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A set of n unit vectors \(\{f_j\}\) in \({\mathbb {F}^d}\) is said to define a set of equiangular lines if the angles between the subspaces (lines) they determine are equal, i.e., \(\exists C\ge 0\) with \( |\langle f_j, f_k\rangle | = C, \quad \forall j\ne k.\)

Ð’ данной работе проведена дифференциация понятий и выявление Ñ‚Ð¾Ñ‡Ð½Ñ‹Ñ Ð¾Ð¿Ñ€ÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ð¹ для терминов, ÐºÐ°ÑÐ°ÑŽÑ‰Ð¸Ñ ÑÑ терроризма на планете, а также проведена работа с людьми, которые обучаются в общеобразовательном учреждении. Рассмотрена и изучена существующая система противодействия и разработана методика определения типа вероятной угрозы. In this paper, a differentiation of concepts and the identification of precise definitions for terms relating to terrorism on the planet has been carried out, and work has been carried out with people who study in a general education institution. The existing system of counteraction was reviewed and studied and a method for determining the type of probable threat was developed.

Methodologies to model the impact of ramp metering queues on diamond interchange operations were developed in this study. The methodologies are part of an overall research effort to address the integrated operations of a diamond interchange and a ramp metering system. The methodologies were implemented in DRIVE, a computer model characterized as a mesoscopic simulation and analytical model. A meso-scopic model has the advantages of both macroscopic and microscopic models with less computing time while still considering stochastic traffic flows. DRIVE can be used to perform system analysis and evaluation of an integrated diamond interchange and ramp metering system over multiple cycles. The component concerning the diamond interchange operations is documented here, with a particular focus on the impact of potential queue spillback to the diamond interchange signals from ramp metering. The study focused on the two common diamond phasing schemes: basic three-phase and Texas Transportation Institute (TTI) four-phase. DRIVE was validated against the VISSIM microscopic traffic simulation model, and general agreement was found in the results between the two models. For oversaturated ramp conditions with queue spillback, both DRIVE and VISSIM indicated that TTI four-phase favors the frontage road approach, whereas the basic three-phase favors the arterial left-turn movement. DRIVE provides a new analysis tool for analyzing diamond interchange operations taking ramp metering into consideration, which would facilitate studies on developing operational strategies to better manage such systems.

Dynamic Line Rating (DLR) techniques have been greatly worthy of notice for efficiently increasing transmission capacity as well as controlling load-flow in overhead transmission lines, in comparison with the existing power system operating with Static Line Rating (SLR). This paper describes an utilization method to implement DLR control system for old transmission lines built in the first stage using the ground clearance design standard with lower dips. The suggested DLR system is focused on designing as temperature control system rather than current/load control system. Based on several performance for conductor temperatures, it is shown that DLR system with efficiency can be implemented.