The aim of this modest study was to shed some light on one of

the useful tools of complex analysis, which is the method of conformal

mapping (Also called conformal transformation). Conformal

transformations are optimal for solving various physical and

engineering problems that are difficult to solve in their original form

and in the given domain. This work starts by introducing the meaning

of a ''Conformal Mapping'', then introducing its basic Properties. In the

second part, it deals with a set of various examples that explain the

behavior of these mappings and show how they map a given domain

from its original form into a simpler one. Some of these examples

mentioned in this study showed that conformal transformations could

be used to determine harmonic functions, that is, to solve Laplace's

equation in two dimensions, which is the equation that governs a variety

of physical phenomena such as the steady-state temperature distribution

in solids, electrostatics and inviscid and irrotational flow (potential

flow). Other mathematical problems are treated. All problems that are

dealt with in this work became easier to solve after using this technique.

In addition, they showed that the harmonicity of a function is preserved

under conformal maps and the forms of the boundary conditions change

accordingly

Contamination of wastewater by toxic metals is a global environmental concern. In this study, the possibility of using inactive (dead) Sargassum bacilluria powder as a natural adsorbent was investigated in the removal of cadmium from aqueous solutions. The biosorption process was found to be highly dependent on a set of variables such as pH, temperature, contact time, shaking speed and initial metal concentration. The results showed an optimum pH value, (6.0) for cadmium, where was the biosorption capacity (842.15±0.252) for cadmium, and the lowest biosorption value for Cd was found at pH 2.0. The optimum temperature in this study was 30 °C. The time required for equilibrium was investigated over a period of 360 min and found to be 180 min. The capacity of biosorption increased with increasing shaking speed, and the highest uptake value was found at 120 rpm. The maximum removal of Cd+2 was found at 20 mg/l. The models Freundlich and Langmuir were used to study the equilibrium process of these systems. The Langmuir model was found to be more suitable for the interpretation of these systems by the value of the correlation coefficients higher than 0.99. Brown seaweed powder is an effective, low-cost, .and environmentally friendly adsorbent for removing metals from aqueous solutions, according to the results obtained.

In this paper we want to describe the algorithm to find all good starting points for

iteration of 𝑁𝑝(𝑧) to find all the roots of 𝑝(𝑧) by quick and easy way. So in this paper

we have proved that all critical points go to the roots under iteration of Newton’s

function then it will be the good starting points for iteration of 𝑁𝑝(𝑧) .

ABSTRACT In this work, we show the theorem of the convolution of the Abaoub-Shkheam transform and employed it for solving one dimensional linear Volterra integral equations of the second kind.  

Factorial field experiment was done to estimate agronomic phosphorus use efficiency (APE) and partial factor productivity (PFP). The experiment was run in a private farm in Janzour area which is located west of Tripoli Libya in 2018. Two localized wheat genotypes (L1, and L2) and three rates of triple super phosphate fertilizer (0, 60, and 120) kg P2O5 ha-1 were used. The results indicated that both genotypes have good response to phosphate fertilization. APE and PFP achieved positive relationship with only 60 kg P2O5 ha-1 rate for both genotypes. Moreover, APE calculation showed positive relationship with increasing soil phosphorus test values, meanwhile, APE values was kept steady at 120 kg P2O5 ha-1 .

A floristic survey of Sedrores Al-Qawasim mountains in Gharyan district - Libya was conducted in two consecutive growing seasons from 01/04/2018 to 01/6/2019. In this study area, a total number of 320 plant species belonging to 214 genera were collected representing 44 families, of which 39 families and 276 species belonging to dicotyledons, and 5 families and 44 species are belonging to monocotyledons. The results showed the dominance of the family Asteraceae with 60 species, followed by the family Fabaceae with 32 species, then the family Poaceae with 29 species. The results showed the dominance of the (Euphorbia genus) with 7 species, followed by Helianthenum, Plantago and Erodium with 6 species each. Moreover, life-form spectrum analysis showed the predominance of therophytes with 210, followed by Hemicryptophytes with 59 species, while chorotype spectrum analysis showed the dominance of Mediterranian species with 151 species, followed by Mediterrean/Iranu-Turanean with 72 species. 

Shhoob Mohamed imhmed Elahmir, Mohammed H. Mahklouf, Mahmood B. Shanta, Hisham Ali Abo -Jaafer, (07-2020), كندا: J. of Advanced Botany and Zoology, 1 (8), 1-10