# Articles — Math

Articles tagged Math

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Uncertainty and symmetry
We'll show that probability and uncertainty can be convert each other through quadratic equation. And, we'll also show that the quadratic equation can be transform to homogeneous equation, and some assumptions generate symmetric forms.
Shun Sugiyama
Edge-Disjoint Tree Realization of Tree Degree Matrices that avoid routine induction
Identifying whether a degree matrix has an edge-disjoint realization is an NP-hard problem. In comparison, identifying whether a tree degree matrix has an edge-disjoint realization is easier, but the task is still challenging. In 1975, a sufficient condition for the tree degree matrices with three rows has been found, but the condition has not been improved since. This paper contains an essential part of the proof which improves the sufficient condition.
Ian Seong
V-Formation as Optimal Control
We present a new formulation of the V-formation problem for migrating birds in terms of model predictive control (MPC).
Junxing
FSU-MATH2300-Project7
The last project in Calculus 1 at Fitchburg State. Students work through steps to develop two different formulations of Simpson's Rule for estimating integrals.
Sarah Wright
In this calculus project, students use infinite series to investigate Euler's Equation: $e^{i\pi} + 1 = 0$.