On the Plane Geometry with Generalized Absolute Value Metric

Metric spaces are among the most important widely studied topics in mathematics. In recent years, Mathematicians began to investigate using other metrics different from Euclidean metric. These metrics also find their place computer age in addition to their importance in geometry. In this paper, we consider the plane geometry with the generalized absolute value metric and define trigonometric functions and norm and then give a plane tiling example for engineers underlying Schwarz's inequality in this plane

An impedance study of the adsorption of CuSO4 and SIBX on pyrrhotite samples of different provenances

The non-stoichiometric sulfide mineral pyrrhotite (Fe S), common to many nickel ore deposits, occurs in differing crystallographic forms and compositions. The processing of pyrrhotite from these ores through froth flotation is based on the surface properties of the sulfides and since pyrrhotite is a metallic conductor, it is of interest to characterise the surface properties of pyrrhotite with respect to its electrochemical state. In this study, a series of pyrrhotite samples derived from Canada, South Africa, and Botswana whose mineralogy is well characterised, were used for electrochemical impedance spectroscopy (EIS). The behaviour of the different pyrrhotite samples were compared in terms of the effect of pH (7 and 10), collector addition (SIBX) and copper activation and the results correlated with microflotation tests. The EIS results were then used to interpret and understand the differences in flotation performance of the pyrrhotite samples under the different reagent conditions and provide some answers as to why the success of copper activation on pyrrhotite is so variable

Generalized Veronesean embeddings of projective spaces, part II: the lax case

We classify all embeddings theta : PG(n,K) -> PG(d, F), with d >= n(n+3)/2 and K, F skew fields with vertical bar K vertical bar > 2, such that 0 maps the set of points of each line of PG(n,K) to a set of coplanar points of PG(d, F), and such that the image of theta generates PG(d, F). It turns out that d = 1/2n(n + 3) and all examples "essentially" arise from a similar "full" embedding theta' : PG(n, K) -> PG(d,K) by identifying K with subfields of IF and embedding PG(d, K) into PG(d, F) by several ordinary field extensions. These "full" embeddings satisfy one more property and are classified in [5]. They relate to the quadric Veronesean of PG(n, K) in PG(d, K) and its projections from subspaces of PG(d, K) generated by sub-Veroneseans (the point sets corresponding to subspaces of PG(n,K)), if K is commutative, and to a degenerate analogue of this, if K is noncommutative

International Mining Congress and Exhibition of Turkey-IMCET

ABSTRACT: Several different reagents have been used in flotation process all around the world. Flotation response of minerals could be changed not only by the type of reagents used in the plant but by the addition points of these reagents also. Therefore, it is important to determine the most appropriate reagent addition points in the flotation plant in order to obtain the best metallurgical results. In this study, flotation tests were performed in order to determine the effects of reagent addition points and aeration on the flotation behaviour of sulphide minerals. Collector and lime were added together or separately before grinding or after grinding at the flotation tests. Moreover, flotation pulp was aerated in two tests in order to determine the effect of aera tion. It was found that the pulp potential changed significantly as the collector and/or lime addition points were changed. Also, the flotation behaviour of ehalcopyrite, pyrite and sphalerite was affected by the changes in the reagent addition points and aeration. Not only the copper grade and recovery of Cu rougher concentrate were affected but also chalcopyrite-sphalerite and chalcopyrite-pyrite selectivity was considerably affected. It was concluded that both reagent addition points and aeration affected the flotation behaviour of sulphide minerals in different ways. Hence, the selection of reagent addition points in a flotation plant was very im portant that it affects the recovery and the selectivity in the flotation of sulphide minerals. The subject has to be studied in detail in order to obtain the best results in the plant