prime number power residues and/or indices

John E. Franklin · 2012-01-23 04:39:22

They are a big part of my life, even after college.

bobbym · 2012-01-23 04:45:01

What are you using them for?

John E. Franklin · 2012-01-23 04:48:36

I did a project in college to utilize karnaugh maps, but also with adding in the XOR gate, then after college I learned assembly language and that was fast, and also with C#, I programmed a data tree that finds the smallest tree-shaped circuits with gates AND, OR and XOR, and nots on the inputs if needed but not in the circuit, to get to whatever result you want. For four variables, there are 2^(2^4) or 65536 karnaugh map filling in patterns. The five variable solutions I will have to do in a couple decades when I have more memory and faster CPUs, maybe CPUs that can be at multiple states at the same time by then.

bobbym · 2012-01-23 04:52:08

That is 2^32 patterns. A big job but maybe possible in a decade or so.

John E. Franklin · 2012-01-23 04:54:39

I predict the RAM will come first, then the CPU speed will come next, as I need 100 years to program 5 variables right now.

bobbym · 2012-01-23 04:56:29

Did you ever design any of your own digital circuitry?

John E. Franklin · 2012-01-23 04:59:47

Yes, but I didn't need karnuagh maps because the logic was in my head since I played clarinet since age 9, I already knew all the shortest ways to descibe each finger combination without creeping in on another note by mistake, making them all mutually exclusive. I built an electronic clarinet out of a Yamaha keyboard which produced the sounds, and an old plastic clarinet. It worked for a few years.

bobbym · 2012-01-23 05:01:51

Very good! I know you are interested in music too.

John E. Franklin · 2012-01-23 05:08:56

Yeah, music confuses me though, being that I have been coerced to play with my brothers band and I am kind of sick of some of the dixieland songs, but I play with him because I feel he really wants me to continue to play the clarinet. See I am also learning the trombone by myself with the radio, I play to any kind of music I can find. But whether I can surpass my clarinet playing ability is yet to be seen. My favorite music is Vivaldi, Beethoven, Popular Country Songs in USA, and then just a bunch of miscellanee of songs that are great in any type of sound.

bobbym · 2012-01-23 05:10:08

Did you learn very early? Built in talent?

John E. Franklin · 2012-01-23 05:15:38

Age nine (to repeat), was my first instrument, Bb (B flat) clarinet. Never stopped playing it more than 4 months. They let me my clarinet for my birthday, even though I was in an institution of mental health for 7 months once. And I wasn't allowed to do handstands in there, so I had to relearn afterwards. But my talent is in reading written music, for the clarinet, that's how I was taught and I could sight read written music quite well, however I did not make it into the NH All-State Band, or All-New Englands because I wasn't trained or hadn't listened to classical music early on. Then I discovered Baroque and Renaissance music in the past 15 years, and am much happier because of that.

bobbym · 2012-01-23 05:17:18

Handstands, were you into yoga?

John E. Franklin · 2012-01-23 05:20:44

Nope, I learned walking on my hands in a vacant lounge used for RA and freshman meetings in our dorm at WPI. It was the only lounge without a TV, so I was the only one to use it much, and so I learned handstands in about 3 days when I was sick of studying calculus and physics, I was going to be a physic major at first.

bobbym · 2012-01-23 05:28:30

Good for getting blood to your head, you know to increase circulation.

John E. Franklin · 2012-01-23 06:20:41

Another guy told me it was good for my health, a yoga person who saw me walking in a parking lot to the dollar store 2 months ago.

anonimnystefy · 2012-01-23 06:27:22

hi JEF

how have you been today?

bobbym · 2012-01-23 06:30:15

Hi John;

Yes, and so are shoulder stands and headstands.

John E. Franklin · 2012-01-23 07:01:29

hi anonim: i have been great today. i started the day with a raw carrot washed and unpeeled.
then i proceeded to some cereal with a little milk, not too much milk though, i think it was raisin bran, but i cant remember which one i chose exactly. we also took down the xmas tree today, we waited a long time huh?

hi bobby: what are shoulder stands? never heard of them? I know headstands use two hands plus your head.

bobbym · 2012-01-23 07:05:58

You actually are inverted on your shoulders with your head tucked underneath. It is for people who can not achieve a headstand but gives the same benefits.

John E. Franklin · 2012-01-23 07:31:13

Sounds dangerous for the neck if you fall wrong. If I fall wrong, sometimes I put an arm bent down and land on my forearm which protects my head from hitting.

bobbym · 2012-01-23 07:33:13

HI;

Take a look at this:

http://www.yogajournal.com/poses/480

She is being kind of wimpy because no padding is required.

John E. Franklin · 2012-01-23 07:35:57

Oh, yeah, I did that once when I was only 155 pounds. Now I'm 235.

bobbym · 2012-01-23 07:38:26

Actually now it might be easier at least from tipping over. Your center of gravity is very low to the ground, that prevents you from falling in the wrong direction.

John E. Franklin · 2012-01-23 07:43:48

Can you do it or did you ever try the shoulder stand ever before?

bobbym · 2012-01-23 07:46:22

I used to be able to do shoulder stands and headstands. I was only mediocre at yoga though. I was very strong but very stiff.

Math Is Fun Forum

#76 2012-01-23 04:39:22

Re: prime number power residues and/or indices

#77 2012-01-23 04:45:01

Re: prime number power residues and/or indices

#78 2012-01-23 04:48:36

Re: prime number power residues and/or indices

#79 2012-01-23 04:52:08

Re: prime number power residues and/or indices

#80 2012-01-23 04:54:39

Re: prime number power residues and/or indices

#81 2012-01-23 04:56:29

Re: prime number power residues and/or indices

#82 2012-01-23 04:59:47

Re: prime number power residues and/or indices

#83 2012-01-23 05:01:51

Re: prime number power residues and/or indices

#84 2012-01-23 05:08:56

Re: prime number power residues and/or indices

#85 2012-01-23 05:10:08

Re: prime number power residues and/or indices

#86 2012-01-23 05:15:38

Re: prime number power residues and/or indices

#87 2012-01-23 05:17:18

Re: prime number power residues and/or indices

#88 2012-01-23 05:20:44

Re: prime number power residues and/or indices

#89 2012-01-23 05:28:30

Re: prime number power residues and/or indices

#90 2012-01-23 06:20:41

Re: prime number power residues and/or indices

#91 2012-01-23 06:27:22

Re: prime number power residues and/or indices

#92 2012-01-23 06:30:15

Re: prime number power residues and/or indices

#93 2012-01-23 07:01:29

Re: prime number power residues and/or indices

#94 2012-01-23 07:05:58

Re: prime number power residues and/or indices

#95 2012-01-23 07:31:13

Re: prime number power residues and/or indices

#96 2012-01-23 07:33:13

Re: prime number power residues and/or indices

#97 2012-01-23 07:35:57

Re: prime number power residues and/or indices

#98 2012-01-23 07:38:26

Re: prime number power residues and/or indices

#99 2012-01-23 07:43:48

Re: prime number power residues and/or indices

#100 2012-01-23 07:46:22

Re: prime number power residues and/or indices

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