Search results for "Equivalence"
showing 10 items of 301 documents
Equivalence classes of Dyck paths modulo some statistics
2015
International audience; We investigate new equivalence relations on the set $\mathcal{D}_n$ of Dyck paths relatively to the three statistics of double rises, peaks and valleys. Two Dyck paths ar $r$-equivalent (resp. $p$-equivalent and $v$-equivalent) whenever the positions of their double rises (res. peaks and valleys) are the same. Then, we provide generating functions for the numbers of $r$-, $p$- and $v$-equivalence classes of $\mathcal{D}_n$.
Equivalence classes of permutations modulo excedances
2014
International audience
Il principio di equivalenza delle condizioni
2018
Il principio di equivalenza delle condizioni sancito dall'art. 41 c.p. completa la ricezione da parte dell'ordinamento italiano del modello causale della condicio sine qua non. Tale principio conosce però il temperamento offerto dalla causa prevalente di cui all'art. 41, comma 2, c.p. grazie al quale le valutazioni squisitamente giuridiche riescono a prevale sulle risultanze dello stretto giudizio causale. Il saggio indaga il contenuto e i criteri di tale correzione del giudizio causale. The principle of equivalence of conditions enshrined in art. 41 c.p. completes the reception by the Italian Legal System of the causal model of the condicio sine qua non. However, this principle knows the t…
The body fables in Babrius, Fab. 134 and 1 Corinthians 12: Hierarchic or democratic leadership in crisis management?
2021
Body metaphors and body fables were frequently used in ancient discourse for social communities and politics. This article will examine a body fable by the Greek fabulist Babrius (Babrius, Fab . 134) that has been overlooked in research so far. It shows a remarkable similarity to 1 Corinthians 12 through the use of central terms such as σῶμα and μέλος or personified speaking body parts such as an eye and head. Even if no literary direct dependence is claimed, the text, which was written at about the same time as 1 Corinthians, sheds light on Paul’s understanding of the body fable. It becomes apparent, however, that the rhetorical function is fundamentally different in the two texts. Whilst …
Pattern languages with and without erasing
1994
The paper deals with the problems related to finding a pattern common to all words in a given set. We restrict our attention to patterns expressible by the use of variables ranging over words. Two essentially different cases result, depending on whether or not the empty word belongs to the range. We investigate equivalence and inclusion problems, patterns descriptive for a set, as well as some complexity issues. The inclusion problem between two pattern languages turns out to be of fundamental theoretical importance because many problems in the classical combinatorics of words can be reduced to it.
Adaptation of a German Multidimensional Networking Scale into English
2011
Networking refers to building and maintaining personal contacts in order to obtain resources that, in turn, enhance one’s career success and work performance. This study reports the translation and adaptation of a multifaceted German networking scale ( Wolff & Moser, 2006 ) into English and focuses on the equivalence of the two language versions. Going beyond the often used translation-backtranslation method, we used a parallel translation-backtranslation method in combination with two expert committees to arrive at the English scale version, aiming to obtain at least structural equivalence. We utilize a bilingual sample (N = 76) as well as monolingual samples from the US (N = 174) and…
Non linear viscoelasticity of polymeric liquids interpreted by means of a stress dependence of free volume
1977
Several existing data of non-linear viscoelasticity of amorphous polymers aboveT g are here interpreted by assuming that the free volume changes during the motion. Equations of a stress-temperature equivalence are suggested which favorably compare with the data. It is also shown that the volume variations are sufficiently small to have escaped observation.
Time–carbonyl groups equivalence in photo-oxidative aging of virgin/recycled polymer blends
2004
AbstractThe photo-oxidation behaviour of polymers is strongly dependent on the initial amount of carbonyl groups along the chains. The growing use of recycled post-consumer polymers coming from products used outdoors and then photo-oxidised, both pure and blended with the same virgin polymer, gives rise to an unpredictable behaviour of weathering resistance of products made with these materials. The present work shows that the carbonyl group–exposure time curves can be shifted along the time axis to give a single generalised master plot. It is then possible to predict the formation of the new carbonyl groups by knowing only the initial amount of the same carbonyl groups. The same shift fact…
Komunikacja transgraniczna straży pożarnej na polsko-czeskim pograniczu
2017
W pierwszej części artykułu autorka zwraca uwagę na specyficzne cechy komunikacji na pograniczu i podkreśla, że mamy tu do czynienia z dwiema wspólnotami komunikacyjnymi, odmiennymi pod względem kulturowym, narodowym i społecznym, które dążą do uzyskania porozumienia w akcie komunikacji. W akcie komunikacji transgranicznej wyróżniamy dwie sytuacje komunikacyjne: a) nagłego reagowania i b) improwizację akcji nagłego reagowania w celach dydaktycznych, w których barierami komunikacyjnymi są m.in.: nieznajomość języka i przeszkody dźwiękowe (hałas, praca maszyn itp.). Właściwe współdziałanie, czyli planowanie akcji gaśniczej i jej przeprowadzanie, wymaga pokonania barier w akcie komunikacji. Au…
Geometry and feedback classification of low-dimensional non-linear control systems
2006
The purpose of this thesis is the study of the local and global differential geometry of fully nonlinear smooth control systems on two-dimensional smooth manifolds. We are particularly interested in the feedback-invariants of such systems. In a first part we will use the Cartan's moving frame method in order to determine these invariants and we will see that one of the most important feedback-invariants is the control analogue to the Gaussian curvature of a surface. As we will explain it, the control curvature reveals very precious information on the optimal synthesis of time optimal problems. In a second part we will construct some microlocal normal forms for time optimal control systems a…