Understanding Binomial Trees: Definitions, Examples, and Calculations

Explore the binomial tree model's use in option pricing, its workings, and examples. Learn how this model estimates intrinsic ...
Live Science

Law of 'maximal randomness' explains how broken objects shatter in the most annoying way possible

A new mathematical equation describes the distribution of different fragment sizes when an object breaks. Remarkably, the distribution is the same for everything from bubbles to spaghetti. When you ...
IEEE

EMG Probability Density Function: A New Way to Look at EMG Signal Filling From Single Motor Unit Potential to Full Interference Pattern

Abstract: An analytical derivation of the EMG signal’s amplitude probability density function (EMG PDF) is presented and used to study how an EMG signal builds-up, or fills, as the degree of muscle ...
C&EN

An R Shiny Application for Visualizing the Radial Distribution Functions of Hydrogen-Like Atoms

Article subjects are automatically applied from the ACS Subject Taxonomy and describe the scientific concepts and themes of the article. The application presented here utilizes the R Shiny platform to ...
Scientific American

Probability Probably Doesn’t Exist

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...
Frontiers

New alpha power transformed beta distribution with its properties and applications

1 Department of Mathematics, Kotebe University of Education, Addis Ababa, Ethiopia 2 Department of Statistics, Addis Ababa University, Addis Ababa, Ethiopia The main purpose of this paper is to ...
Scientific American

These Are the Most Beautiful Equations, according to Mathematicians

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...
STAT

Removing race adjustment from lung test could mean higher disability payments for Black vets

Removing a patient’s race from an equation used to assess lung function — a change called for by health equity advocates — would mean that the lung disease of nearly half a million Black Americans ...
GitHub

Hydrogen Wavefunctions & Electron Density Plots

Modeling and visualization of bound-state hydrogen eigenfunctions and electron probability densities. Python 3.12.11 Matplotlib 3.10.6 Seaborn 0.13.2 NumPy 2.3.2 SciPy 1.16.1 Quantum mechanics (QM) is ...
PNAS

Bridging the gap between models based on ordinary, delayed, and fractional differentials equations through integral kernels

This study centers on incorporating memory effects (the impact of past events on current states) into mathematical models for population dynamics. It introduces a framework based on the gamma ...
Healio

Race-neutral lung function equations impact spirometry interpretation

Please provide your email address to receive an email when new articles are posted on . Mean FEV 1 and FVC percent predicted changed with use of race-neutral vs. race-specific equations. The impact of ...
Healio

Race-specific lung function equations misclassify patients with ILD eligible for care

Please provide your email address to receive an email when new articles are posted on . Use of race-specific lung function equations resulted in misclassification of patients with ILD eligible for ...