Dr. Dennis Bell / UNF

Associative Binary Operations and the Pythagorean Theorem

Abstract: The Pythagorean Theorem is one of the oldest and most famous results in
geometry, perhaps in all of mathematics. The theorem is known to every school
boy and girl. It has been given hundreds of different proofs over the ages.
About 20 new proofs were discovered by Dr. Tong and his students alone! In this
talk we present a new angle on the Pythagorean theorem (no pun intended). The
idea is to derive the wellknown formula from certain “obvious” qualitative
properties. This novel approach to PT was initiated by L. Berrone in a paper in
the American Mathematical Monthly and continued by the speaker. It has
the interesting feature of bringing together two very different branches of
mathematics, the ancient subject of Euclidean geometry and the much more recent
area of functional equations. Along the way, a surprising proof pops out. 
Tuesday Oct 17th
12:15 – 1:15 pm
Math Lab 14E/2743

Dr. Dinh, Dr. Dumitru, and Dr. Franco/UNF Dr.

Information regarding the Quantun Theory and Matrix Analysis

Here are
some sources on quantum information theory.
1
Nielsen's book: http://wwwreynal.ensea.fr/docs/iq/QC10th.pdf
This is
one of the most famous and most cited books in the history (~30200 citations)
2
Majorization in quantum information theory (again this is a paper of
Nielsen): http://michaelnielsen.org/papers/majorization_review.pdf
3 Another
book is http://www.springer.com/us/book/9783540746348.

Thursdays
1 pm
Building14E/2738

Dr. Daniel Dreibelbis

Freakin's Big Numbers

Abstract:
We all know that numbers go on forever; numbers are infinite. But what numbers do we actually use? What are the biggest numbers that show up in
science and mathematics? In this talk,
we present some of these really big numbers that show up in physics, number
theory, cryptography, and graph theory.
Then we laugh at their puny existence as we learn about Graham’s Number,
a Guinness Book of World Record holder for the biggest number ever used in a
mathematics proof. 
Thursday, Nov. 7th
12:15 – 1:15 pm
Math Lab 14E/2743

Tim
Muzzey,
FCAS  Director, Commercial Lines Pricing
AND
Lingmin
Jiang,
ACAS, CSPA  Actuarial Consultant, Commercial Lines Pricing

The
Main Street America Group Actuarial Internship Program (Summer of 2018) 
Abstract: Great opportunities await you at The Main Street America Group! The Main Street
America Group is a billiondollar superregional property & casualty
insurance company, providing products in 36 states. You will have the
opportunity to build skills in a professional work environment, work directly
with our managers and executives, and gain valuable work experience toward
employment in the insurance industry. 
Tuesday, Feb. 6th
12:15 – 1:15 pm
Math Lab 14E/2743

Mr. Chudamani Poudyal 
TEstimation of Claim Severity Distributions 
Abstract: Parametric
statistical models for insurance claims severity are continuous, rightskewed,
and frequently heavytailed. The data sets that such models are usually fitted
to contain outliers that are difficult to identify and separate from genuine
data. Moreover, due to commonly used actuarial \loss control schemes", the
random variables we observe and wish to model are an ected by truncation (due
to deductibles), censoring (due to policy limits), scaling (due to coinsurance
proportions) and other transformations. In the current practice, statistical
inference for loss models is almost exclusively likelihood based, which
typically results in nonrobust parametric estimators, pricing models, and risk
measures. In this talk, we redesign the method of trimmed moments (Brazauskas,
Jones, Zitikis, 2009) to accommodate the loss variable transformations,
establish its asymptotic and smallsample properties, and study its practical
performance in applications. For numerical illustrations, we use the Norwegian
Fire Claims Data Set for the year 1975. 
Tuesday, Feb. 20th
12:15 – 1:15 pm
Math Lab 14E/2743

Dr. JaeHo Lee 
Leonard pairs 
Abstract: Roughly speaking, a Leonard pair consists of two diagonal linear transformations on a finitedimensional vector space, each of which acts in an irreducible tridiagonal fashion on an eigenbasis for the other one. In this talk, we give several examples of Leonard pairs and illustrate how Leonard pairs arise in representation theory and the theory of orthogonal polynomials. This talk is aimed at an undergraduate audience with little background in linear algebra. We do not assume prior knowledge of representation theory or the theory of orthogonal polynomials. 
Thursday, Feb. 22th
12:15 – 1:15 pm
Math Lab 14E/2743

Mr. Joseph Ferrara, Product Manager, GleanView 
The link between college and workplace 
Former UNF student and UNF SIAM officer Joseph Ferrara will join us to talk about the link between college and workplace as a Math/Stat major. He will talk about his experiences and also what employers need from math/stat majors. Before his talk we will also have an open discussion about SIAM in general and what our club has to offer. 
Tuesday, Feb. 27th
12:15 – 1:15 pm
Math Lab 14E/2743

Dr. Buzaianu and Dr. Czerwinska , Professors, Department of Mathematics and Statistics 
Selecting among Treatments with Two Binary Endpoints*
and
Monotonicity Properties in Symmetric Spaces of Measurable Operators**

*In phase II clinical trials, new treatments/therapies are studied relative to both treatment efficacy and safety. We propose a procedure for selecting a random size subset that contains all experimental treatments that are better than the standard. The comparison is with regard to two binary endpoints, in order to account for both treatment efficacy and safety. An experimental treatment is considered to be better than the standard if its two endpoints have successful rates higher than those associated with the standard. We derive the probability of a correct selection for our procedure and show that, whenever an experimental treatment is significantly better than the standard, our procedure achieves the probability requirements predetermined by the experimenter.
**There are many known connections in Banach lattices between monotonicity and convexity properties. I will discuss my work aiming to generalize those relations to symmetric spaces of measurable operators E(M,τ). I will also establish a new relation between upper monotone points and kextreme points, which was not even known for function spaces. Finally, I will consider how monotonicity properties in E are reflected in E(M,τ), and vice versa. Let M be a nonatomic, semifinite von Neumann algebra with a faithful, normal, σfinite trace τ. The symmetric spaces E(M,τ) consists of all τ measurable operators x for which the singular value function μ(x) belongs to E and is equipped with the norm E(M,τ)  =μ(x)E.
These researches were supported by 2017 UNF Summer Scholarship Grant

Friday, April 27th
12:00 – 1:00 pm
Math Lab 14E/2743

Mr. Hochwald* and Mr. Denteh** , Product Manager, GleanView 
Using the EM Algorithm for Normal Mixture Models with Unknown Parameters
and
Split Plot Design

*This presentation will explore the ways in which the EM algorithm is used to estimate the unknown parameters for normal mixture models with two components. The methods behind the algorithm will be discussed in detail, and there will be a simulated example included to illustrate the workings of the algorithm.
**In some multifactor factorial experiments, we may be unable to completely randomize the order of runs. This often results in a generalization called the split plot design. In this presentation, we describe the split plot design and provide an example.

Monday, April 23, 2018
1:30 – 2:30 PM
Math Lab 14E/2743
