The Basic Competencies Of Biological Experimentation: Concept-Skill Statements,
2016
Idaho State University
The Basic Competencies Of Biological Experimentation: Concept-Skill Statements, Nancy Pelaez, Trevor Anderson, Stephanie M. Gardner, Yue Yin, Joel K. Abraham, Edward Bartlett, Cara Gormally, Jeffrey P. Hill, Mildren Hoover, Carol Hurney, Tammy Long, Dina L. Newman, Karen Sirum, Michael Stevens
PIBERG Instructional Innovation Materials
This biological experimentation competencies map is a model created by members of the ACE-Bio Network of seven areas a competent biologist calls in when doing experimentation in biology. Each competency is represented by a summary word on a uniquely colored segment of the model. For presentation convenience, the seven major areas within experimentation in biology are mapped onto tables in a linear manner. However, this is not meant to convey a particular order that one must follow during experimentation. The areas are given equal weight and flexible order of their use throughout the process of experimentation. This work is meant …
Review: Transitivity And Bundle Shifts,
2016
Pomona College
Review: Transitivity And Bundle Shifts, Stephan Ramon Garcia
Pomona Faculty Publications and Research
No abstract provided.
Atypical Visual And Somatosensory Adaptation In Schizophrenia-Spectrum Disorders,
2016
Albert Einstein College of Medicine
Atypical Visual And Somatosensory Adaptation In Schizophrenia-Spectrum Disorders, Gizely Andrade, John Butler, Gregory Peter, Sophie Molholm, John J. Foxe
Articles
Neurophysiological investigations in patients with schizophrenia consistently show early sensory processing deficits in the visual system. Importantly, comparable sensory deficits have also been established in healthy first-degree biological relatives of patients with schizophrenia and in first-episode drug-naive patients. The clear implication is that these measures are endophenotypic, related to the underlying genetic liability for schizophrenia. However, there is significant overlap between patient response distributions and those of healthy individuals without affected first-degree relatives. Here we sought to develop more sensitive measures of sensory dysfunction in this population, with an eye to establishing endophenotypic markers with better predictive capabilities. We used …
Records Of The Brooklyn College Mathematics Department,
2016
City University of New York (CUNY)
Records Of The Brooklyn College Mathematics Department, Brooklyn College
Finding Aids
This collection consists largely of handwritten grade books from Brooklyn College’s earliest years. Much of it also relates to the Math Department’s extracurricular activities such as contests. There are only two Subgroups in the collection: Notebooks: Records of Classes in Mathematics 1926 – 1976, and Department of Mathematics General Information.
Series 10,
2016
Illinois Mathematics and Science Academy
Large Initial Data Global Well-Posedness For A Supercritical Wave Equation,
2016
University at Albany, State University of New York
Large Initial Data Global Well-Posedness For A Supercritical Wave Equation, Marius Beceanu, Avy Soffer
Mathematics and Statistics Faculty Scholarship
We prove the existence of global solutions to the focusing energy-supercritical semilinear wave equation in R^{3+1} for arbitrary outgoing large initial data, after we modify the equation by projecting the nonlinearity on outgoing states.
Sampling And Interpolation On Some Nilpotent Lie Groups,
2016
Bridgewater State University
Sampling And Interpolation On Some Nilpotent Lie Groups, Vignon Oussa
Mathematics Faculty Publications
No abstract provided.
Identifying An M-Ary Partition Identity Through An M-Ary Tree,
2016
Indiana University of Pennsylvania
Identifying An M-Ary Partition Identity Through An M-Ary Tree, Timothy B. Flower, Shannon R. Lockard
Mathematics Faculty Publications
The Calkin-Wilf tree is well-known as one way to enumerate the rationals, but also may be used to count hyperbinary partitions of an integer, h2(n). We present an m-ary tree which is a generalization of the Calkin-Wilf tree and show how it may be used to count the hyper m-ary partitions of an integer, hm(n). We then use properties of the m-ary tree to prove an identity relating values of h2 to values of hm, showing that one sequence is a subsequence of the other. Finally, …
Missouri Section Of The Mathematical Association Of America: Centennial History 1915-2015,
2016
Missouri University of Science and Technology
Missouri Section Of The Mathematical Association Of America: Centennial History 1915-2015, Leon M. Hall
Mathematics and Statistics Faculty Research & Creative Works
"Compiling and writing the history of the Missouri MAA Section has been time-consuming, but it has mainly been rewarding and a wonderful learning experience. Both the Monthly and the MAA began with strong Midwestern and Missouri influences, something which our section can look back on with well-deserved pride. Missouri MAA members have consistently advanced collegiate mathematics, mathematics education, mathematics research and scholarship, and public appreciation for and understanding of mathematics in both Missouri and the nation. Looking to the future, the MAA and the Missouri Section can continue to be a great source of opportunities for leadership and service for …
Asymptotic Behavior Of Certain Integrodifferential Equations,
2016
Missouri University of Science and Technology
Asymptotic Behavior Of Certain Integrodifferential Equations, Said R. Grace, Elvan Akin
Mathematics and Statistics Faculty Research & Creative Works
This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: (a(t)x'(t))' = e (t) + ∫ tc (t - s)α - 1k(t,s)ƒ(s,x(s))ds, c > 1, 0 < α < 1. From the obtained results, we derive a technique which can be applied to some related integrodifferential as well as integral equations.
Nonoscillation Criteria For Two-Dimensional Time-Scale Systems,
2016
Missouri University of Science and Technology
Nonoscillation Criteria For Two-Dimensional Time-Scale Systems, Ozkan Ozturk, Elvan Akin
Mathematics and Statistics Faculty Research & Creative Works
We study the existence and nonexistence of nonoscillatory solutions of a two-dimensional system of first-order dynamic equations on time scales. Our approach is based on the Knaster and Schauder fixed point theorems and some certain integral conditions. Examples are given to illustrate some of our main results.
Qualitative Analysis On Differential, Fractional Differential, And Dynamic Equations And Related Topics,
2016
Missouri University of Science and Technology
Qualitative Analysis On Differential, Fractional Differential, And Dynamic Equations And Related Topics, Said R. Grace, Taher S. Hassan, Shurong Sun, Elvan Akin
Mathematics and Statistics Faculty Research & Creative Works
This issue on qualitative analysis on differential, fractional differential, and dynamic equations and related topics aims at an all-around research and the state-of-the-art theoretical, numerical, and practical achievements that contribute to this field.
Sneak-Out Principle On Time Scales,
2016
Missouri University of Science and Technology
Sneak-Out Principle On Time Scales, Martin Bohner, Samir H. Saker
Mathematics and Statistics Faculty Research & Creative Works
In this paper, we show that the so-called "sneak-out principle" for discrete inequalities is valid also on a general time scale. In particular, we prove some new dynamic inequalities on time scales which as special cases contain discrete inequalities obtained by Bennett and Grosse-Erdmann. The main results also are used to formulate the corresponding continuous integral inequalities, and these are essentially new. The techniques employed in this paper are elementary and rely mainly on the time scales integration by parts rule, the time scales chain rule, the time scales Hölder inequality, and the time scales Minkowski inequality.
Oscillation Criteria For Fourth Order Nonlinear Positive Delay Differential Equations With A Middle Term,
2016
Missouri University of Science and Technology
Oscillation Criteria For Fourth Order Nonlinear Positive Delay Differential Equations With A Middle Term, Said R. Grace, Elvan Akin
Mathematics and Statistics Faculty Research & Creative Works
In this article, we establish some new criteria for the oscillation of fourth order nonlinear delay differential equations of the form (Equation presented) provided that the second order equation (Equation presented) is nonoscillatiory or oscillatory. This equation with g(t) = t is considered in [8] and some oscillation criteria for this equation via certain energy functions are established. Here, we continue the study on the oscillatory behavior of this equation via some inequalities.
On Algebraic Properties Of Veronese Bi-Type Ideals Arising From Graphs,
2016
TÜBİTAK
On Algebraic Properties Of Veronese Bi-Type Ideals Arising From Graphs, Maurizio Imbesi, Monica La Barbiera
Turkish Journal of Mathematics
Some algebraic properties of the ideals of Veronese bi-type arising from graphs with loops are studied. More precisely, the property of these ideals to be bi-polymatroidal is discussed. Moreover, we are able to determine the structure of the ideals of vertex covers for such generalized graph ideals.
A Note On Reduction Numbers And Hilbert-Samuel Functions Of Ideals Over Cohen-Macaulay Rings,
2016
TÜBİTAK
A Note On Reduction Numbers And Hilbert-Samuel Functions Of Ideals Over Cohen-Macaulay Rings, Amir Mafi, Dler Naderi
Turkish Journal of Mathematics
Let $(R,\fm)$ be a Cohen--Macaulay local ring of dimension $d\geq 2$ with infinite residue field and $I$ an $\fm$-primary ideal of $R$. Let $I$ be integrally closed and $J$ be a minimal reduction of $I$. In this paper, we show that the following are equivalent: $(i)$ $P_I(n)=H_I(n)$ for $n=1,2$; $(ii)$ $P_I(n)=H_I(n)$ for all $n\geq 1$; $(iii)$ $I^3=JI^2$. Moreover, if $\Dim R=3$, $n(I)\leq 1$ and $\grade gr_I(R)_+>0$, then the reduction number $r(I)$ is independent.
Sharp Bounds For The First Nonzero Steklov Eigenvalues For$F$-Laplacians,
2016
TÜBİTAK
Sharp Bounds For The First Nonzero Steklov Eigenvalues For$F$-Laplacians, Guangyue Huang, Bingqing Ma
Turkish Journal of Mathematics
Let $M$ be an $n$-dimensional compact Riemannian manifold with a boundary. In this paper, we consider the Steklov first eigenvalue with respect to the $f$-divergence form: $$ e^{f}{\rm div}(e^{-f}A\nabla u)=0\ {\rm in}\ \ M, \ \ \ \ \ \langle A(\nabla u),\nu\rangle-\eta u=0 \ \ {\rm on}\ \partial M,$$ where $A$ is a smooth symmetric and positive definite endomorphism of $TM$, and the following three fourth order Steklov eigenvalue problems: $$ (\Delta_f)^2u=0\ \ {\rm in}\ M, \ \ \ \ \ u=\Delta_f u-q\frac{\partial u}{\partial \nu}=0\ \ {\rm on}\ \partial M; $$ $$ (\Delta_f)^2u=0\ {\rm in}\ \ M, \ \ \ …
A Remark On Singularity Of Homeomorphisms And Hausdorff Dimension,
2016
TÜBİTAK
A Remark On Singularity Of Homeomorphisms And Hausdorff Dimension, Chun Wei, Shengyou Wen
Turkish Journal of Mathematics
We prove that there is a homeomorphism of the unit interval onto itself that is so singular that it maps some set $E$ of $\dim_HE=0$ onto a set $F$ of $\dim_H[0,1]\setminus F=0$.
Idempotents Of The Green Algebras Of Finite Dimensionalpointed Rank One Hopf Algebras Of Nilpotent Type,
2016
TÜBİTAK
Idempotents Of The Green Algebras Of Finite Dimensionalpointed Rank One Hopf Algebras Of Nilpotent Type, Zhihua Wang
Turkish Journal of Mathematics
In this paper, we intend to study idempotents of the Green algebra (complexified Green ring) of any finite dimensional pointed rank one Hopf algebra of nilpotent type over the complex number field. We first determine all one dimensional representations of the quotient algebra of the Green algebra modulo its Jacobson radical. This gives rise to all primitive idempotents of the quotient algebra. Then we present explicitly primitive idempotents of the Green algebra by lifting the ones of the quotient algebra. Finally, as an example, we describe all primitive idempotents of the Green algebra of the Taft algebra $T_3$.
A New Aspect To Picard Operators With Simulation Functions,
2016
TÜBİTAK
A New Aspect To Picard Operators With Simulation Functions, Murat Olgun, Tuğçe Alyildiz, Özge Bi̇çer
Turkish Journal of Mathematics
In the present paper, considering the simulation function, we give a new class of Picard operators on complete metric spaces. We also provide a nontrivial example that shows the aforementioned class properly contains some earlier such classes.
