query: Why is $x + x = 2x$, but $X + X \neq 2X$?
positive_passages.docid: 8980
positive_passages.text: What is meant by a "random variable"?
negative_passages.docid: 41655
negative_passages.text: Simple equation for $x$ but getting no proof.
negative_passages.docid: 131336
negative_passages.text: Why does the definition of addition require proofs?
negative_passages.docid: 10400
negative_passages.text: Why adding these two double does not give correct answer?
negative_passages.docid: 5914
negative_passages.text: Proving $\lfloor 2x \rfloor = \lfloor x \rfloor + \lfloor x+0.5\rfloor$
negative_passages.docid: 107726
negative_passages.text: Why sum of two little "o" notation is equal little "o" notation from sum?
negative_passages.docid: 53583
negative_passages.text: Why $e^x$ is always greater than $x^e$?
negative_passages.docid: 31846
negative_passages.text: Does $\neg(x > y)$ imply that $y \geq x$?
negative_passages.docid: 96554
negative_passages.text: Why is $x^0 = 1$ except when $x = 0$?
negative_passages.docid: 98271
negative_passages.text: Why does $(x \to a) ≠ (x = a)$ , But $f(x \to a) = f(x = a)$
negative_passages.docid: 146753
negative_passages.text: Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$
negative_passages.docid: 158335
negative_passages.text: Why is this $0 = 1$ proof wrong?
negative_passages.docid: 122920
negative_passages.text: Why is $y + x = 3$ not the same as $y^2 + x^2 = 9$
negative_passages.docid: 41418
negative_passages.text: $2+2 = 5$? error in proof
negative_passages.docid: 75387
negative_passages.text: A proof that $1=2$. May I know why it’s false?
negative_passages.docid: 133614
negative_passages.text: Why is $x^{\log_x n}=n$?
negative_passages.docid: 1164
negative_passages.text: Why Numpy treats a+=b and a=a+b differently