... angles and couplings, these transformation rules form the so-called standard model of particle physics Among others, the standard model explains how lightning forms, why colours vary, and how ... basis of – and completely equivalent to – all the usual formulations of quantum theory, including the many-path and the information-theoretic formulations We also note that only a non-zero action ... Gauge interactions deduced from strands Interactions and phase change 203 • Tail deformations versus core deformations 204 Electrodynamics and the first Reidemeister move Strands and the twist,...
... kinds of information: the dependency relation between multiple cases where multiple nouns of the same case not modify a verb, and the co-occurrence of nouns and verbs One way to use such information ... model that uses the co-occurrence information separately and reranks the analysis candidates generated by the existing machine learning model In the transformation from Equation (2) to Equation ... a posterior context model3 To ensure that we collected reliable co-occurrence information, we removed the information for the bunsetsus with punctuation4 Like (Torisawa, 2001), we estimated...
... we have the formula (2π)d ν∧∗η M for the L2 -hermitian product of two harmonic representatives of H q (M, Ωp ) M Furthermore, the operator ωM ∧ (·) sends harmonic forms to harmonic forms d−p−q−r ... fixed-point formula of Lefschetz type ([13]) Our proof of the particular case of the Gross-Deligne conjecture described above relies on this last theorem; we write out the fixed-point formula for ... arithmetic fixed-point formula (equivariant arithmetic Riemann-Roch theorem) proved by K K¨hler and the o second author in [13] More precisely, we write down the fixed-point formula as applied to...
... mechanism of membrane pore formation Structure 11, 1319–1328 Athanasiadis A, Anderluh G, Macek P & Turk D (2001) Crystal structure of the soluble form of equinatoxin II, a pore-forming toxin from the ... and 6B) In addition, loops 25–29 and 75–83 adopt conformations that are slightly different from those found in wild-type StnII Finally, the conformation of K26 side chain changes; it moves close ... speculate that the conformational processes affecting these residues could be involved in other types of molecular interactions apart from those involving lipid binding and pore formation Accordingly,...
... suggested to be retained in the 27-kDa fhx/P25 of J-139 because both 30- and 27-kDa forms were converted to the 24-kDa form by digestion with endo-H (Fig 2, lane 9) The presence of N-linked oligosaccharide ... secreted into cocoons (Fig 3B, lane 1), whereas only the 30-kDa form was present in the ER extract and both 30- (major) and 27-kDa (minor) forms were present in the ER plus Golgi mixed extracts (Fig ... events in the assembly of the (H-L)6fhx1-type elementary unit: (a) the formation of disulfide-linked H-L heterodimers and (b) the formation of the three-component protein complex in which the noncovalent...
... dependencies are factored in a TAG This is in contrast t o transformational grammars (TC) where recursion is defined i n the base and the transformations essentially carry out the checking of the dependencies ... with the "transforms" of these sentences We could , of course, provide rules for obtaining the trees in I from a given subset of I These rules achieve the effect of conventional transformational ... the effect of conventional transformational rules, however, these rules can be formulated not as the usual transformational rules but directly as tree rewriting rules, since both the domains...
... poormouthing, an activity that was elevated to an art form by the lisping genius and former Notre Dame head coach Lou Holtz, who is known by some of his former players as Loucifer We have the utmost ... you’re wondering, around now, if they ever win Surely there is a price to be paid for this nonconformity? Surely the Johnnies are pushovers on the field? Gagliardi has led his teams to three national ... written about players involved in domestic disputes, paternity suits, drugs (recreational and performance enhancing); after nodding intently one week as a player explained to me that his good fortune...
... r a t e d c o m p l e x as a whole It is w ~ t h r ~ s p e c t to this s e c o n d k i n d of information, about which of the elements vary, that iteratives and distributives differ In i t e r ... quantifier phrase• In the sense Fillmorean I vl T h e s i m i l a r i t i e s b e t w e e n the informal proposal w h i c h has just b e e n s k e t c h e d a n d Lewis°s (1975) account of temporal ... relations and, in conjunction with other grammatical features of the clause, t h e y provide information about which of these elements remain constant across such i n s t a n t i a t i o n s...
... quasi-nonexpansive mappings, in a uniformly convex and uniformly smooth Banach space Theorem 3.1 Let C be a nonempty closed and convex subset of a uniformly convex and uniformly smooth Banach space E ... Alber [23] introduced and studied the generalized projections from Hilbert spaces to uniformly convex and uniformly smooth Banach spaces Moreover, Alber [17] presented some applications of the generalized ... in Banach spaces In 2005, Li [22] extended the generalized projection operator from uniformly convex and uniformly smooth Banach spaces to reflexive Banach spaces and studied some properties of...
... quasi-nonexpansive mappings, in a uniformly convex and uniformly smooth Banach space Theorem 3.1 Let C be a nonempty closed and convex subset of a uniformly convex and uniformly smooth Banach space E ... Alber [23] introduced and studied the generalized projections from Hilbert spaces to uniformly convex and uniformly smooth Banach spaces Moreover, Alber [17] presented some applications of the generalized ... in Banach spaces In 2005, Li [22] extended the generalized projection operator from uniformly convex and uniformly smooth Banach spaces to reflexive Banach spaces and studied some properties of...
... Exchange external fixation performed with LCP contoured to facilitate soft tissue coverage c - Postoperative radiograph of LCP external fixation fixator was performed on admission After 72 hours, ... twisted to facilitate soft tissue coverage b - A stack of folded towels functions as a spacer of uniform thickness c - The spacer is secured to limb with elastic bandage The most proximal and distal ... Paoli, PA) plate was applied as an external fixator (Figs 2a &2b) Delayed primary closure was performed for both fasciotomy wounds He progressed to full weightbearing at four months Eight months...
... Alber [23] introduced and studied the generalized projections from Hilbert spaces to uniformly convex and uniformly smooth Banach spaces Moreover, Alber [17] presented some applications of the generalized ... in Banach spaces In 2005, Li [22] extended the generalized projection operator from uniformly convex and uniformly smooth Banach spaces to reflexive Banach spaces and studied some properties of ... (1.14) from Hilbert spaces have recently been made By using available properties on a uniformly convex and uniformly smooth Banach space, Matsushita and Takahashi [35] proposed the following hybrid...
... for an inverse-strongly monotone mapping in a uniformly convex and 2-uniformly smooth Banach space Theorem 3.1 Let E be a uniformly convex and 2-uniformly smooth Banach space with the smooth constant ... is denoted by j Typical examples of both uniformly convex and uniformly smooth Banach spaces are Lp , where p > More precisely, Lp is min{p, 2}uniformly smooth for every p > Let T be a mapping ... a function It is known that E is uniformly smooth if and only if limτ → ρ τ /τ Let q be a fixed real number with < q ≤ A Banach space E is said to be q-uniformly smooth if there exists a constant...
... order complex of a poset P The formula is due to Bj¨rner & Walker [3] for G = and can be found in [18] in the o general case Lemma 2.3 [3] (Homotopy Complementation Formula) Let L be a (finite) lattice ... some vector of complex numbers dH Then we denote by ωξ the differential form ξH · , where H is identified with a H H∈A linear form defining H Proposition 5.2 Let ≤ s, n Let ξ = (ξH )H∈Acol,s be some ... 1])), x∈Co(a) where G permutes the spaces in the wedge according to the action of G on L In the formulation of the lemma we denote by “inf” the infimum operation in L and by “sup” the supremum...
... (3.25) consists of factors of the form (x + y + a) = (2x + m + a) with integral a Some of these factors cancel with the denominator, but all factors of the form (2x + 2b + 1), with integral b, ... Before, in Lemma 7, we collect information about the polynomial factor P4 (x, y; n) in the factorization (4.2) of E(x, y; n) The proof of Theorem then combines this information with the evaluation ... in [9]) provided one is able to prove a certain identity featuring three double summations Transformation of the Conjecture into a determinant evaluation problem In Theorem below we show that...
... subword of any subword of the form x[j 2j] for any j ≥ Similarly, x[2 4] = 201 is not a subword of any subword of the form x[j 2j] for any j ≥ Now consider subwords of the form t := x[i 2i] and t := ... only in the positions given by fi for i ≥ First we claim that if i ≥ 3, then any subword of the form x[i 2i] contains exactly two 0’s This is easily verified for i = If · 2n − ≤ i < · 2n − and ... may shorten the tree by assuming, without loss of generality, that the root is labeled When we perform this procedure, we obtain a tree with 92 leaves, whose longest label is of length 14 The following...
... the same permutation if ω can be transformed into ω by a sequence of the electronic journal of combinatorics (2001), #R10 transformations (moves) of the form i, i ←→ ∅ i, j ←→ j, i |i − j| ≥ ... In recent work Fomin and Kirillov [5] found an amazing generalization of Stanley’s formula which includes a formula of Macdonald as a second special case The main purpose of this paper is to ... of staircase shape s = {n − 1, n − 2, , 1} Evaluating fs with the hook-formula yields n ! | Red(w0 ) | = (2n − 3) · (2n − 5)2 · (2n − 7)3 · · 5n−3 · 3n−2 Originating...
... modified radical mastectomy with dissection of level I and level II lymph nodes was performed A right mastopexy was performed for purposes of symmetry An elliptical incision encompassing the entire mass ... ducts were surrounded by a uniform, bland stroma in this tumor, which measured 30.0 × 25.0 × 20.0 Case vivo Case 1: A) Large, simple ducts were surrounded by a uniform, bland stroma in this tumor, ... breast reconstruction can be performed at the time of mastectomy for phyllodes tumors [14] Mandel et al reported a case in which subcutaneous mastectomy was performed for a large phyllodes tumor,...