iosr-Jm   Volume-20 ~ Issue-5 ~ Sep. – Oct. 2024

Abstract : In this paper, we investigate some intertwining sets and quasi-affine sets of some classes of operators in Hilbert spaces. We are interested in the intertwining relation of the form WX = XR, where W, R are some bounded linear operators and X is an arbitrary bounded linear operator which we will endow some special properties.
2010 Mathematics Subject Classification: Primary 47A05,47A11; Secondary 47B20,47A65.

Key words:characteristic function, spectral radius, unitary, completely non- unitary .

[1]. A. Anderson and R. Camporesi, Intertwining operators for solving differential equations, with applications to symmetric spaces, Comm. Math. Phys. 130 (1990), 61–82.
[2]. F. Bagarello, Intertwining operators for non-self-adjoint Hamiltonians and bicoherent states, J. Math. Phys. 57(10) (2016), 1–29.
[3]. S.L. Campbell, Linear operators for which T ∗T and T + T ∗ commute, Pacific J. Math. 6(1) (1975), 53–57.
[4]. S. Clary, Equality of spectra of quasi-similar hyponormal operators, Proc. Amer. Math. Soc. 53(1) (1975), 88–90.
[5]. M. R. Embry, Conditions implying normality in Hilbert spaces, Pacific J. Math. 18 (1966), 457–460..

Abstract : why 0 and 1 are true will be explained Introduction:we will try to give a new explanation Main body:Suppose static energy of body a is 90 calories. Now 090=0+90
If we take 0as true then It becomes true +90=true 90 Again 1*90=90.....

....

Abstract : Let G be a simple, finite, connected, undirected, non-trivial graph with 𝑝 vertices and 𝑞 e......dges

Keywords: Graceful labeling, Arithmetic sequential graceful labeling, Grid graph, one side arrow graph, double-sided arrow graph.

[1] Barnes, J. A., & Harary, F. (1983). Graph Theory In Network Analysis. Social Networks, 5(2), 235-244.
[2] Rosa, A. (1967). On Certain Valuations Of The Vertices Of A Graph, Theory Of Graphs (Internat. Symposium, Rome, July 1966).
[3] Gallian J A, "A Dynamic Survey Of Graph Labeling", The Electronic Journal Of Combinatorics, (2020), Pp. 77-81.
[4] V J Kaneria1 , Meera Meghpara , H M Makadia Pasaribu, Graceful Labeling For Grid Related Graphs, International Journal Of Mathematics And Soft Computing, Vol.5, No.1 (2015), 111 - 117. DOI:10.26708/IJMSC.2015.1.5.13
[5] V. J. Kaneria, H. M. Makadia And M. M. Jariya, Graceful Labeling Of Arrow Graphs And Double Arrow Graphs, Malaya J. Mat. 3(4)(2015) 382–386.

Abstract : Leukemia is a cancerous and progressive disease that affects the myeloid and lymphoid cells of the bone marrow. It causes a lot of problems for families, patients as well as the healthcare systems around the world. This study investigated how adoptive T - cell therapy affects the growth of coexistence of Acute Myelogenous Leukemia (AML) and Chronic Lymphocytic Leukemia (CLL) in a single patient. The methodology involves the development of both classical and fractional differential systems to analyze the coexistence of CLL and AML in a single patient. The numerical simulations were also performed to confirm the results of the analysis. The studies showed that the concentration levels of both types of leukemia cells were very high before the introduction of immunotherapy of the adoptive T cells. The disease free and endemic equilibrium points were proved to be globally asymptotically stable......

Keywords: Lymphocytic, Myeloid, Leukemia, Reproduction Number, immunotherapy.

[1] J. Selade-Schulman And M. Soliman What Is Leukopenia Or Low Blood Cell Count. Healthline Media Llc, (2023);
Https://Www.Healthline.Com>Health
[2] Anon., Low White Blood Cell Count, Healthgrade Editorial Staff. Https://Www.Healthgrades.Com/Right-Care/Blood-Conditions/Low-White-Blood-Cell-Count, (2018). Access: June 1, 2020
[3] N. Brent, A Mathematical Model Of Chronic Myelogenous Leukemia", University College, Oxford University, (2000)
[4] A. Manju, And S. B. Archana,, Mathematical Modeling And Analysis Of Leukemia: Effect Of External Engineered T Cells Infusion, Applications And Applied Mathematics, An International Journal (Aam), Issue 1, (2015), Vol.10, Pp. 249 – 266. Access: November 19, 2019.
[5] Y. Wu, S. Liu, D. Wang, X. Yao, Acute Myeloid Leukemia Secondary To Chronic Lymphocytic Leukemia After Prolonged Chlorambucil Therapy: A Case Reportpharmacogenomics And Personalized Medicine 2023:16, Pp. 401–405.

Abstract : In the present paper an attempt has been to express the polynomial set Bn(x1, x2, x3) in terms of . Many interesting new results may be obtained as particular cases on specializing the parameters. Out of these particular results some of the stand for well known polynomials and some of them are believed to be new. These polynomials are of outmost importance for science and engineers because they occur in the solution of differential equation. integral equation etc. Which describe physical problem. Many orthogonal polynomial have their wide application in quantum mechanics chemical kinetics and electromagnetic theory etc.

Keywords: Hypergeometric Polynomial, Lauricella functions, Orthogonal Polynomial, Generatin relation, Integral Equation.

[1] Singh Amrita......

Abstract : The outpatient department (OPD) is the first point of contact in all hospitals, and patients create opinions about the hospital based on the quality of service they receive at OPD. The purpose of the study is to develop a Statistical model to forecast outpatient attendance at Marimanti Level 4 Hospital using SARIMA modeling. Monthly outpatient visits data obtained from Marimanti level 4 hospital (from January, 2013 to December, 2023) was used in the study.......

Keywords: SARIMA Model, Forecasting, Information Criteria, Accuracy, Outpatient Visits

[1] Baharsyah, N.A & Nurmalasari, M (2020). Patients Visits Forecasting At Emergency Department Using Arima And Exponential Smoothing Method In Rsud Kembangan. Scitepress (January), 234-239.
[2] Bergs J., Haerinck, P., & Verelst S. (2014). Knowing What To Expect, Forecasting Monthly Emergency Department Visits: A Time Series Analysis. International Emergency Nurse, 22(1), 112-115.
[3] Borbor B.S. (2020). Modeling And Prediction Of Outpatients' Department On Hospital Attendance At The Cape Coast Teaching Hospital Using The Box-Jenkins Arima Model. Journal Of Advances In Mathematics And Computer Science, 35(8), 1-12
[4] Borbor, B.S., Bosson-Amedenu, S., & Gbormittah, D.D. (2019). Statistical Analysis Of Health Insurance And Cash And Carry System In Cape Coast Teaching Hospital Of Ghana: Sci. J. Appl. Math. Stat,7(3), 36-44.
[5] Box, G. E., Jenkins, G. M., Reinsel, G. C., & Ljung, G. M. (2015). Time Series Analysis: Forecasting And Control. John Wiley & Sons.

Abstract : Image Registration is the process of straightening two or more images of the same scene with testimonial to a particular image. The images are captured from various sensors at different times and at multiple viewpoints. Thus, to get a better picture of any change of a scene/object over a considerable period of time image registration is important. Image registration finds application in medical sciences, remote sensing and in computer vision. This paper presents a detailed review of several approaches which are classified accordingly along with their contributions......

Keywords: Fast Fourier transformation, Image registration, classification, contribution, drawback, performance measures, registration quality, accuracy, future research

[1]. J.W. Cooley And J. W. Tukey, "An Algorithm For The Machine Computation Of The Complex Fourier Series," Math.Of Computation, Vol. 19, April 1965, Pp. 297-301.
[2]. Program (Ncep) Expert Panel On Detection, Evaluation, And Treatment Of Highblood Cholesterol In Adults (Adult Treatment Panel Iii) Finalreport. Circulation. 2002;106(25, Article 3143).
[3]. R.N. Bracewell, "Discrete Hartley Transform", J.Opt. Soc. Amer., Vol. 73, No. 12, Pp. 1832–1835, 1983.
[4]. Frigo, M. And Johnson, S. G, "Fftw: An Adaptive Software Architecture For The Fft", Icassp Conference Proceedings, 3:1381-1384, 1998.
[5]. Ganapathiraju, A. Et.Al, "Contemporary View Of Fft Algorithms", Proc. Of The Iasted, Pp. 130-133,1998.

Abstract : ......

.....

Abstract : ......

.....