Introduction: Quadrangle geological maps from Mariner 10 data cover 45% [1] of the surface of Mercury at 1:5M scale, e.g. [2],[3]. Orbital MESSENGER data, which cover the entire planetary surface, can now be used to produce finer scale geological maps, including regions unseen by Mariner 10. Hokusai quadrangle (0–90° E; 22.5–66° N) is in the hemisphere unmapped by Mariner 10. It contains promin...

We report an all-optical radio-frequency (RF) spectrum analyzer with a bandwidth greater than 5 THz, based on 50 cm long spiral waveguide in CMOS-compatible high-index doped silica platform. By carefully mapping out the dispersion profile of waveguides for different thicknesses, we identify optimal design to achieve near-zero C-band. To demonstrate capability RF analyzer, measure optical output...

The automatic creation of man-made 3D objects is an active area in computer graphics. Computer-assisted mixing and blending of components or subcomponents from existing example shapes can help users quickly produce interesting and creative designs. A key factor for automating this task is using algorithms that can match compatible parts between objects of different shape and structure. However,...

in this work‎, ‎we formulate chatterjea contractions using graphs in metric spaces endowed with a graph ‎‎and‏ ‎‎‎‎investigate ‎the ‎existence‎ ‎of ‎fixed ‎points ‎for such mappings ‎under two different hypotheses‎. we also discuss the uniqueness of the fixed point. the given result is a generalization of chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.

in this work‎, ‎we formulate chatterjea contractions using graphs in metric spaces endowed with a graph ‎‎and‏ ‎‎‎‎investigate ‎the ‎existence‎ ‎of ‎fixed ‎points ‎for such mappings ‎under two different hypotheses‎. we also discuss the uniqueness of the fixed point. the given result is a generalization of chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a g...

recently, zhang and song [q. zhang, y. song, fixed point theory forgeneralized $varphi$-weak contractions,appl. math. lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. in this paper, we prove a common fixed point theorem fora family of compatible maps. in fact, a new generalization of zhangand song's theorem is given.

Abstract We study pre-Lie pairs, by which we mean a pair of homotopy Lie algebra and with compatible action. Such pairs provide wealth algebraic structure, in particular can be used to analyze the part pair. Our main application motivation for this development are dg algebras hairy graphs computing rational groups mapping spaces little disks operads. show that twisting certain Maurer–Cartan ele...

Real-Time terrain visualization plays an important rule in multiple popular applications like geographical information systems, computer games, or civil or militar simulators, where hardware tessellation has become a de-facto standard nowadays in the graphic pipeline. Also, post-processing techniques enhance the appearance of the rendered image by applying changes at the pixel level using the f...

Comprehensive sequence-function mapping involves detailing the fitness contribution of every possible single mutation to a gene by comparing the abundance of each library variant before and after selection for the phenotype of interest. Deep sequencing of library DNA allows frequency reconstruction for tens of thousands of variants in a single experiment, yet short read lengths of current seque...

Genetic mapping methods typically rely upon genotyping many individuals in a mapping population. In contrast, bulk segregant analysis looks for biases in genotype in phenotyped pools of segregants. For relatively strong and genetically simple traits, it can be a fast, inexpensive approach. Although it is technically possible to use many genotyping platforms, microarray-based methods are conveni...