This guide explains how to use the interactive features of the Left Identity Element demo page. It covers navigation, tables, and validation tools available on the page.
Use the "Choose a set" dropdown to select the set of elements used in the demo. The available sets include a variety of themed collections such as letters, symbols, and emojis. Each set is preloaded with a unique set of elements to explore the left identity property.
Changing the set automatically updates the elements displayed in the Cayley table and the validation tables.
Use the "Number of elements" dropdown to select the size of the set. This determines the size of the Cayley table and the elements involved in the operation.
The "Positive results" dropdown lets you define how many elements are expected to satisfy the identity property. This affects the results shown in the validation tables.
The Cayley table displays the operation results for each combination of elements. The cells are color-coded to help distinguish the elements visually.
Use the navigation controls at the bottom of the page to explore each step:
This table evaluates whether each row satisfies the left identity property. Results are displayed as either "is an identity element" or "is not an identity element".
This table checks whether the condition e * x = x holds true for each element. Results are marked
as True or False.
The section titled "Left Identity Element (Click to Expand/Collapse)" contains a detailed explanation of the mathematical concept. Click the header to expand or collapse this section.
The page is licensed under the Apache License 2.0. Refer to the license for detailed usage rights.