Compact Mathematics for Undergraduates: Formulas and Identities -Part I | Book Publisher International

Mathematics formulae are fundamentally important because they express abstract relationships and principles that enable generalization, precise communication, and problem-solving across diverse contexts. Their abstraction fosters deeper understanding and broad applications, both within mathematics and in scientific disciplines. Mathematics formulae arise from abstraction—a process that extracts the underlying structures and patterns from concrete problems. By moving from specific examples to generalized forms, formulae allow for broader applicability and reveal connections between different areas of mathematics. mathematical formulae are indispensable tools for abstract reasoning, generalization, effective communication, and advancing knowledge in both mathematics and the applied sciences.

 

Author(s) Details

Dr. Thiruchinapalli Srinivas
Audisankara Deemed to be University, Gudur Bypass, Gudur, India.

 

Please see the book here :- https://doi.org/10.9734/bpi/mono/978-93-88417-25-9

A Brief Account on Special Trilinear Functions and their Applications | Chapter 6 | Research Highlights in Mathematics and Computer Science Vol. 6

 Based on former works on distinguished bilinear functions (SBF), we present  their use in evaluating Chebyshev polynomials show the beauty of the SBF method. Then, as a generalisation of SBF, we define distinctive trilinear functions (STF) of three n-tuples vectors. Finally, any applications are likely, such as attractive the product of three polynomials of standard n, emphasising the fact that the process of calculating the product of three integers utilizing STF methods happens in a very efficient tone and with no stated exertion.  A short discussion on the future of the subject forms the conclusion of our study.

Author(s) Details:

Aesha A. Juroud,
Department of Mathematics, Alasmariya University , Zlitin, Libya.

Bashir W. Sharif,
Department of Mathematics, University of Tripoli, Tripoli, Libya.

Ali M. Awin,
Department of Mathematics, University of Tripoli, Tripoli, Libya.

Please see the link here: https://stm.bookpi.org/RHMCS-V6/article/view/9681

Determination of Chemical Characterization of Foeniculum vulgare Mill Essential Oil Composition and its Toxicological Effects against Mosquito (Aedes caspius, Pallas, 1771)| Chapter 5 | Cutting Edge Research in Biology Vol. 3

 In this division, the essential lubricate (EO) of the occurring in the air parts of Foeniculum vulgare Mill (Umbelliferae: Apiaceae) was gleaned by hydro-distillate. Thereafter, its synthetic arrangement was checked utilizing vapor chromatography (GC), and the description was acknowledged utilizing smoke chromatography-bulk spectrometry (MS).The toxicity of the EO was evaluated, following in position or time 24h of uncovering occasion, against the divide into four equal parts instar larvae of Aedes caspius and the sublethal and deadly concentrations, LC25, LC50 and LC90 principles were supposed accompanying their assurance limits and their values are 27.65, 37.76 and 70.40 l individually. Based on the judgments of the toxicity of F. vulgare EO, it maybe decided that the current pungent plant variety proved a abundant toxicological effect and grant permission offer a suitable give assistance the control of mosquitoes. This verdict opens up interesting potential for allure use in the production of new beginnings of different larvicidal alive stuffs for the management of pest headings.

Determination of Chemical Characterization of Foeniculum vulgare Mill Essential Oil Composition and its Toxicological Effects against Mosquito (Aedes caspius, Pallas, 1771)| Chapter 5 | Cutting Edge Research in Biology Vol. 3

 In this accessory, the essential grease (EO) of the feathered parts of Foeniculum vulgare Mill (Umbelliferae: Apiaceae) was wringed by hydro-entity shortened from whole. Thereafter, allure affected arrangement was quiet engaging mist chromatography (GC), and the manuscript was endorsed engaging seethe chromatography-most spectrometry (MS).The toxicity of the EO was deduced, following inclined or ending 24h of disclosing usefulness, against the separate into four equal parts instar larvae of Aedes caspius and the sublethal and giving small ground for hope concentrations, LC25, LC50 and LC90 society were dared following their assurance limits and their law are 27.65, 37.76 and 70.40 l individually. Based on the verdicts of the toxicity of F. vulgare EO, it likely persistent that the current lively plant class habitual a plentiful toxicological effect and permit an operation offer a appropriate present help the control of mosquitoes. This downfall opens up attractive potential for allure use in the blend of new inceptions of various larvicidal awake stuffs for the presidency of epidemic headings.

Author(s) Details:

Keffous Besma Safa,
Department of Biology and Animal Physiology, Research Laboratory of Improvement and Development of Animal and Plant Production, Ferhat Abbas University, Setif-19000, Algeria.

Aissaoui Lynda,
Department of Biology and Animal Physiology, Research Laboratory of Improvement and Development of Animal and Plant Production, Ferhat Abbas University, Setif-19000, Algeria.

Please see the link here: https://stm.bookpi.org/CERB-V3/article/view/9197

Improving Mathematical Skills in Geometry Using Visual Python | Chapter 5 | Recent Advances in Mathematical Research and Computer Science Vol. 1

We show students how to use computational modelling to better understand and apply mathematical concepts, especially when dealing with 3D objects like vectors and geometrical forms, in this chapter. Students can use the Visual Python (VPython) integrated development learning environment to construct numerous 3D objects such as arrows, spheres, and boxes without any prior coding experience. Students can develop their spatial thinking in a three-dimensional system by creating 3D arrows and manipulating them by adding or subtracting two or more vectors. The purpose of this research is to use computational modelling to assist students in improving their spatial thinking in geometry so that they may better grasp and apply mathematical concepts and solve issues. Students can use VPython to change the parameters of different vectors, their position, and assign different colours to them based on their preferences. They will also be able to determine the solution directly utilising mathematical formulas depending on some pre-given information. As a result, utilising VPython has the pedagogical benefit of allowing students to conduct more physical modelling and better describe processes, both of which aid in better understanding topics.

 

Author (S) Details

Ergi Bufasi
American University of the Middle East, Kuwait.

Klea Cuka
University of Tirana, Albania.

Erjona Keci
Istanbul American Schools, Turkey.

View Book https://stm.bookpi.org/RAMRCS-V1/article/view/4335

Study on Vector Operations Transform into Matrix Operations | Chapter 11 | Current Topics on Mathematics and Computer Science Vol. 6

 In this study, a valuable approach called "Vector operation Transforms into Matrix operation" (VTM) is devised to make vector algebraic and differential operations easier to manipulate. In the subject of vector analysis, an efficient technique is created to simplify computations. By converting vector algebraic and differential operations into matrix operations, the evaluation of these operations becomes more easy and straightforward. When vector operations involve multiple coordinate bases, the matrix operations are extremely beneficial.

Author (S) Details

Feng Cheng Chang
Allwave Corporation 3860 Del Amo Blvd, Torrance, California 90503, USA.

View Book :- https://stm.bookpi.org/CTMCS-V6/article/view/2591

Determination of Vector Borne Diseases of Blood Origin | Chapter 9 | Highlights on Medicine and Medical Science Vol. 16

 As an epidemiological group, vector-borne diseases continue to pose a major threat to human health and well-being, inflicting a severe and unacceptable public health burden on humanity. This chapter's goal is to examine several blood-borne vector-borne diseases, including their symptoms, medical laboratory diagnosis, treatment, and prevention. Much of the awful burden that mosquitoes and their arthropod allies wreak on people has been avoided in the developed world. their respective nations Malaria and dengue fever are endemic in the Western hemisphere, but the introduction of west Nile virus revealed that we can no longer remain complacent in the face of emerging and resurgent vector-borne disease. Unfortunately, as the burden and threat of vector-borne disease has grown, international public health institutions should strengthen their capacities to address them in countries around the world, particularly through the use of integrated vector management (IVM), which began in Nigeria and has spread to Africa and other parts of the world.

Author (S) Details

Ishaya Rinpan Jwanse
Health and Development Support Programme (HANDS), Jos, Nigeria.

Priscilla Ifeoma Agbalaka
Department of Medical Parasitology, Federal School of Medical Laboratory Science, Jos, Nigeria.

Obiora Reginald Ejinaka
Department of Medical Parasitology, Federal School of Medical Laboratory Science, Jos, Nigeria.

Uchejeso Mark Obeta
Department of Medical Laboratory Management, Federal School of Medical Laboratory Science, Jos, Nigeria.

Imoh Etim Ibanga
Department of Chemical Pathology, Federal School of Medical Laboratory Science, Jos, Nigeria.

View Book :- https://stm.bookpi.org/HMMS-V16/article/view/2394