Ranks, Subdegrees and Suborbital graphs of the product action of Affine Groups

The action of affine groups on Galois field has been studied.  For instance,  studied the action of on Galois field for  a power of prime.  In this paper, the rank and subdegree of the direct product of affine groups over Galois field acting on the cartesian product of Galois field is determined. The application of the definition of the product action is used to achieve this. The ranks and subdegrees are used in determination of suborbital graph, the non-trivial suborbital graphs that correspond to this action have been constructed using Sims procedure and were found to have a girth of 0, 3, 4 and 6

The conflict benveen A1ticles 27 and 86 of the Rome Statute 2vith respect to an accused incumbent head of state and its effect on the effectiveness of the trial process'

A dissertation submitted in partial fulfillment of the Bachelor of Laws (LL.B) degreeUnder customary international law, incumbent heads of states are accorded certain immunities whose purpose is to ensure the smooth conduct of international relations of their state which, in turn, require an effective process of communication between states. It is safe, therefore, to say that immunities for sitting heads of states undergird the stability of the international community. The development of international criminal law in the last seven decades has seen a gradual erosion of the integrity of immunities for heads of states. The journey from Nuremberg to The Hague has resulted in a permanent International Criminal Court established under the Rome Statute. Article 27(2) of this Statute disregards immunities as an effective bar to the jurisdiction of the International Criminal Court. Heads of states have been stripped off their "invisibility cloak" from international criminal prosecutions. Establishing international criminal jurisdiction in a particular case is one thing. Conducting a successful international criminal trial is another. One of the core elements in the latter is the investigation process. The Rome Statute places its reliance on the situation state's authorities by imposing an obligation on the state to cooperate with the Court in its investigation and prosecution of crimes. This general obligation to cooperate, found under Article 86 of the Rome Statute, is determinative of not only the success of any trial process but also the legitimacy and credibility of the Court. A special tension is noticeable in circumstances where an incumbent head of state is accused at the Court- which is now possible following the stripping of the "immunities cloak"- while his state is placed under the general cooperation obligation with the Court. This tension is clearly manifest, at least practically, in the two criminal processes against Uhuru Kenyatta and Omar AI Bashir. Bearing in mind the significant political muscle a sitting head of state wields in their state, it is quite unlikely and indeed evident from the two cases above, that the state authorities will be very reluctant to discharge their Article 86 obligation. While the prosecution of former heads of states is possible and has actually happened, the prosecution of sitting heads of states remains a challenge. Is it time to rethink the structure of the Court or the implementation of the Rome Statute? This dissertation is an analysis of the tension or conflict between the implication of Article 27 and the obligation under Article 86 of the Rome Statute with respect to a sitting head of state. It is a qualitative research focused on some principles of international criminal law and their inter-relationship. To heal the tension, I recommend in the last chapter, a redefinition of the structure of the Court. This redefinition entails significant reduction of the role the state may play in determining the success or direction of a criminal trial

Using student and instructor characteristics to predict student success in Algebra courses

International audienceThis paper explores the relationship between characteristics, beliefs, backgrounds and perceptions of students and instructors with students’ grade earned in algebra courses at two-year post-secondary institutions in the U.S. using multiple linear regression. We present the results of an analysis of data collected during the Fall 2017 semester. From this analysis we seek to highlight a few predictor variables with significant influence on the outcome variable of student grade in the course and provide interpretations of these results

Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered Pairs and on Ordered Triples

Ranks and subdegrees can be computed using combinatorial arguments, the Cauchy-Frobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply the concept of marks to compute the ranks and subdegrees of the symmetric..........

Effect of Investment Risk on Unit Trust Price Volatility Among Capital Market Authority Listed Firms in Kenya

The purpose of the study was to investigate the effect of investment risk on unit trust price volatility among CMA listed firms in Kenya. As a result of unit trust price volatility, investors are shifting to real estate and other investments with low price volatility. This makes unit trust price volatility an important issue to investigate. The unit trust price volatility is of much importance to investors, fund’s managers and government regulators. The objective that guided the study was to investigate the effect of investment risk on unit trust price volatility. A record survey sheet was used to collect secondary data using longitudinal research design. The statistical population of the study consisted of 19 Unit trusts registered by CMA 2016 and offering equity fund.  Census was taken to collect annual data for a period of 9 years from 2009 to 2017. Data presentation was done using panel plots, trend lines and distribution tables. The statistical techniques used are descriptive statistics such as Mean, median and Standard deviation. Diagnostics tests done were multicollinearity, autocorrelation, normality, Heteroskedasticity, Hausman and serial correlation.  Correlation tests, analysis of variance and panel regression analysis were also done for Inferential statistics. The hypothesis of the study was tested using panel regression analysis. The null hypothesis of the study was rejected at 5% level of significance. The results (r= -O.4366) of the study indicated that the effect of Investment risk on unit trust price volatility was negative and statistically significant at 5% levels. The overall model was tested using the F-test at 5% level of significance which resulted to the value of F (0.05,1,84) = 3.96 ≤ F (1, 83) = 19.550, p-value =0.000≤ 0.05 indicating that the model fits well. The results of the study analysis revealed that investment risk had a statistical significant effect on unit trust price volatility among CMA listed firms in Kenya for equity fund model. The coefficient of determination (R2 ) = 0.1906 which indicated that the investment risk contributes only 19.00% of the unit trust price volatility while the larger proportion is attributed to other extraneous variables. The model can be used for unit trust price volatility prediction though on a low scale. The study made the following recommendations; CMA regulate and inspect the financial stability policies governing unit trusts, unit trust firms to pay the investors in time and improve on financial stability, reduce on the operation costs and control operation systems of unit trusts. On policy implication, the government should review the CMA act to give the authority the inspection mandate on the unit trust to make them efficient and conform to financial international standards to be in line with the economic pillar of vision 2030. Keywords: Investment risk, unit trust price volatility DOI: 10.7176/RJFA/10-8-05 Publication date: April 30th 201

Cycle Index Formulas for Dn Acting on Unordered Pairs

The cycle index of dihedral group.......... More information can be found in the full paper

Mathematical Content Knowledge for Teaching Elementary Mathematics: A Focus on Geometry and Measurement

This paper summarizes the extant peer-­‐reviewed research on PTs’ understanding of geometry and measurement, focusing on a wide variety of topics within these content domains. When looking across the 26 studies reviewed, findings span a variety of content topics, providing little depth in either the geometry or measurement content domain. However, collective findings do indicate PTs’ overall conceptions in geometry and measurement to be limited and weak, with PTs relying on memorized procedural processes. Some evidence indicates that cognitive development, along with spatial visualization skills, plays a greater role in learning geometry than memory skills. In addition, the van Hiele levels of geometric learning provide a helpful framework to think about the development of geometric ideas. Direction of future research is elaborated to address ways to develop PTs’ understanding of geometry and measurement. Gaps that still exist in the research literature regarding PTs’ mathematical content knowledge in geometry and measurement are identified

Integrated solid waste management: decentralised service delivery case study of Nakuru municipality, Kenya

Effective Solid Waste Management (SWM) in Kenya is a major challenge facing responsible Local Authorities (LAs) across the country. The challenge is more serious in urban centres, where solid waste generation rate outstrips the ability of LAs to manage the same effectively. In Nakuru town, the fourth largest urban centre in Kenya, daily solid waste generation is approximated at 250 tonnes. Before changes were introduced in 2006, the average daily collection rate was less than 30%. To resolve this challenge on domestic solid waste handling, the Municipal Council of Nakuru (MCN) enacted 2006 Nakuru Environmental Management by-laws that paved the way for decentralized service delivery of domestic solid waste management. This article outlines the legal changes that were made, and the opportunities it has opened for both cleaning up the town and generating incomes for small private waste entrepreneurs and community-based groups. It includes a case study of a successful community-based waste enterprise. It ends by highlighting some of the remaining challenges

Application of Marks to Computation of Ranks and Subdegrees of the Symmetric Group Acting on Ordered 4-Element and 5- Element Subsets

Abstract Ranks and subdegrees can be computed using combinatorial arguments, the Cauchy-Frobenius lemma and use of the concept of marks. However the concept of Marks has been given very little attention. In this paper we will apply the concept of marks to compute the ranks and subdegrees of the symmetric group ( = 7,8,9) acting on ordered 4-element subsets and ( = 8,9,10) acting on ordered 5-element subsets

Transitivity Action of An on (n=4,5,6,7) on Unordered and Ordered Quadrupples

In this paper, we study some transitivity action properties of the alternating group .............