• Today, 06:33
(Nod) Oh yes, that's what I meant. I wrote the time complexity when using the repeated squaring trick. I understand... (Smile)
17 replies | 341 view(s)
• Today, 05:18
Thanks for the help, Euge ... I now have a way now to prove that 1 \gt 0 but I am concerned because it involves what Sohrab lists as a subsequent...
3 replies | 54 view(s)
• Yesterday, 05:06
I am reading Houshang H. Sohrab's book: "Basic Real Analysis" (Second Edition). I am focused on Chapter 2: Sequences and Series of Real Numbers...
1 replies | 40 view(s)
• Yesterday, 03:40
Yep. (Nod) So we can indeed extend f to a continuous function with $f(x,0)=x^2\frac\pi 2$, $f(0,y)=y^2\frac\pi 2$, and $f(0,0)=0$.
3 replies | 57 view(s)
• Yesterday, 03:11
I am reading Houshang H. Sohrab's book: "Basic Real Analysis" (Second Edition). I am focused on Chapter 2: Sequences and Series of Real Numbers...
3 replies | 54 view(s)
• Yesterday, 02:51
I think I have made some progress with showing that \frac{a}{2} \gt 0 ... We have 2 \gt 0 (can we say this? How is this justified?) and so...
1 replies | 28 view(s)
• Yesterday, 00:25
After a little reflection ... I have come to the following solution ... To show that a \in \mathbb{R} \ \{ 0 \} \Longrightarrow a^2 \gt 0 ......
1 replies | 32 view(s)
• Yesterday, 00:06
I am reading Houshang H. Sohrab's book: "Basic Real Analysis" (Second Edition). I am focused on Chapter 2: Sequences and Series of Real Numbers...
1 replies | 32 view(s)
• August 17th, 2017, 23:56
I am reading Houshang H. Sohrab's book: "Basic Real Analysis" (Second Edition). I am focused on Chapter 2: Sequences and Series of Real Numbers...
1 replies | 28 view(s)
• August 17th, 2017, 15:03
Hey laura123! To extend $f$ to a continuous function on $\mathbb R^2$ we need that for every $x_0$ the limit $\displaystyle\lim_{(x,y)\to(x_0,0)}... 3 replies | 57 view(s) • August 17th, 2017, 11:57 Note that 10426 / 163652 = 6.4%. It's the distribution of the abortions over the age groups as a percentage. 3 replies | 102 view(s) • August 17th, 2017, 06:05 Thanks Opalg ... it gives me great confidence when you or Evgeny confirm my effort ... Thank you ... Peter 3 replies | 60 view(s) • August 17th, 2017, 05:45 After some reflection I have a proposed solution ... To show \text{lim}_{ n \rightarrow \infty } = 0 Now ... for any \epsilon \gt 0 the... 3 replies | 60 view(s) • August 17th, 2017, 05:09 In his book: Introduction to Real Analysis, Manfred Stoll does not prove parts (a) and (b) of Theorem 2.2.6 on the limits to certain special... 3 replies | 60 view(s) • August 17th, 2017, 02:10 Small quibble...axis of symmetry is: t=-\frac{1}{105} So, since the parabola opens up, the vertex is a minimum, so the minimum distance will be... 8 replies | 155 view(s) • August 17th, 2017, 00:59 For a parabola of the form: f(x)=ax^2+bx+c We know the axis of symmetry is at: x=-\frac{b}{2a} So, for: 8 replies | 155 view(s) • August 16th, 2017, 21:58 Isn't this question a duplicate of the following? 231.12.3.65 Determine the smallest distance between a point and a line 1 replies | 37 view(s) • August 16th, 2017, 11:27 Hi ConfusedCat! Welcome to MHB! ;) We would need to test for independence of 2 continuous variables. For instance this link gives a couple of... 2 replies | 58 view(s) • August 16th, 2017, 03:25 Thanks for the critique ... and sorry for a couple of typos ... Really appreciate your feedback ... it is really helpful ... Peter 8 replies | 129 view(s) • August 16th, 2017, 03:08 Hi Evgeny ... Well! Thank you for all the guidance and support ... not only with the logic of proofs ... but also with Latex ... I appreciate... 3 replies | 68 view(s) • August 15th, 2017, 05:40 I am reading Houshang H. Sohrab's book: "Basic Real Analysis" (Second Edition). I am focused on Chapter 2: Sequences and Series of Real Numbers... 3 replies | 68 view(s) • August 14th, 2017, 22:25 Thanks Evgeny ... indeed! see your point! Nevertheless ...Will try a direct proof that \bigcap_{n=1}^\infty I_n is not open ... Step (1):... 8 replies | 129 view(s) • August 14th, 2017, 17:42 I like Serena replied to a thread [SOLVED] 12 DeMoivre's theorem in Trigonometry Sorry for running ahead on the material you're learning. (Blush) 13 replies | 237 view(s) • August 14th, 2017, 16:59 I like Serena replied to a thread [SOLVED] 12 DeMoivre's theorem in Trigonometry$\cis$means: $$\cis\phi=e^{i\phi}=\cos\phi + i\sin\phi$$ It's a shorthand. 13 replies | 237 view(s) • August 14th, 2017, 11:07 If$\vec{AB}$is perpendicular to the line$L_1$, we should have that$\vec{AB}\$ is perpendicular to the direction vector...
2 replies | 87 view(s)
• August 14th, 2017, 01:14
Hmm ... just been pointed out to me (on the Physics Forums) that the intersection being closed doesn't mean it is not open ... Oh well ... back to...
8 replies | 129 view(s)
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