Soft soil stabilization frequently uses cement, lime, fly ash, etc., but very limited studies were conducted on the long-term durability of stabilized soil. The present research work deals with the long-term durability of commercially available soil (i.e., EPK clay) stabilized with ordinary Portland cement and polypropylene fiber using a realistic approach, where the effect can be noticed in each weathering cycle. In the present study, two different tests (i.e., wetting-drying and freezing-thawing) were conducted to analyze the long-term durability of stabilized soil. Cycles of higher temperature followed by rainfall, which generally occurs in southern states of the US, were analyzed by the wetting-drying test; and on the other hand, cycles of freezing temperature followed by normal temperature, which generally occurs in northern states of the US and Canada, were analyzed by the freezing-thawing test. For the mid-continental region where freezing, normal, and higher temperature followed by rainfall are expected to occur, hence both the test method i.e., wetting-drying and freezing-thawing, were suggested. Laboratory experimental investigations were conducted to find the percentage loss of stabilized soil during wetting-drying and freezing-thawing tests, which were used as a durability indicator for cement and cement-fiber stabilized soil. Stabilized samples were subjected to harsh environmental conditions in a laboratory set up, and their deterioration was observed and studied after each wetting-drying and freezing-thawing cycle. In the real world, stabilized soil encounters seasonal cycles of monsoon and summer in long run of its service life which was simulated in rapid weathering cycles in laboratory setup. EPK clay samples were stabilized with different percentages of cement, and a mix of cement-fiber combination and were subjected to 12 cycles of wetting-drying and freezing-thawing cycles separately to determine the percentage loss of soil in accordance with the ASTM standards. Finally, based on percentage loss of soil of those stabilized samples which survived up to 12 cycles of weathering action, the optimum content of stabilizing agent was determined for wetting-drying and freezing-thawing tests. Results of wetting-drying tests indicate that EPK clay stabilized with ordinary Portland cement and fiber combination survived up to 12 cycles, but only 10% cement + 0.5% fiber was durable against wetting-drying based on percentage loss. For all the samples stabilized with 10% cement + 0.5% fiber combination, the percentage loss of soil when subjected to durability test was less than 7%, which satisfy the Portland Cement Association’s (PCAs) durability specification. The results of freezing-thawing tests indicate that the EPK clay stabilized with 10% cement, 5% cement + 0.5% fiber, and 10% cement + 0.5% fiber survived up to 12 cycles and were durable against freezing-thawing based on percentage loss of soil i.e., less than 7% which satisfy the Portland Cement Association’s durability specification.

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No description available.

In this report we will plunge down in the fascinating world of the generating functions. Generating functions showcase the "power of power series", giving more depth to the word "power" in power series. We start off small to get a good understanding of the generating function and what it does. Also, off course, explaining why it works and why we can do some of the things we do with them. We will see alot of examples throughout the text that helps the reader to grasp the mathematical object that is the generating function. We will look at several kinds of generating functions, the main focus when we establish our understanding of these will be the "ordinary power series" generating function ("ops") that we discuss before moving on to the "exponential generating function" ("egf"). During our discussion on ops we will see a "first time in literature" derivation of the generating function for a recurrence relation regarding "branched coverings". After finishing the discussion regarding egf we move on the Hermite polynomials and show how we derive their generating function. Which is a generating function that generates functions. Lastly we will have a quick look at the "moment generating function".

In this dissertation, a new numerical method for solving some problems on the semiinfinite domain is presented. The method is based upon the modified rational Bernoulli functions. These functions are first introduced. Operational matrices of derivative and product of modified rational Bernoulli functions are then derived and are utilized to reduce the solution of the equations to a system of algebraic equations. This method is used to solve the following problems: Lane-Emden type equations, Volterra’s population model, Blasius equation, and MHD Falkner-Skan equation. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Great Smoky Mountains National Park (GRSM) received 12.5 million visitors in 2020. With a high traffic volume, it is imperative roadways remain open and free from obstruction. Annual unanticipated rockfall events in GRSM often obstruct traffic flow. Using the Unstable Slope Management Program for Federal Land Management Agencies (USMP for FLMA) protocols, this study analyzes high priority unstable rock slopes through 1) creation of an unstable slope geodatabase and 2) generation of a final rockfall risk model using Co-Kriging from a preliminary risk model and susceptibility model. A secondary goal of this study is to provide risk estimation for the three most traveled transportation corridors within GRSM, as well as investigate current rockfall hazard warning sign location to ultimately improve visitor safety with regards to rockfall hazards.

Antalet nyanlända elever ökar i den svenska skolan för varje år och det gör att skolan blir en mötesplats för alla kulturer, nationer, religioner, livsstilar, språk och olika kunskaper särskilt sedan 1 juli 2013 när det bestämdes att även de nyanlända barn utan uppehållstillstånd fick laglig rätt att gå i skolan. Denna rapport syftar till att bidra med kunskap kring lärares syn på integrering av de nyanlända eleverna i den svenska skolan och särskilt i ämnet matematik, de nyanlända elevernas upplevelser av matematikundervisningen och svårigheter som lärarna upplever vid matematikundervisning för nyanlända. Resultatet visar att det krävs mycket samarbete kring nyanländas kunskapsutveckling och integrering. Lärarna påstår att integrering inte sker bara genom att eleverna finns med i klassrummet utan de måste ha samma möjligheter och förutsättningar som de andra för att integrering ska vara möjlig. Enligt lärarna måste eleverna kartläggas innan de börjar skolan för att upptäcka på vilken nivå de ligger för att få rätt hjälp. Resultatet av studien visar vidare att de nyanlända eleverna som placerades i en förberedelseklass är mer nöjda med sina studier än de som placerades i en ordinarie klass. Resultatet visar också att brister i svenska och elevernas studiebakgrund utgör det största problemet för lärarnas jobb med de nyanlända. Därför är det viktigt att eleverna börjar i en örberedelseklass för att få en mjuk start och för att få kännedom om en del matematiska termer innan de börjar i en ordinarie klass. Denna studie är en kvalitativ studie som utgår från intervjuer med ett fåtal lärare och elever, två lärare och åtta elever och därför kan man inte dra några generella slutsatser av studien. För att kunna dra några entydiga eller generella slutsatser krävs det mer omfattande forskning inom området och som engagerar ett större antal lärare, elever och andra personal inom flera skolor i olika kommuner. / The number of newly arrived pupils increases in the Swedish school every year, which makes the school a meeting place for all cultures, nations, religions, lifestyles, languages and different knowledge especially since July 1, 2013 when it was decided that even new arrivals without a residence permit were given legal right to go to school. This report aims at contributing knowledge about teachers views on the integration of newly arrived students in Swedish schools, and especially in the subject of mathematics, the newly arrived students' experiences of mathematics teaching and difficulties experienced by teachers in mathematics education for newcomers. The result shows that a lot of cooperation is needed about the development and integration of newly arrived students. Teachers argue that integration does not only happen when the students are in the classroom, but they must have the same opportunities and possibilities as the others for integration to be possible. According to the teachers, the students must be mapped before they start school to find out what level they are in order to get the right help. The result of the study further shows that the newly arrived students placed in a preparatory class are more satisfied with their studies than those who were placed in an ordinary class. The result also shows that shortcomings in Swedish and student backgrounds constitute the biggest problem for teachers' jobs with new arrivals. Therefore, it is important that the students begin in a class of preparation to get a smooth start and to get acquainted with some mathematical terms before starting in a regular class. This study is a qualitative study based on interviews with a few teachers and students, two teachers and eight students and therefore you cannot draw any general conclusions from the study. In order to draw some unambiguous or general conclusions, more extensive research is required in the field, involving more teachers, students and other staff in several schools in different municipalities.

The aim of the following master’s thesis is to analyze moral difficulties in and in relation to the French novel Grey Soulsby Philippe Claudel. Situated in the philosophic and literary tradition of Ordinary Language Criticism, the thesis applies and takes support from reasoning, ideas, and procedures from Niklas Forsberg, Stanley Cavell, Toril Moi and Nora Hämäläinen. A starting point is that the reader is vital for the novel’s moral impact. Through the analysis, sectioned into two parts, I study events, themes, and characters in the novel, before focusing on the anonymous narrator. By using the distinction between subjective and objective knowledge (Forsberg) and “best case of acknowledgement” (Cavell) I reach the conclusion that the narrator’s quest for objective knowledge is a diversion: it is subjective knowledge that he really seeks and needs to acknowledge. By applying Hämäläinen’s open-ended use and Forsberg’s mirroring, the thesis continuously puts emphasis on the role the reader holds in relation to the novel’s moral difficulties, arguing that the reader, too, needs to be subjectively engaged to grasp the novel’s difficulties and do it justice. / L’objectif du mémoire de master suivant est d’analyser les difficultés morales dedans et par rapport au roman français Les Âmes grises de Philippe Claudel. Situé dans la tradition philosophique et littéraire d’Ordinary Language Criticism, le mémoire applique et prend appui sur des raisonnements, des idées et des procédures de Niklas Forsberg, Stanley Cavell, Toril Moi et Nora Hämäläinen. Un point de départ est que le lecteur est essentiel pour l’impact moral du roman. À travers l’analyse, divisée en deux parties, j’étudie des événements, des thèmes et des personnages du roman, avant de me focaliser sur le narrateur anonyme. En utilisant la distinction entre connaissance subjective et objective (Forsberg) et le « best case of acknowledgement » (Cavell), j’arrive à la conclusion que la quête de connaissance objective du narrateur est une diversion : c’est la connaissance subjective qu’il recherche réellement et qu’il doit reconnaître. En appliquant la lecture ouverte de Hämäläinen et la mise en miroir de Forsberg, le mémoire met continuellement l’accent sur le rôle que joue le lecteur par rapport aux difficultés morales du roman, arguant que le lecteur aussi doit être engagé subjectivement pour saisir les difficultés du roman et le faire justice.

The method of dual steepest descent is used to solve ordinary differential equations with nonlinear boundary conditions. A general boundary condition is B(u) = 0 where where B is a continuous functional on the nth order Sobolev space Hn[0.1J. If F:HnCO,l] —• L2[0,1] represents a 2 differential equation, define *(u) = 1/2 IIF < u) li and £(u) = 1/2 l!B(u)ll2. Steepest descent is applied to the functional 2 £ a * + £. Two special cases are considered. If f:lR —• R is C^(2), a Type I boundary condition is defined by B(u) = f(u(0),u(1)). Given K: [0,1}xR—•and g: [0,1] —• R of bounded variation, a Type II boundary condition is B(u) = ƒ1/0K(x,u(x))dg(x).

The Vector Quantization (VQ) model proposes a powerful solution for data clustering. Its design indicates a specific combination of concepts from machine learning and dynamical systems theory to classify input data into distinct groups. The model evolves over time to better match the distribution of the input data. This adaptive feature is a strength of the model, as it allows the cluster centers to shift according to the input patterns, effectively quantizing the data distribution. It is a gradient dynamical system, using the energy function V as its Lyapunov function, and thus possesses properties of convergence and stability. These characteristics make the VQ model a promising tool for complex data analysis tasks, including those encountered in machine learning, data mining, and pattern recognition.In this study, we have applied the dynamic model to the "Breast Cancer Wisconsin Diagnostic" dataset, a comprehensive collection of features derived from digitized images of fine needle aspirate (FNA) of breast masses. This dataset, comprising various diagnostic measurements related to breast cancer, poses a unique challenge for clustering due to its high dimensionality and the critical nature of its application in medical diagnostics. By employing the model, we aim to demonstrate its efficacy in handling complex, multidimensional data, especially in the realm of medical pattern recognition and data mining. This integration not only highlights the model's versatility in different domains but also showcases its potential in contributing significantly to medical diagnostics, particularly in breast cancer identification and classification.