APAV - Academy of Sciences, Letters, Arts and Technology (E-Journals)
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B-Gabor type frames in separable Hilbert spaces
Full text linkIt is guaranteed that Gabor like structured frames do exist in any finite dimensional Hilbert space via an invertible map from l2(ZN) J Thomas and Nambudiri [2022]. Hence the question: whether it is possible to obtain structured class of frames in separable Hilbert spaces? is relevant. In this article we obtain a structured class of frames for separable Hilbert spaces which are generalizations of Gabor frames for L2(R) in their construction aspects. We call them as B-Gabor type frames and present a characterization of the frame operators associated with these frames when B is a unitary map. Some significant properties of the associated frame operators are discussed
On pseudo regular spherical fuzzy graphs
Full text linkIn this paper, pseudo regular and totally pseudo regular spherical fuzzy graphs are defined using pseudo degree and total pseudo degree of a vertex. A necessary and sufficient condition for pseudo regular spherical fuzzy graph is given. Some properties of pseudo regular and totally pseudo regular spherical fuzzy graphs are derived. Theorems related to these concepts are stated and proved
Linear predictor and autocorrelation for noisy and delayed digital signal
Full text linkThis paper deals with the association between the linear prediction and digital signal modeling and ends up with the suitable ways to predict the signal by considering a stationary signal . The linear prediction of signal modeling based on the finite past and the solutions are arrived in a recursive manner. Further we analyzed the wiener filter along with spectral theorem and autocorrelation in terms ofpredictive analysis.This estimates the gap function along with delay and noise. The delayed signal’sproperties are analyzed like causal, stability and applied these into optimum filtering. Finally the predicted error is compared with linear predictor and Wiener filter. Then transfer function is applied to estimate the interval function and gap function along with delay
Nature as a preferential habitat in growth and socialisation processes in autism. A structured intervention
Full text linkDysfunctionality in socialisation is undoubtedly the most crucial characteristic of autism. For a long time, social functioning and its improvement have been considered among the most important interventions in the literature. Individuals with autism are responsive to therapist-mediated and/or peer-mediated interventions that increase their social engagement. The present study examines the impact of outdoor integrated activities, such as music therapy, equine-assisted therapy, and art therapy, in autistic individuals (n=14). The analysis was carried out on the application of a questionnaire assessing three social skill domains: Joint Attention (JA), Imitation (IMI), and Turn-Taking (T-T) mediated by the therapists and by peers. The development and acquisition of these social behaviours were examined in a structured outdoor context (ASO). Data were collected by two independent observers by White's Scale questionnaire. The results revealed that the proposed interventions facilitated and led to an increase in social-behavioural experience
Robust Fuzzy Graph
Full text linkThe idea of fuzzy graphs is crucial for dealing with uncertainty inday-to-day living situations. In this work, we have a present a workfuzzy graph associates with robustness model that’s easy, flexible, andsimple. With this model, we have a tendency to address the examinationplanning downside below uncertainty supported. Randomnessand unclearness are two very separate types of uncertainty in knowledge.This study bridges resilient fuzzy graphs and addresses everytype of uncertainty in higher cognitive processes. In this paper we introducea type of fuzzy graph relating with robustness is called robustfuzzy graph and some of its properties. Robust fuzzy graph becomesa best tool in evidence theory for calculating belief functions, plausibilityfunctions, spanning functions etc
Is it correct to speak of a sociological research method when using the autoethnographic approach?
Full text linkWhat are the critical issues of using autoethnography in social research? Is it really a research method that enables sociologically grounded research? And what might be the reasons for such a pronounced interest of a section of social researchers in this type of tool? This paper highlights some marked critical issues with this approach, identifying it predominantly in the field of storytelling and literature rather than in the field of sociology. In addition to this, it points out the absence of the same basic assumptions for it to be considered a scientific research method
New existence results on Caputo Fractional derivative with non-linear Integral conditions via Fixed Point theorems
Full text linkIn this article, we investigate the sufficient conditions for the existence of solutions to a Caputo fractional derivative with a class of boundary value problem dependence on the lipschitz first derivative conditions in Banach Space. Our main tool is a fixed point theorem. An numerical example is given to clarify the results
Non Deterministic Zero Divisor Graph
Full text linkA non-deterministic zero divisor graph refers to an element in a ring or algebraic structure that can multiply with another element to give zero, but the specific outcome of the multiplication is not uniquely determined. In other words, there may be multiple elements that can multiply with the given element to produce zero. This concept is typically encountered in non-commutative rings or algebras where the order of multiplication matters. In such structures, the existence of non-deterministic zero divisors can complicate calculations and lead to different results depending on the order of operations. In this paper, we examine that all the zerodivisor graphs are nondeterministic graph but the converse need not. We manifest the nondeterministic zero divisor graph is possible only with nonprimes. Hereby, we study about weighted graphs, Weiner index and golden ratio rule. Also we provide an algorithm for zero divisor graph of n parameters and thereby, explore the given graph is either deterministic or nondeterministic graph using python
Cactus Graphs with Cycle Blocks and Square Product Labeling
Full text linkIn many real world problems, cactus graphs were considered as models from both algorithmic and theoretical point of view and this graph is a subclass of planar graph and superclass of a tree. In this article, the study has been carried out on some cactus graphs with cycle blocks for obtaining results on square product labeling.
New Thermodynamics: Pictet, Epistemology and Philosophy
Full text linkPictet’s experiment was front and center in the 18th/19th century debate concerning whether heat is a wave, or a particle. Pictet’s experiment is best understood by realizing that thermal radiation energy plays a significant role in heat transfer. It is argued that this readily ignored experiment should have long ago alerted us to issues concerning our understanding of thermodynamics.This questions the rationale behind modern statistical thermodynamics, which describes all of a gaseous system’s energy purely in terms of the kinematics of that system’s gas. Not only is the philosophy of statistical mechanics now questioned but so too are those associated with entropy and its mathematical accomplice the second law.After raising questions, a simpler explanation as to what is witnessed will be discussed. An explanation that relegates statistical mechanics to a valid approximation for sufficiently dilute closed systems of gas, such as those often used in experiments. An explanation that remains void of the mathematical simplifications that statistical mechanics provides.Ultimately, the accepted epistemology of our sciences will be verbally challenged