Search results for "Rational number"
showing 10 items of 31 documents
Restriction of odd degree characters and natural correspondences
2016
Let $q$ be an odd prime power, $n > 1$, and let $P$ denote a maximal parabolic subgroup of $GL_n(q)$ with Levi subgroup $GL_{n-1}(q) \times GL_1(q)$. We restrict the odd-degree irreducible characters of $GL_n(q)$ to $P$ to discover a natural correspondence of characters, both for $GL_n(q)$ and $SL_n(q)$. A similar result is established for certain finite groups with self-normalizing Sylow $p$-subgroups. We also construct a canonical bijection between the odd-degree irreducible characters of $S_n$ and those of $M$, where $M$ is any maximal subgroup of $S_n$ of odd index; as well as between the odd-degree irreducible characters of $G = GL_n(q)$ or $GU_n(q)$ with $q$ odd and those of $N_{G}…
A Note on Algebraic Sums of Subsets of the Real Line
2002
AbstractWe investigate the algebraic sums of sets for a large class of invari-ant ˙-ideals and ˙- elds of subsets of the real line. We give a simpleexample of two Borel subsets of the real line such that its algebraicsum is not a Borel set. Next we show a similar result to Proposition 2from A. Kharazishvili paper [4]. Our results are obtained for ideals withcoanalytical bases. 1 Introduction We shall work in ZFC set theory. By !we denote natural numbers. By 4wedenote the symmetric di erence of sets. The cardinality of a set Xwe denoteby jXj. By R we denote the real line and by Q we denote rational numbers. IfAand Bare subsets of R n and b2R , then A+B= fa+b: a2A^b2Bgand A+ b= A+ fbg. Simila…
Anti-Speciesist Rhetoric
2017
The various laws protecting animals that were established in Nazi Germany (but for the most part were never put into effect) had, among others, the aim of marking the taxonomic and ontological distance between pure animals and impure sub-humans (Jews, homosexuals, the Roma). The attention to and respect for the alpha predator and noble animals was a vertiginous ignoratio elenchi of the concentration camps. With analogous fallacy, today’s anti-human and anti-speciesist eco-fascism, which regularly makes use of the reductio ad Hitlerum (“meat-eaters = Nazis”), avails itself in an irrational and populist way of the rudimentary argumentum ad personam typical of xenophobic and racist propaganda.…
Effects of Behavioural Factors on Human Financial Decisions
2014
Abstract In this article, we investigate the factors that may explain the trading volume evolution on two emerging capital markets, Romania and Brazil. We analyze the impact of both investors who ground their trading behaviour on rational expectations and investors who show psychological and emotional facets of the human decision, which we call behavioural errors, as independent variables on the trading volume as dependent variable. The results indicate that trading is influenced by the investors’ irrational behaviour. Thus, the rationality hypothesis can be rejected for both capital markets.
From the theory of “congeneric surd equations” to “Segre's bicomplex numbers”
2015
We will study the historical pathway of the emergence of Tessarines or Bicomplex numbers, from their origin as "imaginary" solutions of irrational equations, to their insertion in the context of study of the algebras of hypercomplex numbers.
From Thinking to Raging: Reflexes of Indo-European *men- Polysemy in Homer
2020
This paper aims at investigating the semantic value of the verb μαίνομαι “to rage, to be furious” in Homeric Greek, in order to clarify the striking semantic relationship between the common ‘irrational’ meaning of the verb and the original ‘rational’ meaning of the Indo-European root *men- “to think”, to which the verb traces back. The corresponding words for μαίνομαι in other Indo-European languages (e.g. OInd. mányatē; Av. mainyeite; OIr. (do)moiniur; OCS mъnjo; Lit. miniu) can be translated as “to think”, thus showing an opposite meaning. From a textual analysis of all the occurrences of μαίνομαι in the Iliad and the Odyssey, the study aims at finding semantic traces of the original mean…
Hibridisme i autoreferència en el fantàstic d'Espiral, de Manuel Baixauli
2018
The aim of this paper is to define and to analyse the fantastic universe of short stories by Manuel Baixauli published in the volume Espiral (2010), an original and highly significant example of modern fantastic literature that has abolished the real and imaginary borders, that is to say a significant example of fantastic literature conceived as a language phenomenon. The conception of reality integrates and naturalises the supernatural and the irrational in a vision that joins multiple dimensions and perspectives of reality. The self-referential component is also of essential importance in this fantastic, which assimilates and exhibits themes and motifs of inherited traditions in a fully c…
The Stochastic Limit of the Fröhlich Hamiltonian: Relations with the Quantum Hall Effect
2003
We propose a model of an approximatively two-dimensional electron gas in a uniform electric and magnetic field and interacting with a positive background through the Fröhlich Hamiltonian. We consider the stochastic limit of this model and we find the quantum Langevin equation and the generator of the master equation. This allows us to calculate the explicit form of the conductivity and the resistivity tensors and to deduce a fine tuning condition (FTC) between the electric and the magnetic fields. This condition shows that the x-component of the current is zero unless a certain quotient, involving the physical parameters, takes values in a finite set of physically meaningful rational number…
Le jeu du meme et de l'autre : "Le Horla" de Guy de Maupassant, un récit "dédoublé" en deux versions
2015
The Horla , written twice, is considered as a masterpiece of a short horror story. Its two versions are still objects of critics’ arguments : some of them see in the second text an amplified and revised version of the first one, whereas others consider the two texts as two separate stories. The paper tries to consider the two Horlas as two complementary parts of the same story ; the first is told by a completely ‘normal’ person who has asked to live in a lunatic asylum, and the second, full of striking, strong emotions, is given by someone who gives up more and more to mental troubles caused by his fear of the unknown, the unnamed, the invisible. Considered in this way, the texts of the two…
Words with the Maximum Number of Abelian Squares
2015
An abelian square is the concatenation of two words that are anagrams of one another. A word of length n can contain \(\varTheta (n^2)\) distinct factors that are abelian squares. We study infinite words such that the number of abelian square factors of length n grows quadratically with n.