Chrysotile asbestos ― raw materials of the construction industry from deep quarries

A ladle belt conveyor with increased traction ability is proposed at the request of Kostanay Minerals JSC. A geometric diagram of the conveyor route for cyclic-flow technology with the transportation of rock mass steeply falling conveyors in the contours of the quarry of the first stage of the Dzhetygara chrysotile deposit is given. The calculation of the geometric dimensions of individual sections of the conveyor is performed. The parameters of the transported material, the route and the bucket belt conveyor itself are determined.

Diagrammatic Reasoning from Reflections on Peircean Semiotics

The document illustrates some elements of reflection on Peirce's semiotics focused on reasoning through diagrams. The solution of a Euclidean geometry problem is taken as a reference in which mathematical diagrams are recognized as epistemological tools in the learning and teaching of geometry. This is how an interpreter, who systematically observes and experiments with a geometric diagram, generates different interpretants by means of abductive, inductive and deductive reasoning.

Geometry Students’ Arguments About a 1-Point Perspective Drawing

The practice of formulating and justifying claims is a fundamental aspect of doing mathematics, and in geometry, students’ use of diagrams is integral to how they establish arguments. We applied Toulmin’s model to examine 23 geometry students’ arguments about figures included in a 1-point perspective drawing. We asked how students’ arguments drew upon their knowledge of 1-point perspective and their use of the diagram provided with the problem. Students warranted their claims based upon their knowledge of perspective, both in an artistic context as well as from experiences in everyday life. Students engaged in multiple apprehensions of the diagram, including using the given features, adding features, or measuring components, to justify claims about the figures. This study illustrates the importance of students’ prior knowledge of a context for formulating arguments, as well as how that prior knowledge is integrated with students’ use of a geometric diagram.

Mobile Device Passive Localization Based on IEEE 802.11 Probe Request Frames

This paper presents a novel passive mobile device localization mode based on IEEE 802.11 Probe Request frames. In this approach, the listener can discover mobile devices by receiving the Probe Request frames and localize them on his walking path. The unique location of the mobile device is estimated on a geometric diagram and right-angled walking path. In model equations, site-related parameter, that is, path loss exponent, is eliminated to make the approach site-independent. To implement unique localization, the right-angled walking path is designed and the optimal location is estimated from the optional points. The performance of our method has been evaluated inside the room, outside the room, and in outdoor scenarios. Three kinds of walking paths, for example, horizontal, vertical, and slanted, are also tested.