Search results for "Geometria"

Saccheri vu par Corrado Segre en Italie et par Mansion et Bosmans en Belgique

2010

Brigaglia Aldo, Gaino Bruna, Radelet-de-Grave Patricia. Saccheri vu par Corrado Segre en Italie et par Mansion et Bosmans en Belgique. In: Bulletin de la Classe des sciences, tome 21, 2010. Le Père Henri Bosmans SJ (1852-1928) historien des mathématiques. pp. 83-104.

Descartesin liikkeen filosofia : tutkielma Descartesin mekaniikasta ja siihen liittyvästä metafysiikasta

2011

Tämä tutkielma käsittelee Descartesin fysiikkaa ja etenkin kappaleiden liikettä sekä siihen liittyvää metafysiikkaa. Erityistä huomiota saavat Descartesin käsitykset matematiikasta, havainnosta ja yleisestä tieteenfilosofiasta sekä etenkin matematiikan ja todellisuuden suhteesta ja ne pyritään liittämään Descartesin kokonaiskuvaan ajasta, avaruudesta ja geometriasta.

On one-dimensionality of metric measure spaces

2019

In this paper, we prove that a metric measure space which has at least one open set isometric to an interval, and for which the (possibly non-unique) optimal transport map exists from any absolutely continuous measure to an arbitrary measure, is a one-dimensional manifold (possibly with boundary). As an immediate corollary we obtain that if a metric measure space is a very strict $CD(K,N)$ -space or an essentially non-branching $MCP(K,N)$-space with some open set isometric to an interval, then it is a one-dimensional manifold. We also obtain the same conclusion for a metric measure space which has a point in which the Gromov-Hausdorff tangent is unique and isometric to the real line, and fo…

Existence of optimal transport maps in very strict CD(K,∞) -spaces

2018

We introduce a more restrictive version of the strict CD(K,∞) -condition, the so-called very strict CD(K,∞) -condition, and show the existence of optimal maps in very strict CD(K,∞) -spaces despite the possible lack of uniqueness of optimal plans. peerReviewed

Tapaustutkimus perusopetuksen neljännen luokan oppilaiden matemaattisesta ajattelusta

2006

Differentiaalimuodot ja niiden integrointi euklidisten avaruuksien alimonistoilla

2016

Differentiaalimuodot ovat oleellinen osa modernin matematiikan koneistoa. Niitä käytetään paitsi geometrian tutkimuksessa, myös teoreettisen fysiikan kentällä muun muassa elektrostatiikassa, mekaniikassa ja termodynamiikassa. Differentiaalimuodot elävät luonnollisesti sileillä monistoilla, jotka puolestaan esiintyvät kaikkialla, missä on tarve puhua siisteistä joukoista koordinaattien avulla. Tässä tutkielmassa tutustutaan differentiaalimuotojen perusteoriaan alkaen euklidisten avaruuksien alimonistoista. Tämän jälkeen määritellään monistojen tangentti- ja kotangenttiavaruudet, k-muotojen ulkoinen tulo, differentiaalimuotojen ulkoinen derivaatta sekä lopulta differentiaalimuodon integraali …

Quasi-Homogeneous Linear Systems on with Base Points of Multiplicity multiplicity 5

2003

In this paper we consider linear systems of ℙ2 with all but one of the base points of multiplicity 5. We give an explicit way to evaluate the dimensions of such systems

Impaired geometric properties of tibia in older women with hip fracture history.

2007

This study evaluated side-to-side differences in tibial mineral mass and geometry in women with previous hip fracture sustained on average 3.5 years earlier. Both tibial mineral mass and geometry were found to be reduced in the fractured leg. INTRODUCTION: The purpose of this study was to evaluate side-to-side differences in tibial mineral mass and geometry after hip fracture and to assess the determinants of such differences. METHODS: Thirty-eight 60- to 85-year-old women with a previous hip fracture and 22 same-aged control women without fractures participated in the study. Bone characteristics of the distal tibia and tibial shaft of both legs were assessed using pQCT in order to compare …

Growth and aging of proximal femoral bone - a study with women spanning three generations

2015

Abstract. Osteoporotic hip fracture is a serious clinical event associated with high morbidity and mortality. Understanding femoral growth patterns is important for promoting bone health in the young and preventing fractures in later life. In this study, growth patterns of areal bone mineral density (aBMD) and geometric properties of the proximal femur were measured by dual-energy X-ray absorptiometry (GE Lunar Prodigy, USA). They were studied in 251 girls from premenarche (11.2±0.7 yrs) to late adolescence (18.3±1.1 yrs), and compared to their premenopausal mothers (n=128, aged 44.9±4.1 yrs) and postmenopausal grandmothers (n=128, aged 70.0±6.3 yrs). Hip axis length (HAL) was the first to …

Developing Primary School Students’ Formal Geometric Definitions Knowledge by Connecting Origami and Technology

2019

In this paper, we present opportunities with the uses of origami and technology, in our case GeoGebra, in teaching formal geometric definitions for fifth-grade primary school students (11-12yrs). Applying origami in mathematical lessons is becoming to be recognized as a valuable tool for improving students’ mathematical knowledge. In previous studies, we developed origami and technology activities for high-school mathematics, but we wanted to explore if such approach would work in primary school as well. For this reason, we chose a flat origami model оf the crane and we used this model to introduce students to basic geometrical notions and definitions, such as points, lines, intersections o…