Physical Sciences and Mathematics Commons^™

A Growth Mindset: Fostering Resilience And Success In The Middle School Mathematics Classroom, Mary Jicha

Liberty University Research Week

Undergraduate

Applied

A Statistical Comparison Of Hebrews To Accepted Pauline And Lukan Corpora, Benjamin Erickson

Liberty University Research Week

Undergraduate

Applied

The Mceliece Cryptosystem As A Solution To The Post-Quantum Cryptographic Problem, Isaac Hanna

Liberty University Research Week

Undergraduate

Theoretical Proposal

Preliminary Results On The Use Of Machine Learning For Advance Controls Of A Dielectric Elastomer Actuator, Nathanael Gentry, Carson Farmer, Hector Medina

Liberty University Research Week

Undergraduate

Applied

Potential Connections Between Graph Theory And Materials Modeling, Rachel Drake, Hector Medina

Liberty University Research Week

Undergraduate

Applied

Reviving The Media Station: A Study In Reverse Engineering, Nathanael Gentry, Melesa Poole

Liberty University Research Week

Undergraduate

Applied

A Short Journey Through The Riemann Integral, Jesse Keyton

2014-2016 Undergraduate

An introductory-level theory of integration was studied, focusing primarily on the well-known Riemann integral and ending with the Lebesgue integral. An examination of the Riemann integral's basic properties and necessary conditions shows that this integral is not very strong. This conclusion leads to Lebesgue's necessary and sufficient condition for Riemann integrability, perhaps where the Riemann integral ends and the Lebesgue integral begins: a function defined on a closed integral [a, b] is Riemann integrable if and only if the function is discontinuous on a set of measure zero. The proof of this uses that the infinite union …