• 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, 20:20
yes a miscalculation found the answer is 43524 the solution has been edited what a shame ! my poor calculation
5 replies | 130 view(s)
• Yesterday, 11:01
$f(x)=x^3+20x-17$ $f(r)=r^3+20r-17=0---(1)$ ($r$ is a root of $f$) $f(r+1)=(r+1)^3+20(r+1)-17=3r^2+3r+21$ from $(1):$...
5 replies | 130 view(s)
• Yesterday, 09:39
I am unable to derive /understand (4)
5 replies | 130 view(s)
• Yesterday, 09:04
my solution: for $r_1^3+20r_1-17=r_2^3+20r_2-17=r_3^3+20r_3-17=0$ Using Vieta's formulas $r_1+r_2+r_3=0---(1)$ $r_1r_2+r_2r_3+r_3r_1=20---(2)$...
5 replies | 130 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 $\displaystyle\lim_{(x,y)\to(x_0,0)}... 3 replies | 57 view(s) • August 17th, 2017, 11:57 Note that 10426 / 163652 = 6.4%. It's the distribution of the abortions over the age groups as a percentage. 3 replies | 102 view(s) • August 17th, 2017, 10:53 Let us introduce some notations. Let age 12-17 be denoted by index 1 and age 18-19 by index 2. Let$a_i$be the number of abortions and$r_i$be... 3 replies | 102 view(s) • August 17th, 2017, 06:05 Thanks Opalg ... it gives me great confidence when you or Evgeny confirm my effort ... Thank you ... Peter 3 replies | 60 view(s) • August 17th, 2017, 06:02 Yes! (Yes) 3 replies | 60 view(s) • August 17th, 2017, 05:45 After some reflection I have a proposed solution ... To show \text{lim}_{ n \rightarrow \infty } = 0 Now ... for any \epsilon \gt 0 the... 3 replies | 60 view(s) • August 17th, 2017, 05:09 In his book: Introduction to Real Analysis, Manfred Stoll does not prove parts (a) and (b) of Theorem 2.2.6 on the limits to certain special... 3 replies | 60 view(s) • August 17th, 2017, 05:03 my solution: let$A=8x^2-2xy^2 B= 6yC= 3x^2+3x^3y^2$from$A,B$we have$xy^2+3y-4x^2=0-----(1)$from$B,C\$ we have...
2 replies | 100 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, 17:25
Hey freedomdorm! I saw you posted this update on to another question so I gave you your own thread. Are you curious about the other question or do...
1 replies | 36 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)
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