2015年5月7日 · $\log_2 (3) \approx 1.58496$ as you can easily verify. $ (\log_2 (3))^2 \approx (1.58496)^2 \approx 2.51211$. $2 \log_2 (3) \approx 2 \cdot 1.58496 \approx 3.16992$. $2^ {\log_2 …

2013年11月17日 · That's because the $9$ on the right hand side could have come from squaring a $3$ or from squaring a $-3$. So, when you square both sides of an equation, you can get extraneous …

2022年1月2日 · we can square both side like this: $ x^2= 2$ But I don't understand why that it's okay to square both sides. What I learned is that adding, subtracting, multiplying, or dividing both sides by the …

7 Short answer: We can't simply square both sides because that's exactly what we're trying to prove: $$0 < a < b \implies a^2 < b^2$$ More somewhat related details: I think it may be a common …

2016年4月20日 · I understand that you can't really square on both the sides like I did in the first step, however, if this is not the way to do it, then how can you really solve an equation like this one (in which …

2020年9月28日 · This is certainly true about 'metre square'. You might however think there is a different meaning to 'metre squared' and 'metre square', as perhaps Paul does. I was explicitly taught the …

2025年11月5日 · An example where $\dim_k I =1$ is given by the ideal $\langle \overline {x} \rangle$ in the $k$ -algebra of dual numbers $A = k [x]/\langle x^2 \rangle$. However, I am not able to generalize …

A key feature of least squares (which a median-based approach lacks) is that it is unbiased, i.e., the sum of the errors is zero. By the Gauss-Markov Theorem, least-squares is the best linear unbiased …

2022年6月2日 · Does anyone know how to type logarithmic functions into Desmos graphing calculator (https://www.desmos.com/calculator) ? I need to type a function, in which y equals ...

2016年11月12日 · The question is: If A is a square matrix such that $A^2=A$ then $A^n =A$ for all natural numbers $n$ greater than one. What is $A$ if $A \ne 0$ and $A \ne I$. I figured out an answer …