As of my last knowledge update in October 2021, there isn't a widely recognized figure, concept, or thing specifically known as "Bradley Alpert." It's possible that he could be a private individual, a professional in a certain field, or a fictional character. If he has gained prominence or relevance after that date, I would not have that information.

Brigitte Mral does not appear to be a widely recognized figure as of my last knowledge update in October 2021. It is possible that she may be a less-public individual, a character from a specific work of fiction, or someone who gained prominence after that date.

Propensity score matching (PSM) is a statistical technique used in observational studies to reduce selection bias when estimating the effects of a treatment or intervention. It involves creating a matched sample of treated and control units that are similar in terms of their observed covariates, thereby mimicking the conditions of a randomized controlled trial.

The Bullough–Dodd model is a mathematical framework used in the study of fluid dynamics and, more specifically, in the analysis of nonlinear waves. This model can describe various phenomena in physics, including those dealing with non-linear phenomena in fluids and other systems. In the context of fluid dynamics, the Bullough–Dodd model may specifically refer to a specific type of equation or system that combines elements of nonlinear partial differential equations.

Buddhist logic, often referred to as "Buddhist epistemology," is a philosophical tradition that explores the nature of knowledge, reasoning, and the logical foundations of Buddhist thought. It integrates principles from Indian logic with Buddhist teachings and provides a framework for understanding how one comes to know things and how to distinguish between valid and invalid reasoning.

Statistical inequalities refer to mathematical expressions that describe the relationships between different statistical quantities, often indicating how one quantity compares to another under certain conditions or assumptions. These inequalities can be used in various fields, including statistics, probability theory, economics, and information theory.

Euclidean geometry is a mathematical system that describes the properties and relationships of points, lines, planes, and figures in a two-dimensional or three-dimensional space based on the postulates and theorems formulated by the ancient Greek mathematician Euclid around 300 BCE.

In geometry, a "power center" refers to a specific type of point associated with circles. It is usually related to the concept of the "power of a point," which is a measure of how a point relates to a circle in terms of distances.

In the context of mathematics and computer science, particularly in combinatorics, optimization, and certain areas of theoretical computer science, "covering lemmas" refer to a type of result or principle that helps to establish properties of covering structures, such as sets or layouts that cover certain necessary conditions or requirements. ### General Understanding of Covering Lemmas 1. **Purpose**: Covering lemmas are typically used to prove that a set or collection of elements (e.g.