It is well known that the real spectrum of any commutative unital ring, and ℓ-spectrum Abelian lattice-ordered group with order-unit, are all completely normal spectral spaces. We complete existing list containments non-containments between associated spaces their subspaces, by proving following results: (1) Every can be embedded, as a subspace, into some ℓ-spectrum. (2) Not every an (3) A subs...

Assume Hin, Win and Cin denote the height, width and channel number of the input feature maps, respectively; Hout, Wout and Cout denote the height, width and channel number of the output feature maps, respectively; K is the side length of a square kernel. The forward pass of an And-layer, defined in Eq. (1), is of computational complexity O(KCinHoutWoutCout). For the backward pass, the complexi...

Jang et al. (1) report measurements of organic particulate matter (OPM) formed in the presence of acidic seed aerosols using both a flow reactor and a Teflon chamber and examine their data using two modeling approaches. The study is a continuation of work by Jang et al. (2) on whether acidity in atmospheric PM can promote the formation of OPM by “heterogeneous” reaction of a variety of relative...

It is found that the extra quantum constraints to the spinor components of the equal-time Wigner function given in a recent paper by Zhuang and Heinz should vanish identically. We point out here the origin of the error and give an interpretation of the result. However, the principal idea of obtaining a complete equal-time transport theory by energy averaging the covariant theory remains valid. ...

Introduction PW-Amberlite is a promising catalyst for limonene epoxidation with aqueous hydrogen peroxide and acetonitrile as solvent; limonene conversion and limonene epoxide selectivity higher than 80 % and 90 %, respectively, have been reported [1,2]. The mechanistic pathway proposed for limonene epoxidation on PW-Amberlite [3], includes the interaction of H2O2 with peroxophosphotungstate sp...

CHEMISTRY, BIOPHYSICS. For the article ‘‘Relationship of Leffler (Brønsted) values and protein folding values to position of transition-state structures on reaction coordinates,’’ by Alan R. Fersht, which appeared in issue 40, October 5, 2004, of Proc. Natl. Acad. Sci. USA (101, 14338–14342; first published September 21, 2004; 10.1073 pnas.0406091101), the author notes that Eqs. 5, 6, 8, and 9 ...

For the past several years we have been interested in the general problem of acyl group activation. Our initial studies were concerned primarily with the enzymatic mechanism of acetyl CoA formation.’, The results of these investigations demonstrated the existence of a new type of reaction in which the carboxyl group of acetate reacts with ATP and becomes linked to the phosphate of adenosine-5’p...

2 I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965), p. 80. 4It is terms of order zero in A, , such as in Eqs. {22) and (26), which are apparently incorrectly omitted from the treatment in Sec. IIIE of Ref. 8. D. Cutts, R. Stiening, C. %'iegand, and M. Deutsch, Phys. Rev. Letters 20, 955 (1968), expecially Fig. 1. The corresponding expression...

This paper studies the uniform and weak Lopatinski\u{\i} conditions associated to classical (Lax) shock fronts of arbitrary amplitude for compressible hyperelastic materials Hadamard type in several space dimensions. Thanks seminal works Majda (Mem. Amer. Math. Soc. 43 (1983), no. 281; Mem. 41 275) M\'etivier (Trans. 296 (1986), pp. 431-479; Comm. Partial Diff. Eqs. 15 (1990), 7, 983-1028), con...