Applied Sciences Research Periodicals

Divide-and-Conquer Strategy with LU Factorization for Inverting Symmetric Positive Definite Matrices

2024-11-26T18:50:38+00:00

We studied the solution of a system of equations Ax=b with singular and nearly singular, symmetric positive definite coefficient matrix A. Our algorithm based on, the Divide and Conquer strategy leading to the Divide-and-Conquer Algorithm (D&C algorithm) with, LU Factorization algorithm. The LU Factorization was used to convert the matrix into a product of the form LU, where L is a lower triangular matrix and U is upper triangular matrix. The algorithm was been implemented on MATLAB and simulated as a user-subroutine. The user-subroutine is considering MATLAB features for reducing the round-off error especially for sensitive systems. Numerical examples was given of a non- singular matrix and another for ill-conditioned matrix. The effect of round-off error was analyzed. We compared results with previous ones, where LU factorization is used.

Case Study on the Establishment of a Local Circular Economy Loop through Recycling School Uniforms in a Japanese Countryside

2024-12-26T03:01:05+00:00

The fashion industry is known for its significant contribution to global environmental deterioration. The production of clothes consumes tremendous amounts of water and energy, and clothes, usually discarded within a short time, end up in landfill sites and generate secondary environmental pollution. In Japan, the school uniform culture continues to be widely followed and does not meet the global consensus on circular economies. Used uniforms are tucked away at the back of a wardrobe or discarded, although they remain in perfectly good condition. This is a case study of a uniform recycling loop first established by a university and subsequently transferred to a private company. Internet searches and questionnaire surveys were conducted to explore common perceptions of uniforms. In Japan, uniform costs are at least 700 USD when enrolling in public junior high schools. The findings showed that the parents of students strongly supported the uniform recycling project and were willing to pay up to 30% of the original price of uniforms if they were in a good condition.

Palliative Care for Cancer

2024-12-26T11:54:19+00:00

There are various studies on the anticancer effect of linoleic acid which also has soothing and hydrating effects. My idea is to create a substance with the right proportions of linoleic acid and biokeratin extracted from chicken feathers. In particular, to dissolve a right percentage of biokeratin in linoleic acid and create a substance to be oxidized and/or reduced using the equipment described in a scientific article of mine in order to hypothesize as a final substance a vaccine and a cure for tumors to be associated with chemotherapy. My hypothesis of a vaccine and/or cure for tumors is proposed starting from biological agents such as linoleic acid and biokeratin which, mixed together in the right proportions and subjected to an oxidation and/or reduction process as described in my article, could give life to biological vaccines and biological supplements to be associated with chemotherapy in cancer patients.

Assessment of the Effects of Human Settlements on Quality of Ground Water Sources in Lamu Island, Kenya

2024-12-31T17:20:02+00:00

Fresh water is a naturally occurring resource that is found in wells, springs and underground. Its quality is of paramount importance to its domestic and agricultural related activities. The population of Lamu Island in Kenya, has settled and developed along the sand dunes which are the sources of freshwater.The activities they engage has affected the fresh water quality and quantity. Ten (10) water samples from the 34 shallow wells aquifers were analysed for physical, chemical and biological from the southern and northern zone respectively. The analysis results showed that the wells found in the Southern zone of aquifer were more contaminated than the Northern zone wells, based on the descriptive and experimental designs used. Comparatively the Electrical conductivity of the Southern zone wells were significantly higher than the Northern zone wells at 95% Confidence Interval. The demand for fresh water is higher than the supply thereby forcing the authorities to impose water rationing. The study recommends that the Lamu County government develop policies that ensures the sources of fresh water are protected and human settlements are far off from the fresh water aquifer

Determination of Sodium in Enoxaparin Sodium (Heparin) by Atomic Absorption Spectrometry

2025-01-08T17:15:20+00:00

Enoxaparin sodium is the salt of a low-molecular-mass heparin that is used to treat thrombotic disorders. Initially approved by the FDA in 1993, it is administered by a subcutaneous or intravenous injection and marketed by the several pharmaceutical companies. The U.S. Pharmacopeia (USP) and U.S. Food and Drug Administration (FDA) have worked extensively to modernize the unfractionated heparin and enoxaparin monographs. This paper reports the development of the determination of Na in Enoxaparin Sodium (Heparin) by flame atomic absorption spectrophotometry. The method is convenient, and the results show good precision and accuracy. The sodium amount has been found 5.09 ppm (mg/Kg). Correlation coefficient (R²) of 0.9978. The relative standard difference (%RPD) is 1.55% and the rate of recovery is 100.8%. The results show that the concentration of Na meets the USP specifications.

Conservation of Energy and Momentum of the Photons

2025-01-12T22:51:22+00:00

In this short communication, conservation of energy and momentum of the photons is described briefly in the differential form, whereby the percentage change in energy due to changing wavelength of scattered or emitted light can be found directly from the known wavelengths of light.