<?xml version="1.0" encoding="UTF-8"?><rss xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:content="http://purl.org/rss/1.0/modules/content/" xmlns:atom="http://www.w3.org/2005/Atom" version="2.0"><channel><title><![CDATA[Topics tagged with mth633]]></title><description><![CDATA[A list of topics that have been tagged with mth633]]></description><link>https://community.secnto.com//tags/mth633</link><generator>RSS for Node</generator><lastBuildDate>Mon, 08 Jun 2026 20:48:32 GMT</lastBuildDate><atom:link href="https://community.secnto.com//tags/mth633.rss" rel="self" type="application/rss+xml"/><pubDate>Invalid Date</pubDate><ttl>60</ttl><item><title><![CDATA[MTH633 Assignment 2 Solution and Discussion]]></title><description><![CDATA[Please share idea
]]></description><link>https://community.secnto.com//topic/1502/mth633-assignment-2-solution-and-discussion</link><guid isPermaLink="true">https://community.secnto.com//topic/1502/mth633-assignment-2-solution-and-discussion</guid><dc:creator><![CDATA[zareen]]></dc:creator><pubDate>Invalid Date</pubDate></item><item><title><![CDATA[MTH633 Assignment 1 Solution and Discussion]]></title><description><![CDATA[@zareen said in MTH633 Assignment 1 Solution and Discussion:

Write down the elements of group   under composition

Test 0: Is the operation associative? If not, then you’re done. 𝑇(𝑆)
is not a group. If the operation is associative, then proceed to…
Test 1: Does the set 𝑇(𝑆)
contains an identity? If you have a candidate function in 𝑇(𝑆), then what equations must it satisfy? Does it? If not, then 𝑇(𝑆)
is not a group. If you do have an identity, then proceed to…
Test 2: Does every element of 𝑇(𝑆)
have an inverse? Given an arbitrary function in 𝑓∈𝑇(𝑆), can you write down its inverse 𝑓−1∈𝑇(𝑆)? What equation must 𝑓 and 𝑓−1 satisfy? (Hint: you need the identity function.) If any function fails to have an inverse, then 𝑇(𝑆)
is not a group. If every function does have an inverse, then…
Congratulations! Your set 𝑇(𝑆)
is a group.
Reff
]]></description><link>https://community.secnto.com//topic/778/mth633-assignment-1-solution-and-discussion</link><guid isPermaLink="true">https://community.secnto.com//topic/778/mth633-assignment-1-solution-and-discussion</guid><dc:creator><![CDATA[zareen]]></dc:creator><pubDate>Invalid Date</pubDate></item></channel></rss>