"Simplest" symbolic equation with "most complex" symbolic answer
The below was inspired by this question, in which the OP was surprised that the "simple" equation $x^3 + x = 1$ could have such a "complex&...
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The below was inspired by this question, in which the OP was surprised that the "simple" equation $x^3 + x = 1$ could have such a "complex&...
Read JournalI am a bit confused about the range of values for signed binary system. If I have $3$ bit to represent a number system, then number range will be given by...
Read JournalSuppose that $X_1,X_2,\dotsc,X_n$ is a random sample of size $n = 5$ of independent random variables from an exponential distribution with parameter $\bet...
Read JournalThe number pattern is $$1,3,6,10,15,\dots$$ Find formula for this pattern. And thus find the 50th pattern. I have problems in trying to come out with thes...
Read JournalWhat does consists of mean exactly, say in an arithmetic progression of length $n$ consists of prime numbers? Are there only prime numbers or must there b...
Read JournalI am trying to find $\lim_{x \to 0^+} x^{\sqrt{x}}$ using L'Hospital's Rule. I've differentiate the function, but it doesn't seem like...
Read JournalMy textbook on descriptive statistics says that when we have a data set of m members, the mean is calculated like this: x-bar = 1/m (Σfixi) where sigma su...
Read JournalI recall learning the phrase "a vector is something with magnitude and direction" many years ago. It dawned on me that "magnitudes" are well defined as nu...
Read JournalIf $f$ represents the function $f(x)$ and $g$ represents the functions $g(x)$, is $(f \circ g)\circ f$ essentially $f(g(f(x)))$? I know that: $(f \circ g)...
Read JournalHow do I answer this without using a calculator? $$\sum_{x=1}^{20}8x^{3}$$
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