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Journal of Mathematical and Fundamental Sciences Vol. 52 Issue 2 2020

Vol. 52 No. 2 (2020)

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Explore peer-reviewed research articles published in this issue.

researchpp. 133–133

Restricted Size Ramsey Number Involving Matching and Graph of Order Five

Harary and Miller (1983) started the research on the (restricted) size Ramsey number for a pair of small graphs. They obtained the values for some pairs of small graphs with order not more than four. In the same year, Faudree and Sheehan continued the research and extended the result to all pairs of small graphs with order not more than four. Moreover, in 1998, Lortz and Mengenser gave the size Ramsey number and the restricted size Ramsey number for all pairs of small forests with order not more than five. Recently, we gave the restricted size Ramsey number for a path of order three and any…

Keywords
restricted size Ramsey number matching graph with no isolates
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researchpp. 143–143

Classification and Dynamics of Class of ξ(as)-QSO

The current study provides a new class of ξ(as)-QSO defined on 2D simplex and classifies it into 18 non-conjugate (isomorphic) classes. This classification is based on their conjugacy and the remuneration of coordinates. The current study also examines the limiting points associated with the behavior of trajectories for four classes defined on 2D simplex.

Keywords
fixed point limiting point quadratic stochastic periodic point x (as)-QSO
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researchpp. 174–174

Rational Design, Synthesis and Cytotoxic Activity of N-(Phenylcarbamoyl)Benzamide on HeLa Cell Lines

Urea derivatives are extensively used in the pharmaceutical industry. However, the unsatisfactory level of their membrane penetration requires further modification of the structures with stronger lipophillic properties. Phenylurea has a phenyl group that enables easier membrane penetration as a result of stronger pharmacological activity. Activity prediction was conducted by docking experiments and molecular dynamics, performed with Molegro Virtual Docker 5.5 using checkpoint kinase 1 (CHK1) enzyme with ID PDB: 2YWP. ADMET prediction was applied to collect data using the pkCSM tool. N-(phenyl…

Keywords
ADMET cytotoxic test molecular docking molecular dynamics N- (phenyl carbamoylbenzamide synthesis
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researchpp. 189–189

Hankel Inequalities for a Subclass of Bi-Univalent Functions based on Salagean type q-Difference Operator

In this investigation a new subclass of bi-univalent functions is established that is defined in the open unit disk Δ={𐌶 ∈ ℂ: |𐌶| < 1} and are endowed with the Sălăgean type q-difference operator. Then, Hankel inequalities for the new function class are obtained and several related consequences of the results are also stated.

Keywords
bi-univalent coefficient bounds convex functions Hankel inequalities Starlike univalent
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researchpp. 202–202

Synthesis of Oligosuccinimide and Evaluation of Its Corrosion Inhibition Performance on Carbon Steel in CO2-Saturated 1% NaCl Solution

Oligosuccinimide (OSI) is an oligomer with several repeating units of succinimide. In this study, OSI was synthesized by thermal condensation between maleic anhydride and ammonium carbonate. The chemical structure of the synthesized compound was confirmed by FTIR and NMR spectroscopy as well as LC-MS characterization. Evaluation of its performance as corrosion inhibitor and the adsorption mechanism on a carbon steel surface in CO2-saturated 1% (w/v) NaCl solution was performed using electrochemical techniques (electrochemical impedance spectroscopy (EIS) and potentiodynamic polarization) and…

Keywords
adsorption isotherm carbon steel corrosion corrosion inhibitor EIS inhibition efficiency oligosuccinimide potentiodynamic polarization weight loss
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researchpp. 222–222

Spectral Analysis of Proton-Irradiated Natural MoO3 Relevant for Technetium-99m Radionuclide Production

Due to the declining number of available nuclear reactors capable of Tc-99m production and tight regulations related to uranium enrichment, cyclotron-based Tc-99m production has recently been suggested as a new method to help ease Tc-99m supply shortages. In this investigation, a solid natural MoO3 target was irradiated using 11-MeV proton beams at variable proton doses. The proton doses were varied by varying the irradiation time while keeping the proton beam current constant at 20 µA. At the end of the bombardment, the post-irradiated solid MoO3 targets were analyzed for their radioactive…

Keywords
Due to the declining number of available nuclear reactors capable of Tc-99m production and tight regulations related to uranium enrichment cyclotron-based Tc-99m production has recently been suggested as a new method to help ease Tc-99m supply shortages
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researchpp. 232–232

Stratigraphic Model of East Biak Based on Magnetotelluric Data

Biak Island is thought to have originated from the Australian Continental passive margin in the Mesozoic. This passive margin underwent tectonic collision to form the bedrock of Biak Island during the Paleogene. East Biak is covered by limestone, which is an obstacle to knowing the deeper stratigraphy. This study

Keywords
East Biak magnetotellurics resistivity stratigraphic model unconformity
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