psi20

My classes last year were pretty good classes. The classes had no more than 30 students or so. The parking lots weren't too bad, except on days when everyone got out of school at the same time. Then it was pretty bad. But now, my classes have 40 students or so. The parking lots are scary because they are so full of cars and most people have tight schedules, so they're on a hurry. My junior high school, which was a California Distinguished School 2 years ago when I was back there, is now crowded as heck. The parking is full and the 2-way streets are crowded. People are stalling traffic , turning this illegal way, parking in that illegal spot, holding up traffic, etc. But they can't help it, the school is overcrowded as it is. There was a letter to everyone a couple years back when I was in junior high that several schools were closing down. This is the result. My new math teacher this year says that some classes were cut by the administrators "up there" to save money. It's pretty bad. I see students running across the crosswalk rather than walking across it. If I were in their shoes, I would probably do the same. It's because they sense the same thing I do. The traffic is really bad and congested. I see the drivers of the cars, like 4 feet away from me when our cars are less than 1 inch apart, and their faces show so much anger and stress. Someone trying to get back into their car can't do it if the car door is facing the street because cars are right there. I think there's going to be some pretty bad statistics for car accidents, car injuries, suicides, stress level, blood pressure, heart disease, etc. if this keeps up. It's pretty bad. Is it the same for you? What's the solution?

No, there's a formula for finding it. Or at least the formula worked on the numbers I used to find it.

Sorry, I did word this problem incorrectly. The original problem didn't assume that the interval would be 1 cent. The interval could be 2 cents, 3 cents, or any cents. But you had to find the lowest price so that there's an interval after that price. Anyways, I don't see how the formula works on 5 and 7. So z = 5x + 7y z + 1 = 5(x-4) + 7(y+3) = 5(x-11) + 7(y+8) That means the lowest price has to have at least 4 5's or 11 5's? Now I'm confused.

What I meant by the lowest price, Primarygun is in this example. Say you sell 3 cent stamps and 5 cent stamps. It's possible for you to get 3 cents, from 1 -cent stamp. It's possible for you to get 5 cents, from 1 5-cent stamp. It's possible for you to get 8 cents, from 1 5-cent and 1 3-cent. It's possible for you to get 9 cents, from 3 3-cent stamps. It's possible to get 10 cents, from 2 5-cent stamps. It's possible for you to get 11 cents, from 2 3-cent stamps and 1 5-cent stamps. So it goes 3,5,8,9,10,11,12,13... Sometimes it doesn't go by one cent intervals. Suppose you have 4-cent stamps and 10-cent stamps. It's impossible to have an it rising by one. So Aeschylus, if you had 2 random numbers, you wouldn't use z +1 = n(x + p) + m(y - q) = n(x - r) + m(y + s) , but what would you use?

There's this one person who lost all of his memories. He was found by a hitchhiker who thought he was dead. But he was still alive, but lost all his memories. For years he searched for his family and friends. He knew some things and his memory and logic struck on some things, but he never fully remembered anything. When he watched a movie about Chicago, he felt he'd been there before. He could type well and faster than anybody he knew, so he must've some background there. He went by a name people gave him at the shelter. He eventually found a job and works there. There were no missing persons case about him. He wanted to know who he was. People asked him, "What if who you are is so bad that you wouldn't want to go back once you know?" He replied, "All I know is that I have a family somewhere. I want to see them, and I hope they want to see me too." He eventually found his family, except he was charged for forgery and embezzlement as well. He was a fugitive, but he lost all his memory of it. What do you think? Should he go to jail or not?

Can you generate a formula to find the lowest price, given the price of 2 stamps a and b?

My math teacher gave us this problem. You're selling stamps. One costs 3 cents and the other costs 5 cents. People can buy as many stamps as they wish. If x is how many 3 cent stamps someone buys, and y is how many 5 cent stamp someone buys, 3x + 5y represents the price of both of them. What is the lowest price of combined stamps, 3x + 5y, so that every price after that continues at an interval of 1 cent. The next problem is what if you have m cent stamps and n cent stamps. What is the lowest combined price so that every price after that continues at an interval of 1 cent? My English may be vague and incorrect, so tell me if you need clarification.

I remember watching tv one time about these twins who felt the same pain at the same time. I don't mean that one twin got into a fight and got his lights punched out while the other was at home screaming in pain from the same bruises. These pains were genetic. If the result of your genes is that you have a bad feeling when you have a lot of adrenaline, then that affects your behavior. But if you were taught to kill people, that would also affect your behavior.

Well, I agree with LucidDreamer in that there's probably got to be some pressure. When I say psychic abilities, I mostly mean "enhanced sensory perception" like acute hearing, sight, touch, logic, etc. Like if you have children, and you're in a mall, and all of a sudden they're gone, you find that you're listening to more sounds because you'd want to find them. Or perhaps you're deaf and depend on your sight of all your 5 senses. You would, but I am guessing here, probably pick up more detail in a cursory glance than a person who depends more on hearing than sight. Psychic abilities are, I think, a combination of many senses and thinking skills. You might've seen something, later on smelled something familiar to a part of the crime scene, and remember something, then use logic to figure something out. As for telepathy, you might not tell your friend that you got a haircut, but they can tell. You don't need to tell someone something for them to figure it out. It might be wishful thinking, but I believe that there are energies we don't even know of or have seen. This energy could be used by the mind, as in psychokinesis. People use different parts of their brains differently. We aren't all going to have superb memories or a great hand-eye coordination. I've heard of someone who can calculate crazy things like 23462 * 3532^12 in his head because the part of his brain that usually does long-term memory did short-term memory and something else. He said he could see the digits like multiplying it out on paper in his head. I've heard of a kid who's autistic. Supposedly his IQ is in the 60's, although I don't believe that the IQ system is useful and here's why. His memory is photographic and so keen, that he draws stuff like Cezanne. Genetics plays a role in it, well, because the proteins in your brain are coded for. But your environment and what happens to you also influence your psychic abilities.

Yeah

So to prove \sum_{k=0}^{n} s_{n,k} = n! you assume that \sum_{k=0}^{n} s_{n,k} = n! Then figure that \sum_{k=0}^{n+1} s_{n+1,k} = (n + 1)! , and \sum_{k=0}^{n} ns_{n,k} = n!n . Then, according to the scenario, you figured (n+1)! = n!n + n! => (n+1)! = n!(n+1) => (n+1)! = (n+1)! I think it's right.

I don't get how you derived the second summation from the first.

I was having trouble with s(5,3) and I think I figured out where I went wrong. There are 5 people A,B,C,D, and E and 3 tables. There are 4 different table styles. 1) A _ _ _ _ 2) A _ _ _ _ 3) A _ _ _ _ 4) A _ _ _ _ The _'s just represent spots to be filled in. We can assume that A sits at a table. For the first table setting, I thought it would be (4*3) number of ways to choose people, then divide by two because there would be repeats like B C and C B. But I was wrong because you can actually state a second assumption. So you seat B down because you know B is going to sit at one of the tables. 1) A B _ _ _ So it's actually (3*2)/2 for the number of ways to arrange using that table setting. A B C D E A B D C E A B E D C For the second table setting, you can have 4 different choices in the 1 seat table. Then in the 3 seat table, you know everyone else (3 people) are going to sit there, so you have 2 ways to arrange people. So it's 4*2 or 8 for #2. For number 3, you can have 4 different ways for sitting with A. Then you have 3 different choices sitting alone. Everyone else sits in the other table. So that's 12. For number 4, you have 4 choices to sit to the left of A, and 3 choices to sit to the right of A. Everyone else's seat would then not matter. So that's 12. 3 + 8 + 12 + 12 = 35, which is s(5,3) I think your problem with the sum might have to do with limits, but I'm not sure.

When you add across the absolute value of the values in the rows of the stirling table, you get the factorials of the number of the row.

This reminds me of one time where I was trying to join an Age of Empires game over the net. But then in the chat box, I was saying something. I didn't type anything though. Someone was able to "put words into my mouth." How did they do that?

Whoa, I had no idea math was so expansive! Where do you begin on that site?

I was thinking over this problem for more than an hour and I found my error. You don't count in the factor of 2 when thinking about 2 people because you already counted that in when choosing (n-1)(n-2). You don't count in the factor of 6 when calculating for 3 people with dave because you chose (n-1)(n-2)(n-3) and thus already considered the seating positions in there. I checked and by writing out the combination for 4 people seated at 2 tables. My calculations showed there were 17 ways, but the formula said there were 11 ways. And there were only 11 ways.

I think you forgot about dave's table. Since there's three people, at that table, you have 2 different ways to arrange people or s[3,1]. What's the s in that notation mean, by the way? But anyways, if you want 2 people sitting with dave, you can choose (n-1)(n-2) ways. Like you said, the others sit at the table in (n-4)! ways. At dave's table, we have 2 ways of arranging the 3 people. So I think it's 2(n-1)(n-2)(n-4)! ways. For choosing 3 people to sit with dave, it would be (n-1)(n-2)(n-3) ways to choose. The others sit can sit in s[n-4,1] = (n-5)! I think. Then at dave's table, we can do s[4,1] = 6. So for 3 people with dave, it's 6(n-1)!/(n-4) For 2 people, it's 2(n-1)!/(n-3) For 1 person, it's 1(n-1)!/(n-2) With just dave, it's 1(n-1)!/(n-1)

So what would happen if a big bang was created in my fingernail right now? Would everyone on the planet and in this galaxy be destroyed as the new universe expands? Or does it keep on expanding, but we can still live because I hold the entire new universe on my fingernail? Secondly, where would the energy come from? Dark energy?

C. Sure I believe it. F. But how did life originate there? Maybe life is like the Big Bang. It just went "poof." A. If life can go "poof" anywhere, maybe it was poofing on Earth independently, too. E. But perhaps Earth wasn't the first planet to poof life. Perhaps life poofed very early in the Universe. They are refered to as you "aliens" in choice E. These aliens wanted to create artificial intelligience. And, poof, here we are. Oh I didn't read the part on C about being on another planet. I think life was in outer space first because it's bigger out there than in here.

I heard of this thing where you can use a skip search through the bible and find some weird stuff. Skip search is where you skip a constant number of characters. The weird kind of stuff is like skip searching for Hussein and finding "gulf war" and "enemy" next to it. I don't remember his name, but he claims it exists. Then mathematicians, who were skeptics, did made their own skip search programs and found it worked. The thing that puzzles me, however, is how it would work with other languages. Like if you skip searched in other languages, how would it produce the same result. Also, there's another argument against the Bible Code arguing that you could skip search any random book or sequence of letters and find patterns like that. It's like looking at a statue for a few minutes and seeing the statue blink at you. Anyways, if someone could make a skip search code and check it out, that would be cool. I would do it, but I don't know how. I'm learning how to do it right now.

When you have a circle with radius r and and an angle A in standard position, you can find the point the terminal side intersects with the circle. How would you do that for an ellipse?

Why will only a select few sounds wake you up sometimes? Like a train goes by and you don't wake up. But then the phone rings and you wake up. How does that happen?

Well, I know that I'm not the only one here who has experienced this, for I remember another thread or some posts regarding this. But for the past few days, I've been able to see the future in my dreams. I think it's been happening for three days at least by now. At first, I thought it could be explained by coincidence. But this last dream was pretty convincing. First of all, I had no idea that my aunt was visiting my cousin's house. But last night, I dreamt that I saw her. I said hi softly. Then my cousin says, "Why didn't you say hi to her?" Then I say, "I did. I said hi." Then this scene disappears and another dream happens. Then today, I went over to my cousin's house to give my sister the keys. At first, I didn't see my aunt. But then I see her and I say hi. I walk over to my sister and give her the keys. Then my other aunt who was there says, "Why didn't you say hi to your auntie?" Remembering the dream, I said,"I did. I said hi." Oh, I remember a dream I had three nights ago. It wasn't about seeing the future. The dream had black birds flying everywhere. They would peck at you and eat you alive if you tried to resist. Then a plague of mosquitoes came and sucked your blood if you moved an inch. Then all the birds and mosquitoes died. I had no idea why they died. A while later in my dreams, I was at a local store. Then I sensed the birds were coming so the store locked all doors and windows. The birds almost break down the door before I blow them up with my mind. (I believe in psychokinesis.) Anyways, after this happens, a couple of girls who were in the store start singing. Then I woke up to hear that same song being sung. About an hour later, I hear the news about West Nile virus being found in birds and mosquitoes or something. What I figure is that when I heard about the virus and birds and mosquitoes, I translated it into a plague of birds and mosquitoes. Then an hour later, when the news repeated itself, I sensed it so I told the store to lock down.