First order of business today was Algebra. I learned about rational expressions. A ratio of two polynomial expressions such as (8+x) / (13+x) is called a rational expression. Because variables in algebra represent real numbers, operations with rational numbers and rational expressions are simple. In fact, to simplify a rational expression, you divide the numerator and denominator by their greatest common factor, just like how you simplify a normal fraction.

Next up, Sociology. I learned about group dynamics. Generally as a rule, the larger a group gets, the less intimacy the group has, but the more stable it is. In a two person group, if one person loses interest it falls apart. In a 100 person group, if a person loses interest then it’s not that big of a deal.

The size of a group can also affect attitude and behavior. Scientists have done experiments that showed that in larger groups, people are less likely to raise an alarm if a person has trouble. In smaller groups, people are far more likely to do so.

Finally, Programming. I learned about floating point numbers today. It’s basically a method of arithmetic that uses a formulaic representation of real numbers, trading precision for range. Put simply, it trades some of the accuracy for being able to display a lot more numbers.