Recent content by pbuk
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High School Deriving the "third" kinematic equation using graphs
Indeed. If the OP is satisfied that they can "derive" ## v = v_0 + at ## by plotting ## v \ vs \ t ## and observing the slope then how can they reject "deriving" ## v^2 = v_0^2 + 2 a x ## by plotting ## v^2 \ vs \ x ## and observing the slope?- pbuk
- Post #19
- Forum: Classical Physics
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Joint distribution of sequential variables
Simulation is a good way to verify an answer (I did just that here), but will not help you learn anything. No. For part (b) sketch the graph I suggested in #2. For part (c) think about another way of writing ## E(AB) ##.- pbuk
- Post #7
- Forum: Calculus and Beyond Homework Help
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The optimal way of dividing the bet three ways
Indeed. I cannot believe this is what the author intended - see below. Wow, that book should be a lot better than it appears to be from these two questions. I can only imagine that this material is so early in the book and at such a basic level that it has not been properly reviewed. This...- pbuk
- Post #19
- Forum: Precalculus Mathematics Homework Help
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Joint distribution of sequential variables
You could try drawing the area that satisfies X1 + X2 > 1 on a graph with x2, p(X2=x2) axes and see if that helps.- pbuk
- Post #5
- Forum: Calculus and Beyond Homework Help
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The optimal way of dividing the bet three ways
This and your previous question are very poorly worded. In general, betting odds are offered by bookmakers. When a bookmaker offers odds of 2:1 on England winning that means if you bet £1 and England wins they pay out £3 (£2 winnings plus your bet of £1). If England lose they keep your £1...- pbuk
- Post #16
- Forum: Precalculus Mathematics Homework Help
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HTML/CSS Problems with DNS records
Sorry, mail.com - but the same applies, this is a commercial email service which is designed to protect you from spam by silently rejecting emails from servers it thinks have suspicious set-ups. What you want is a service that accepts (almost) anything and gives you a report about anything that...- pbuk
- Post #21
- Forum: Programming and Computer Science
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HTML/CSS Problems with DNS records
Some thoughts: You are in way over your head. If you want to test your email configuration don't try sending to a gmail address which is likely to black hole it if anything is wrong, use a diagnostic service like https://mxtoolbox.com/deliverability. Test one thing at a time: If you want to...- pbuk
- Post #15
- Forum: Programming and Computer Science
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Hedging on a weather prediction
Note that the question is: so the answer is in the form "I bet $r with Ra and $s with Su". Neither "I bet approximately $48 with Ra and apprixmately $52 with Su" nor "I bet ##$\frac{14}{29}## with Ra and ##$\frac{15}{29}## with Su" are correct answers.- pbuk
- Post #8
- Forum: Precalculus Mathematics Homework Help
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Hedging on a weather prediction
If that is the whole statement of the question, I think you have also misunderstood what it means [EDIT: although that doesn't make any difference to the answer in this case because of the symmetry]. Ra offers a bet of 3:2 that it will rain. So if you place this bet and it rains then you win...- pbuk
- Post #7
- Forum: Precalculus Mathematics Homework Help
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Hedging on a weather prediction
That is not the correct approach. Instead, Let the person bet ##r## with Ra and ##s## with Su. You should be able to determine the ratio ##\frac r s## which will enable you to easily write down example values of R and S in dollars to give a perfect hedge (although the correct term in this case...- pbuk
- Post #6
- Forum: Precalculus Mathematics Homework Help
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HTML/CSS Problems with DNS records
DNSSEC has nothing to do with email, it is SPF, DKIM and DMARC you need for that, and all of those are set up (although your SPF record doesn't look right). What happens when you try to send an email?- pbuk
- Post #9
- Forum: Programming and Computer Science
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HTML/CSS Problems with DNS records
Dunno... They are better than they used to be, but spammers are always going to be a potential problem for cheap VPS providers. One line of defence is often to block all outgoing SMTP traffic - are you sure they aren't doing this? Do you need a VPS anyway? Why not use a cheap cPanel web host...- pbuk
- Post #6
- Forum: Programming and Computer Science
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HTML/CSS Problems with DNS records
Even if you manage to set everything up correctly you will still have the problem that you will be sending email from an IP address that is probably blacklisted. Do it. Or if you want to send email from your own domain try a service like Amazon SES (cheap but tricky), or Postmark (easy but...- pbuk
- Post #4
- Forum: Programming and Computer Science
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How to show R*S(U+TR*S)* is equivalent to (R+SU*T)SU*?
At last! So to return to your original question... There are three ways to do this: show that that they are both implemented by the same automaton - which is tautologically true here test with all possible strings in the language algebraic transformation - you will learn about this in...- pbuk
- Post #16
- Forum: Programming and Computer Science
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Undergrad A Very Gentle Approach to Thinking About Hyperspheres
Ah yes, of course - obvious once you point it out.- pbuk
- Post #12
- Forum: General Math