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Full-Text Articles in Physical Sciences and Mathematics
Nabla Fractional Calculus And Its Application In Analyzing Tumor Growth Of Cancer, Fang Wu
Nabla Fractional Calculus And Its Application In Analyzing Tumor Growth Of Cancer, Fang Wu
Masters Theses & Specialist Projects
This thesis consists of six chapters. In the first chapter, we review some basic definitions and concepts of fractional calculus. Then we introduce fractional difference equations involving the Riemann-Liouville operator of real number order between zero and one. In the second chapter, we apply the Brouwer fixed point and Contraction Mapping Theorems to prove that there exists a solution for up to the first order nabla fractional difference equation with an initial condition. In chapter three, we define a lower and an upper solution for up to the first order nabla fractional difference equation with an initial condition. Under certain …
On Nullification Of Knots And Links, Anthony Montemayor
On Nullification Of Knots And Links, Anthony Montemayor
Masters Theses & Specialist Projects
Motivated by the action of XER site-specific recombinase on DNA, this thesis will study the topological properties of a type of local crossing change on oriented knots and links called nullification.
One can define a distance between types of knots and links based on the minimum number of nullification moves necessary to change one to the other. Nullification distances form a class of isotopy invariants for oriented knots and links which may help inform potential reaction pathways for enzyme action on DNA. The minimal number of nullification moves to reach a è-component unlink will be called the è-nullification number.
This …
A Normal Truncated Skewed-Laplace Model In Stochastic Frontier Analysis, Junyi Wang
A Normal Truncated Skewed-Laplace Model In Stochastic Frontier Analysis, Junyi Wang
Masters Theses & Specialist Projects
Stochastic frontier analysis is an exciting method of economic production modeling that is relevant to hospitals, stock markets, manufacturing factories, and services. In this paper, we create a new model using the normal distribution and truncated skew-Laplace distribution, namely the normal-truncated skew-Laplace model. This is a generalized model of the normal-exponential case. Furthermore, we compute the true technical efficiency and estimated technical efficiency of the normal-truncated skewed-Laplace model. Also, we compare the technical efficiencies of normal-truncated skewed-Laplace model and normal-exponential model.