On intertwining and w-hyponormal operators

Given $A, B\in B(H)$, the algebra of operators on a Hilbert Space $H$, define $\delta_{A,B}: B(H) \to B(H)$ and $\Delta_{A,B}: B(H) \to B(H)$ by $\delta_{A,B}(X)=AX-XB$ and $\Delta_{A,B}(X)=AXB-X$. In this note, our task is a twofold one. We show firstly that if $A$ and $B^{*}$ are contractions with $C_{.}o$ completely non unitary parts such that $X \in \ker \Delta_{A,B}$, then $X \in \ker \Delta_{A*,B*}$. Secondly, it is shown that if $A$ and $B^{*}$ are $w$-hyponormal operators such that $X \in \ker \delta_{A,B}$ and $Y \in \ker \delta_{B,A}$, where $X$ and $Y$ are quasi-affinities, then $A$ and $B$ are unitarily equivalent normal operators. A $w$-hyponormal operator compactly quasi-similar to an isometry is unitary is also proved

Genetic characterization of influenza A(H3N2) viruses circulating in coastal Kenya, 2009-2017

Background Influenza viruses evolve rapidly and undergo immune driven selection, especially in the hemagglutinin (HA) protein. We report amino acid changes affecting antigenic epitopes and receptor‐binding sites of A(H3N2) viruses circulating in Kilifi, Kenya, from 2009 to 2017. Methods Next‐generation sequencing (NGS) was used to generate A(H3N2) virus genomic data from influenza‐positive specimens collected from hospital admissions and health facility outpatients presenting with acute respiratory illness to health facilities within the Kilifi Health and Demographic Surveillance System. Full‐length HA sequences were utilized to characterize A(H3N2) virus genetic and antigenic changes. Results From 186 (90 inpatient and 96 outpatient) influenza A virus‐positive specimens processed, 101 A(H3N2) virus whole genomes were obtained. Among viruses identified in inpatient specimens from 2009 to 2015, divergence of circulating A(H3N2) viruses from the vaccine strains A/Perth/16/2009, A/Texas/50/2012, and A/Switzerland/9715293/2013 formed 6 genetic clades (A/Victoria/208/2009‐like, 3B, 3C, 3C.2a, 4, and 7). Among viruses identified in outpatient specimens from 2015 to 2017, divergence of circulating A(H3N2) viruses from vaccine strain A/Hong Kong/4801/2014 formed clade 3C.2a, subclades 3C.2a2 and 3C.2a3, and subgroup 3C.2a1b. Several amino acid substitutions were associated with the continued genetic evolution of A(H3N2) strains in circulation. Conclusions Our results suggest continuing evolution of currently circulating A(H3N2) viruses in Kilifi, coastal Kenya and suggest the need for continuous genetic and antigenic viral surveillance of circulating seasonal influenza viruses with broad geographic representation to facilitate prompt and efficient selection of influenza strains for inclusion in future influenza vaccines

PRINCIPALS’ ROLE IN MONITORING INSTRUCTIONAL ASSESSMENT AND ITS INFLUENCE ON TEACHING AND LEARNING OUTCOME IN SECONDARY SCHOOLS IN KAJIADO COUNTY, KENYA

With the core business of the school being instruction, the principals’ monitoring of instructional assessment is necessary in enhancing teaching and learning processes and outcome in schools. Despite measures being in place, teaching and learning outcome has remained consistently low, especially in Kajiado County. The objective of this study is to assess the influence of principals’ monitoring of instructional assessments on teaching and learning outcome. The study was guided by the result-based management theory. The study employed a descriptive survey design. This study population of study comprised 727 respondents in all the 9 public secondary schools in Kajiado. These respondents included 122 teachers, 594 students and 9 principals. Out of these, 342 respondents were sampled and they were comprised of 9 principals, 97 teachers and 201 students. Proportionate sampling was used to draw a sample of 97 teachers’ and 201 students per school. Further, simple random sampling was used to sample teachers while convenience sampling was applied to draw the sample of students to participate in the study per school. Data was collected by questionnaires and interview schedule. A pilot study was conducted in two schools for the purpose of addressing validity and reliability of the instruments before the actual study was conducted. Content validity was determined by seeking the judgment of professional experts in the area of educational research, evaluation and assessment. Reliability level was ascertained by using Cronbach’s alpha technique to check internal consistency of the instruments. The analysis of quantitative data was done using frequencies, percentages and means and then presented in tables and figures. Qualitative data was arranged into themes and presented through narration and in verbatim. The study established that principals' checking of assessment practices, even-though inconsistent, significantly influenced performance. The study concluded that principals' monitoring of instructional practices (mean=3.5, SD=1.2) significantly influenced performance in schools. It recommended that the Ministry of Education should organise training for principals to improve their skills of monitoring assessment.  Article visualizations

Strategies to Promote Market-Oriented Smallholder Agriculture in Developing Countries: A Case of Kenya

Smallholder Agriculture is key to livelihoods of many rural households in developing and transition economies. In Kenya, small farms account for over 75% of total agricultural production and nearly 50% of the marketed output. Despite favourable trends in global development drivers such as rising population, per capita incomes and emerging urban dietary preferences, most smallholder farmers remain poor. This study sought to characterize agricultural commercialization trends, identify and prioritize constraints to participation in markets, analyse determinants of percentage of output sold, and explore strategies to promote market-oriented production. A participatory Rapid Rural Appraisal approach, household survey and a Truncated Regression model were used. A sample of 224 farmers: 76 of them growing maize, 77 involved in horticulture (kales and tomatoes) and 71 practising dairy, were interviewed in one peri-urban and one rural district (Kiambu and Kisii, respectively). Results show that in rural areas, lower levels of output are sold and fewer farmers participate in markets compared to the peri-urban areas. Opportunities for profitable commercial agriculture are observed in growing demand, emerging food preferences and intensive farming. At village-level, market participation is hampered by poor quality and high cost of inputs, high transportation costs, high market charges and unreliable market information. At the household-level, the determinants of percentage of output sold are producer prices, market information arrangement, output, distance to the market, share of non-farm income and gender. Strategies are suggested to improve rural input supply, institutional and regulatory framework, enhance value addition and strengthen market information provision.Smallholder Agriculture, Market Participation, Commercialization, Kenya, Agricultural and Food Policy, Community/Rural/Urban Development, Demand and Price Analysis, Farm Management, Food Consumption/Nutrition/Food Safety, Food Security and Poverty, International Relations/Trade, Land Economics/Use, Marketing, Productivity Analysis, Research and Development/Tech Change/Emerging Technologies,

Aboveground Net Primary Productivity in Grazed and Ungrazed pastures: Grazing Optimisation Hypothesis or Local Extinction of Vegetation Species

The controversy that has surrounded herbivory studies in the last few decades prompted our investigation to establish the extent to which herbivore optimisation hypothesis or compensatory growth evidence is real. We used the traditional movable cage method to collect primary productivity data on herbage, functional groups and key individual grass species in various controlled large herbivore treatments in an east African savanna. The herbivore treatments in triplicate blocks included cattle, wild herbivores with and without mega herbivores and combinations of cattle and wild herbivores also with and without mega herbivores. The findings revealed that at herbage level, most grazed treatments (four out of five) had higher productivity than the ungrazed control and three showed grazing optimisation curve at sixth polynomial degree between monthly productivity and grazing intensity (1-g/ng). At functional group level forbs productivity was higher in the ungrazed control than in any of the grazed treatments while at individual grass species level _Themeda triandra_ productivity was higher in all grazed treatments than in ungrazed control. We conclude against presence of herbivore optimisation hypothesis at herbage, functional group and species level because of lack of attributable grazing effect in grazed treatments that matches complex ecological effects in the ungrazed treatment

Quality of glycaemic control in ambulatory diabetics at the out-patient clinic of Kenyatta National Hospital, Nairobi

Background: Treatment of diabetes mellitus is based on the evidence that lowering blood glucose as close to normal range as possible is a primary strategy for reducing or preventing complications or early mortality from diabetes. This suggests poorer glycaemic control would be associated with excess of diabetes-related morbidity and mortality. This presumption is suspected to reach high proportions in developing countries where endemic poverty abets poor glycaemic control. There is no study published on Kenyan patients with diabetes mellitus about their glycaemic control as an audit of diabetes care. Objective: To determine the glycaemic control of ambulatory diabetic patients. Design: Cross-sectional study on each clinic day of a randomly selected sample of both type I and 2 diabetic patients. Setting: Kenyatta National Hospital. Methods: Over a period of six months, January 1998 to June 1998. During routine diabetes care in the clinic, mid morning random blood sugar and glycated haemoglobin (HbAI c)were obtained. Results: A total of 305 diabetic patients were included, 52.8% were females and 47.2% were males. 58.3% were on Oral Hypoglycaemic Agent (OHA) only, 22.3% on insulin only; 9.2% on OHA and insulin and 4.6% on diet only. 39.5% had mean HbAlc £ 8% while 60.5% had HbAlc ³ 8%. Patients on diet-only therapy had the best mean HbAlc=7.04% while patients on OHA-only had the worst mean HbAlc=9.06%. This difference was significant (p=0.01). The former group, likely, had better endogenous insulin production. The influence of age, gender and duration of diabetes on the level of glycaemic control observed did not attain statistically significant proportions. Conclusion: The majority of ambulatory diabetic patients attending the out-patient diabetic clinic had poor glycaemic control. The group with the poorest level of glycaemic control were on OHA-only, while best control was observed amongst patients on diet-only, because of possible fair endogenous insulin production. Poor glycaemic control was presumed to be due to sub-optimal medication and deteriorating diabetes. There is need to empower patients with knowledge and resources to enhance their individual participation in diabetes self-care. Diabetes care providers and facilities also need capacity building to improve care of patients with diabetes. East African Medical Journal Vol.80(8) 2003: 406-41

Responding to Major Burn Disasters in Resource-Limited Settings: Lessons Learned From an Oil Tanker Explosion in Nakuru, Kenya.

BACKGROUN

Millennials and Generation Z Employees are here: Is your Organization ready?

This paper provides a review of organisational development change process and design of organisational development interventions (ODIs) in the context of millennial and post millennial employees. Data was collected through a desk top literature survey of primary and secondary data from millennial and post millennial studies as well as a review of primary and secondary data from scientific research on change management and organisational development. The review found that for effective successful change, organisations need to be cognisant of theory E and theory O of change. Organisations must diligently apply the organisational development four-stage process of “Entering and contracting”, “Diagnosing”, “Planning and implementing change” and “Evaluating and Institutionalizing Change”. The review also found that the millennial (Generation Y) employees are not the only problem affecting the future of the workplace and recommends for further research to be done on the impact of the post millennial (Generation Z) employees and the 4th industrial revolution  on the future of the workplace.Key Words: Millennials, Generation Z, Change, Organization Developmen

Agricultural and Finance Intervention Increased Dietary Intake and Weight of Children Living in HIV-Affected Households in Western Kenya.

We tested whether a multisectoral household agricultural and finance intervention increased the dietary intake and improved the nutritional status of HIV-affected children. Two hospitals in rural Kenya were randomly assigned to be either the intervention or the control arm. The intervention comprised a human-powered water pump, microfinance loan for farm commodities, and training in sustainable farming practices and financial management. In each arm, 100 children (0-59 mo of age) were enrolled from households with HIV-infected adults 18-49 y old. Children were assessed beginning in April 2012 and every 3 mo for 1 y for dietary intake and anthropometry. Children in the intervention arm had a larger increase in weight (β: 0.025 kg/mo, P = 0.030), overall frequency of food consumption (β: 0.610 times · wk-1 · mo-1, P = 0.048), and intakes of staples (β: 0.222, P = 0.024), fruits and vegetables (β: 0.425, P = 0.005), meat (β: 0.074, P < 0.001), and fat (β: 0.057, P = 0.041). Livelihood interventions have potential to improve the nutrition of HIV-affected children. This trial was registered at clinicaltrials.gov as NCT01548599

A More Efficient Way Of Obtaining A Unique Median Estimate For Circular Data

The procedure for computing the sample circular median occasionally leads to a non-unique estimate of the population circular median, since there can sometimes be two or more diameters that divide data equally and have the same circular mean deviation. A modification in the computation of the sample median is suggested, which not only eliminates this non-uniqueness problem, but is computationally easier and faster to work with than the existing alternative