Mathematical ideas are often divided into two types, those that are continuous, and those that are discrete.

An example of continuous is the number line. Between any two points, there are always more points.

For discrete sets, this is not true. For instance, in baseball there are four bases. If you get a hit it is either a one-base hit (what we call a single), a two-base hit, a three-base hit, or a home run. There is no such thing as a 2 1/2 base hit.

Discrete things are found in bundles or lumps, and you can only have certain numbers of them.

Money is another discrete idea because you can not sell anything for $0.005. Prices can be grouped for specials, like 2 for 99 cents, but if you buy one it is either 49 cents or 50 cents. Discrete does not mean it has to be whole numbers, but it does mean there are only some that can be chosen, and some can not.

Discrete sets can be infinite, but they can not be infinitely divisible. For example, the counting numbers from 1 to infinity are discrete, because, like the bases in baseball, you go from one to two and then to three but not the points in between. The number line from 0 to 1 is not discrete but continuous, because between any two points in the set, there is always another point. This is the key that makes the difference. In discrete we can talk about things that are "next to" each other, with nothing between them, while in continuous sets we cannot.

...Create an n-ary relation, in table form, that depicts possible results of 10 trials of the game. Include the following results of the game:
Number
Color
Odd or even (note: 0 and 00 are considered neither even nor odd.)
Also include a primary key. What is the value of n in this n-ary relation?
The primary key is the trial attempts, the reason for this is because only one attempt can be linked to that trial attempt, therefore making it unique. The value of n is four....

...DISCRETEMATHEMATICSDiscretemathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discretemathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values....

...slavery, cruelty and brutality towards his beloved fellowmen. Rizal expresses his willingness to die for his motherland and bids goodbye to his love ones, his country and to all people whom he cared for. He wishes that the youth of today will continue what he had just started for the independence that he had fight for and he is also thankful of some Filipino’s who had just committed their lives for the love of their motherland. He never resented of putting his life in danger and...

...REFLECTIVE JOURNAL OF HANDOUT 1 ; WHAT IS THE PHILOSOPHY OF MATHEMATICS EDUCATION
According to the journal that written by Paul Ernest from University of Exeter that discuss mainly about the philosophy of Mathematics Education. After the presentation that had conducted by my friends about the topic and had been clarified by our lecturer my understanding about the philosophy in overall and specifically the philosophy in mathematics...

...Mathematics is defined as the science which deals with logic of shape, quantity and arrangement. During ancient times in Egypt, the Egyptians used maths and complex mathematic equations like geometry and algebra. That is how they managed to build the pyramids.
Our day today life would be quite strenuous without maths knowledge. There are many ways in which people use maths during the day today living. Below are some ways in which people use maths in daily lives....

...History of mathematics
A proof from Euclid's Elements, widely considered the most influential textbook of all time.[1]
The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
Before the modern age and the worldwide spread of knowledge, written examples of new mathematical...

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