Search results for " Geometry."

Crystal structure and Hirshfeld surface analysis of (Z)-4-chloro-N′-(4-oxothiazolidin-2-ylidene)benzenesulfonohydrazide monohydrate

2018

The asymmetric unit of the title thiazole derivative containing a sulfonylhydrazinic moiety, C9H8ClN3O3S2·H2O, consists of two independent molecules and two water molecules. The central parts of the molecules are twisted as both the molecules are bent at both the S and N atoms. In the crystal, N—H...N, N—H...O, C—H...O and O—H...O hydrogen-bonding interactions connect the molecules, forming layers parallel to the ab plane. Two-dimensional fingerprint plots associated with the Hirshfeld surface show that the largest contributions to the crystal packing come from O...H/H...O (32.9%) and H...H (22.6%) interactions.

A survey on algebraic dilatations

2023

In this text, we wish to provide the reader with a short guide to recent works on the theory of dilatations in Commutative Algebra and Algebraic Geometry. These works fall naturally into two categories: one emphasises foundational and theoretical aspects and the other applications to existing theories.

The Equiangular Compass

2012

Læringspotensial i en digital interaktiv matematikkundervisning : en analyse av læringspotensialet i geometriundervisningen på 8. trinn med utstrakt …

2016

Masteroppgave matematikkdidaktikk – Universitetet i Agder 2016 The theme of this master thesis is learning potential in mathematical tasks designed for geometry teaching in GeoGebra in 8th grade. This thesis is written in connection to the project Digital interactive mathematics teaching (DIM), where the goal is to create innovative mathematics teaching by using digital tools in a pedagogic context. Previous research has documented that students learning outcome of the teaching is largely influenced and limited by the tasks that are given. In this context analysis of the tasks learning potential is particular interesting. Therefore, my research question is: What learning potential is it in …

Teaching and Learning of Geometry as a process of Objectification: conditions and obstacles to argumentation and proof. The role of natural language,…

2021

This paper examines some examples (taken from research conducted over the years) that show students’ linguistic attitudes in geometry tasks. The examples are framed within the Theory of Objectification with reference to the notion of sensuous cognition, semiotic means of objectification and levels of generality. We show the struggle students live, at higher levels of generality, in intertwining natural language, specific language and the spontaneous use of geometrical figures, bound to perception and kinaesthetic activity. Within the networking paradigm, we coordinate the Theory of Objectification and Duval’s semio-cognitive approach to frame the interplay between the ideal and the material…

Structure and dynamics in liquid bismuth and Bin clusters: A density functional study

2014

Density functional/molecular dynamics simulations with more than 500 atoms have been performed on liquid bismuth at 573, 773, 923, and 1023 K and on neutral Bi clusters with up to 14 atoms. There are similar structural patterns (coordination numbers, bond angles, and ring patterns) in the liquid and the clusters, with significant differences from the rhombohedral crystalline form. We study the details of the structure (structure factor, pair, and cavity distribution functions) and dynamical properties (vibration frequencies, diffusion constants, power spectra), and compare with experimental results where available. While the three short covalent bonds typical to pnictogens are characteristi…

Relationship between volume and energy of vector fields

2001

Abstract A unified study of energy and volume functionals is presented here by determining the critical points of a functional that extends simultaneously energy and volume and that is defined on the product of the manifold of smooth maps C∞(M,N) times the manifold M of riemannian metrics on M. The restriction of this functional to different submanifolds of the space of vector fields X (M)× M is also considered, and used to study several functionals generalizing volume and energy or total bending of vector fields

Алгебра и дискретная математика

1986

Сборник содержит результаты исследований по теоретической кибернетике и алгебре, предназначен для научных работников и аспирантов, работающих в области алгебры и теории автоматов. Часть работ связана с приложениями алгебры.

Алгебра и дискретная математика: прикладные вопросы информатики

1989

Сборник содержит результаты исследований в области информатики, прикладной алгебры и дискретной математики.

Высшая математика

1920

Teksta litogrāfija, matemātiskās formulas rakstītas ar roku.