# Mathematics

All math related content will be sorted by Math Fields, subfields etc.

## Counting Techniques

• Combinations - Combinations are permutations when the order doesn't matter.That is when you just need to choose a certain number of items from a list. For example, when choosing a combination from Continue Reading
• Permutations - Permutations examine the number of ways a group of objects can be ordered, if you have n items, you will have n! ways in which they can be ordered.If you Continue Reading
• Counting Principle - The Counting Principle tells us the number of ways 2, or more, experiments can be performed in orderIf there are only two situations, with the first one having M results Continue Reading

## Foundations

• Some Exponent Rules & Tips - First, what is an exponent? That is the fancy math term for power or degree, we have special terms to use for 2 & 3, which are squared & cubed, Continue Reading
• Using Bases other than Base 10 - We could pick any value to be the base of our number system, in fact many cultures have used other bases over time. For example, the Babylonian used base 60 Continue Reading
• Number Systems & Place Value - In the United States, and many places in the World, a decimal place value system with Hindu-Arabic numerals is used. However, this is not the only form of writing numbers Continue Reading
• Some Math Basics - There are many fields in Mathematics, the most commonly thought of fields are Algebra, Geometry, and Statistics. Even these fields have more depth to them than the average person will Continue Reading

## Logic

• De Morgan’s Laws - De Morgan's Laws are used in Set Theory, Logic, and several other related fields. Both pairs of equivalencies mean the same, but the two fields use slightly different notation. Using Continue Reading
• Mathematical Logic - Mathematical Logic is a formalized method of analyzing situations. Boolean Algebra is related to this topic. Charts or tables are used with particular symbols for each of the operators. A Continue Reading
• Logic Puzzles - Logic Puzzles these are strategy puzzles. Where argument and reasoning are important. Any situation where Sherlock Holmes might be found. This is closely related to Recreational Math, although, these puzzles Continue Reading

## Probability

• De Morgan’s Laws - De Morgan's Laws are used in Set Theory, Logic, and several other related fields. Both pairs of equivalencies mean the same, but the two fields use slightly different notation. Using Continue Reading
• More Definitions & Other related Probability Topics - Law of Large Numbers states that the more times an experiment is performed the closer the Empirical Probability gets to the Theoretical Probability. This does not mean that 'your number Continue Reading
• Expected Value & Fair Price - Expected Value is the sum of the products of the probabilities with their values.This time the formula may be easier to read, but we will keep it simple. We could Continue Reading
• Odds Against & Odds In Favor - Odds Against is the ratio of the probability of failure to the probability of success, and is written with a colon for the answer.Odds Against = P(Failure)/P(Success), so re-examining the Continue Reading
• Probability Basics - Base DefinitionsExperiment is a controlled operation that yields a set of resultsOutcome is each individual resultEvent is a collection of the resultsEqually likely outcomes is when each outcome has the Continue Reading