This discussion board is a place to discuss our Daily Challenges and the math and science
related to those challenges. Explanations are more than just a solution — they should
explain the steps and thinking strategies that you used to obtain the solution. Comments
should further the discussion of math and science.
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italics
**bold** or __bold__
bold
- bulleted - list
bulleted
list
1. numbered 2. list
numbered
list
Note: you must add a full line of space before and after lists for them to show up correctly
# I indented these lines
# 4 spaces, and now they show
# up as a code block.
print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.
print "hello world"
Math
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Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3
2×3
2^{34}
234
a_{i-1}
ai−1
\frac{2}{3}
32
\sqrt{2}
2
\sum_{i=1}^3
∑i=13
\sin \theta
sinθ
\boxed{123}
123
Comments
0/0 is not defined for two reasons: 1: you can easily find multiple functions which have different behaviours as we get closer to the point in which the dependent variable equals 0/0. Examples of such functions can be y = 1/x, y = x/x, y = 2(x-1)^2, and y= x^2/x. 2: Let's suppose 0/0 could be defined, and represent the possible definition with "a". That would lead us to a = 0/0, which could then be turned into 0a = 0. Doing that would give us absolutely no way to assign "a" a value, as any number (except infinity, as multiplying zero by infinity or minus infinity is undefined, but that's another story) you replace the variable with will satisfy the condition 0a == 0. Note that when you know that 0/0 is undefined, it also means that you can't multiply 0 by a/0 to undo the division by zero, nor divide 0a by 0 to undo the multiplication by zero. I only did that in the second reason because we assumed that there could be a way to define 0/0. We also can't divide a number by 0 without getting the result undefined, by the way. This is why we can't simplify something such as y = (x^2)/x into y = x.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*or_italics_**bold**or__bold__paragraph 1
paragraph 2
[example link](https://brilliant.org)> This is a quote# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"\(...\)or\[...\]to ensure proper formatting.2 \times 32^{34}a_{i-1}\frac{2}{3}\sqrt{2}\sum_{i=1}^3\sin \theta\boxed{123}Comments
0/0 is not defined for two reasons: 1: you can easily find multiple functions which have different behaviours as we get closer to the point in which the dependent variable equals 0/0. Examples of such functions can be y = 1/x, y = x/x, y = 2(x-1)^2, and y= x^2/x. 2: Let's suppose 0/0 could be defined, and represent the possible definition with "a". That would lead us to a = 0/0, which could then be turned into 0a = 0. Doing that would give us absolutely no way to assign "a" a value, as any number (except infinity, as multiplying zero by infinity or minus infinity is undefined, but that's another story) you replace the variable with will satisfy the condition 0a == 0. Note that when you know that 0/0 is undefined, it also means that you can't multiply 0 by a/0 to undo the division by zero, nor divide 0a by 0 to undo the multiplication by zero. I only did that in the second reason because we assumed that there could be a way to define 0/0. We also can't divide a number by 0 without getting the result undefined, by the way. This is why we can't simplify something such as y = (x^2)/x into y = x.
Here are two links that may interest you and other readers: www.khanacademy.org ; www.mathsisfun.com
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indeterminate, not undefined.