Tuesday, October 14, 2008

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Galois

Galois was a distinguished mathematician, although his life ended early by a duel.

To him we owe the modern language of group theory. The

named after him and in the above video illustrates Galois theory explores why there is no algebraic formula for calculating zeros of polynomials of degree> 4.

Sunday, September 14, 2008

Ikusa Otome Valkyrie Vol. 2

poker and game theory

Poker, unlike chess or checkers a game with incomplete information. Nevertheless, it is beyond not the mathematical analysis, because, with the aid of probability theory and game theory approaches Poker is actually modeled mathematically. The game is incredibly complex and therefore there is a mathematical solution to this game only for limited special cases.
The most profound mathematical results to Texas Hold 'Em are for the heads-up play (two players) before. The complexity of Texas Hold 'Em is much higher if more players are involved. to give

To gain insight into the mathematics behind the poker game, I want to give a very simple example from the literature (from an article by James Swanson). In this example, the strategy of the players are completely determined. At the same time gaining But if we have any idea how difficult it must be the model with 52 cards, and more than 2 players.

"One Card Poker - The Rules

We play with 2 players, and only 3 cards that we ace, 2 and 3 are significant.
The ace is the lowest card and 3, the highest card.
One of the players is the dealer and the other players in the opener.
Both pay an ante of $ 1 and $ 2 so that the pot is large.
Every now a card is allocated. One is left.
Then the opener to decide if he checks or $ 1 is (We therefore have a fixed limit game).

In the case of Bet from the opener, the dealer may now choose only between fold and call.
In a fold of the dealer gets the opener of the pot.
When a call from the opener, there is a "showdown", ie the higher of the two card hand wins the pot.

If the opener can check in, check the Dealer or give a bet of $ 1.
After a bet from the dealer of the opener, in turn, fold or call options, and if he calls then there's the showdown.

Reasonable assumptions

Assumption 1: No one folds the 3, for the win 3 more the pot.
Assumption 2: No one elects to call a bet when he has the ace, as the ace loses all showdown.
Assumption 3: No one checks out the 3 "in position". If the opener checks to you, will give a 3 Dumit always a bet, because otherwise you get anyway, only the smallest possible pot.
Assumption 4: No one makes a bet with the 2, since the Ace will fold and 3 will call. It therefore gives away so that the 3 only money, while against the ace anyway gets only the small pot, because you can not get a call. In real Hold'Em is also present in such situations where one with an isolated Bet all probability only with better hands and this should be so dear.

decisions and probabilities

The dealer has to ask:
"How many times (probability q1) should I place a bet, if the opener checks to me and I have an ace ?
"How often (Wkt. q2) should I use the 2 Callen, when the opener is a bet?"

The opener has to ask: "How often (Wkt. p1) should I embed with an ace"

"How often (Wkt. p2) should I call with a 2 if the dealer gives a bet?"
"How often (Wkt. p3) should I embed a 3?"

The expected value

Using the above probabilities we can determine what the expected value of the dealer and which has the opener. For this we need to think about how the game can run.

Case 1 holds
Opener Ass
Dealer holds two

a) embeds opener and dealer calls. Loses opener gets $ 1, so - $ 1 The probability is p1 * q2.
b) opener embeds and dealer folds. Then win opener $ 2.The probability p1 * (1-q2) is.


Case 2:
opener holds Ass
Dealer 3 holds

The opener loses $ 1 if he bets. This occurs with wkt. p1.

Case 3: Open 2 holds
dealer holds Ass

checked out the opener. With wkt. 1-q1 also checked out the dealer. Then the opener gets second $
With wkt. q1 * p2 embeds the dealer and is called by opener. Then win opener $ 3

Case 4 holds
Open 2
dealer keeps three

opener loses $ 1 if he bet the dealer calls. This occurs with wkt. p2.

Case 5 holds
Open 3
dealer holds Ass

opener wins $ 3 if he checks, and embeds the dealer. This happened with the wkt. (1-p3), q1.
In other cases, he wins $ 2

Case 6:
opener holds 3
Dealer holds two
If opener embeds and dealer calling, then won the opener $ 3 This happened with wkt. p3 * q2. Otherwise Opener $ wins 2nd

Each of the 6 cases is equally likely.

The opener loses out with wkt. Q1 = 1 / 6 * (p1 * p1 + p2 + q2) a dollar.
The opener wins $ 2 with wkt. Q2 = 1 / 6 * (p1 * (1-q2) q1 +1 +1 (1-p3) * q1 * q2 p3 +1).
The opener wins $ 3-wkt. Q3 = 1 / 6 * (q1 * p2 + (1-p3) * q1 + p3 * q2).

His post-ante EV (expected value after the Ante) is so-Q1 Q2 Q3 +2 * +3 *.

With
wkt. 1-Q1-Q2-Q3 losing the opener but his ante. With this in mind we have an EV of Q1-Q2 +2 * +3 * Q3-1.

By inserting the expressions for Q1, Q2 and Q3, we get an EV of
1 / 6 * (p1 * (1-3 * q2) + p2 * (3 * q1-1) + p3 * ( q2-q1) q1).
Substituting q1 = q2 = 1 / 3, we obtain independent of p1, p2 and p3 an EV of -1 / 18 for the opener. This strategy is called "indifferent" and it is also the best that can have the dealer. In 1 / 3 of the cases he was bluffing with the ace and in 1 / 3 of the cases he should be with the 2 to call.

against other strategies can achieve the opener by modification of p1, p2 and p3 advantage.

Also for the opener, there is an indifferent strategy, namely its EV can also write as follows: 1 / 6 * (q1 * (3 * p2-p3-1) + q2 * (p1 * p3-3 ) + p1-p2).
We now choose arbitrarily p3, then the strategy of the indifferent form that p1 = 1 / 3 * p3 and p2 = p1 +1 / 3. Again, we get an EV of -1/18.

How to play the best?

Based on this optimum, we must ask ourselves how the strategy against a specific Opponents should look like, does not play to optimum.

We are looking to maximize the opener and the EV. We know q1 and q2.
If q1> 1 / 3, then we maximize the EV, as we choose p2 = 1.
That is, if the dealer is bluffing too often with his ace, then we should call the 2 always.
If q1 <1/3, p2="0">
That is, if the dealer is bluffing too little with the ace, we should call 2 is not a bet, but always fold.
If q1 = 1 / 3, so there is however no matter how we react with the 2 on a bet.

This is somewhat counterintuitive result:
If the opponent plays optimally, it does not matter how you play. But if he does not play optimally, you must consider your strategy at his stats, just adjust q1 and q2. One game after the "optimal" strategy, then the EV would not maximize.

Conclusion:

A determined for the purposes of both players best game no perfect strategy for a player. Rather, it depends on the Stastistik of others, the strategy which we can maximize his EV.

This fact shows the importance in the real Hold'Em so-called "Reads" and statistics about the game the opponents are. One can certainly a relatively "optimal" standard game to learn and succeed, but a profit maximization can only be achieved by adapting to the opponents play.









Sunday, July 20, 2008

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I have not even imagined that men are so ....

like me, times have also changed, many traditional hardly apply, because it contemptible as old-fashioned means, and the different shades the female temperament to remain always the same.

There are still, or just today;? Not a few women who listen, yes, my friends, and it amazed, afraid of love. It can be young girls, which love is still unknown. Just the unknown, so it may attract so much inspires, but often a fear, a fear to which you yourself, especially your younger ones, have contributed a lot through which unfortunately has become quite primitive way you imagine the "love" and as you did your ideas in trying to implement.

but it is also experienced women who know themselves to either geanu, or did know but some men too well to not now feel an aversion to anything that is called love or love calls.

you meet such, you shall do well if your driven on all demonstrations masculinity waived. Rather surprised by the fact that your hand out do not male, but you performed as a fair, clear, harmless fellow, it gleams chivalry and good manners. So you win you designate a quiet sympathy and reputation impeccable attention initially. The next stage is

confidence. If it is reached, the report ds young girl friend:

"I have absolutely no idea that men so ...."

while the women experienced their experiences begin to revise a little and admitted:

"... I did not know that men can be so ..."

should both your credit you have to praise and honor. But the best would be: you win at dihedral type behavior of your own taste! What you had to force yourself at first maybe a little bit, you will namely gradually becomes second nature. Then you should be proud of and admire you with masses themselves, because: conquer oneself is the most beautiful victory.

Monday, July 14, 2008

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Altwortdomains hope for?

It is rumored that the selectable level domains are coming soon. What value can they have still not be said, but at least there is a possibility Altwörter that long ago were not free as domains, again to use for domains. Is nevertheless advisable to deal with Neuwortdomaining .

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course, is a modest woman completely unbelastend.

An outwardly big plus we have the Anspruchslosen.Sie men praised and praised. But, my dear friends, once you tip your hair sharp ears and sit down when you no longer have the full prescription on your glasses when a colleague says ehrenswerter:

"My wife is sooo humble beings!"

Sounds as not, very softly with a bit of regret, and not in the corner of my eye twitches a barely perceptible sarcasm?

course, is a modest woman completely unbelastend. They in no way claims to us. She is happy about every little thing, but unfortunately we forget often then even this. Yes, we forgot all about the woman as such. She casts no reflection on our way, it remains in the shadows and becomes a shadow. She says nothing, Remember when we feel as pain, but at the mouth of some unpretentious stand then fine lines that betray their Herznskummer, but no one respects the. But we should pay attention and give an unambitious far more attention than we do.

Wednesday, July 9, 2008

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Neolog-Domaining

domains and search queries
The search engines are interested in relevance of Web content to the searched phrase. Looking for someone for the phrase "dear old trousers", the search engine would then be considered as something that brings the seeker to a current and relevant hand, are about "expensive old trousers" The search engines with one another in a competitive relationship. This contest is about that subject that makes search engines and make up forever. You have to find the most relevant page on a request, now and in the future. Does anyone have a domain in which lies the phrase "dear-old-pants", he can either relevant or very irrelevant website lead it. The website would bring out an irrelevant but the webmaster is not much. This makes it likely that specific domains also refer to specific content.
want is exactly what search engines today and tomorrow.

Neolog-What is Domaining?
Neolog: neologism neologism, new words have found their way into everyday language.
Domaining: Doing business with domain names, so trading parking or investing.

Neolog-Why Domaining is an eternal source of gold
neologisms are Neuworte the present and future that have found their place in
custom. With few exceptions,
there are also the only potentially good domain names that are still left
and each time left to be had, because there are always new neologisms.
Neolog-Domaining is a job for all time. As long as the net, is
can Neolog-Domaining only be attractive. should

What abilities a Neolog-domainers have?
A journalist of language development should be one of good research is the be-all and neologisms. Furthermore, one should of course be familiar with the extent and trends of the WWW Domaining that trade, parking and SEO with Domains is slight of hand. But especially the former (the researcher) I think the talent that will make the internet stars of the future.

Thursday, July 3, 2008

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Thus, they help out with their gifts to him.

She was a sentimental nature. I tried to read in its interior, so I would have to discover again and again how quickly the pain was in her awakening. A word, a cloud in the sky, and she wept for the whole world.
much softer than even a raw egg `I have to treat it, otherwise it was end of these two. Will be considered as such Holde own, it is said, pay attention to his words, `all fine.

(These are words from a poem by Johann Nestroy.)

an exact opposite of our faint-hearted sentimentalists are women that possess a certain hardness and a tendency to self-employment. In most cases, they probably have to learn early on how much it matters in life the fact prevail.

From this experience they have made a habit of taking it, of course;! Also maintained the man opposite. It is not easy to get along with them. Surely they are not limited to, to lead the regiment in the house, no, they also believe it is their right, the steps of the man except the to determine home. Although this pleases some of us not at all, but can still be quite useful.

For as by a law of nature, it fits most, that such a woman gets a man who can not distinguished itself by stressing independence and courageous determination and strong will ist.So help out to him with their gifts.

Wednesday, July 2, 2008

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register entry description

Dear Neologisten
here I have is a description
for entering into neologism Webkatalog
Description

Monday, June 30, 2008

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Webkatalog Webkatalog use

Enlisting in the neologism Webkatalog easy and free. Entries are checked editorially, it should be a quality directory. Webmasters of scientific, poetic, philosophical or other sites may advertise here.

1) Visit the Neologismuskatalog
2) Click above all "enter Neuwort" on
3) Give short Neuwortbeschreibung and your website to
4) Choose the right category A - Z


Finish.

site in Webkatalog enter

Only for websites that describe
new words (eg: Neurophilosophy, nanotechnology, fashion guru, Googling ,....)

luck

Monday, June 23, 2008

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neologism before ..

Who word and page has yet
should register before the neologism catalog only offers premium entries.
But no hurry, now he is still very fresh.

Thursday, June 19, 2008

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article about the importance of memory neologism

Interesting article on the subject

neologism neologisms and advertising

The change in language

Playing with words

Saturday, June 14, 2008

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Fermat's Last Theorem

Beautiful documentary about a passionate mathematician! Andrew Wiles solved Fermat's conjecture with one of the most famous problems in mathematics and is therefore clearly in the Hall of Fame in mathematics. call

for sequels use the video on the YouTube platform.

Tuesday, June 10, 2008

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Our brains produce language at a rapid speed (the production of a word needs just 400 milliseconds) - a very complex process. First of all must be planned in the brain roughly what you want to express a thought or an idea for us. For this Meanings are then used (called mental lexicon) in importance in the brain memory matching words searched. Words in the mental lexicon but are archived on two principles, namely first the similarity of their shape and 2 the meaning similarity.
Quoted from word waiting

Friday, June 6, 2008

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Pay Per Click (PPC)

Pay Per Click = numbers on click
An online Werbesytem in which the advertisers only for actual clicks, rather than paid for the Advertisement of advertising. PCC is often provided by search engines and usually starts at 0:01 to 0:05 cents per click. The ranking of such advertising generally has character and auction on words with strong Competitors may well be that one must be 0.5 € or more per click pay.

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Neuro-Esperanto

A planned language understood by everyone on the neural level, exists only as idea, as far as I know.

Wednesday, June 4, 2008

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Infozenic

Infozenic is a philosophical by-product of neuromarketing. A vaccine against manipulative advertising, a meditative philosophy, and many open source idea. With Zen has InfoZenic to do just a bit, with computer science of the brain has more. It is about the field from the three major motive systems of the limbic system and the effects of inward and outward sensory and episodic sensory data.

Language: Data types

A Language information properties Sensory: shape, color, dryness, Episode: Narrative styles ..

Data addin '
Meditative hybrid of self-therapy and second-hand Neuromarketing Submodalitätenarbeit (NLP).
http://www.neurophilosophie.eu

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Post-Amour-friendship.

Post-Amour-friendship is a wonderful form of the relationship between ex-girlfriend and ex-boyfriend. Infozenische to infozenhafte idea works very well. Love and historical data are processed limbic strong chummy. From Romeo and Juliet to Harry and Sally.

Tuesday, June 3, 2008

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Domain Parking

order with a domain that is not yet or no longer leads to a site profitable use, they can
be parked. Usually performs this domain then to a parking page with targeted insertions. The domain owner gets a few cents per click on these ads.
For domains with high PageRank can be quite a few hundred euros a month,
but this is also the topic of the domain-dependent. Product provider may offer more expensive products for a click. Their advertising will only appear when the parked domain is with these expensive items here.

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Domainer

A person engaged in the business domain.

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Blogger

The author of a weblog, so a public web diary or journal.

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Webinar

A webinar is a web- Seminar held. A webinar is designed interactively, thus enabling two-way communication between speakers and listeners can Publikum.Die antworten.Webinare usually via a telephone conference call will be primarily used for larger events such as online analyst calls, e-learning and online press conferences.

Monday, June 2, 2008

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well described Neuworte.

Is your blog, catalog, website, or your community about a young science, a fashion trend, word, innovative Posie or another issue arising from the new words and concepts? Then you can enter an exact description of the word and post your website URL.

Thursday, May 29, 2008

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The woman is a different sort of creature as the man

"... shouting for joy - betruehbt to death ... "as it is, the soft, sentimental woman with extremely endpfindsamem labored. Thus it appears often male sober natures complete constant contradictions, and it is incomprehensible to them, as after they just still cheerful heart, was now suddenly a far bellied Traenenkrueglein NECESSARY, to ensure that they, as from the heart, can cry efficient and productive.

it for a man who understands not tolerable to women is not very easy, the sentimental Evastochter needs. Since he did not understand the reason for her mood swings, he will tend to be whipped her tears as "hysterical fuss," and no man loves Frauentraenen, they are at least is inconvenient. But proposes the seismograph their spirits up and out, it appears cheerful and happy, and this is done for a very geringfuehgigen reason he did not perceive, it can would, unfortunately, that he might be from the "childish silly posturing" talks.

you get, my brothers, do it with such a woman, it GOBT still very many of them, just because their properties have to apply as a typical female, so you are asked to initially clear call in the memory of that woman but a completely different sort of creature as the man is.

Thursday, May 15, 2008

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But not all silence is golden

What happens if it turns out that we have given away our heart to a woman who does not just quiet, but closed it? That would be a case that requires a lot of very natural cycle, because with it we must be particularly careful around. Most

is their reticence is based an experience that they carry around with them unprocessed. We are never allowed to intrude into force, we may never show impatience, because then they would only be closed. The best thing to do, their reticence seems not to notice. We must remember that also sealed the women have the longing to open up their hearts once. But that requires trust, and we have to gain that trust first.

To achieve this success, it requires some effort and Ruecksichten. An unjust word, spoken in the thoughtless moment can already do to anything that was laboriously prepared in months. Therefore, one must of us who take it wants to exploit a potential isolation, his self to be sure. He is then given as a reward a special devotion and trailers.

But I must warn you yet, friends. Not every silence is golden. You can get so mysteriously closed its also a deaf nut which is locked in because of its lack of content in your.

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The Quiet

is apparently much easier to deal with a quiet woman. Because it is always sanftmeutig awaiting the suggestions and wishes of their "Lord" and "territory", it will always fit and send almost humble in everything. What a comfortable existence for the man!

But here, dear friends, there are two sides. Mag us for a while also flattering to hear always a quiet "yes" and to see a gentle smile, sooner or later it seems to us, as perpetrator of the good of the good sometimes too much. Sometimes, quite against our will, but perhaps sometimes out of arrogance, we are against them nervous and moody, as if to try a little devil in us, how far the game drifted to sleep because ihrere. As the Good still behaves quietly and calmly as Of course, even this new part of our being accepts, may be out of the sewer line even deadly serious, until we schlieslich scold her and the peace and serenity accused as an error. You know how much it can excite you when a person remains calm.

Although they will tell us a little yes, if we hurt her, either because your resting caught our nervousness, or because we let ourselves be carried away even to call them and lamgweilig temperamentslos. But her silent grief and unshed tears are more painful than some unmistakable outbreak.

They are delicate little plant, the quiet, drum should be careful not twice, hurting offernig you. Proper is it now and then a little aufzumintern to make them understand that they have a shot of vitality rather well decent.

Tuesday, May 13, 2008

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Fractal Music

musicians are sometimes secret mathematicians, their language is different!
They create structures such as fractal art, one could mathematically describe musical structures, the description of supplies with the help of notes, a first abstraction.
But you can write the other way around mathematical structures in musical form and reproduce. It's old hat, that musical and mathematical ability are related. I am not a teacher, but perhaps a little more music in math lessons would be quite cool and a little more mathematics in music education is not uninteresting.

Sunday, May 4, 2008

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short, the Passionate

colorful yet as a Mr. fold. Mysterious than the sea. Spunghafter as a chamois. Docile like a king poodle. Tempting as a fine wine.
I ask you, what can that be?

The life Kluge knows exactly the answer is ... it is a woman!

Because I'm just as good in the stuff, I reach out my tab the lively one. Takes you everywhere beginning of life, even in the interior of a man. Ease and long superiority does not love, it always means that strike a merry gallop.

"Not too often tighten the reins" or even draw a hard line. But take when it comes to temperamentxoll, then once the reins firmly in hand. "

riding this rule could be applied very well even with racy spirited women who claimed a dashing horseman, who had a gradezu proverbial luck with the ladies of the highest circles like the cute little Balettmaeuschen.
Let's try with his method. to be more than bombardment with pillows, or hit by a flying saucer, we can hardly likely to happen.

But when we try to gag down the line, their temperament, they will break out, far demolish more. Temperament and needs spuehen crackle.

Can you, my dear fellows, rocket fireworks is not tolerated because of your temper or your nervous nature zuwiderlaeuft make then stay away from the spirited, the other of your sex life the only attractive and ueberraschungsreich. Many of us need that to in one way to find all the things that they otherwise would have to look at Various.

should swirl it already, it is already flashing. Just do not get bored sitting around the fire. Will you come with me then as a wife, and I feel very well, dear, I could forgive you everything, just an actress must not be you.

rhymed Leaders welcomed the beautiful Marie Smolenitz that the urbane fashion painter Daffinger the unfortunate Grillparzer, the only worship, but could not conquer, snatched from under the nose, your wishes her fiance be identified. He directed danahc and marriage to his beautiful model a perfectly happy, despite many a hurricane. But he knew that to steer sent.

Thursday, May 1, 2008

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The chivalry of a woman compared to?

Now we want to deal with the woman clarified. It is perhaps the easiest, but also the hardest to treat. This may sound paradoxical, it is not. You will forgive tactical error with the generosity of understanding human inadmissibility easiest, but clock error, however, feel sorry about the painful and even impossible.

A woman who no longer comes as a lover in question, without any consideration to deal with their femininity, is one of the unfortunately very often committed Clock error. A woman remains a woman even if she only camaraderie begehrt.Diese they will pay double in mass, if the handling is matched with her on the score of their femininity. The recognition of their good and neat appearance, their understanding of everything and they always enjoy their mental elasticity. Moreover, as far as their mental elasticity, so these increases generally with age, beginning in which love and suffering markedly friends to take a back seat. This finding did not only physicians and psychologists, but also women themselves kritikfaehige

Well may we men do not praise but this elasticity as an advantage of the early ages, or even as old age . Dub So that we would even with the generous step into my foot, but we have to designate it as an appreciation of maturity. forget

The chivalry of a woman who, no longer belongs to the "so-called" desirable ", is always a bad poverty character for a man In general, the chivalry towards the fair sex, no matter whether young or old, always as an indicator of the culture of the individual, as a nation, indeed a time been considered and, as it is, even today.

If I nachgruebele about the nature of the women about it and how to address them, I get more into the realm of Gedankenspruenge because loved ones depend on always new hurdles, about which we must jump to get to her heart. Dealing with women is much more difficult to populate as with all other beings, the earth.

"They are in some similar and yet different. they are a part of us, but they are much partakers, what we lack, "

voiced thus Lessing and we have to agree with him.

But stability is a virtue of the man and we are constantly updating our research in the field, how do we deal with our prudent and wise to Rippenstueck escaped so that it adapts itself to us love and we inflict upon each other no complaints . Continue

After we have divided our revered and loved daughters of Eve in three major categories means that there now to take into account their dazzling Multivariancy and they split into groups and factions. Not an easy task. Love Studiengefaehrten knows her conundrum in terms of Femina:

Saturday, March 1, 2008

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games with integer lattices