Blog Entry © Monday, July 27, 2026, by James Pate Williams, Jr. and More Importantly the Microsoft AI-Agent, the Microsoft Copilot, Charge and Discharge Data and Graphs for a Relatively New Battery in an Elderly iPhone 5 (2012)

I had the local CELLAIRIS store install a new battery in my iPhone 5 on Wednesday, March 18, 2026. I also purchased a new charging block and charging/sync cable. I am very satisfied with the performance of the new battery and necessary accessories. See the attached Excel spreadsheet for the details. The total cost was a mere $109 USD.

The accompanying Excel Workbook contains six spreadsheets: two charge sheets and four discharge sheets. The charge spreadsheets contain graphs (linear regression curve fitting with equations and R-Square values). The linear regression statistics show that the charging process is highly linear.

I plan on using my old iPhone 5 primarily as a two-step authenticator device. Gone are the days when I used (abused) my phone with playing iTunes music.

Blog Entry © Saturday, July 25, 2026, Solutions of a Linear Second Order Ordinary Differential Equation Initial Value Problem by James Pate Williams, Jr.

Blog Entry © Saturday July 11, 2026, by James Pate Williams, Jr. Testing a LCG PRNG and a CSPRNG

← Back

Thank you for your response. ✨

Blog Entry © Saturday July 4, 2026, by James Pate Williams, Jr. Permutations Etc.

Blog Entry © Wednesday July 1, 2026, by James Pate Williams, Jr., Calculation of the Probabilities of Poker Hands

Blog Entry © Tuesday June 30, 2026, by James Pate Williams, Jr., Exploration of the One and Two-Dimensional Functions Exp(-x * x) and Exp(-x * x – y * y)

Blog Entry © Monday June 29, 2026, by James Pate Williams, Jr. and Microsoft Copilot Tests of Simpson’s Rule and the Monte Carlo Method for Two-Dimensional Functions

Blog Entry © Friday June 19, 2026, by James Pate Williams, Jr. Solution of Two Simple Two-Dimensional Systems and a Three-Dimensional System of Equations

Blog Entry © Thursday, June 18, 2026, by James Pate Williams, Jr. Fourier Series Interpolation of Simple Polynomials