Note On Certain Inequalities for Neuman Means

In this paper, we give the explicit formulas for the Neuman means $N_{AH}$, $N_{HA}$, $N_{AC}$ and $N_{CA}$, and present the best possible upper and lower bounds for theses means in terms of the combinations of harmonic mean $H$, arithmetic mean $A$ and contraharmonic mean $C$.Comment: 9 page

Direct Counting Analysis on Network Generated by Discrete Dynamics

A detail study on the In-degree Distribution (ID) of Cellular Automata is obtained by exact enumeration. The results indicate large deviation from multiscaling and classification according to ID are discussed. We further augment the transfer matrix as such the distributions for more complicated rules are obtained. Dependence of In-degree Distribution on the lattice size have also been found for some rules including R50 and R77.Comment: 8 pages, 11 figure

Chapter V: Verbs

This monograph is a translation of two seminal works on corpus-based studies of Mandarin Chinese words and parts of speech. The original books were published as two pioneering technical reports by Chinese Knowledge and Information Processing group (CKIP) at Academia Sinica in 1993 and 1996, respectively. Since then, the standard and PoS tagset proposed in the CKIP report have become the de facto standard in Chinese corpora and computational linguistics, in particular in the context of traditional Chinese texts. This new translation represents and develops the principles and theories originating from these pioneering works. The results can be applied to numerous fields; Chinese syntax and semantics, lexicography, machine translation and other language engineering bound applications

Chapter T: Particles

This monograph is a translation of two seminal works on corpus-based studies of Mandarin Chinese words and parts of speech. The original books were published as two pioneering technical reports by Chinese Knowledge and Information Processing group (CKIP) at Academia Sinica in 1993 and 1996, respectively. Since then, the standard and PoS tagset proposed in the CKIP report have become the de facto standard in Chinese corpora and computational linguistics, in particular in the context of traditional Chinese texts. This new translation represents and develops the principles and theories originating from these pioneering works. The results can be applied to numerous fields; Chinese syntax and semantics, lexicography, machine translation and other language engineering bound applications

Chapter N: Content Words

This monograph is a translation of two seminal works on corpus-based studies of Mandarin Chinese words and parts of speech. The original books were published as two pioneering technical reports by Chinese Knowledge and Information Processing group (CKIP) at Academia Sinica in 1993 and 1996, respectively. Since then, the standard and PoS tagset proposed in the CKIP report have become the de facto standard in Chinese corpora and computational linguistics, in particular in the context of traditional Chinese texts. This new translation represents and develops the principles and theories originating from these pioneering works. The results can be applied to numerous fields; Chinese syntax and semantics, lexicography, machine translation and other language engineering bound applications

Chapter P: Preposition

This monograph is a translation of two seminal works on corpus-based studies of Mandarin Chinese words and parts of speech. The original books were published as two pioneering technical reports by Chinese Knowledge and Information Processing group (CKIP) at Academia Sinica in 1993 and 1996, respectively. Since then, the standard and PoS tagset proposed in the CKIP report have become the de facto standard in Chinese corpora and computational linguistics, in particular in the context of traditional Chinese texts. This new translation represents and develops the principles and theories originating from these pioneering works. The results can be applied to numerous fields; Chinese syntax and semantics, lexicography, machine translation and other language engineering bound applications

Cellular Ability to Sense Spatial Gradients in the Presence of Multiple Competitive Ligands

Many eukaryotic and prokaryotic cells can exhibit remarkable sensing ability under small gradient of chemical compound. In this study, we approach this phenomenon by considering the contribution of multiple ligands to the chemical kinetics within Michaelis-Menten model. This work was inspired by the recent theoretical findings from Bo Hu et al. [Phys. Rev. Lett. 105, 048104 (2010)], our treatment with practical binding energies and chemical potential provides the results which are consistent with experimental observations.Comment: 5 pages, 4 figure

Spontaneous Generation of Vortex Array Beams from a Thin-Slice Solid-State Laser with Wide-Aperture Laser-Diode Pumping

We studied complex lasing pattern formations in a thin-slice solid-state laser with wide-aperture laser-diode end-pumping. Radial and rectangular vortex arrays were found to be formed in a controlled fashion with symmetric and asymmetric pump beam profiles, respectively. Most of these vortices exhibited single-frequency oscillations arising from a spontaneous process of transverse mode locking of nearly degenerate modes assisted by the laser nonlinearity. Single-frequency rectangular array beams consisting of a large number of vortices, e.g., closely packed 36 or 46 vortex pixels, were generated, originating from Ince-Gaussian modes excited by the asymmetric pumping.Comment: 16 pages, 4 figure