In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. This method is very simple in practice. Moreover, we construct explicitly the total order relation in the new field of the infinitesimal numbers. To illustrate the importance of this work, we suggest comparing  a few applications of this approach with the former methods.

the purpose of this study was to evaluate the efficacy of two types of bone substitutes, bio-oss and nuoss, for repair of bone defects.this study was performed on the calvaria of 14 new zealand rabbits. the 6mm critical size defect (csd) models of bone regeneration were used. three csds were created in each surgical site. the first defect was filled with nuoss, the second one with bio-oss and t...

The current specification and verification of surface texture in international standards are considered to be too theoretical, complex and over-elaborate for industry. A functional approach that completely expresses the complicated surface texture knowledge for designers and engineers is often nonexistent on the shop floor. Based on Geometrical Product Specification (GPS) philosophy, this paper...

introduction : preservation of bone volume immediately after tooth removal might be necessary to optimize the success of implant placement. the aim of this study was to compare bone dimensional changes following tooth extraction without bio-oss and with bio-oss and a collagen membrane in the dental socket. materials and methods: in this experimental interventional study, thirty subjects who req...

Recently, sustainable supply chain management (SSCM) has become one of the important subjects in the industry and academia. Supplier selection, as a strategic decision, plays a significant role in SSCM. Researchers use different multi-criteria decision making (MCDM) methods to evaluate and select sustainable suppliers. In the previous studies, evaluation is solely based on the desirable feature...

Information Extraction (IE) is a natural language processing (NLP) task whose aim is to analyse texts written in natural language to extract structured and useful information such as named entities and semantic relations between them. Information extraction is an important task in a diverse set of applications like bio-medical literature mining, customer care, community websites, personal infor...

We address the scarcity of datasets specifically tailored for legal NER in Russian language and investigate generalization capabilities models towards unseen named entities. A rule-based program developed by experts at Tag-Consulting Company was employed to automatically annotate texts create RuLegalNER dataset. Part entities only exists development test splits, they are training set. RuBERT ut...