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On Polian Algebras
No full textIn this paper, polian algebras are introduced. Their properties are investigated. Left absorbing, right absorbing as well as absorbing polian algebras are studied. Manifolds and equipotence are introduced and studied in polian algebras. Moreover, hyperbolic polian algebras are introduced and their properties are investigated
NUMERICAL APPROXIMATION OF SINGULAR MULTI-ORDER FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS BY LEAST SQUARES AND AKBARI-GANJI'S METHODS
No full textThis article is concerned with the numerical solution of singular multi-order fractional Volterra integro-dierential equations. Two numerical methods are proposed; Least Squares and Akbari-Ganji's Methods using Legendre polynomials as basis functions. The proposed methods were demonstrated on some examples to verify their practicability and the results obtained were very close to the exact solution
QUASI-SYMMETRIC POLYNOMIALLY BOUNDED FReCHET ALGEBRAS
No full textThis paper concerns the notion of a symmetric algebra and its generalization to a quasi-symmetric algebra. We study the structure of these algebras in respect to their hull-kernel regularity and existence of some ideals, especially the hull-minimal ideals. An immediate application of our results is to the Harish-Chandra Schwartz Frechet algebras, Cp(G), of a (connected) semi-simple G
COLLATERAL-FREE FINANCING AND FINANCIAL INCLUSION FOR SMES IN LAGOS STATE: AN INVESTIGATION
Get PDFThis study investigated the effect of collateral free financing on small and medium scale enterprises, with a particular focus on the impact of the Agricultural Credit Guarantee Scheme Fund (ACGSF) and Small and Medium Enterprise Finance (SMEF). Employing regression analysis and Granger causality tests on data from 1981 to 2023, the study finds that the ACGSF positively and significantly influences financial inclusion (coefficient = 0.40057, p = 0.00111), suggesting that government-backed credit schemes in agriculture enhance access to financial services in underserved areas. However, SMEF reveals a negative association with financial inclusion (coefficient = -0.050913, p = 0.0126), indicating that current MSME financing frameworks may be insufficiently inclusive, potentially due to high borrowing costs and sector-specific structural challenges. High-interest rates further impede financial inclusion, while favorable exchange rates are shown to have a positive effect, pointing to the role of currency stability in supporting financial accessibility.
Granger causality tests indicate a unidirectional causality from both ACGSF and SMEF to financial inclusion, underscoring the long-term effects of these financing mechanisms on access to financial services. The study concludes that while agricultural credit schemes promote financial inclusion, revisions to SME finance policies are essential to optimize inclusivity goals. Key recommendations include enhancing agricultural credit schemes, redesigning SME financing models, lowering borrowing costs, and ensuring exchange rate stability to promote an inclusive financial landscape. This research contributes to the existing knowledge on financial inclusion by highlighting the differential impact of credit schemes on financial accessibility in Nigeria, providing empirical insights for policymakers to develop targeted interventions in similar emerging economies
ERGODIC THEOREM FOR QUANTUM DYNAMICAL SEMIGROUP ON DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP
No full textIn this work, we study ergodic theorem for quantum dynamical semigroup on decoherence-free subalgebra of quantum Markov semigroup. A quantum dynamical semigroup of non-expansive maps which has at least one stationary point was established on decoherence-free subalgebra.The measurability of the semigroup was then used to ensure the weak convergence of the Cesaro means to a stationary point
ESTIMATES OF SECOND AND THIRD HANKEL DETERMINANTS FOR BAZILEVIC FUNCTION OF ORDER GAMMA
No full textIn the recent time, the study of Bazilevic functions became so popular that researchers, especially in Geometric Function Theory, have had to study different subclasses of Bazilevic functions in different directions. How- ever, their study seem to lack full stamina addressing relevant connections of Bazilevic functions to some properties such as coefficient bounds, sharp bounds of the Fekete-Szego functional as well as the Hankel determinants for functions belonging to some specific subclasses of Bazilevic functions. Consequently, in this article, with the aid of Salagean derivative operator, the author derived the Bazilevic class Tnα(γ), of order γ, type α, via the convolution of the fractional analytic function g(z)α and the normalized univalent function f (z) in the open unit disk. In the sequel, sharp bounds on the Taylor-Maclaurin coeffi- cients ak(α) for functions belonging to the aforementioned class were obtained while the relationship of these bounds to the classical Fekete-Szego inequality H2(1) and Hankel determinants H2(2) and H3(1) were established using a clear Mathematical approach. Some of the consequences of the results so obtained were discussed as corollaries
From Historical Fiction to Historiographic Metafiction: Lawrence Hill’s The Book of Negroes as Deviant Literature
No full textScholars have debated the classification of the African American literature as a plain historic text, which further stimulates the controversy between history and literature. It is on this presumption that this paper critically explored Lawrence Hills’ The Book of Negroes, more as a subversive text, which is constructively predisposed to certain postmodern stylistic techniques. While amplifying obtrusive matters that still affect the black race in contemporary American society, it is observed that Hill employs Historiographic Metafiction to creatively reconceptualise the narrative of African American slave history. By implication, the fictional mode in The Book of Negroes deconstructs a fixed categorisation of historical hermeneutics of African American slave narratives, as limited to the issues of slavery, captivity, racism, oppression, and so on. While using qualitative approach as methodology, Jacques Derrida’s Deconstruction served as theoretical framework, complemented by Linda Hutcheon’s conception of historiographic metafiction. As a stylistic import, this paper submits that historiographic metafiction is substantiated as a counter-discourse against the lopsided criticism that deprecates black history and literary artistry as immaterial. With reference to its literary originality, The Book of Negroes is therefore categorised as a deviant form of black writing in contemporary times
Yoruba Indigenous Advertising: A Preliminary Report
No full textTraditionally, the Yoruba do not use stalls, shops, or malls for carrying out buying and selling activities. Instead, they operate open market systems that come up at specific intervals of days when people converge at a designated place, usually a market square, where all forms of trading activities take place. There is also street hawking where individual traders go about with their wares and advertise them for patronage. However, this Yoruba indigenous advertising and marketing has not been thoroughly studied. Very few research works on indigenous advertising are found only in a few literary texts. Over the years, indigenous dynamics of market transactions between sellers and buyers have been eroded by new advertising strategies, and this has continued to throw the traditional method into oblivion, which has created a gap in the indigenous knowledge production. On the foreign scene, many scholars have largely explained the relationship that exists between language and advertising, especially in the Western world. This paper, therefore, focuses on the indigenous nature of advertising across Yorubaland[1] where diverse traditional formats and strategies are utilized to entice potential buyers to purchase advertised goods. These advertising dynamics are carefully presented in ways that easily appeal to buyers. The study presents different types of goods/products and services that are advertised vis-à-vis the sociological and linguistic features of such advertised products. The classification of the advertising mechanisms is based on the various (descriptive, beckoning, deceptive, etc.) ways through which goods and services are advertised. Data collection points were divided into seven Yoruba zones based on their proximity and dialect delineation using Mixed Research Methodology. Interviews and observations were also carried out to obtain data for the analysis. The paper demonstrates that there is a high degree of interdependence between sellers and buyers in Yoruba indigenous advertising as advertisers rely on their language-use dexterity and communicative competence to attract buyers. Findings also show that trade advertising using the speech form of a language of the people is key to successful business transactions.
 
INFORMATION AND COMMUNICATION TECHNOLOGY (ICT): AVAILABILITY AND EFFECTS ON SECONDARY SCHOOL STUDENTS’ ACADEMIC PERFORMANCE IN KOGI STATE, NIGERIA
No full textThe study examined Information and Communication Technology (ICT): Availability and Effects on Secondary School Students’ Academic Performance in Kogi. Four objective questions were examined. A survey research method was employed. The total sampled for the study were 450 respondents. A validated 48 items research designed questionnaire was used to data from the respondents. The questionnaire was pilot tested and Cronbach Alpha reliability coefficient was used to analysis the data that yielded 0.91. The data generated were analyzed using simple percentage and mean. The result revealed that ICT gadgets available to secondary school students were majorly mobile phones, televisions, computers, laptops, palmtops, tablet, gaming devices and the internet; students often engaged with ICT gadgets such as phones, tablets, televisions, desktop computers, smartwatches, gaming devices, internet, cable networks, MP3/4 devices, USB flash drives and SD cards; the identified types of activities and its effect on secondary school students’ academic performance include cheating during exam, visiting none educational site during assignments, viewing pornographic content, frequent download of music and games, excessive viewing of television and listening to series recorded music using mp3 and mobile phones, watching of movies, distracting them during class hours, and social media; and ICT use influenced secondary school students’ study habit in Kogi State. The study recommended among others that secondary schools’ authority should ensure that coming to school with these gadgets are prohibited. The study concludes that while there are effects associated with ICT concerning secondary school students' performance, it is vital to recognize that responsible usage and effective management can mitigate these effect
EFFECT OF BRAIN-BASED LEARNING STRATEGY ON ACADEMIC PERFORMANCE & RETENTION AMONG SECONDARY SCHOOL GEOGRAPHY STUDENTS IN KATSINA STATE-NIGERIA
No full textThe study investigated the effect of Brain-Based Learning Strategy on Academic Performance and Retention among Secondary School Geography students in Katsina State, Nigeria. The study developed four research objectives and tested four null hypotheses. The study adopted Quasi-experimental research design. The population of the study comprised of 6,623 Geography students from 21 public Secondary Schools in Katsina Zonal Education Quality Assurance. 122 students from 2 intact classes of SS II were sampled for the study using cluster sampling technique. A validated Geography Performance Test (GPT) was used for data collection with reliability coefficient of 0.82 using Pearson Product Moment Correlation. The experimental group was taught using Brain-Based Learning strategy while the control group was taught using lecture method. The null hypotheses were tested using t-test independent and Mann-Whitney U-test Statistics at p ≤0.05 level of significance. The major findings of the study revealed that there was a significant difference in the mean performance and retention level between those taught using Brain-based learning strategy and those taught using lecture method, the study concluded that the students taught Geography using Brain-based learning performed significantly far better than those taught using lecture method and that Brain-Based learning is gender friendly. Based on the findings, the study recommended among others that Geography teachers should adopt the used of Brain-based learning to improve students’ academic performance and retention