Record Details

Stochastic Dynamics: Modeling of near-complete Cyclotomic Curvatures

Harvard Dataverse (Africa Rice Center, Bioversity International, CCAFS, CIAT, IFPRI, IRRI and WorldFish)

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Title Stochastic Dynamics: Modeling of near-complete Cyclotomic Curvatures
 
Identifier https://doi.org/10.7910/DVN/KC5YBB
 
Creator Imtiaz, Aitzaz
 
Publisher Harvard Dataverse
 
Description

The "Stochastic Dynamics" dataset presents a collection of simulated data representing various dynamic phenomena modeled using mathematical expressions. This dataset is for analyzing complex stochastic processes and proving the storage of stroboscopic dense energy to a evolutionary centre.

Features
  1. Theta (θ): The independent variable representing angles in radians.
  2. Constants (A, B, C, D, J, F, G, H): Parameters influencing the behavior of the mathematical expressions.
    • A, B, C, D: Coefficients and phase shifts affecting the cosine function.
    • J, F, G: Coefficients and phase shifts affecting the sine function.
    • H: Coefficient affecting the exponential growth term.
  3. R: The dependent variable resulting from the mathematical expressions, representing the observed behavior or output.
Data Generation

The dataset consists of 10,000 data points, each corresponding to a unique theta value ranging from 0 to 2π. The constants A, B, C, D, J, F, G, and H are randomly generated within specified ranges to simulate diverse scenarios and capture the stochastic nature of the phenomena under study. The expressions are computed using Python, employing built-in mathematical functions and random number generation techniques to ensure reproducibility and consistency.


Results
The discovery of partial cyclotomic module theorizing bi-injectivity.

 
Subject Mathematical Sciences
Other
 
Date 2024-02-07
 
Contributor Imtiaz, Aitzaz
 
Type Machine-readable