Search results for "Irrational number"
showing 10 items of 17 documents
Hartmanis-Stearns Conjecture on Real Time and Transcendence
2012
Hartmanis-Stearns conjecture asserts that any number whose decimal expansion can be computed by a multitape Turing machine is either rational or transcendental. After half a century of active research by computer scientists and mathematicians the problem is still open but much more interesting than in 1965.
Decision Under Uncertainty: An Experimental View
2010
This work (experimental research) is based on Prospect theory, which was developed by D. Kahneman and A. Tversky in 1979. This is one the most quoted and best-documented point of view in economic psychology. First of all, it replaces, once again, the notion of utility with value. But value is defined in terms of gains and losses and this, according with an irrational human tendency to be less willing to gamble with profits than with losses. So, we discover the great importance of these assumptions in the field of risk individual decision-making. n experimental study was conducted to examine the influence of elaboration and the way in which alternatives are phased on decision. Subjects were …
«Widrige Winde»: Der Abbruch der schonischen Expedition aus der Sicht des preußischen Gesandten, des Freiherrn Friedrich Ernst von Cnyphausen
2017
There are two interpretations of Peter the Great’s motives for refusing to land on the Swedish island of Schonen in historiography: that the tsar feared unforeseen military risks and that he did not trust his allies, Denmark and Great Britain. In this article, the author attempts to analyse in a more detailed way the reasons and consequences for the mistrust in the Northern Alliance by looking at communications by Baron Friedrich Ernst von Cnyphausen, the Prussian ambassador in Copenhagen. It is shown that the Russophobic hysteria which grasped the Danish royal court in September 1716 looks completely irrational when we consider parallel attitudes in the Prussian court. Cnyphausen does not …
Resonance between Cantor sets
2007
Let $C_a$ be the central Cantor set obtained by removing a central interval of length $1-2a$ from the unit interval, and continuing this process inductively on each of the remaining two intervals. We prove that if $\log b/\log a$ is irrational, then \[ \dim(C_a+C_b) = \min(\dim(C_a) + \dim(C_b),1), \] where $\dim$ is Hausdorff dimension. More generally, given two self-similar sets $K,K'$ in $\RR$ and a scaling parameter $s>0$, if the dimension of the arithmetic sum $K+sK'$ is strictly smaller than $\dim(K)+\dim(K') \le 1$ (``geometric resonance''), then there exists $r<1$ such that all contraction ratios of the similitudes defining $K$ and $K'$ are powers of $r$ (``algebraic resonance…
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…
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…