The main difference between use cases and class diagrams is that a diagram shows how data is related. On the other hand, use cases show how a user uses a system.
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UML (Unified Modeling Language) is a diagramming "language" used primarily for software design. It is called Unified because it standardizes several slightly disparate elements (e.g. uses cases, class diagrams, sequence diagrams). XML (eXtensible markup language) is a language for storing and exchanging data in software, such are storing documentation or passing messages between applications. The word "extensible" is used because the language itself has provisions for creating and using user defined "tags".
Algebra 1 is a class/course that is on a higher level than Algebra.
You cannot - except in very trivial cases.
There is no difference as they are both used for simplifying complex stuff used somewhat as explanations during lessons. An example is a representation of a class or a group of things, while an analogy is a comparison made for clarifying between two or more dissimilar things. For example, an analogy about ecosystems would be something like a class room consisting of several students of different races. An example about ecosystems would be something like a tropical rainforest ofr a pond
midpoint between 4-16