Demonstrations.wolfram.com

Bayes's Theorem and Inverse Probability

WebYou can vary (1) the red point, , the sensitivity of the diagnostic test; (2) the blue point, , where is the specificity of the diagnostic test; and (3) the purple point, , the base rate of …

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URL: https://demonstrations.wolfram.com/BayessTheoremAndInverseProbability/

Accuracy of Series Approximations

WebIn physics and mathematics, series expansions to approximate functions are often used because using the exact solution is either impossible or involves unnecessary …

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Comparing Gamma and Log-Normal

WebThis Demonstration compares the gamma distribution and the log-normal distribution .Both of these distributions are widely used for describing positively skewed data. Various …

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Exact Confidence Intervals for a Single Proportion

WebThis Demonstration shows calculations of point estimations and confidence intervals for various single proportions of populations obeying a condition (or trait), as well as their …

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Nomography for Beginners

WebWolfram Demonstrations Project. Published: May 2 2011. A nomogram or nomograph is a twodimensional diagram designed to quickly approximate the …

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The Space of Inner Products

WebDetails. A positive definite quadratic form (or, equivalently, an inner product) on can be identified with a matrix , where .The bilinear form is then .An invertible matrix …

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Equilibrium Conversion by Gibbs Minimization

WebPublished: January 25 2016. Gasphase catalytic dehydrogenation of 1Butene gives 13Butadiene by the reaction This Demonstration plots the Gibbs free energy actually …

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Fick's Law Applied to Pulmonary Fibrosis

WebWolfram Demonstrations Project. Published: April 4 2017. This Demonstration shows the rate of diffusion in an alveolus using Ficks lawThis equation shows that variables that …

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Orthonormal Scales in a Nyquist Diagram

WebOrthonormal scales should be used for Nyquist impedance plots. The length from 0 to 1 along the imaginary axis should be equal to the length from 0 to 1 along the real axis. …

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Network Motifs and Graphlets

WebNetwork graphlets and motifs are statistically highly recurrent patterns in graphs and networks that have been found to characterize families of networks and shed …

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Calculation of Diagnostic Accuracy

WebThe calculated measures are the sensitivity, the specificity, the positive predictive value (PPV), the negative predictive value (NPV), the (diagnostic) odds ratio …

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SIR Epidemic Dynamics

WebThe SIR model is described by the differential equations. and refer to the fraction of the population in the susceptible and infected groups, respectively. When initial conditions …

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Reed-Frost SEIR Model

WebThe Reed–Frost model for infection transmission is a discrete time-step version of a standard SIR/SEIR system: Susceptible, Exposed, Infectious, Recovered prevalences ( …

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Path of Blood Flow in Circulatory

WebDetails. This was a project for Advanced Topics in Mathematics II, 2016–2017, Torrey Pines High School, San Diego, CA. Reference [1] New Health Advisor.

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Locus of a Pressure-Sensitive Binary Azeotrope

WebConsider a binary mixture of ethanol and water at low to moderate pressures The vaporliquid equilibrium VLE behavior is described by a modified form of Raoults law with …

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Life Transitions

WebDuring the 1990s Dr. James Robinson an actuary combined a careful examination of data and a continuous-time Markov model to develop a mathematical method for estimating …

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Steady-State Binary Fickian Diffusion

WebThis Demonstration shows a calculation of the concentration profile and the mass flow rate of octane vapor through a tube in steady-state Fickian diffusion. Pure liquid octane is at …

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Project Projectile

WebProject. Projectile. Copying Three humans play this game; the computer does not play. The goal is simple: blow each other up. Your "health" is given by the …

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Outlet Stream Temperature of an Adiabatic Mixer

WebThis Demonstration computes the outlet stream's temperature using the energy balance equation for nonreactive systems: . The specific enthalpies of air and water are …

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Breadth-First Search Robot Motion

WebFullscreen. This Demonstration shows a resolution-complete planner that finds the shortest path between an initial and final configuration of a two-link, planar-arm robot by using a …

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Actuarial Science

WebExplore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more.

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