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Originally posted by pineappleupsidedown
i do not know how algebra seems like a conspiracy to you.
To say you get mad when people use algebra is to get mad at yourself.
Posting on this website, you are sending the information you want displayed to the world through many different alegbra and logic equations.
This is the most relevant example at this exact moment, but there are other times I am sure you unwittingly use algebra and calculus. Its just that other people have done extra work so that you wont have to think as hard about math.
---Pineapple
Originally posted by ImplementOfWar
Calculus is useless.
Originally posted by crontab
All branches of mathematics are related to some degree. So, you can't really say which proves more theorems. The calculus is a method of calculating areas, and finding the rates of change, but behind it is a whole area of theoretical mathematics, called analysis. Combinatorics foundation is built upon what is called abstract algebra.
Basically, Analysis concerns itself with the best approximations of what cannot be precisely known. For instance consider the sequence [3, 3.1, 3.14, 3.141, 3.1415, 3.14159, 3.141592, ...]. Each number gets successively closer to PI. However, we can never write an exact decimal for PI. You can similarly visualize this by considering C=2*PI*r for a circle. You can approximate a circle by drawing equilateral shapes with 3,4,5,... sides, and taking the ratio of a point from the center to the edge, and the circumference.
In abstract algebra, we are more concerned with operations, like mulitiplication, addition, and subtraction. However, we can also be concerned with things like how many different ways are there to rotate a wheel. For instnace, if you have 60-sided ferris wheel, and you rotate it past 40 people, and then you rotate it past another 30 people, how far will all the seats be from where they started? Each different type of rotation can be considered a member of a group, and two rotations multiplied together would make up the other rotation.
Originally posted by ImplementOfWar
Originally posted by pineappleupsidedown
i do not know how algebra seems like a conspiracy to you.
To say you get mad when people use algebra is to get mad at yourself.
Posting on this website, you are sending the information you want displayed to the world through many different alegbra and logic equations.
This is the most relevant example at this exact moment, but there are other times I am sure you unwittingly use algebra and calculus. Its just that other people have done extra work so that you wont have to think as hard about math.
---Pineapple
And do you know how algebra is implemented in computer hardware? As arithmetic.
The binary computer langauge is all arithmetic. There is no "algebra" behind the scenes that makes this message board posting possible.
Algebra is still useful, I like algebra. But it is overly complicated in how it is taught.
Calculus is useless.