The components of rock-forming and accessory minerals of the upper mantle, transition zone and lower mantle rocks have been involved into the processes of diamond genesis. Through their dissolving in primary carbonate melts, the mantle minerals have turned into components of the parental silicate-(±oxide)carbonate-carbon melts-solutions for diamonds and co-crystallized paragenetic minerals. The...

Dynamic simulation meshes are successfully used in many scientific and engineering fields. We present simple and efficient algorithm for a fast extraction of the iso-surfaces from the data sets with dynamic mesh. Simulation mesh at each time step is preprocessed into a list of diamonds composed of the original mesh cells. The min / max values of all diamonds are stored in a Time-space Partition...

A class of diamond-shaped combinatorial structures is studied whose enumerating generating functions satisfy differential equations of the form f2 “ Gpfq, for some function G. In addition to their own interests and being natural extensions of increasing trees, the study of such DAG-structures was motivated by modelling executions of seriesparallel concurrent processes; they may also be used in ...

Materials inspired by nature comprise a running theme of modern science. Among the crystals that can be formed, diamond is perhaps most emblematic. In the conventional thinking, natural diamonds form only under high-pressure and high-temperature conditions. Here we show a new, natural form of diamond crystals of high quality that are epitaxial with their ruby substrate. Diamonds in rubies are r...

Attenuated total reflection Fourier transform infrared (ATR FT-IR) spectroscopy has been employed for characterization of faceted diamonds. ATR spectra of round brilliant cut natural diamonds of approximately 0.1 ct were observed with excellent spectral quality. The mirror-flat spectrum of the table facet enables a good contact to the ATR crystal with a minimal applied pressure. The observed AT...

We study the concept of jointness for guessing principles, such as ♦κ and various Laver diamonds. A family of guessing sequences is joint if the elements of any given sequence of targets may be simultaneously guessed by the members of the family. We show that, while equivalent in the case of ♦κ, joint Laver diamonds are nontrivial new objects. We give equiconsistency results for most of the lar...

A new model for the irreducible representations of sl3 is presented which is constructed over the integers. This model utilizes the combinatorial geometry of certain polytopes in three dimensional space which we call diamonds. These are not Gelfand-Tsetlin polytopes, but share some of their properties. Matrix coefficients are directly computable in terms of maximal ladders of edges of given dir...

The components of rock-forming and accessory minerals of the upper mantle, transition zone and lower mantle rocks have been involved into the processes of diamond genesis. Through their dissolving in primary carbonate melts, the mantle minerals have turned into components of the parental silicate-(±oxide)carbonate-carbon melts-solutions for diamonds and co-crystallized paragenetic minerals. The...

The components of rock-forming and accessory minerals of the upper mantle, transition zone and lower mantle rocks have been involved into the processes of diamond genesis. Through their dissolving in primary carbonate melts, the mantle minerals have turned into components of the parental silicate-(±oxide)carbonate-carbon melts-solutions for diamonds and co-crystallized paragenetic minerals. The...