Publications by Patrick Ford
Time Dilation
Time dilation is a phenomenon predicted by Albert Einstein’s theory of special relativity. It states that time can appear to pass at different rates for two observers, depending on their relative motion. The faster an object is moving relative to another observer, the more time slows down for that object relative to the observer at rest. The equa...
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Gravitational Time Dilation
Gravitational time dilation is another aspect of Einstein’s theory of general relativity, and it states that time passes at different rates in regions of different gravitational potential. Essentially, the stronger the gravitational field, the slower time progresses. The formula for gravitational time dilation is given by: \[ \Delta t' = \Delta t...
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Space Travel - Time Dilation (velocity) & Gravitational Dilation
The interplay between time dilation and gravitational time dilation becomes significant in scenarios involving space travel, especially when considering missions to distant planets like Mars. Space Travel Scenario: High-Speed Space Travel: As a spacecraft travels at high speeds approaching the speed of light, the effects of time dilation due to ...
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Time Series Plot (Monochrome) of Monarchs in England (1066-2024)
The plot provides a visual representation of the lengths of monarch reigns in England over the specified time period. Code explanation is below the code chunk. install.packages("tidyverse") ## Installing package into '/cloud/lib/x86_64-pc-linux-gnu-library/4.3' ## (as 'lib' is unspecified) library(tidyverse) ## ── Attaching core tidyverse packa...
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Time Series Plot (Colour) of Monarchs in England 1066-2024
The plot visualises the reigns of monarchs in England from 1066 to 2024, with colour-coded houses. Code explanation is below the code chunk. install.packages("tidyverse") ## Installing package into '/cloud/lib/x86_64-pc-linux-gnu-library/4.3' ## (as 'lib' is unspecified) library(tidyverse) ## ── Attaching core tidyverse packages ────�...
1012 sym R (2160 sym/6 pcs) 1 img
Time and Musashi
Weaving the Golden Thread: Miyamoto Musashi’s Timeless Wisdom in “The Book of Five Rings” Miyamoto Musashi, a legendary Japanese swordsman and philosopher of the 17th century, left an indelible mark on the realms of martial arts and strategy. Central to his teachings is the renowned work “Gorin no Sho” or “The Book of Five Rings.” Wit...
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Mars Calendar
Creating a Mars time system, including a calendar, involves considering the unique characteristics of the Martian day (sol) and year. Here are the key steps and considerations for developing a Mars timekeeping system: Martian Day (Sol): Length of a Sol: A Martian day, or sol, is approximately 24.6 hours, 39 minutes, and 35.244 seconds long. This...
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Euro Millions Lottery.
Predicting the next 10 winning lines, using historical data (180days (06/09/2023 - 12/01/2023)). Code explanation below code chunk. library(tidyverse) ## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ── ## ✔ dplyr 1.1.4 ✔ readr 2.1.4 ## ✔ forca...
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Euro Millions Lottery.
Predicting the next 10 winning lines, using historical data (180days (06/09/2023 - 12/01/2023)). Code explanation below code chunk. library(tidyverse) ## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ── ## ✔ dplyr 1.1.4 ✔ readr 2.1.4 ## ✔ forca...
2026 sym R (4025 sym/6 pcs)
UK National Lottery
Predicting Lottery Numbers Based on Observed Frequencies: Explanation: This R code aims to predict future lottery numbers by analysing the historical frequencies of winning numbers. The code loads lottery data, reshapes it for analysis, and calculates the observed frequencies of each winning number. Rather than adhering to a specific probability ...
2756 sym R (4401 sym/14 pcs) 1 img