scholarly journals Generalization of the Harmonic Weighted Mean Via Pythagorean Invariance Identity and Application

2020 ◽  
Vol 34 (1) ◽  
pp. 104-122
Author(s):  
Peter Kahlig ◽  
Janusz Matkowski
Keyword(s):  
Open Problem ◽  
Functional Equations ◽  
Harmonic Mean ◽  
Weighted Mean ◽  
Geometric Means ◽  
The Real ◽  
Weighted Arithmetic ◽  
Real Functions ◽  
Pythagorean Harmony

AbstractUnder some simple conditions on the real functions f and g defined on an interval I ⊂ (0, ∞), the two-place functions Af (x, y) = f (x) + y − f (y) and {G_g}\left({x,y} \right) = {{g\left(x \right)} \over {g\left(y \right)}}y generalize, respectively, A and G, the classical weighted arithmetic and geometric means. In this note, basing on the invariance identity G ∘ (H, A) = G (equivalent to the Pythagorean harmony proportion), a suitable weighted extension Hf,g of the classical harmonic mean H is introduced. An open problem concerning the symmetry of Hf,g is proposed. As an application a method of effective solving of some functional equations involving means is presented.

scholarly journals POZITYVIOJI IR NEGATYVIOJI TIKROVĖS TEMATIZACIJA. ŠLIOGERIS IR BAUDRILLARD’AS

Problemos ◽  
2010 ◽  
Vol 78 ◽  
pp. 74-82
Author(s):  
Mantautas Ruzas ◽  
Marius P. Šaulauskas
Keyword(s):  
Ontological Argument ◽  
The Self ◽  
Direct Access ◽  
Conceptual System ◽  
Ontological Status ◽  
The Real ◽  
Real Functions ◽  
Metaphysical Principle

Straipsnis skirtas Arvydo Šliogerio filosofijos ontologinių nuostatų tyrimui, jame analizuojamos ir lyginamos Šliogerio ir Baudrillard’o tikrovės ontologinio statuso traktuotės. Šliogerio filosofijoje tikrovės ontologinis statusas tematizuojamas parodant ir tai, kas yra, ir tai, kas nėra tikrovė. Baudrillard’as tikrovės ontologinį statusą įvardija negatyviai tematizuodamas tik tai, kas nėra tikrovė. Šliogerio filosofija yra grindžiama paradoksalia ontologine prielaida, jog metadiskursyvinė tikrovė funkcionuoja kaip galutinis neredukuojamas referentas, kuris savo ruožtu traktuojamas kaip juslinė substancija (Esmas). Tačiau pati juslinė substancija, nors ir būdama pamatiniu principu, įgalinančiu prasmingumą, pati negali būti adekvačiai įvardyta ex definitio, nes ji iš principo esti neredukuojama į jokį prasminį darinį ir juo labiau į prasminę sistemą. Baudrillard’o filosofija grindžiama semiologiniu reduktyvizmu, t. y. prielaida, kad prasminės nuorodos į metadiskursyvinę tikrovę yra autoreferentiški simboliniai konstruktai (simuliakrai), todėl bet koks bandymas ir apčiuopti tikrovę, ir apibrėžti ją pozityviai tesukuria negatyvų efektą, t. y. spontanišką ir neišvengiamą kitų autoreferentiškų simbolinių konstruktų gamybą.Pagrindiniai žodžiai: Tikrovė, simuliakras, Baudrillard’as, Šliogeris, ontologija.Positive and Negative Thematization of Reality: Šliogeris and BaudrillardMantautas Ruzas, Marius P. Šaulauskas SummaryThe article aims to elucidate the dialectical nature of the most fundamental ontological tenets of Šliogerian philosophy while contrasting them to Baudrillard’s interpretation of the ontological status of the Real. In contrast to Šliogeris who thematizes the Real both in terms of what it is an what it is not, Baudrillard proceeds in a negative way only by showing what the Real is not. Šliogeris’ philosophy is based on a paradoxical ontological argument that the metadiscursive Real functions as the final non-reductive referent conceptualised as the ultimate perceptual substance (Isness). As an ultimate metaphysical principle, it serves as a core of experience, although it cannot be adequately described ex definitio or else somehow reduced to any meaningful counterpart of the conceptual system. Baudrillard’s philosophy, on the contrary, is based on the principle of semiological reductionism, i.e. on the premise that all meaningful links to metadiscursive reality follow the self-referential logic and therefore are merely interrelated symbolic constructions (simulacra) precluding any direct access to the Real and not only to its positive (cataphatic) articulation.Keywords: the Real, simulacrum, Baudrillard, Šliogeris, ontology.

scholarly journals Deminutywność, symilatywność i tautologia słowotwórcza w języku doby średniopolskiej (na materiale ze słownika M.A. Troca)

2021 ◽  
Vol LXXVII (77) ◽  
pp. 193-209
Author(s):  
MAREK KASZEWSKI
Keyword(s):  
Foreign Language ◽  
18Th Century ◽  
Word Formation ◽  
Input Language ◽  
The Real ◽  
Linguistic Awareness ◽  
Real Functions ◽  
Polish Language ◽  
High Level

W tekście podejmowana jest problematyka ograniczeń procesu kategoryzacji klas derywatów deminutywnych oraz symilatywnych w dobie średniopolskiej. Celem opracowania było wskazanie potencjalnych przyczyn blokowania procesów kategoryzacyjnych klas historycznych deminutywów oraz symilatywów. W zakresie metodologii i ustaleń terminologicznych wykorzystano osiągnięcia tzw. „katowickiej szkoły słowotwórstwa historycznego”. Głównym źródłem materiału leksykalnego stał się trójjęzyczny dykcjonarz M.A. Troca z 1764 roku (jego III tom, z polszczyzną jako językiem wyjściowym). Świadomość lingwistyczna autora tego słownika, przejawiająca się w sposobie organizacji wyrażeń hasłowych oraz doboru ekwiwalentów wraz z definicjami, rzuciła nowe światło na sposób identyfikowania kategorii deminutywów, symilatywów, a także formacji tautologicznych przez dawnych użytkowników języka. Okazało się, że w drugiej połowie XVIII wieku żadna z tych klas nie wykrystalizowała swoich dominant, zaś czynnikiem, który mógł podtrzymywać ten stan, była obecność w języku znacznej liczby derywatów tautologicznych względem podstawy, budowanych z udziałem wielofunkcyjnych formantów z podstawowymi sufiksalnymi spółgłoskami -k- i -c-. Diminutivity, similativity and word-formation tautology in Middle Polish (illustrated with data from M.A. Troc’s Dictionary) Summary: The text deals with the limitations of the categorization process of the classes of diminutive and similative derivatives in Middle Polish. The aim of the study was to identify the potential reasons for the blocking of the categorization processes of the historical classes of diminutives and similatives. The methodology and terminology used in the paper follows the achievements of the so-called “Katowice school of historical word-formation”. The 1764 trilingual dictionary by M.A. Troc (Volume 3, with Polish as the input language) was the main source of lexical material. Based on the analysis of the presented material, one can conclude that the linguistic awareness of the lexicographer, manifested through the organization of dictionary entries and the choice of foreign equivalents and their definitions, may shed a new light on the categorical system of historical derivatives. In lack of sufficient Polish-language contexts, the translational character of lexicographic sources lets us gain information about the semantic and stylistic value of Polish lexical units on the basis of their foreign equivalents or their foreign-language definitions provided by dictionaries. The category of diminutive names in the second half of the 18th century did not yet crystallize its dominants, and the class of similative names had a similar formal and semantic status. Both classes constituted products of sets that contained derivative units, assuming a diminishing or similative function. The factor that inhibited the process of the crystallization of the dominants in the mentioned classes was the extremely high level of word-formation tautology, which did not allow language users to identify the real functions of multifunctional formants with the basic consonants -k- and -c-.

Continuous Solutions of the Functional Equation fn(x) = f(x)

1953 ◽  
Vol 5 ◽  
pp. 101-103 ◽  
Author(s):  
G. M. Ewing ◽  
W. R. Utz
Keyword(s):  
Functional Equation ◽  
Real Axis ◽  
Continuous Solutions ◽  
The Real ◽  
Real Functions ◽  
Image Position

In this note the authors find all continuous real functions defined on the real axis and such that for an integer n > 2, and for each x,

scholarly journals Rankin-Selberg method for Siegel cusp forms

1990 ◽  
Vol 120 ◽  
pp. 35-49 ◽  
Author(s):  
Tadashi Yamazaki
Keyword(s):  
Holomorphic Function ◽  
Half Plane ◽  
Cusp Form ◽  
Functional Equations ◽  
Modular Group ◽  
Cusp Forms ◽  
The Real ◽  
Upper Half Plane ◽  
Siegel Cusp Form

Let Gn (resp. Γn) be the real symplectic (resp. Siegel modular) group of degree n. The Siegel cusp form is a holomorphic function on the Siegel upper half plane which satisfies functional equations relative to Γn and vanishes at the cusps.

scholarly journals Tabloidyzacja prasy opiniotwórczej na przykładzie artykułów publicystycznych w tygodniku „Wprost”

2016 ◽  
Vol 23 (2) ◽  
pp. 225-244
Author(s):  
Mateusz Kasiak
Keyword(s):  
The Real ◽  
Real Functions ◽  
Visual Structure ◽  
Opinion Journalism ◽  
Traditional Understanding

Article is focused on the problem of tabloidisation of contemporary opinion journalism. The author argues with traditional understanding of tabloid, showing as an example tabloidisation of weekly opinion. The aim of the article is to show how the tabloidisation in journalistic articles of weekly “Wprost” looks like. The phenomenom of tabloidisation is illustrated based on the analysis of articles describing Kamila Durczok. How the tabloidisation was achieved there? It is more than one way. Analyses of texts show a few methods. Both the choice of subject and the construction of text, visual structure and language of text determine the tabloidisation. Analyses show also the real functions of using tabloidisation in the weekly opinion.

scholarly journals UNIVERSITIES AS LEARNING ORGANIZATIONS IN THE DIGITAL WORLD

2020 ◽  
Vol 72 (4) ◽  
pp. 255-262
Author(s):  
М.А. Skiba ◽  
◽  
A.R. Turganbayeva ◽  
Keyword(s):  
Learning Organization ◽  
Learning Organizations ◽  
Stages Of Development ◽  
The Real ◽  
Digital World ◽  
Real Functions ◽  
The University

The article reveals the features of the development of universities as learning organizations operating in the digital world. The discrepancy between the formal understanding of the university, fixed in regulatory legal acts, and the real functions of a modern university is revealed. The analysis of the coincidence of the semantic series of the concepts "university" and "learning organization" is carried out. The teacher functions of a university, which is a learning organization, have been identified. Awareness by universities of the need for the preservation, accumulation and development of knowledge leads to the translation of non-formalized knowledge of individual employees into formalized descriptions and procedures. The stages of development of the university as a learning organization are proposed. It is concluded that not only the knowledge itself should be used within the university, but also knowledge about knowledge and the ability to manage it, in this case the university can be considered a learning organization.

A case study in authorship attribution: The Mondrigo1

2021 ◽  
pp. 1-8
Author(s):  
Gerardo Sierra ◽  
Tonatiuh Hernández-García ◽  
Helena Gómez-Adorno ◽  
Gemma Bel-Enguix
Keyword(s):  
Unsupervised Learning ◽  
Open Problem ◽  
Authorship Attribution ◽  
The Real ◽  
Supervised And Unsupervised Learning ◽  
Single Author ◽  
Svm Algorithm ◽  
Mexican Government

In this paper, we present authorship attribution methods applied to ¡El Mondrigo! (1968), a controversial text supposedly created by order of the Mexican Government to defame a student strike. Up to now, although the authorship of the book has been attributed to several journalists and writers, it could not be demonstrated and remains an open problem. The work aims at establishing which one of the most commonly attributed writers is the real author. To do that, we implement methods based on stylometric features using textual distance, supervised, and unsupervised learning. The distance-based methods implemented in this work are Kilgarriff and Delta of Burrows, an SVM algorithm is used as the supervised method, and the k-means algorithm as the unsupervised algorithm. The applied methods were consistent by pointing out a single author as the most likely one.

scholarly journals ON SOME PEXIDER-TYPE FUNCTIONAL EQUATIONS CONNECTED WITH THE ABSOLUTE VALUE OF ADDITIVE FUNCTIONS. PART II

2012 ◽  
Vol 85 (2) ◽  
pp. 202-216 ◽  
Author(s):  
BARBARA PRZEBIERACZ
Keyword(s):  
Functional Equation ◽  
Abelian Group ◽  
Functional Equations ◽  
Additive Functions ◽  
Absolute Value ◽  
Real Functions ◽  
The Absolute ◽  
Image Position

AbstractWe investigate the Pexider-type functional equation where f, g, h are real functions defined on an abelian group G. We solve this equation under the assumptions G=ℝ and f is continuous.

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