relation of surface to volume integrals
Mechanics of material
... moment of inertia of area principal moments of inertia of area polar moment of inertia of area centroidal polar moment of inertia of area stress concentration factor; radius of gyration of area; ... instructors to choose only those topics that they wish to present in their course Chapter 12, entitled ‘‘Special Topics,’’ consolidates topics that are important but not essential to an introductory ... distance modulus of elasticity eccentricity of load; spacing of connectors frequency force shear modulus gravitational acceleration horizontal force height; depth of beam moment of inertia of area centroidal...
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Finite element model for nonlinear analysis of steel–concrete composite beams using Timoshenkos beam theory
... evaluaated accordiing to EB-E EB 8DOF model, m for an ny value of tthe ratio L/H H The curvves, related to cases of low wer shear stiiffness, monnotonically reeduce to thee case of abssent interacttion ... Width (mm) S Section A (mm2) Area K Kind of studs P Pitch of studds (mm) N Number of sttuds H top (mm Hog m2) H bottom (mm2) Hog S top (mm Sag m2) S bottom ((mm2) Sag 3354 60 610 6” x 3” x 12lb/ft ... thee problem The T use of this t element caan lead to poor p and unnsatisfactory results Th hus, the use of the 10D DOF T–T beeam element is discouragedd Table 1: Degrees D of shhape functionns...
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Estimation of luminous efficacy of daylight and illuminance for composite climate
... using the relation as follows [19, 20]: Carbon credit earned = Mitigation of CO emissions (tons/year) × 21 (Euro/ton of CO ) (29) The factor considered in Eq (29) is 21 Euro (€)/metric tons of CO2 ... area of room under big dome (Af, m2) Floor area of room under small dome (Af, m2) Total area of glazing (Ag, m2) for big dome Total area of glazing (Ag, m2) for small dome Transmittance of glazing ... monetary value of one carbon credit earned due to mitigation of metric ton of CO2 emissions due to skylight for natural daylighting inside the room 10 Conclusion This study was a step towards predicting...
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A New Formula for Child Health: Doctors Communities + Healthy Kids pdf
... coordinator to find an issue of equal interest to work on After establishing the subject matter of the project, the Resident and coordinator work to discuss how to tackle the issue Much of this ... effort to make this guidebook most useful to you, our reader, we have divided each story into five subheadings: !"The Community Context A brief discussion of some of the key characteristics of the ... mentoring staff got really excited and took off with it.” From a consistent group of girls who helped organize the cooking experiments to a mom on her way to recovery who encouraged the kids to...
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The Formula For economic GrowTh on main STreeT america pdf
... in the factors of production, which are understood to include the advance and application of technology, create efficiencies in production This begins to lead us to an explanation of why some ... things they could outside of the home to earn a living Many of them lost their jobs to the returning servicemen at the conclusion of hostilities; some were happy to return to their previous lives ... suffered due to the loss of primary industries to lower-cost markets around the world will be examined Among the winners, rapidly growing areas of the southwestern United States come to the top of the...
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Đề tài " On Mott’s formula for the acconductivity in the Anderson model " potx
... be improved The factor of L2 obtained going from (4.53) to (4.54) must also be correct because of (4.62), since we need Ld+2 in (4.56) to get d+2 in (4.63) To obtain a factor of (log ν )d+1 as ... final estimate will lead to a choice of L ∼ log ν , which is d+2 in (4.2) By improving some of the responsible for the factor of log ν estimates in the proof (at the price of making them more cumbersome), ... (random) finite -volume restriction of the Anderson Hamiltonian H to (ΛL ) with periodic boundary condition We will think of (ΛL ) as being naturally embedded into (Zd ), with all operators defined...
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EAT TO LIVE: The Revolutionary Formula for Fast and Sustained Weight Loss ppt
... 72 percent of the magnesium 95 percent of the vitamin E 50 percent of the folic acid 72 percent of the chromium 78 percent of the vitamin B 78 percent of the fiber In a six-year study of 65,000 ... have been offered There is the pervasive role of advertising in Western society, the loss of family and social cohesiveness, the adoption of a sedentary lifestyle, and the lack of time to prepare ... the plethora of Eat to Live xi diet books and remedies have created a complex a n d contradictory array of choices for those w h o are desperate to lose weight With the publication of Dr Joel Fuhrman's...
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polymer compositeeur 21682 en tools for composite indicator building
... of sub-indicators due to the correlation of indicators It grows with the number of sub-indicators and with the covariance of each pair of them If no correlation exists and sub-indicators are independent ... cutoff VIF value of 5.0 (c) The Bartlett’s test of sphericity is used to test the null hypothesis that the sub-indicators in a correlation matrix are uncorrelated, that is to say that the correlation ... number of countries considered, Q the number of sub-indicators available, and xo = Q ∑x q =1 j is the sum of all sub-indicators C-alpha measures the portion of total variability of the sample of...
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báo cáo hóa học: " Perturbation formula for the two-phase membrane problem" potx
... http://www.advancesindifferenceequations.com/content/2011/1/19 Page of 16 The regularity of the solution, the Hausdorff dimension and the regularity of the free boundary are discussed in [2-5] In [5], on the basis of the monotonicity formula due to Alt, ... http://www.advancesindifferenceequations.com/content/2011/1/19 Page of 16 Were Γ± = ∂ {±u(x) >0} ∩ Ω The function δ is constructed as a solution of certain ¯ Dirichlet problem in {uλ > 0} The vector v1 stands for the exterior unit normal vector ¯ to ∂{uλ ... where u is the solution of (1.2) corresponding to the coefficients l+ and l- The main results in this paper are the following: The stability of solution with respect to boundary value and coefficients...
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Báo cáo hóa học: " Space-Time Water-Filling for Composite MIMO Fading Channels" doc
... applied to MIMO systems with unequal numbers of transmit and receive antennas SPATIAL AND SPACE-TIME WATER-FILLINGS (3) where H is the MIMO channel, Q is the autocorrelation matrix of the input vector ... approximation to g(t) will be utilized to sim(σ plify the calculation of Γ0 , M) An interesting property of Gaussian random matrices is that the distribution of t/M has a limit as the number of antennas ... Furthermore, s is independent of Hw , hence s is independent of t The cdf of λ is M p(λ)λ = ME log + σ2 Since 10 log10 s ∼ N (0, ρ2 ), by a simple change of variables, the pdf of s can be written as...
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Spiritual MarketingA Proven 5-Step Formula for Easily Creating Wealth from the Inside Outby Joe pot
... secret But in June, 1999 I felt the inner urge to give a copy of the manuscript to this book to Bob Proctor, at the beginning of one of his Science of Getting Rich seminars Bob read it and loved ... forces of life to bring it to you, and you to it Spiritual Marketing * When I first wrote this book, I was living in Houston After I met Nerissa, I moved to Austin I then began the process of manifesting ... forms itself according to your demands, and must have a pattern from which to work A pan of dough is as willing to be formed into bread as biscuit It makes as little difference to Spirit what we demand.”...
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The power formula for linkedin success
... into, “So, I hear you need some office furniture.” Business professionals use their LinkedIn profiles to tell their stories As a result, it can be extremely beneficial to review the profile of ... removed, causing the tower to fall Think of the tower as a 100 percent complete profile and the individual blocks as the elements of your profile Your tower may continue to stand without the ... expect your profile to regularly be compared with those of your competitors Therefore, in order to gain a competitive advantage, you will want your profile to include a plethora of information,...
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Báo cáo toán học: "A Plethysm Formula for pµ (x) ◦ hλ (x) William F. Doran IV Department of Mathematics California Institute of Technology Pasadena, CA 91125" doc
... property of the Jeu de Taquin operation A proof is given in the proof of Theorem 4.9.4 of [ S] Lemma 3.1 Given a semistandard tableau Q of shape η, the number of semistandard tableaux T of shape ... skew-shape Do Let λ/µ be the shape of T Let F be any outer corner of µ While F is not an outer corner of λ Do If value of T to right of F is greater than or equal to the value below F Swap F with ... journal of combinatorics (1997), #R14 1.1 Tableaux A partition of n is a weakly decreasing sequence λ = (λ1 ≥ · · · ≥ λl ) of positive integers which sum to n Either |λ| = n or λ n is used to denote...
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Báo cáo toán học: "A Multivariate Lagrange Inversion Formula for Asymptotic" pps
... let a vector to a vector power be the product of componentwise exponentiation as in xn = xn1 · · · xnd Let [xn ] h(x) d denote the coefficient of xn in h(x) Let ai,j denote the determinant of the ... S The sign of the resulting term will be (−1)|S| times the sign of π Since (i) the sign of π is −1 to the number of even cycles in π and (ii) |S| has the same parity as the number of odd cycles ... Connell, and Wright [1] the electronic journal of combinatorics (1998), #R33 Proof of Theorem Expand the determinant δi,j − ai,j For each subset S of {1, , d} and each permutation π on S, select...
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Báo cáo toán học: "A ‘nice’ bijection for a content formula for skew semistandard Young tableaux" docx
... cells in Q to the right and to the bottom of ρ – if they exist – are filled already, otherwise ρ would not be a bottom-right corner of P Because the sequence of entries chosen is monotonically ... SSYT P of shape (4, 4, 4, 3)/(2, 2, 1) on the left of Figure to the reverse SSYT Q in the middle of Figure 2, which in turn is mapped to the pair on the right of Figure 2, consisting of a reverse ... reverse SSYT of shape (4, 3, 3, 1)/(2, 2, 1) is shown A Bijective proof of Identity In fact, we will give a bijective proof of the following rewriting of Identity 1: q n(P ) = P SSYT of shape λ/µ...
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Báo cáo toán học: " A q-Analogue of Faulhaber’s Formula for Sums of Powers" doc
... journal of combinatorics 11(2) (2005), #R19 17 From the computational point of view, with the help of Maple or other softwares, it is, of course, not difficult to give further extension of the ... and y = q into (3.13) The proof of Theorem 1.4 is analogous to that of Theorem 1.2 and is omitted here Sums of m-th Powers for m ≤ 11 Theorems 1.1–1.4 permit us to compute Pm,k (q), Qm,k (q), ... the problem of q-analogues of the sums of powers has attracted the attention of several authors [2, 9, 8], who found, in particular, q-analogues of the Faulhaber formula corresponding to m = 1,...
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Báo cáo toán học: "A Refinement of Cayley’s Formula for Trees" doc
... journal of combinatorics 11(2) (2006), #R27 (L) To define Θv (L), let D be the set of labels, with respect to L, of the descendants of v Then we define Θv (L)(v) to be the smallest element of D greater ... labelings of F Proof The left side of (2.1) is equal to L,S α|S| where L runs over all labelings of F and S runs over all subsets of the set of vertices of F that are proper with respect to L The ... labeling of F is a bijection from V (F ) to [n] A vertex of F is proper with respect to a labeling of F if its label is the smallest of the labels of all its descendants The hook length h(v) of a...
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Báo cáo toán học: "An Ehrhart Series Formula For Reflexive Polytopes" pptx
... boundary of some non-negative integral dilate of P iii h∗ = h∗P −i for all i, where h∗ is the ith coefficient in the numerator of the Ehrhart i i d series for P For a product of polytopes, it ... right hand side of (1) corresponds to multiplying the numerators of EhrP (x) and EhrQ (x) and dividing by (1 − x)dP +dQ +1 So, just as the product polytope P × Q induces a product of Ehrhart polynomials, ... polynomials, we see that the free sum induces a product of the numerators of the Ehrhart series of the summands It is the electronic journal of combinatorics 13 (2006), #N15 interesting that the Ehrhart...
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Báo cáo toán học: "A closed formula for the number of convex permutominoes" pot
... operator ϑ satisfies conditions and of Proposition Proof We have to prove that any convex permutomino of size n ≥ is uniquely obtained through the application of the operator ϑ to a convex permutomino ... application of operation (β) to the (cn )-th cell (from bottom to top) of P (see Figure 8); the rightmost reentrant point of P is of type γ, and then necessarily ≤ (cn ) < n; let P be the permutomino of ... application of operation (γ) to the (n − (cn ))-th cell (from bottom to top) of P (see Figure 9); the rightmost reentrant point of P is of type δ, also with (cn ) = n; due to the permutomino definition,...
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