Tuesday, December 2, 2008

flu

" Will I or will I not get flu?" was not a question--I already had a flu, and the actual question is "how long?" will it keep me in its paws.

Google reformated knol environment, perhaps for the better. But it lost views! Now some of my knols have fewer views listed by google than I have recorded in the table. I wonder if they also lost some of the ratings? Perhaps not, because ratings are not anonymous to Google but attached to the readers. My quibbling is about trivia but I like trivia to be sharp, clean.

Sunday, November 30, 2008

emails and mathematical topics

Will I or will I not get flu?

Suddenly I got emails about mathematical topics from two of my friends. I have induced AP to program baroque numbers, which he was doing on and off, now on again. He uses the so-called genetic approach which is like simulated annealing + one additional kind of moves, where from two vertices one gets a new one (it simulates sexual reproduction). He has a better software, better computer, everything better than me but the results. Somehow it's not easy to communicate on long distance, in an irregular way, and it's hard for me to pass to him my experience. Actually, I am rusty these days myself, and will have to start almost from scratch (almost) if at all.

As the luck has it, around the same time I get an email from JBrz, who is excited about abc again. He and JBro have published a nice paper anbout abc years ago, about the integer and polynomial versions. So, they are serious, while I had only an amatourish interest in the topic, and only in the classical, integer version. But JBrz is all about the polynomial version these days. I am a social being, so I will try to join him.

I have a thousand of topics for knols (instead of working on one topic only), and now I have a thousand and two. And so it goes.

Recently I have finished ("published") my first knol about logarithmic and exponential functions, log and exp--a constructive and an axiomatic approaches. It has scored its first six views. The logarithmic knol is partially based on two knols about Integration of monotone functions and The ground level properties of integral.

Friday, November 28, 2008

A table of my rated knols

It looks like two people who know me (? or only one of them knows me?) have sprinkled my mathematical knols with one or two 5s (top score) recently. One of them likes topology. Another number theory. A third one metric spaces? Let me waste some time to make another table:

==========================================================
abbr. title - - - - - - |views#|rating|r-#|domain
========================|======|======|===|===============
∞-Metrics - - - - - - - | - 15 |- 5 - | 1 |mth met sp
Aleksandrov 2-pt space -| - 26 |- 5 - | 1 |mth topology
Birkhoff lattice of t sp| - 49 |-
5 - | 1 |mth topology
Closure operation - - - | - 13 |- 5 - | 1 |mth topology
Congruences - - - - - - | - 14 |- 5 - | 1 |mth num th
Connected spaces - - - -| -108 |- 5 - | 1 |mth topology
Euclid-Heron area of tr.| - 77 |- 3++ | 3 |mth geometry
Factorization in semigps| - 39 |- 5 - | 1 |mth algebra
Fermat sequence base b -| -- 7 |- 5 - | 1 |mth num th
Ideals in Z, & gcd - - -| -124 |- 2.5 | 2 |mth num th
Infnitude of primes - 2 | - 30 |- 5 - | 1 |mth num th
Interior operation - - -| - 39 |- 5 - | 2 |mth topology
Iso-graphs of m m into R| - 27 |- 5 - | 1 |mth met sp
Knolog - - - - - - - - -| -322 |- 5 - | 2 |general
Kolmogorov axiom - - - -| - 37 |- 5 - | 1 |mth topology
Kuratowski pairs & real.| - 60 |- 5 - | 1 |mth set th
Linear orders in top sps| - 72 |- 5 - | 1 |mth topology
Marriage v. law & govern| - 33 |- 1 - | 1 |Art of Agr
Math -- two definitions | - 97 |- 5 - | 1 |mth, general
Mathematical notation - | -239 |- 4.5 | 2 |mth, general
Mathematics -- index - -| -549 |- 5 - | 4 |mth, general
Met sp univ for 2pt sp -| -139 |- 3++ | 3 |mth met sp
Met sp univ for 3 & 4 pt| - 62 |- 5 - | 1 |mth met sp
Met univ of (R^n d_m)-p1| - 49 |- 5 - | 1 |mth met sp
Money--economy (part 1) | -128 |- 5 - | 2 |Art of Agr
Patent Law - - - - - - -| - 26 |- 1 - | 1 |Art of Agr
Piecewise cont functions| - 17 |- 5 - | 1 |mth topology
Prods of bounded primes | - 13 |- 5 - | 1 |mth num th
Seq of coprime integers | - 10 |- 5 - | 1 |mth num th
Topological product of 2| - 20 |- 5 - | 1 |mth topology
Topological subb & bases| - 67 |- 5 - | 1 |mth topology
Topological subspaces - | - 28 |- 5 - | 1 |mth topology
Topological cuts & miscs| - 21 |- 5 - | 1
|mth topology
Topological weight - - -| - 17 |- 5 - | 1 |
mth topology
Topology -- sh-sh intro | - 63 |- 4.6 | 3 |mth topology
Top. spaces & cont. maps| - 58 |- 4 - |
3 |mth topology
Triangles - - - - - - - | - 72 |- 5 - | 1 |mth geometry
x^2 = -1 mod p - - - - -| - 25 |- 5 - | 1 |mth num th

Tuesday, October 28, 2008

Taxes

Can't people understand a simple principle? It's NOT the goal of taxes to reduce the material inequality between people. For this, taxes are a very wrong tool. Taxes are for one and only one reason: to provide government with money, so that it can operate and carry certain projects.

The only institution which means to help poor people should be charity. Government should stay away from charity, it does more wrong than right, but if it has to be involved in helping the poor people then it should have a separate branch, called "Charity", while all other branches would be freed from such a consideration.

Actually, taxes should be lower, virtually non-existent, and charity should be done by people themselves, through a decentralized system.

I've described a way to tax, which would cause society the least harm, in Art of Agreeing, in Painless tax. (I stated this idea publicly a long time ago, and more than once, but never vigorously).

Sunday, October 26, 2008

knol activity

Should I just edit another knol or should I take a step back, stop here, and write about my activity, as I was thinking about doing so for awhile?

my knol is here, it's the main entry. It has three main directions at this time:
I have not touched the first two in weeks. Now too, I feel like mentioning the latter one only, mathematics. Clicking on Mathematics leads to the index of my mathematical knols. Ironically, my index knol got the best rating so far (5 three times out of three). At the present the main parts are:
(after "General" the rest is in the alphabetic order). They are just started. I'd like to present more of the mathematical domains i activities anyway. That's my problem, I'd like too many things. Circumstances amplify this my unfortunate tendency. I'd like to add combinatorics, statistical mechanics, simplicial and cubical theories (topology), elementary mathematical analysis... I am hopeless.

The general part consists of two knols:
  1. Mathematical notation
  2. Mathematics -- two definitions
I should extend both. Knol "Mathematical notation" helps its author, me, to write mathematical knols. I keep "Mth notation" in a window (or Firefox tab) next to the knol under editing, so that I can "borrow" mathematical symbols and similar from "Mth n.", and copy them into the knol window. The more symbols I store there, the easier it is to write m-knols.

I need to stop now, too bad.

Thursday, October 16, 2008

trivia update

knol --:early| Oct11 | Oct12 | oct16 | oct26 |
=============|=======|=======|=======|=======|
m ind -: 5*2 | ditto | ditto |- 5*3 -| ditto |
m nttn : --- |- 4*1 -| ditto | ditto | ditto |
t sp mp: 2*1 | 3.5*2 | ditto | ditto | ditto |
M un 2 : --- | ----- |- 1*1 -| ditto | ditto |
E_H ar : 5*1 | ditto |- 3*2 -| ditto | ditto |
AoA-mrg: 1*1 | ditto | ditto | ditto | ditto |
t s-s i: 3*1 |- 4*2 -| ditto | ditto | ditto |
MN-ec1 : --- |- 5*1 -| ditto | ditto |- 5*2 -|
t-i op : --- |- 5*1 -| ditto | ditto | ditto |
m tria : 5*1 | ditto | ditto | ditto | ditto |
AoA pat: 1*1 | ditto | ditto | ditto | ditto |
NTh gcd: --- | ----- | ----- |- 3*1 -| 2.5*2 |

I was in a hurry. I may double check it later.
(Oct 16)

Was ok. (Oct 26)

Monday, October 13, 2008

Pros and artsy types

I wish I were a pro, meaning the ability to work efficiently in adverse conditions. Unfortunately, I am of the artsy type--after a setback in my everyday life I stop the current project. When I get back into a better mood then I start life anew, meaning a new project. And so it goes. My present project is knol. It is like several projects. I have already started math-knol, Art of Agreeing knol, and dabanese knol. Each of the consists of subtopics, and, of course, mathematics is especially expansive. I am writing about general topology, a special flavor of Euclidean Geometry, and about metric spaces from the purely metric point of view (not topological). I also have, so far only one, short section about set theory--just to establish notions and terminology of the Cartesian product (diagonal product of functions). It's really a small fragment of the theory of categories, if I wrote it in full generality. In topology, at first I am aiming at the universal images. In metric spaces, I am trying fisrt of all to describe the isometric embeddings results. I would like to write on a bunch of topics while on the other hand the notion of giving up on writing, and on devoting myself to learning a new to me, reasonably deep mathematical item, is always present. I am just afraid to do it. I can quickly write a bit of this and of that. But learning good stuff requires my full concentration, piece of mind and better conditions, at least in my case. Write now I am writing this post because I am not able to write some more of my math-knol. Hm, it was supposed to relax me, not to depress :-) Ok, here's something which to me is mildly amusing. The only of my numerous knols which got rating 5 from 2 readers is the index to my math knols. Isn't it ironic to be appreciated for index? (well, it's just 2 guys). I guess, this is due to the fact that Google didn't provide authors with any special tool for hierarchy of their knols, while my index is a substitute for a true software solution.

Well, that was not entertaining, not funny, cannot help it. The sleepiness I feel is marginally relaxing. So, I'll lay down for a couple of minutes, to recharge myself.