applications of ... cancer is related to difficulty of its precocious diagnosis of the low the present scenario of reduction of the smoking habit by the people as a result of the the absence of symptoms and to the poor...
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Báo cáo toán học: " Some Applications of the Proper and Adjacency Polynomials in the Theory of Graph Spectra" docx
... where Ψ(k) denote the number of closed walks of legth k which go the electronic journal of combinatorics (1997), #R21 13 through the root of a (internally) δ-regular tree of depth ≥ k/2 (hence, ... one of the classes of a 3-class association scheme if and only if there exists an integer µ ≥ such that the number nµ attain the bound in (48) for every vertex u In our context, a short proof of ... so-called local spectrum of the graph The members of one of these families are called the “proper polynomials,” and can be seen as a generalization, for all graphs, of the distance polynomials...
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Theory and applications of ofdm and cdma wideband wireless communications phần 1 ppsx
... Theory and Applications of OFDM and CDMA Theory and Applications of OFDM and CDMA Wideband Wireless Communications Henrik Schulze and Christian Luders ¨ Both of Fachhochschule ... bandwidth of the two components (real and imaginary part) of the baseband signal, 20 BASICS OF DIGITAL COMMUNICATIONS resulting in one signal of bandwidth B instead of two (real) signals of bandwidth ... 4.1.4 OFDM with guard interval 4.2 Implementation and Signal Processing Aspects for OFDM 4.2.1 Spectral shaping for OFDM systems 4.2.2 Sensitivity of OFDM...
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Theory and applications of ofdm and cdma wideband wireless communications phần 2 ppt
... 1.4.1 (Polar representation of the Gaussian erfc function) π/2 1 erfc(x) = π exp − x2 dθ sin2 θ (1.87) Proof The idea of the proof is to view the one-dimensional problem of pairwise error probability ... that robustness of high-level orthogonal modulation is that the number of the required signal dimensions and thus the required bandwidth increases exponentially with the number of bits 1.5 Linear ... values φk of the symbol Two adjacent points of the constellation have the phase difference 2π/M It is a matter of convenience whether φ = is a point of the constellation or not For 2-PSK – often...
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Theory and applications of ofdm and cdma wideband wireless communications phần 3 ppt
... convolutional codes, it is often convenient to work with code words of finite length, but it is not necessary, and the length is not determined by the code Theory and Applications of OFDM and CDMA 2005 ... L-value of the random bit S We note that L(S = s) = sL (3.10) The L-value of a random bit S (written as a sign) has a very natural interpretation as a soft bit The sign of L says which of the ... decision value of the result is obtained as modulo addition of the hard decision values of the two bits Its reliability given by |L| equals the reliability of the least reliable of the two bits,...
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Theory and applications of ofdm and cdma wideband wireless communications phần 4 ppt
... path of infinite length with an infinite number of ones in the data, but with only a finite number of ones in the code word As a CHANNEL CODING 119 Data bits Coded bits Figure 3.8 Example of a catastrophic ... given data stream in an appropriate way Theory and Applications of OFDM and CDMA 2005 John Wiley & Sons, Ltd Henrik Schulze and Christian L¨ ders u 146 OFDM Frequency Time Serial symbol duration ... engineer that the concept of OFDM should work 154 OFDM skl IFFT DAC s(t) Analog channel rkl r(t) FFT ADC Figure 4.7 OFDM implementation by FFT However, the concept of orthogonality is only hidden...
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Theory and applications of ofdm and cdma wideband wireless communications phần 5 ppsx
... the inphase component I (t) of an OFDM signal 168 OFDM Number of samples 15,000 10,000 5000 0 0.5 1.5 Amplitude 2.5 3.5 Figure 4.22 Histogram for the amplitude of an OFDM signal a Gaussian random ... think of an infinite time duration of the transmission, but the frequency domain is always hard limited by the signal bandwidth, corresponding to a finite number of OFDM subcarriers This number ... windowing method for an OFDM signal with a high number of carriers Figure 4.19 shows the OFDM spectra for K = 1536 and δ = 0, /16, /8, /4 We note a very steep decay for the out -of- band radiation Even...
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