Translating Math to English

 \[x_{1}\] is x with 1 as a subscript and  \[x_{2}\] is x with 2 as a subscript

For a lot of people, math is sometimes hard to understand. For people like me, math is always hard to understand. If you're like me, and don't understand mathematics, it is probably because mathematicians devote their lives to finding ways to confuse and deceive non-mathematicians. This does not mean, however, that you cannot understand mathematics. By simplifying the language in math, you can suddenly understand much more than you previously thought you could. Here are some examples of translating math to English:

Math talk: A function f is increasing on an interval if, for any \[x_{1}\] and  \[x_{2}\] in the interval, \[x_{1}< x_{2}\] implies \[f(x_{1})< f(x_{2})\].

Wow. Sounds tricky, doesn't it? But that is only because of the way it is written. If we break it down, we can understand the meaning. First, we should say that an interval is a section of a graph.  Now let's look at " for any \[x_{1}\] and  \[x_{2}\] in the interval, \[x_{1}< x_{2}\] ". This simply means that there are two x-values on a graph, and one of those values lies to the left of(is less than) the other point. Now for "  \[f(x_{1})< f(x_{2})\] ".  This means that the y-value that corresponds to the x-value on the left is below(less than) the y-value that corresponds to the x-value on the right. An x and y value make a point. So one point is to the left of and below the other. In the end, we get this " A function is increasing at a certain section if, in that section, any point that is to the left of another point is also below that point."

Peace bro-

Andrew Geller

http://www.youtube.com/watch?v=v-pyuaThp-c