... temperature, and particle size on the thermal conductivity ratio of alumina-water nanofluids Nada et al [10] investigated the heat transfer enhancement in a horizontal annuli of nanofluid containing various ... theoretically investigated the natural convection thermal characteristics of Al2O3-water nanofluid in a rectangular cavity heated from below Tiwari and Das [15] numerically investigated the behavior of ... Page of with a constant wall temperature Ghasemi and Aminossadati [13] showed the numerical study on natural convection heat transfer of CuO-water nanofluid in an inclined enclosure Hwang et al...
... and 36 For k1 = this yields value of m = 1/6 which is smaller than the experimental diameter of the challenger packing of 49 disks in Fig 2.6 n = k2 − The pattern can be viewed as asquareof ... data, e.g no contact diagram Our best packing of 21 disks has a smaller diameter (see Fig 2.1) the electronic journal of combinatorics (1996), #R16 at least 10−5 The existence of this gap also ... out that some of the proposed methods in the literature attempt to prove a packing optimal or, at the least, prove that a packing with particular parameters exists Usually to fulfill this task,...
... geometrical configuration corresponding to the points and edges ofa given diagram in which all inter-center distances are at least one disk diameter and center-boundary distances are at least a disk ... families of packings, as can be done when packing n(n + 1)/2 equal disks in an equilateral triangle References [GL] R .L Graham and B D Lubachevsky, Repeated Patterns of Dense Packings of Equal ... determine a sufficient number of decimal digits of packing parameters, e.g., the value of m the electronic journal of combinatorics (2000),#R46 Phase takes the configuration generated in Phase as a starting...
... properties of √ As many of the packings displayed in [2] show, by rotating by half a right-angle certain squares from the trivial method of packing squares, we may be able to pack one extra square, ... the notion of an unavoidable set of points in asquare S, namely a finite set of points so placed that any unit square inside S must contain a member of the set, possibly on its boundary If we ... − m and we pack it trivially using (n − m)n unit squares, so that it remains to show that mn + unit squares can be packed into R We first partition R into a parallelogram P and two trapezia T...
... pseudocode of used algorithms This variation of SA algorithm gives us a colouring ofasquare pattern that we can repeat for the whole infinite square lattice, and the obtained colouring is a packing ... can fill an infinite square grid (each square on 24 × 24 vertices), where each square is represented by our square pattern The main idea is to colour as many vertices ofa (partially filled) square ... that it form the basis of an optimization technique for combinatorial (and other) problems SA’s major advantage over other methods is an ability to avoid becoming trapped at local minima The algorithm...
... point of each pair of alternatives is chosen, 14 points are placed so that non-avoidability lemmas apply to all but two of the bounded regions in Figure (for readability, the various alternative ... Case R4 References [1] S El Moumni, Optimal Packings of Unit Squares in a Square, Studia Sci Math Hungar 35 (1999), no 3-4, 281-290 [2] P Erd˝s and R L Graham, On Packing Squares with Equal Squares, ... Technical lemmas In this section, we present a range of “non-avoidance” lemmas, as well as various results dealing with boxes of restricted movement Non-avoidance lemmas state that if the centre of...
... the search of strong words We refer to Lothaire [6] for elementary definitions in combinatorics on words Let A = {a, b, c} be a ternary alphabet, and B = {0, 1} a binary alphabet For a binary word ... Several parts of the proofs are computer aided, both for searching the strong words (the main concept in the proofs) as well as for checking their compatibilities We have included the Mathematica ... proves the claim ¯ ¯ ˆ Acknowledgement Tomi K¨rki acknowledges the support of Magnus Ehrnrooth Founa dation References [1] A S Fraenkel and J Simpson How many squares can a string contain? J Combin...
... Yamanaka T, Shinagawa M, Nunoda S, Nishimura Y, Shibata K, Saitoh H, Nishinaga M, Ishine M, Wada T, Okumiya K, Matsubayashi K, Yano S, Ichihara K, Cornelissen G, Halberg F, Ozawa T: Arterial stiffness ... associated with the presence and quantity of coronary artery calcium: a community-based study Hypertension 2006, 47:174-179 Matsuoka O, Otsuka K, Murakami S, Hotta N, Yamanaka G, Kubo Y, Yamanaka ... PWV and increased risk of myocardial infarction [7] may be due, at least in part, to myocardial ischemia 15 Stein S, Okal EA: Seismology: speed and size of the Sumatra earthquake Nature 2005,...
... Coil (A, A' , A" and B, B', B") and a Capacitor (CA and CB) Windings A and B have a number of Spring Contacts, divided in to Group KA and Group KB There are seven Cranks under the Pushbutton Dial, ... Rotary Dial in a Decadic Pulse Telephone The other parts ofa DTMF Telephone are similar to those ofa Decadic Pulse Telephone, thus the process of Making and Receiving a Call is similar to that ... Exchange is transmitted to the Telephone The Ringing Signal is generally 10 mA AC Signal, with a Frequency between 20 and 25 Hz, that activates a pair of Electromagnet which operates a small Hammer...
... domain of f we always have < θ∗ < 45◦ and < f (a) < √ Lemma Let a and b satisfy 2 − < a < 1, < b < 1, (a, b) within of (0, 1), and b ≤ f (a) Then any box whose center is in the quadrilateral ... forms of some of our lemmas In particular: Lemma Let T be a triangle, and suppose that the component of any side of T in the direction of any unit vector making an angle of 0◦ or 45◦ with either axis ... have length Nonavoidance lemmas apply to all of the regions shown except for the rectangles at the top and bottom If 11 boxes are to be packed into the square, at least one of them must be placed...
... plasma at the end of the laser pulse, when the calculated and measured data are compared At the end of the laser pulse, the measured thickness of the plasma at the front side of the specimen varies ... puni, are directly related to the ambient air pressure, pamb , and the ambient sonic velocity, aamb , by ( (A. 6a) and (A. 6b)): auni γair + Muni aamb γair + auni Muni + 1+ aamb puni auni = + γair ... of total particles, were estimated using a one-dimensional gas dynamics analysis, with the measured plasma velocity as the input parameter The mechanisms of laser–plasma interaction were assessed...
... iXon camera is 20 s However, this camera is capable of taking data at the laser repetition rate of 10 Hz, enabling fast and efficient data collection Two Stanford Research Systems DG535 delay generators ... beam along the horizontal axis and recollimates the beam along its vertical axis Images are captured with an Andor iXon electronmultiplying charge-coupled device ͑EMCCD͒ camera, which has a 512ϫ ... CCD array and a pixel size of 16 m An objective lens with adjustable magnification between 2.5 and 10 provides a viewable field between 0.82 and 3.28 mm square The shortest available gate time of...
... ofa channel realization to obtain values for these parameters These values are substituted into (24) and (28) to achieve the analytical BER Both the simulated and the analytical BER are obtained ... for pulse- position modulation UWB signals, in IEEE Veh Tech Conf., Montreal, Canada, pp 1–5, 2006 24 A Vallese, A Bevilacqua, C Sandner, M Tiebout, A Gerosa, A Neviani, Analysis and design of an ... data rate ofa GFSK system is one half of that ofa PPM system In UWB channels, the multipath components are resolvable and not overlapped due to the extremely short pulse duration And each pulse...
... allograft surface relative to total allograft surface, and callus area All static measurements were made on composite images at 2× magnification Animal was treated as the experimental unit for statistical ... experimental allograft In a sterile surgical suite, the diaphyseal region of each tibia was palpated and a small medial incision was made overlying the midshaft of the tibia A cm diaphyseal ostectomy was ... biomechanical and histological analysis Preparation of grafts Tibial allografts were aseptically harvested from twelve skeletally mature, female sheep A separate donor was used for each experimental...
... ofa channel realization to obtain values for these parameters These values are substituted into (24) and (28) to achieve the analytical BER Both the simulated and the analytical BER are obtained ... for pulse- position modulation UWB signals, in IEEE Veh Tech Conf., Montreal, Canada, pp 1–5, 2006 24 A Vallese, A Bevilacqua, C Sandner, M Tiebout, A Gerosa, A Neviani, Analysis and design of an ... data rate ofa GFSK system is one half of that ofa PPM system In UWB channels, the multipath components are resolvable and not overlapped due to the extremely short pulse duration And each pulse...
... performance of GFSK for different 2TW values in AWGN channels the values of parameter ba, bb and l There is no mathematical formula to calculate the captured energy as a function of the length of ... pulse- position modulation UWB signals in IEEE Veh Tech Conf., Montreal, Canada 1–5 (2006) 24 A Vallese, A Bevilacqua, C Sandner, M Tiebout, A Gerosa, A Neviani, Analysis and design of an integrated notch ... data rate ofa GFSK system is one half of that ofa PPM system In UWB channels, the multipath components are resolvable and not overlapped due to the extremely short pulse duration And each pulse...
... example with a rather large deviation from equidistribution of letters This uses three generating words w1 = abcacbacabacbcabacabcacbcabacbcacba w2 = abcacbcabacbabcbacabcbabcabacbcacba w3 = abcacbacabacbcabacabcbabcabacbcacba ... 29 87 growth rates for these examples are at least 21/29 Our next examples use the generating words w1 = abcacbacabcbabcabacbcabcbacbcacba w2 = abcacbcabacabcacbabcbacabacbcacba ( #a = 11, #b = ... square- free words of length n by An , we have A0 A1 A2 A3 = = = = {λ}, {a, b, c}, {ab, ac, ba, bc, ca, cb}, {aba, abc, aca, acb, bab, bac, bca, bcb, cab, cac, cba, cbc}, (1) and so on, with A ...
... result, which is: 2 (3) If H1 and H2 are two graphs of girth at least such that H1 and H2 are isomorphic, then H1 and H2 are isomorphic The key idea behind (1) and (2) is that each maximal clique of ... This was recently improved by the authors of [1] who proved: 2 (2) If H1 and H2 are two graphs of girth at least such that H1 and H2 are isomorphic, then H1 and H2 are isomorphic In the ... deduced from [1] The notation H1 = H2 means that two graphs are equal (the same vertex set and the same edges), not just isomorphic Lemma 2.1 Let H1 and H2 be graphs of girth at least on the vertex...
... coefficient of determination for inter-technologies comparisons; RE = averaged value of relative error (absolute bias/mean); LOA = limits of agreements of the Bland and Altman representation (two × standard ... CO values assessed by transthoracic bioreactance and PC arterial wave analysis, precision, time, and amplitude responsive, and the Page of (page number not for citation purposes) Critical Care ... study DR and DD collected the data PS made the statistical analysis and wrote the draft of the manuscript All authors finalized and approved the manuscript Acknowledgements We thank Steve Novak for...