Search results for " FORMS"
showing 10 items of 199 documents
Is there a link between fractal dimensions and other indicators of the built-up environment at a regional level
2008
International audience; Fractal dimension is used to measure the spatial arrangement (morphology) of built-up areas within a Nuts1 region (Wallonia, Belgium) and, more particularly, to test to what extent fractal dimension is related to some variables commonly used in urban economics/urban geography to characterise built environment, housings and residential choice (such as land price, housing rentals, history of urbanisation, type of housing). Special attention is put on the link with the perception of the built environment by households. A multivariate analysis concludes the paper. It is shown that fractal indices differ from other indicators and are very useful for characterising and und…
Whitney forms and their extensions
2021
Whitney forms are widely known as finite elements for differential forms. Whitney’s original definition yields first order functions on simplicial complexes, and a lot of research has been devoted to extending the definition to nonsimplicial cells and higher order functions. As a result, the term Whitney forms has become somewhat ambiguous in the literature. Our aim here is to clarify the concept of Whitney forms and explicitly explain their key properties. We discuss Whitney’s initial definition with more depth than usually, giving three equivalent ways to define Whitney forms. We give a comprehensive exposition of their main properties, including the proofs. Understanding of these propert…
Systematic implementation of higher order Whitney forms in methods based on discrete exterior calculus
2022
AbstractWe present a systematic way to implement higher order Whitney forms in numerical methods based on discrete exterior calculus. Given a simplicial mesh, we first refine the mesh into smaller simplices which can be used to define higher order Whitney forms. Cochains on this refined mesh can then be interpolated using higher order Whitney forms. Hence, when the refined mesh is used with methods based on discrete exterior calculus, the solution can be expressed as a higher order Whitney form. We present algorithms for the three required steps: refining the mesh, solving the coefficients of the interpolant, and evaluating the interpolant at a given point. With our algorithms, the order of…
The action of a compact Lie group on nilpotent Lie algebras of type {{n,2}}
2015
Abstract We classify finite-dimensional real nilpotent Lie algebras with 2-dimensional central commutator ideals admitting a Lie group of automorphisms isomorphic to SO 2 ( ℝ ) ${{\mathrm{SO}}_{2}(\mathbb{R})}$ . This is the first step to extend the class of nilpotent Lie algebras 𝔥 ${{\mathfrak{h}}}$ of type { n , 2 } ${\{n,2\}}$ to solvable Lie algebras in which 𝔥 ${{\mathfrak{h}}}$ has codimension one.
Odraczanie rodzicielstwa a ocena rodziny pochodzenia przez młodych dorosłych
2019
Researchers of both contemporary family problems and statistical data point many important changes in family life. Among these, a significant place is occupied by the emergence of alternative forms of family life and transformation in the area of parenting (Dolińska, 2014; Golombok, 2015; Kemkes-Grottenthaler, 2003; Kwak, 2014; Mynarska 2009). Over the past years, the number of postponements or resignations from parental tasks has been increasing (CBOS, 2013b; GUS, 2016). The purpose of this research was to explore the functioning of family of origin of spouses who did not undertake parental tasks. The study involved 210 people (105 women and 105 men) in early adulthood in legalized relatio…
A note on *-derivations of partial *-algebras
2012
A definition of *-derivation of partial *-algebra through a sufficient family of ips-forms is proposed.
Retirement Awareness as a Determinant of the Choice of Tools For Collecting Pension Capital
2018
The article deals with the problem of retirement awareness of adult citizens. Its purpose was to determine the level of this awareness and knowledge about the pension system, as well as to learn the motives of decisions related to the optional part of the pension system. In addition, the aim was to identify what voluntary forms of raising capital for the retirement are most often chosen, and which factors in particular make people to take action to secure their retirement future. The study established that the respondents negatively judge the effectiveness of the Polish pension system, do not have adequate knowledge about the functioning of the pension system and show little interest in add…
Motorisen oppimisen vaikeuden tunnistaminen ja tukeminen kouluympäristössä
2018
Motorisen oppimisen vaikeudella, kuten kehityksellisellä koordinaatiohäiriöllä (DCD), tarkoitetaan huomattavaa vaikeutta oppia uusia motorisia taitoja ja soveltaa jo opittuja taitoja uusiin tilanteisiin. Tämän tutkimuksen tarkoituksena oli kehittää opettajien käyttöön havainnointityökalu, joka auttaa tunnistamaan motorisen oppimisen vaikeuden esi- ja alkuopetusikäisillä lapsilla. Lisäksi tutkimus selvitti, miten opettajat voivat kouluympäristössä tukea lapsia, joilla on haasteita motorisessa oppimisessa. Tutkimus muodostui neljästä osatutkimuksesta. Ensimmäisessä tutkittiin systemaattisen kirjallisuuskatsauksen avulla maailmalla käytössä olevien havainnointilomakkeiden psykometrisiä ominais…
Diversity of Isomerization Patterns and Protolytic Forms in Aminocarbene PdII and PtII Complexes Formed upon Addition of N,N′-Diphenylguanidine to Me…
2017
Reaction of the palladium(II) and platinum(II) isocyanide complexes cis-[MCl2(CNR)2] [M = Pd, R = C6H3(2,6-Me2) (Xyl), 2-Cl-6-MeC6H3, cyclohexyl (Cy), t-Bu, C(Me)2CH2(Me)3 (1,1,3,3-tetramethylbuth-1-yl abbreviated as tmbu); M = Pt, R = Xyl, 2-Cl-6-MeC6H3, Cy, t-Bu, and tmbu] with N,N′-diphenylguanidine (DPG) leads to DPG-derived metal-bound deprotonated acyclic diaminocarbene (ADC) species. This reaction occurs via a two-step process, involving the initial coupling of the guanidine with one of the isocyanides and leading to deprotonated monocarbene monochelated species, while the next addition grants the deprotonated bis-carbene bis-chelated metal compounds. DPG behaves as nucleophile, depr…
Lebesgue-type decomposition for sesquilinear forms via differences
2022
Definitions of regularity and singularity are proposed for sesquilinear forms with respect to a non-negative one and a correspondent Lebesgue-type decomposition is proved. In contrast to other Lebesgue-type decompositions established in the literature for sesquilinear forms with generic sign, the underlying idea in this paper is to write symmetric forms as the difference of non-negative sesquilinear forms.