Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...
We design a numerical scheme for solving a Dynamic Programming equation with Malliavin weights arising from the time-discretization of backward stochastic differential equations with the integration ...
The circumference of a sphere is measured to be 24 cm, with a possible error of 0.25 cm. Use the differential \(dV\) to estimate the maximum error in the calculated ...
We consider a rough differential equation indexed by a small parameter ε > 0. When the rough differential equation is driven by fractional Brownian motion with Hurst parameter H (1/4 < H < 1/2), we ...
The area \(A\) of a square of side length \(s\) is \(A=s^2\text{.}\) Suppose \(s\) increases by an amount \(\Delta s=ds\text{.}\) Draw a square and then illustrate ...
This project explores a novel approach to approximating Euler's Number (e) through fundamental concepts in Geometry and Probability, making it accessible to high school students. Unlike traditional ...
Abstract: Mobile, wearable, and implantable devices integrate an increasing number and variety of sensors such as microphones, image sensors, and accelerometers. These devices spend substantial ...
Check out this spice amplifier model. A basic Spice model that simulates an amplifier’s bandwidth, magnitude, phase, and transient response can be up and running in as little as three lines of code.
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