Binomial system is a system of analysis which involves two chances or possible outcomes of event which are the extreme ends of such event. In real life, there exists the mid or intermediary chance or possible outcome of some events if not all events making the possible outcome of such events to be three. For this scenario or instance, a trinomial system of analysis would be applicable. There is need to develop a model to analysis such scenario of trinomial system. This research work pres...
Mathematical Induction is a mathematical procedure of proving an established mathematical formulas, equations or theorems in order to validate and declear such formulas, equations or theorems to be true. There is need to present mathematical induction of mathematical fact so as to inbuilt more confidence in the established fact. This study makes available the mathematical induction of the constituents of Kifilideen trinomial theorem of negative power of – adopting series and sequence id...
The four figures of power of base numbers tables is need to be created for easy synchronization with existing Logarithm table of power of base 10 which is working on four figures. Although the five figures of power of base numbers tables is more accurate because it is having less approximation in its establishment. The four figure tables is easy to compute doing utilization because it is having less digit to work with. This paper presents the four and five figures of Kifilideen (Power of ...
The positive power of Kifilideen trinomial theorem based on matrix and standardized approach had been developed and implemented alongside the general power combination formula which helps to determine the terms in the kifilideen expansion of positive power of n of trinomial expression. This study inaugurated negative power of − n of kifilideen trinomial theorem using standardized and matrix methods. Matrix was used in this research work to arrange the terms of the series of the negative...
The use of binomial theorem to expand trinomial expression of particular power n requires a bit by bit breaking down of the expansion until the final answer is obtained. This method had been seen not direct enough and involve repeated application up to the final results is achieved which make the method to be unattractive. There is need to develop a direct and straight way expanding trinomial expression of any power. Thisstudy utilized kifilideen trinomial theorem based on matrix appro...
Overtime the arrangement of the terms of the trinomial expansion of power of n has been an issue in the area of orderliness and periodicity which as make it difficult to assign each element of the expansion in a standardize term. This study developsKifilideen trinomial theorem using matrix approach. The Kifilideen equations to determine the power combination of any term of kif trinomial expansion and position of any term in the series of the expansion in a group or column of a kif matri...
Human day to day activities especially in the sector or area which involves reoccurrence of events always landed into mathematical problems which demands different kinds of power of different bases. Overtime the conversion of power of base of one number to another or to the power of base ten has been difficult to do except with the use of calculator. Due to this the mathematical process of evaluation of mathematical problem is slowed down when calculator is not available. The utilization of ...
Bagasse, a fibrous residue from Sugar mills, is not easily biodegradable posing disposal challenges. Given its abundance in the sugar producing regions of Kenya, there is continued need to find other alternative uses. The objective of this study was to investigate the potential use of sugarcane bagasse-based adsorbents for removing Cd2+, Pb2+, methylene blue and turbidity from water spiked with the contaminants. Four bagasse-based adsorbents were prepared and used in batch experiments. Sugarc...
Salinity affects about 40% of the global area mainly the arid and semi-arid regions. In Kenya the ASALs cover approximately 80% of the total area where agricultural production constraints include water scarcity, salinity and sodicity. Sweetpotato Ipomoea batatas L. (Lam.) is the third most economically important root crop after potato and cassava in the world cultivated for human consumption, animal feed and industrial uses. The production of sweetpotato by smallholder farmers in the AS...
An estimated 1.8 billion people in the world use water coming from fecally contaminated sources. This is as a result of 80% of the human generated wastewater ending up in rivers and other reusable water bodies before treatment. The hygienic balance is locally complicated by the fact that 57% of people in informal settlements have no access to basic sanitation, including latrines and toilets. This study sought to evaluate alternative toileting in the name of “Peepoo”, as single use p...
Geothermal energy has become increasingly important around the world for the past few decades. This renewable energy has been utilized for electricity generation in Kenya. Before harnessing and utilizing this energy, survey of the geothermal area must be done. Moinonin has several geothermal manifestations in form of fumaroles, hot altered ground and steaming grounds among others. Even with these geothermal manifestations, gravity survey has not been done in the area. There is need to ex...
Medicinal plants contain a wide range of substances that can be used to treat chronic illness as well as infectious diseases. A vast knowledge of how to use the plants against different illnesses may be expected to have accumulated in areas where plants are commonly used. Conventional medicine has created problems due to microbial resistance. This has enhanced the interest in search for natural products with medicinal property. Information on the chemical constituents in herbs aid in dis...
ABSTRACT Microbial infections constitute a serious problem especially in developing countries. Several antibiotics have been developed but their use is limited due to antimicrobial resistance and emergence of new infections. Several plants have proven to be medicinal and this has necessitated research in the field of phytochemistry aimed at generating more effective antimicrobial agents. The aim of this study was to investigate the phytochemical properties with respect to antimicrobial effec...
The Lake Victoria Basin (LVB) in East Africa hosts over thirty million inhabitants most of whom are classified as absolutely poor. The food security in the region is manifested in high levels of malnutrition, child mortality and high HIV and AIDS incidents. There is need for food diversifications. Food crops like pumpkins though indigenous in the region have no established position within the major food crops despite their rich nutritional potential and capability to provide a balanced ...
Malaria is a mosquito-borne infectious disease of humans and other animals caused by protists of the genus Plasmodium. Malaria is responsible for high morbidity and mortality rates among children under five years and pregnant women. Recent climatic changes leading to global warming has resulted in the emergence of malaria in highlands in Africa where malaria never existed before. In Kenya, highland malaria is very rampant in Nyanza, Gucha District and some parts of Rift Valley province w...