Log in

Relevant bibliographies by topics / Congruence / Journal articles

To see the other types of publications on this topic, follow the link: Congruence.

Journal articles on the topic 'Congruence'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 May 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Congruence.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Rančić, Katarina, and Slobodan Marković. "The Perceptual and Aesthetic Aspects of the Music-Paintings Congruence." Vision 3, no. 4 (November 20, 2019): 65. http://dx.doi.org/10.3390/vision3040065.

Full text

Abstract:

The purpose of the present study is to investigate the effect of congruence between music and paintings on the aesthetic preference of paintings. Congruence was specified as the similarity in perceived regularity and the complexity of jazz compositions and abstract paintings (the ratings of regularity and complexity in both sets of stimuli were obtained in the pilot study). In the main experiment, 32 participants rated the aesthetic pleasantness of paintings with congruent, incongruent, and no music background. In addition, they rated the music-paintings matching (how well the music goes with the painting). The results show no effect of congruence on aesthetic pleasantness ratings. The effect on the perceived matching was significant; matching is higher in the congruent compared to the incongruent condition. These findings suggest that congruency has a strong effect on the perceptual aspect of the music-paintings compatibility (visuo-auditory similarity) and no effect on the aesthetic aspect (liking).

APA, Harvard, Vancouver, ISO, and other styles

2

Li, Chunhua, Lingxiang Meng, Jieying Fang, and Baogen Xu. "Admissible congruences on type B semigroups." Open Mathematics 20, no. 1 (January 1, 2022): 1869–86. http://dx.doi.org/10.1515/math-2022-0551.

Full text

Abstract:

Abstract The main aim of this article is to study admissible congruences on a type B semigroup. First, we give characterizations of the minimum admissible congruence whose trace is a normal congruence on a type B semigroup. After obtaining some properties of admissible congruences with the same trace on a type B semigroup, we introduce the notion of a normal subsemigroup and give characterizations of the minimum and maximum admissible congruences whose kernels are normal subsemigroups. Finally, the concept of a congruence pair of a type B semigroup is given, and two congruences associated with the congruence pair are obtained.

APA, Harvard, Vancouver, ISO, and other styles

3

Badawy, Abd El-Mohsen, and Alaa Helmy. "Permutabitity of principal $ MS $-algebras." AIMS Mathematics 8, no. 9 (2023): 19857–75. http://dx.doi.org/10.3934/math.20231012.

Full text

Abstract:

<abstract><p>In this paper, we continue to introduce new properties of principal $ MS $-algebras deal with congruence relations via $ MS $-congruence pairs. Necessary and sufficient conditions for a pair of congruences $ (\theta_{1}, \theta_{2})\in Con(L^{\circ\circ})\times Con_{lat}(D(L)) $ to become an $ MS $-congruence pair of a principal $ MS $-algebra (principal Stone algebra) $ L $ are obtained. We describe the lattice of all $ MS $-congruence pairs of a principal $ MS $-algebra $ L $ which induced by the Boolean elements of $ L $. We introduce certain special congruence $ \Psi $ on a principal $ MS $-algebra and its related properties which are useful for the topic of this paper. A characterization of $ 2 $-permutable congruences using $ MS $-congruence pairs of principal $ MS $-algebras is established. Finally, a characterization of $ n $-permutability of congruences of principal $ MS $-algebras is given, which is a generalization of the characterization of $ 2 $-permutability of congruences of such algebras.</p></abstract>

APA, Harvard, Vancouver, ISO, and other styles

4

Rao, S. Hanumantha, and P. Lakshmi. "Group congruences on eventually regular semigroups." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 45, no. 3 (December 1988): 320–25. http://dx.doi.org/10.1017/s1446788700031025.

Full text

Abstract:

AbstractA characterization of group congruences on an eventually regular semigroup S is provided. It is shown that a group congruence is dually right modular in the lattice of congruences on S. Also for any group congruence ℸ and any congruence p on S, ℸ Vp and kernel ℸ Vp are described.

APA, Harvard, Vancouver, ISO, and other styles

5

Brookes, Matthew D. G. K. "Congruences on the partial automorphism monoid of a free group action." International Journal of Algebra and Computation 31, no. 06 (June 3, 2021): 1147–76. http://dx.doi.org/10.1142/s0218196721400075.

Full text

Abstract:

We study congruences on the partial automorphism monoid of a finite rank free group action. We determine a decomposition of a congruence on this monoid into a Rees congruence, a congruence on a Brandt semigroup and an idempotent separating congruence. The constituent parts are further described in terms of subgroups of direct and semidirect products of groups. We utilize this description to demonstrate how the number of congruences on the partial automorphism monoid depends on the group and the rank of the action.

APA, Harvard, Vancouver, ISO, and other styles

6

DAVEY, BRIAN A., MARCEL JACKSON, MIKLÓS MARÓTI, and RALPH N. MCKENZIE. "PRINCIPAL AND SYNTACTIC CONGRUENCES IN CONGRUENCE-DISTRIBUTIVE AND CONGRUENCE-PERMUTABLE VARIETIES." Journal of the Australian Mathematical Society 85, no. 1 (August 2008): 59–74. http://dx.doi.org/10.1017/s144678870800061x.

Full text

Abstract:

AbstractWe give a new proof that a finitely generated congruence-distributive variety has finitely determined syntactic congruences (or, equivalently, term finite principal congruences), and show that the same does not hold for finitely generated congruence-permutable varieties, even under the additional assumption that the variety is residually very finite.

APA, Harvard, Vancouver, ISO, and other styles

7

Aurier, Philippe, and Fatiha Fort. "Effets de la région d'origine, du produit, de la marque et de leurs congruences, sur l‘évaluation des consommateurs: application aux produits agroalimentaires." Recherche et Applications en Marketing (French Edition) 20, no. 4 (December 2005): 29–52. http://dx.doi.org/10.1177/076737010502000402.

Full text

Abstract:

L'attitude pour le produit, la marque et l'origine géographique, ainsi que leurs congruences respectives (produit × origine, marque × origine, marque × produit), sont étudiées comme facteurs explicatifs de l'évaluation globale d'un produit marqué et d'origine. Dans une expérimentation sur deux produits alimentaires (Tomme/Cassoulet), nous observons qu'en condition de congruence totale, seule l'attitude pour la marque influence l'évaluation globale. En revanche, dans le cas où la marque et/ou l'origine ne sont plus congruentes avec la catégorie, alors les facteurs de congruence perçue correspondants s'ajoutent à l'effet de l'attitude pour la marque, afin de compléter l'évaluation du consommateur. Les implications managériales sont développées, à la fois pour les marques internationales, les MDD et les marques régionales de PME agroalimentaires.

APA, Harvard, Vancouver, ISO, and other styles

8

Gigoń, Roman S. "Completely simple congruences on E-inversive semigroups." Journal of Algebra and Its Applications 15, no. 06 (March 30, 2016): 1650052. http://dx.doi.org/10.1142/s0219498816500523.

Full text

Abstract:

We study completely simple congruences on an arbitrary [Formula: see text]-inversive semigroup [Formula: see text]. In particular, we show that every such congruence [Formula: see text] on [Formula: see text] is uniquely determined by its kernel and trace, and that the trace of [Formula: see text] is a congruence on the biordered set [Formula: see text]. Moreover, we investigate the complete lattice of all completely simple congruences on [Formula: see text] and show that the trace relation is a complete congruence on this lattice. We also construct a family of completely simple congruences on [Formula: see text].

APA, Harvard, Vancouver, ISO, and other styles

9

Fallon, Nicholas, Timo Giesbrecht, Anna Thomas, and Andrej Stancak. "A Behavioral and Electrophysiological Investigation of Effects of Visual Congruence on Olfactory Sensitivity During Habituation to Prolonged Odors." Chemical Senses 45, no. 9 (October 9, 2020): 845–54. http://dx.doi.org/10.1093/chemse/bjaa065.

Full text

Abstract:

Abstract Congruent visual cues augment sensitivity to brief olfactory presentations and habituation of odor perception is modulated by central-cognitive processing including context. However, it is not known whether habituation to odors could interact with cross-modal congruent stimuli. The present research investigated the effect of visual congruence on odor detection sensitivity during continuous odor exposures. We utilized a multimethod approach, including subjective behavioral responses and reaction times (RTs; study 1) and electroencephalography (EEG, study 2). Study 1: 25 participants received 2-min presentations of moderate-intensity floral odor delivered via olfactometer with congruent (flower) and incongruent (object) image presentations. Participants indicated odor perception after each image. Detection sensitivity and RTs were analyzed in epochs covering the period of habituation. Study 2: 25 new participants underwent EEG recordings during 145-s blocks of odor presentations with congruent or incongruent images. Participants passively observed images and intermittently rated the perceived intensity of odor. Event-related potential analysis was utilized to evaluate brain processing related to odor–visual pairs across the period of habituation. Odor detection sensitivity and RTs were improved by congruent visual cues. Results highlighted a diminishing influence of visual congruence on odor detection sensitivity as habituation occurred. Event-related potential analysis revealed an effect of congruency on electrophysiological processing in the N400 component. This was only evident in early periods of odor exposure when perception was strong. For the first time, this demonstrates the modulation of central processing of odor–visual pairs by habituation. Frontal negativity (N400) responses encode the aspects of cross-modal congruence for odor–vision cross-modal tasks.

APA, Harvard, Vancouver, ISO, and other styles

10

Badawy, Abd El-Mohsen, and Kar Ping Shum. "Congruence pairs of principal p-algebras." Mathematica Slovaca 67, no. 1 (February 1, 2017): 263–70. http://dx.doi.org/10.1515/ms-2016-0265.

Full text

Abstract:

Abstract In this paper, we first introduce the concept of congruence pairs on the class of principal p-algebras. Then, we show that every congruence relation θ on a principal p-algebra L can be uniquely determined by a congruence pair (θ 1, θ 2). Moreover, the strong extensions of principal p-algebras and the permutability of congruences will be investigated by congruence pairs.

APA, Harvard, Vancouver, ISO, and other styles

11

Grätzer, G., and E. T. Schmidt. "Congruence Class Sizes in Finite Sectionally Complemented Lattices." Canadian Mathematical Bulletin 47, no. 2 (June 1, 2004): 191–205. http://dx.doi.org/10.4153/cmb-2004-019-3.

Full text

Abstract:

AbstractThe congruences of a finite sectionally complemented lattice L are not necessarily uniform (any two congruence classes of a congruence are of the same size). To measure how far a congruence Θ of L is from being uniform, we introduce Spec Θ, the spectrum of Θ, the family of cardinalities of the congruence classes of Θ. A typical result of this paper characterizes the spectrum S = (mj | j < n) of a nontrivial congruence Θ with the following two properties:

APA, Harvard, Vancouver, ISO, and other styles

12

FAN, XINGKUI, QIANHUA CHEN, and XIANGJUN KONG. "COMPLETE LATTICE HOMOMORPHISM OF STRONGLY REGULAR CONGRUENCES ON -INVERSIVE SEMIGROUPS." Journal of the Australian Mathematical Society 100, no. 2 (October 28, 2015): 199–215. http://dx.doi.org/10.1017/s1446788715000373.

Full text

Abstract:

In this paper, we investigate strongly regular congruences on $E$-inversive semigroups $S$. We describe the complete lattice homomorphism of strongly regular congruences, which is a generalization of an open problem of Pastijn and Petrich for regular semigroups. An abstract characterization of left and right traces for strongly regular congruences is given. The strongly regular (sr) congruences on $E$-inversive semigroups $S$ are described by means of certain strongly regular congruence triples $({\it\gamma},K,{\it\delta})$ consisting of certain sr-normal equivalences ${\it\gamma}$ and ${\it\delta}$ on $E(S)$ and a certain sr-normal subset $K$ of $S$. Further, we prove that each strongly regular congruence on $E$-inversive semigroups $S$ is uniquely determined by its associated strongly regular congruence triple.

APA, Harvard, Vancouver, ISO, and other styles

13

Arora, Nilesh, Sanjeev Prashar, Sai Vijay Tata, and Chandan Parsad. "Measuring personality congruency effects on consumer brand intentions in celebrity-endorsed brands." Journal of Consumer Marketing 38, no. 3 (February 8, 2021): 251–61. http://dx.doi.org/10.1108/jcm-02-2020-3634.

Full text

Abstract:

Purpose Brand managers frequently use well-known celebrities to position their brands and capture consumers’ attention to improve the brand’s market share. The attachment of a celebrity with a brand creates a human image for a brand and helps in personifying its image. The consumer perceives the brand as an individual and relates his personality, as well as the personality of the celebrity with that of the brand. It becomes pertinent for marketers to understand how brand-celebrity personality congruence and brand-consumer personality congruence affect the brand reputation, uniqueness and purchase intentions. Thus, the purpose of this study is to understand the relationship between the two personality congruence aspects – brand & celebrity personalities and brand & consumer personalities, and their impact on the reputation of the brand and its uniqueness. Further, the paper aims to examine the impact of the brand reputation and brand uniqueness on purchase intentions. Design/methodology/approach The present study uses Aaker’s five-factor personality scale to study the personality congruence effects on brand reputation, brand uniqueness and purchase intentions. The literature review was carried out to categorize factors related to celebrity personality, brand personality and consumer personality. The data for this study was collected through questionnaires from 1,235 respondents. In the first step, congruencies between celebrity, brand and consumer personality were determined. This was followed by a two-stage structural equation modelling for assessing the model fit and testing the hypotheses. Findings From the study results, it is observed that brand-celebrity congruency influences brand reputation and brand uniqueness. However, brand-consumer congruency had an effect only on brand reputation and not on brand uniqueness. Both brand reputation and uniqueness have favourable impact on consumers purchase intentions. Originality/value This study contributes to the existing literature on celebrity endorsement by extending the discussion with personality-based congruence. The research deciphered two aspects of identification, i.e. consumer-brand personality congruence and brand-celebrity congruence. The paper hypothesized the favourable association between brand personality and consumer personality congruence and brand uniqueness. However, it was observed that brand personality-consumer personality identification had an insignificant influence on brand uniqueness. This is contrary to the findings of some studies in the literature. Further investigation of this relationship in the future may add a new dimension to the identification context.

APA, Harvard, Vancouver, ISO, and other styles

14

Gong, Chunmei, Lele Cui, and Hui Wang. "Good congruences on weakly ample semigroups." Thermal Science 25, no. 2 Part B (2021): 1431–36. http://dx.doi.org/10.2298/tsci200420043g.

Full text

Abstract:

The concept of normal congruence on a weakly ample semigroup, S, is introduced and the maximum and minimum admissible congruences whose trace is the normal congruence, ?, on a weakly ample semigroup, S, are characterized in this paper. Some results about congruences on ample semigroups are generalized to weakly ample semigroups.

APA, Harvard, Vancouver, ISO, and other styles

15

Sanwong, Jintana, and R. P. Sullivan. "Maximal Congruences on Some Semigroups." Algebra Colloquium 14, no. 02 (June 2007): 255–63. http://dx.doi.org/10.1142/s1005386707000259.

Full text

Abstract:

In 1976 Howie proved that a finite congruence-free semigroup is a simple group if it has at least three elements but no zero element. Infinite congruence-free semigroups are far more complicated to describe, but some have been constructed using semigroups of transformations (for example, by Howie in 1981 and by Marques in 1983). Here, for certain semigroups S of numbers and of transformations, we determine all congruences ρ on S such that S/ρ is congruence-free, that is, we describe all maximal congruences on such semigroups S.

APA, Harvard, Vancouver, ISO, and other styles

16

Munn, W. D. "Congruence-free regular semigroups." Proceedings of the Edinburgh Mathematical Society 28, no. 1 (February 1985): 113–19. http://dx.doi.org/10.1017/s0013091500003254.

Full text

Abstract:

A semigroup is said to be congruence-free if and only if its only congruences are the universal relation and the identical relation. Congruence-free inverse semigroups were studied by Baird [2], Trotter [19], Munn [15,16] and Reilly [18]. In addition, results on congruence-free regular semigroups have been obtained by Trotter [20], Hall [4] and Howie [7].

APA, Harvard, Vancouver, ISO, and other styles

17

Kipper, David A., and Melany E. Baehr. "Consistency as a Moderating Factor in Self- and Observational Assessments of Personality." Perceptual and Motor Skills 66, no. 2 (April 1988): 559–68. http://dx.doi.org/10.2466/pms.1988.66.2.559.

Full text

Abstract:

The consistency of responses to a disguised form of self-assessment, originally a check measure, was thought to serve a moderating role affecting the congruence between different forms and sources of assessment. It was predicted that scorers of high consistency would show greater congruence than scorers of low consistency between their self-assessments on two procedures, a disguised vs an undisguised. The same pattern was predicted for congruencies between disguised self-assessments and undisguised supervisors' assessments. A disguised and an undisguised version of an assessment inventory addressing Extroversion, Emotionality, and Self-reliance, were administered to 414 male executives. The undisguised version was also completed by their supervisors. The results supported the predictions except for the congruency with the supervisors' evaluation of Self-reliance. These findings, the meaning of consistency, and its moderating function are discussed.

APA, Harvard, Vancouver, ISO, and other styles

18

Rémi, Jan, Sophie Shen, Moritz Tacke, Philipp Probst, Lucia Gerstl, Aurelia Peraud, Mathias Kunz, Christian Vollmar, Soheyl Noachtar, and Ingo Borggraefe. "Congruence and Discrepancy of Interictal and Ictal EEG With MRI Lesions in Pediatric Epilepsies." Clinical EEG and Neuroscience 51, no. 6 (May 18, 2020): 412–19. http://dx.doi.org/10.1177/1550059420921712.

Full text

Abstract:

Purpose. To evaluate the congruence or discrepancy of the localization of magnetic resonance imaging (MRI) lesions with interictal epileptiform discharges (IEDs) or epileptic seizure patterns (ESPs) in surface EEG in lesional pediatric epilepsy patients. Methods. We retrospectively analyzed presurgical MRI and video-EEG monitoring findings of patients up to age 18 years. Localization of MRI lesions were compared with ictal and interictal noninvasive EEG findings of patients with frontal, temporal, parietal, or occipital lesions. Results. A total of 71 patients were included. Localization of ESPs showed better congruence with MRI in patients with frontal lesions (n = 21, 77.5%) than in patients with temporal lesions (n = 24; 40.7%) ( P = .009). No significant IED distribution differences between MRI localizations could be found. Conclusions. MRI lesions and EEG findings are rarely fully congruent. Congruence of MRI lesions and ESPs was highest in children with frontal lesions. This is in contrast to adults, in whom temporal lesions showed the highest congruency with the EEG localization of ESP. Lesional pediatric patients should be acknowledged as surgical candidates despite incongruent findings of interictal and ictal surface EEG.

APA, Harvard, Vancouver, ISO, and other styles

19

Qin, Xiaoyan, Yi Liu, and Yang Xu. "Vague Congruences and Quotient Lattice Implication Algebras." Scientific World Journal 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/197403.

Full text

Abstract:

The aim of this paper is to further develop the congruence theory on lattice implication algebras. Firstly, we introduce the notions of vague similarity relations based on vague relations and vague congruence relations. Secondly, the equivalent characterizations of vague congruence relations are investigated. Thirdly, the relation between the set of vague filters and the set of vague congruences is studied. Finally, we construct a new lattice implication algebra induced by a vague congruence, and the homomorphism theorem is given.

APA, Harvard, Vancouver, ISO, and other styles

20

Tang, Jian, Bijan Davvaz, and Xiang-Yun Xie. "An investigation on hyper S-posets over ordered semihypergroups." Open Mathematics 15, no. 1 (February 16, 2017): 37–56. http://dx.doi.org/10.1515/math-2017-0004.

Full text

Abstract:

Abstract In this paper, we define and study the hyper S-posets over an ordered semihypergroup in detail. We introduce the hyper version of a pseudoorder in a hyper S-poset, and give some related properties. In particular, we characterize the structure of factor hyper S-posets by pseudoorders. Furthermore, we introduce the concepts of order-congruences and strong order-congruences on a hyper S-poset A, and obtain the relationship between strong order-congruences and pseudoorders on A. We also characterize the (strong) order-congruences by the ρ-chains, where ρ is a (strong) congruence on A. Moreover, we give a method of constructing order-congruences, and prove that every hyper S-subposet B of a hyper S-poset A is a congruence class of one order-congruence on A if and only if B is convex. In the sequel, we give some homomorphism theorems of hyper S-posets, which are generalizations of similar results in S-posets and ordered semigroups.

APA, Harvard, Vancouver, ISO, and other styles

21

Gao, Ang, Kai Zhao, and Qing Qu. "Linking person–organization adhocracy value congruence to creativity." Journal of Managerial Psychology 35, no. 7/8 (September 14, 2020): 603–15. http://dx.doi.org/10.1108/jmp-08-2019-0448.

Full text

Abstract:

PurposeThe purpose of this study is to examine the effect of person–organization (P-O) adhocracy value congruence on employee creativity using the supplementary fit theory while investigating the moderating effect of the immediate supervisor's transformational leadership.Design/methodology/approachThe study uses polynomial regression to analyze 431 employees from 47 Chinese companies.FindingsHigher levels of creativity were observed in employees whose adhocracy value was congruent with that of the organization.Practical implicationsThe practice of hiring employees with creative value or building creative culture may not trigger employee creativity if managers do not take value congruence into consideration.Originality/valueThis study introduces a new perspective on understanding creativity in the workplace. First, it contributes to work on the consequences of P-O value congruency by exploring how supplementary fit influences employee creativity. Second, it contributes to creativity research by proposing a P-O supplementary fit argument to explain the actor-context interactionist model of creativity.

APA, Harvard, Vancouver, ISO, and other styles

22

Bonzini, C., and A. Cherubini. "Modularity of the lattice of congruences of a regular ω-semigroup." Proceedings of the Edinburgh Mathematical Society 33, no. 3 (October 1990): 405–17. http://dx.doi.org/10.1017/s0013091500004831.

Full text

Abstract:

In this paper a characterization of the regular ω-semigroups whose congruence lattice is modular is given. The characterization obtained for such semigroups generalizes the one given by Munn for bisimple ω-semigroups and completes a result of Baird dealing with the modularity of the sublattice of the congruence lattice of a simple regular ω-semigroup consisting of congruences which are either idempotent separating or group congruences.

APA, Harvard, Vancouver, ISO, and other styles

23

Adams, M. E. "Principal congruences in de Morgan algebras." Proceedings of the Edinburgh Mathematical Society 30, no. 3 (October 1987): 415–21. http://dx.doi.org/10.1017/s0013091500026808.

Full text

Abstract:

A congruence relation θ on an algebra L is principal if there exist a, b)∈L such that θ is the smallest congruence relation for which (a, b)∈θ. The property that, for every algebra in a variety, the intersection of two principal congruences is again a principal congruence is one that is known to be shared by many varieties (see, for example, K. A. Baker [1]). One such example is the variety of Boolean algebras. De Morgan algebras are a generalization of Boolean algebras and it is the intersection of principal congruences in the variety of de Morgan algebras that is to be considered in this note.

APA, Harvard, Vancouver, ISO, and other styles

24

Yousaf, Z., M. Zaeem-ul-Haq Bhatti, and Aamna Rafaqat. "LTB geometry with tilted and nontilted congruences in f(R,T) gravity." International Journal of Modern Physics D 26, no. 09 (March 9, 2017): 1750099. http://dx.doi.org/10.1142/s0218271817500997.

Full text

Abstract:

We investigate the role of tilted and nontilted congruence in the dynamics of dissipative Lemaître–Tolman–Bondi spacetime in [Formula: see text] gravity. We consider imperfect fluid with its congruences observed by tilted observer and dust fluid filled with LTB geometry observed by the nontilted observer. In order to elaborate the dynamical features of two congruences, we consider well-known [Formula: see text] models and develop relationships between tilted and nontilted dynamical variables. We evaluate the nonzero divergence of energy–momentum tensor for tilted congruence and transport equation for the system in [Formula: see text] gravity. We have also checked the instability regimes for nontilted congruence.

APA, Harvard, Vancouver, ISO, and other styles

25

TRENEER, STEPHANIE. "CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS." Proceedings of the London Mathematical Society 93, no. 2 (August 7, 2006): 304–24. http://dx.doi.org/10.1112/s0024611506015814.

Full text

Abstract:

Recent works have used the theory of modular forms to establish linear congruences for the partition function and for traces of singular moduli. We show that this type of phenomenon is completely general, by finding similar congruences for the coefficients of any weakly holomorphic modular form on any congruence subgroup $\Gamma_0 (N)$. In particular, we give congruences for a wide class of partition functions and for traces of CM values of arbitrary modular functions on certain congruence subgroups of prime level.

APA, Harvard, Vancouver, ISO, and other styles

26

Meštrović, Romeo. "An Extension of a Congruence by Tauraso." ISRN Combinatorics 2013 (December 25, 2013): 1–7. http://dx.doi.org/10.1155/2013/363724.

Full text

Abstract:

For a positive integer let be the th harmonic number. In this paper we prove that, for any prime , . Notice that the first part of this congruence is proposed in 2008 by Tauraso. In our elementary proof of the second part of the above congruence we use certain classical congruences modulo a prime and the square of a prime, some congruences involving harmonic numbers, and a combinatorial identity due to Hernández. Our auxiliary results contain many interesting combinatorial congruences involving harmonic numbers.

APA, Harvard, Vancouver, ISO, and other styles

27

Arnold, André, Patrick Cégielski, and Irène Guessarian. "Affine Completeness of Some Free Binary Algebras." Fundamenta Informaticae 186, no. 1-4 (August 30, 2022): 27–44. http://dx.doi.org/10.3233/fi-222117.

Full text

Abstract:

A function on an algebra is congruence preserving if, for any congruence, it maps pairs of congruent elements onto pairs of congruent elements. An algebra is said to be affine complete if every congruence preserving function is a polynomial function. We show that the algebra of (possibly empty) binary trees whose leaves are labeled by letters of an alphabet containing at least one letter, and the free monoid on an alphabet containing at least two letters are affine complete.

APA, Harvard, Vancouver, ISO, and other styles

28

Klettner, Silvia. "Form Follows Content: An Empirical Study on Symbol-Content (In)Congruences in Thematic Maps." ISPRS International Journal of Geo-Information 9, no. 12 (December 2, 2020): 719. http://dx.doi.org/10.3390/ijgi9120719.

Full text

Abstract:

Through signs and symbols, maps represent geographic space in a generalized and abstracted way. Cartographic research is, therefore, concerned with establishing a mutually shared set of signs and semiotic rules to communicate geospatial information successfully. While cartographers generally strive for cognitively congruent maps, empirical research has only started to explore the different facets and levels of correspondences between external cartographic representations and processes of human cognition. This research, therefore, draws attention to the principle of contextual congruence to study the correspondences between shape symbols and different geospatial content. An empirical study was carried out to explore the (in)congruence of cartographic point symbols with respect to positive, neutral, and negative geospatial topics in monothematic maps. In an online survey, 72 thematic maps (i.e., 12 map topics × 6 symbols) were evaluated by 116 participants in a between-groups design. The point symbols comprised five symmetric shapes (i.e., Circle, Triangle, Square, Rhomb, Star) and one Asymmetric Star shape. The study revealed detailed symbol-content congruences for each map topic as well as on an aggregated level, i.e., by positive, neutral, and negative topic clusters. Asymmetric Star symbols generally showed to be highly incongruent with positive and neutral topics, while highly congruent with negative map topics. Symmetric shapes, on the other hand, emerged to be of high congruence with positive and neutral map topics, whilst incongruent with negative topics. As the meaning of point symbols showed to be susceptible to context, the findings lead to the conclusion that cognitively congruent maps require profound context-specific considerations when designing and employing map symbols.

APA, Harvard, Vancouver, ISO, and other styles

29

Кокарева, Я., and Ya Kokareva. "Synthesis of Equations For Ruled Surfaces With Two Curvilinear And One Rectangular Directrixes." Geometry & Graphics 6, no. 3 (November 14, 2018): 3–12. http://dx.doi.org/10.12737/article_5bc454948a7d90.80979486.

Full text

Abstract:

Ruled surfaces have long been known and are widely used in construction, architecture, design and engineering. And if from the technical point of view the developable surfaces are more attractive, then architecture and design successfully experiment with non-developable ones. In this paper are considered non-developable ruled surfaces with three generators, two of which are curvilinear ones. According to classification, such surfaces are called twice oblique cylindroids. In this paper has been proposed an approach for obtaining of twice oblique cylindroids by immersing a curve in a line congruence of hyperbolic type. Real directrixes of such congruence are a straight line and a curve. It has been proposed to use helical lines (cylindrical and conical ones) as a curvilinear directrix, and a helical line’s axis as the straight one. Then the congruence’s rectilinear ray will simultaneously intersect the helical line and its axis. Congruence parameters are the line’s pitch and the guide cylinder or cone’s radius. The choice of the curvilinear directrix is justified by the fact that the helical lines have found a wide application in engineering and architecture. Accordingly, the helical lines based surfaces can have a great potential. In this paper have been presented parametric equations of the considered congruences. The congruence equations have been considered from the point of view related to introducing a new curvilinear coordinate system. The obtained system’s coordinate surfaces and coordinate lines have been also studied in the paper. To extract the surface, it is necessary to immerse the curve in the congruence. To synthesize the equations has been used a constructive-parametric method based on the substitution of the immersed line’s parametric equations in the congruence equations according to a special algorithm. In the paper have been presented 5 examples for the synthesis of ruled surfaces equations such as the twice oblique cylindroid and their visualization. The method is universal and algorithmic, and therefore easily adaptable for the automated construction of surfaces with variable parameters of both the congruence and the immersed line.

APA, Harvard, Vancouver, ISO, and other styles

30

Czelakowski, J. "Relative principal congruences in congruence-modular quasivarieties." Algebra Universalis 39, no. 3-4 (August 1, 1998): 81–101. http://dx.doi.org/10.1007/s000120050069.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Kiss, Emil W. "Definable principal congruences in congruence distributive varieties." Algebra Universalis 21, no. 2-3 (June 1985): 213–24. http://dx.doi.org/10.1007/bf01188057.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Rittri, Mikael. "Using types as search keys in function libraries." Journal of Functional Programming 1, no. 1 (January 1991): 71–89. http://dx.doi.org/10.1017/s095679680000006x.

Full text

Abstract:

AbstractA method is proposed to search for an identifier in a functional program library by using its Hindley–Milner type as a key. This can be seen as an approximation of using the specification as a key.Functions that only differ in their argument order or currying are essentially the same, which is expressed by a congruence relation on types. During a library search, congruent types are identified. If a programmer is not satisfied with the type of a found value, he can use a conversion function (like curry), which must exist between congruent types, to convert the value into the type of his choice.Types are congruent if they are isomorphic in all cartesian closed categories. To put it more simply, types are congruent if they are equal under an arithmetical interpretation, with cartesian product as multiplication and function space as exponentiation. This congruence relation is characterized by seven equational axioms. There is a simple term-rewriting algorithm to decide congruence, using which a search system has been implemented for the functional language Lazy ML, with good performance.The congruence relation can also be used as a basis for other search strategies, e.g. searching for identifiers of a more general type, modulo congruence or allowing free type variables in queries.

APA, Harvard, Vancouver, ISO, and other styles

33

IDZIAK, PAWEŁ, KATARZYNA SŁOMCZYŃSKA, and ANDRZEJ WROŃSKI. "FREGEAN VARIETIES." International Journal of Algebra and Computation 19, no. 05 (August 2009): 595–645. http://dx.doi.org/10.1142/s0218196709005251.

Full text

Abstract:

A class [Formula: see text] of algebras with a distinguished constant term 0 is called Fregean if congruences of algebras in [Formula: see text] are uniquely determined by their 0–cosets and ΘA (0,a) = ΘA (0,b) implies a = b for all [Formula: see text]. The structure of Fregean varieties is investigated. In particular it is shown that every congruence permutable Fregean variety consists of algebras that are expansions of equivalential algebras, i.e. algebras that form an algebraization of the purely equivalential fragment of the intuitionistic propositional logic. Moreover the clone of polynomials of any finite algebra A from a congruence permutable Fregean variety is uniquely determined by the congruence lattice of A together with the commutator of congruences. Actually we show that such an algebra A itself can be recovered (up to polynomial equivalence) from its congruence lattice expanded by the commutator, i.e. the structure ( Con (A); ∧, ∨, [·,·]). This leads to Fregean frames, a notion that generalizes Kripke frames for intuitionistic propositional logic.

APA, Harvard, Vancouver, ISO, and other styles

34

Murray, A. P., and J. M. McCarthy. "Passing a Central Axis Congruence Through Six Arbitrary Lines in Space." Journal of Mechanical Design 118, no. 4 (December 1, 1996): 515–19. http://dx.doi.org/10.1115/1.2826921.

Full text

Abstract:

The design theory of a spatial 4C linkage to move a rigid body through four specified spatial positions determines a congruence of lines that may be used as fixed axes of the linkage, called the central axis congruence. In this paper, we locate a central axis congruence in space by identifying six arbitrary lines that it is to contain; we do not specify the positions of a rigid body or the associated relative displacement screws. We find that this yields at least one and as many as five different central axis congruences through a given set of six lines. Having defined the congruence without identifying any positions, we then show how to determine sets of four spatial positions that generate the given central axis congruence.

APA, Harvard, Vancouver, ISO, and other styles

35

Chajda, Ivan. "Algebras whose principal congruences form a sublattice of the congruence lattice." Czechoslovak Mathematical Journal 38, no. 4 (1988): 585–88. http://dx.doi.org/10.21136/cmj.1988.102254.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Edwards, P. M. "On joins with group congruences." Proceedings of the Edinburgh Mathematical Society 40, no. 1 (February 1997): 63–67. http://dx.doi.org/10.1017/s0013091500023439.

Full text

Abstract:

Let be an arbitrary semigroup. A congruence γ on is a group congruence if /γ is a group. The set of group congruences on is non-empty since × is a group congruence. The lattice of congruences on a semigroup will be denoted by () and the set of group congruences on will be denoted by (). If () is a lattice then it is modular and γ ∨ ρ = γ ο ρ = ρ ο γ for all γ, ρ ε (). The main result is that γ ν ρ = γ ο ρ ο γ for any γ ε () and ρ ε () (whence every element of the set () is dually right modular in (). This result has appeared, for particular classes of semigroups, many times in the literature. Also γ ν ρ = γ ο ρ ο γ = ρ ο γ ο ρ for all γ, ρ ε () which is similar to the well known result for the join of congruences on a group. Furthermore, if γ ∩ ρ ε () then γ ν ρ = γ ο ρ = ρ ο γ.

APA, Harvard, Vancouver, ISO, and other styles

37

Hopkinson, Laura, Dianne Watt, and John Roodenburg. "Australian Validation of the Hierarchical Personality Inventory for Children (HiPIC)." Australian Educational and Developmental Psychologist 31, no. 2 (May 16, 2014): 113–24. http://dx.doi.org/10.1017/edp.2014.3.

Full text

Abstract:

The Hierarchical Personality Inventory for Children (HiPIC) is a developmentally appropriate parent-report measure of the Five Factor Model (FFM) that has been validated in several European languages but only recently in English. The English translation of the HiPIC was evaluated in an Australian context. Parent-rated HiPIC scores were obtained for 202 children (aged 5–14 years) via an online survey. Exploratory factor analysis indicated five factors that appeared reasonably congruent with the original Flemish HiPIC structure, though with some apparent differences particularly in regard to the Extraversion and Benevolence facets. A Procrustes targeted rotation was used to evaluate the congruence with the original Flemish structure. This indicated encouragingly high congruences for the overall model (.97), as well as high facet and factor congruence (.92–.99). These findings can be taken to reflect the robust nature of the HiPIC model, validating the instrument and more specifically confirming its applicability for use in practice and research investigating children's development and wellbeing in Australia.

APA, Harvard, Vancouver, ISO, and other styles

38

Petrich, Mario, and Stuart A. Rankin. "Harmonic inverse semigroups." Glasgow Mathematical Journal 31, no. 3 (September 1989): 335–51. http://dx.doi.org/10.1017/s0017089500007904.

Full text

Abstract:

An inverse semigroup S shall be said to be harmonic if every congruence on S is determined by any one of its classes. In other words, if λ and ρ are congruences on S having a congruence class in common, then λ = ρ. The class of all harmonic semigroups contains all bisimple inverse semigroups, as proved by Žitomirskiĭ [11] and also by Schein [10], and all congruence-free inverse semigroups. Moreover, is contained in the class of all 0-simple or simple inverse semigroups, as is easy to see. We shall show that there exist non-bisimple, non-congruence-free harmonic semigroups and that there are simple inverse semigroups which are not harmonic.

APA, Harvard, Vancouver, ISO, and other styles

39

Pletser, Vladimir. "Global Generalized Mersenne Numbers: Definition, Decomposition, and Generalized Theorems." Symmetry 16, no. 5 (May 3, 2024): 551. http://dx.doi.org/10.3390/sym16050551.

Full text

Abstract:

A new generalized definition of Mersenne numbers is proposed of the form an−a−1n, called global generalized Mersenne numbers and noted GMa,n with base a and exponent n positive integers. The properties are investigated for prime n and several theorems on Mersenne numbers regarding their congruence properties are generalized and demonstrated. It is found that for any a, GMa,n−1 is even and divisible by n, a and a−1 for any prime n>2, and by aa−1+1 for any prime n>5. The remaining factor is a function of triangular numbers of a−1, specific for each prime n. Four theorems on Mersenne numbers are generalized and four new theorems are demonstrated, showing first that GMa,n≡1or7mod12 depending on the congruence of amod4; second, that GMa,n−1 are divisible by 10 if n≡1mod4 and, if n≡3mod4, GMa,n≡1or7or9mod10, depending on the congruence of amod5; third, that all factors ci of GMa,n are of the form 2nfi+1 such that ci is either prime or the product of primes of the form 2nj+1, with fi,j natural integers; fourth, that for prime n>2, all GMa,n are periodically congruent to ±1or±3mod8 depending on the congruence of amod8; and fifth, that the factors of a composite GMa,n are of the form 2nfi+1 with fi≡umod4 with u=0, 1, 2 or 3 depending on the congruences of nmod4 and of amod8. The potential use of generalized Mersenne primes in cryptography is shortly addressed.

APA, Harvard, Vancouver, ISO, and other styles

40

CZÉDLI, GÁBOR, and EMIL W. KISS. "VARIETIES WHOSE TOLERANCES ARE HOMOMORPHIC IMAGES OF THEIR CONGRUENCES." Bulletin of the Australian Mathematical Society 87, no. 2 (August 8, 2012): 326–38. http://dx.doi.org/10.1017/s0004972712000603.

Full text

Abstract:

AbstractThe homomorphic image of a congruence is always a tolerance (relation) but, within a given variety, a tolerance is not necessarily obtained this way. By a Maltsev-like condition, we characterise varieties whose tolerances are homomorphic images of their congruences (TImC). As corollaries, we prove that the variety of semilattices, all varieties of lattices, and all varieties of unary algebras have TImC. We show that a congruence n-permutable variety has TImC if and only if it is congruence permutable, and construct an idempotent variety with a majority term that fails TImC.

APA, Harvard, Vancouver, ISO, and other styles

41

Holland, Jonathan, and George Sparling. "Null electromagnetic fields and relative Cauchy–Riemann embeddings." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2152 (April 8, 2013): 20120583. http://dx.doi.org/10.1098/rspa.2012.0583.

Full text

Abstract:

This paper applies the notion of relative Cauchy–Riemann (CR) embeddings to study two related questions. First, it answers negatively the question posed by Penrose whether every shear-free null rotating congruence is analytic. Second, it proves that, given any shear-free null rotating congruence in Minkowski space, there exists a null electromagnetic field that is null with respect to the given congruence. In the course of answering these questions, we introduce some new techniques for studying null electromagnetic fields and shear-free congruences, in general, based on the notion of a relative CR embedding.

APA, Harvard, Vancouver, ISO, and other styles

42

Viano, Samantha L., and Seth B. Hunter. "Teacher-principal race and teacher satisfaction over time, region." Journal of Educational Administration 55, no. 6 (September 4, 2017): 624–39. http://dx.doi.org/10.1108/jea-10-2016-0122.

Full text

Abstract:

Purpose The purpose of this paper is to replicate prior findings on teacher-principal race congruence and teacher job satisfaction and extend the literature by investigating trends over time and if the relationship between race congruence and teacher job satisfaction differs by principal race and region. Design/methodology/approach The study sample comes from four waves of cross-sectional data, the nationally representative Schools and Staffing Survey, administered between 2000 and 2012. The analysis is conducted using ordinary least squares and school-year fixed effects with a comprehensive set of covariates. Findings The relationship between race congruence and teacher job satisfaction is attenuating over time and is likely explained by the lower job satisfaction of white teachers who work for black principals. Some evidence indicates teacher-principal race congruence has greater salience in the Southern region of the country. Find evidence that teachers with race-congruent principals report more workplace support than their non-race congruent colleagues. Research limitations/implications Future studies should investigate why racial congruence has more salience in the Southern region of the country and for white teachers who work with black principals. At the same time, results indicate that teacher-principal race congruence might no longer be a determinant of teacher job satisfaction, although further studies should continue investigating this relationship. Originality/value Findings on the changing nature of the relationship between principal-teacher race congruence and teacher job satisfaction over time as well as the differing nature of race congruence in the Southern region of the country are both novel findings in the literature.

APA, Harvard, Vancouver, ISO, and other styles

43

Liang, Xiquan, Li Yan, and Junjie Zhao. "Linear Congruence Relation and Complete Residue Systems." Formalized Mathematics 15, no. 4 (January 1, 2007): 181–87. http://dx.doi.org/10.2478/v10037-007-0022-7.

Full text

Abstract:

Linear Congruence Relation and Complete Residue Systems In this paper, we defined the congruence relation and proved its fundamental properties on the base of some useful theorems. Then we proved the existence of solution and the number of incongruent solution to a linear congruence and the linear congruent equation class, in particular, we proved the Chinese Remainder Theorem. Finally, we defined the complete residue system and proved its fundamental properties.

APA, Harvard, Vancouver, ISO, and other styles

44

Caprara, Gian Vittorio, Claudio Spizzichino, and Clelia Romeo. "Trait congruence in the study of the cognitive consequences of emotional arousal." European Journal of Personality 3, no. 4 (December 1989): 285–98. http://dx.doi.org/10.1002/per.2410030405.

Full text

Abstract:

This study investigated the possible influence of mood and emotional vulnerability on recall. Mood was induced by projecting highly emotionally laden slides. In the first experiment, 64 female subjects, rated low or high on emotional vulnerability, were tested on recall of mood‐congruent, mood‐incongruent and neutral words, under mood induction and non‐mood induction conditions. Emotionally low‐vulnerable subjects recalled more mood‐congruent than mood‐incongruent words in the mood induction condition, whereas the opposite was the case in the non‐mood induction condition. Highly vulnerable subjects recalled more mood‐congruent than mood‐incongruent words in the non‐mood induction condition and fewer mood‐congruent words in the mood induction compared with non‐mood induction condition. The results are discussed in terms of ‘mood congruence’ (to explain low‐vulnerable (LV) subjects' performance) and in terms of ‘trait congruence’ (to explain highly‐vulnerable (HV) subjects' performance). In a second experiment, which investigated LV and HV subjects' galvanic skin responses to highly‐ and low‐emotionally laden slides, the highest values were those for HV subjects when exposed to emotional slides. The different activation of LV and HV subjects led us to reconsider previous reasoning regarding mood congruence and trait congruence in the light of the inverted U theory.

APA, Harvard, Vancouver, ISO, and other styles

45

Duda, Jaromír. "Factorable congruences and factorable congruence blocks on powers of a finite algebra." Czechoslovak Mathematical Journal 42, no. 1 (1992): 89–93. http://dx.doi.org/10.21136/cmj.1992.128309.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Garvan, F. G. "More cranks and t-cores." Bulletin of the Australian Mathematical Society 63, no. 3 (June 2001): 379–91. http://dx.doi.org/10.1017/s0004972700019481.

Full text

Abstract:

Dedicated to George Szekeres on the occasion of his 90th BirthdayIn 1990, new statistics on partitions (called cransk) were found which combinatorially prove Ramanujan's congruences for the partition function modulo 5, 7, 11 and 25. The methods are extended to find cranks for Ramanujan's partition congruence modulo 49. A more explicit form of the crank is given for the modulo 25 congruence.

APA, Harvard, Vancouver, ISO, and other styles

47

Chajda, Ivan. "Semiregularity of congruences implies congruence modularity at 0." Czechoslovak Mathematical Journal 52, no. 2 (June 2002): 333–36. http://dx.doi.org/10.1023/a:1021778612235.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Tang, Xilin. "Congruences on semigroups with the congruence extension property." Communications in Algebra 27, no. 11 (January 1999): 5439–61. http://dx.doi.org/10.1080/00927879908826766.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

FU, SHISHUO. "COMBINATORIAL PROOF OF ONE CONGRUENCE FOR THE BROKEN 1-DIAMOND PARTITION AND A GENERALIZATION." International Journal of Number Theory 07, no. 01 (February 2011): 133–44. http://dx.doi.org/10.1142/s1793042111004022.

Full text

Abstract:

In one of their recent collaborative papers, Andrews and Paule continue their study of partition functions via MacMahon's Partition Analysis by considering partition functions associated with directed graphs which consist of chains of diamond shape. They prove a congruence related to one of these partition functions and conjecture a number of similar congruence results. In this note, we reprove this congruence by constructing an explicit way to group partitions. Then we keep the essence of the method and manage to apply it to a different kind of plane partitions to get more general results and several other congruences.

APA, Harvard, Vancouver, ISO, and other styles

50

Petrich, Mario. "The kernel relation for a strict extension of certain regular semigroups." Glasgow Mathematical Journal 38, no. 3 (September 1996): 347–57. http://dx.doi.org/10.1017/s0017089500031785.

Full text

Abstract:

Let R be a regular semigroup and denote by (R) its congruence lattice. For , the kernel of pis the set ker . The relation K on (R) defined by λKp if ker λ = ker p is the kernel relation on (R). In general, K is a complete ∩-congruence but it is not a v-congruence. In view of the importance of the kernel-trace approach to the study of congruences on a regular semigroup (the trace of p is its restriction to idempotents of R), it is of considerable interest to determine necessary and sufficient conditions on R in order for K to be a congruence. This being in general a difficult task, one restricts attention to special classes of regular semigroups. For a background on this subject, consult [1].

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!