notice to mariners.
A square of an integer can never end with a digit that is 2,3,7 or 8.
can only end with a digit that is 0,1,4,5,6,9.
other hand, considering the last two digits can end only in these ways:
00
01, 21, 41, 61, 81
04, 24, 44, 64, 84 25
16, 36, 56, 76, 96
09, 29, 49, 69, 89.
So if you see a whole number that ends in one of these 22 ways, is not a true square, beware!
The theory numbers "are the integers 1,2,3 ,........ So here we will treat integers.
odd numbers divided by 4 to give the rest a rest or damage 3.
The primes> 2 are all odd, therefore, divided by 4 to give a rest (in this case are said to be of the form 4k + 1) rest or give 3 (are of the form 4k + 3).
Pierre De Fermat was the first to say that every prime of the form 4k + 1 can be written uniquely as the sum of two squares.
Examples: 17 = 1 2 + 4 2
13 = 2 2 + 3 2
29 = 2 2 + 5 2
41 = 4 2 + 5 2
(Instead, the numbers of the form 4k + 3, first or not first, you do not can never write as the sum of two squares, and this can be demonstrated in a simple manner).
Fermat This finding is fascinating because it is known that prime numbers can not be broken down into factors, but he has shown us the way to decompose a single prime number, which is not the factorization but it is the decomposition in the sum of two squares. What to say instead of the primes of the form 4k + 3?
For the moment I found a way to break down, similar to that shown by Fermat, not a prime number of the form 4k + 3, but the form 8k + 3.
and it is this: each prime type 8k + 3 can be written uniquely as the sum of a
squared plus twice a square (n = a 2 + 2b 2 ).
Esempi: 11 = 3 2 + 2 ·1 2
19 = 1 2 + 2 · 3 2
43 = 5 2 + 2 ·3 2
59 = 3 2 + 2 ·5 2
Per il momento custodisco la dimostrazione gelosamente per me (nessuno così si potrà impadronire in modo facile indebitamente del mio lavoro), ma vi invito a trovare un controesempio (può sempre darsi che io abbia sbagliato qualcosa senza accorgermene infatti, nessuno è perfetto), cioè un numero primo any of the form 8k + 3, which is not expressible uniquely as the sum of a squared plus twice a square.
Now we can expect everything. The limit of decency has been exceeded. One thing is certain: Berlusconi as well as have the number of all the prosecutors in Italy to leave her "girlfriends," said the number of all the television talk shows. By now I expect that someday phones to the "test of the cook" for complaining too much use of eggs, eggs that he considers the left. And the owner of the information in Italy and it shows in this way. Before the call to Ballarò (Rai), the ongoing intervention programs Mediaset, and then the phone call yesterday to "The Infidel" (LA7). Its monopoly. Phone calls left and right. Its continuous scrambling. The prime minister spent more time on the phone to make people laugh Italy than to do what they were elected. Silvio Berlusconi could be terminated even stalking. Stalking the Italian people. We are tired. His arrogance has fed, and not only that. Yesterday was peaked with his call to "the infidel" Gad Lerner La7. "A transmission disgusting, run a despicable, vile, repugnant," these are the words of the President of the Council which then continues: "I heard a false argument, far from the truth, I saw a reconstruction of reality from the truth."
continued: "You have offended Mrs. Minetti is a wonderful person, intelligent, serious preparation. She graduated with honors with 110, and English-language studies has paid work. That is a lot more of these so-called master ". That Carmen Llera Moravia, Ilaria D'Amico, Lucrezia Lante della Rovere and the "scrapping of the PDL" will be judged (except Mortal Coil and Maristel which, however, the prime minister did not refer). At this point, Lerner replied: "The ladies are not so called and she is a peasant." Search Google Images "Nicole Minetti, you will realize how it is paid for his studies.
But that's not here, now comes the delusion of omnipotence. "I end up - says Berlusconi - calling on Mr Mortal Coil to get up and come away from this brothel television." Clearly the Premier is used to treat women as objects. Here's the video of the call:
The most shameful thing is that everything he does only the dear B. But also those around him. Just make a name for all to understand: Daniela Santanche. That's right, just that Santanchè weather Berlusconi declared that he can see women only in horizontal and now defends it at all costs.
Guest del tg la7 condotto da Enrico Mentana, il sottosegretario all'attuazione del programma "risponde" a distanza a Luciana Littizzetto che, nel corso di 'Che tempo che fa' aveva detto: "Voglio fare come la Santanchè che entra ed esce dai programmi a suo piacimento. Sogno che a questo punto vada da Mentana a mostrare il dito medio". La Littizzetto si riferiva ai due episodi avvenuti nelle ultime puntate di 'Anno zero' e 'Agorà': entrambe le volte, Daniela Santanchè aveva reagito con nervosismo, abbandonando anche lo studio, perché infastidita dal modo in cui veniva affrontato il "Caso Ruby". Ecco il video:
What can I say .. Everything is literally disgusting. They have no respect for anything or anyone. The Italian people is just the latest of their thoughts. They are competing to see who makes the most rude. There are those who insult, those who go forth (to the Santanchè "Annozero" and "Agora") and those who remain (This Mortal Coil in "The Unfaithful"). What a laugh. They are the fruit now, but what worries me even more is that unfortunately there is no alternative, perhaps. No longer accept the comparison, each word is a stab at which react with arrogance and omnipotence, but we know that the truth does male.Fanno laugh, they are ridiculous. Ridiculous as those who insist on defending the indefensible. These people have the ham slices over the eyes not to see, I would say that they own the pig (a reference is purely coincidental). Wake up Italy!
We learn from the media that have occurred in mass die-offs of birds ...
this phenomenon splits into two people that fatal catastrophe ... these considerations will not serve to increase the number of people in favor of the Apocalypse and those uncaring, but the considerations, short and concise, that follow are intended to promote the awareness and improve the acting.
that in the "history" there have been mass deaths of birds is still true, just think of the opening day of hunting, or the slaughter of chickens, pheasants, quail, etc.. farming, or the mass die-offs of so-called "natural" for bacteria by viruses, poisoning of grain or whatever, there are and have been, though not frequent, and often then we speak of "death by natural causes" for exonerate the actions of man, but this is not the point.
You do not want to prosecute at all costs or find a culprit. But understanding the importance of birds not only from the point of ecological but also from a scientific point of view, spiritual or supersensible.
What are the birds in the economy of nature? What is the role of the supersensible birds? What are the roles in the ecosystem and birds that have relations with humans?
modern ecology includes many useful functions in the food chain of birds ... each species is responsible for a specific action in biodiversity is a balance of fertility and prosperity of the territory. On these issues, is evidence of their extraordinary interest, and it follows that their absence creates a void biological unbridgeable.
But little bird that eats seeds in the garden, blackbird that we "care" the worms in the garden, that pigeon who "scagazza" what is it on the windowsill? That there is business in nature?
Things are more serious than you might think.
The quality of life in relation to the territory
Birds beings are storing heat, this heat is accumulated in the blood and in their hollow bones, a hidden bird of their duties is to distribute the heat into the air at several levels, from a particular wisdom, unfortunately hidden wisdom of the human eye hardened. Sure you might think that the heat is distributed by itself even without the birds, in fact where there are birds is higher than the number of insects which in turn also function to distribute the forces of light, and even where there are no insects in the desert or freezing. In fact, every bird has the task of "spreading the heat" on several levels. Some might think that the heat meant here is the physical temperature, but this is not the intrinsic quality of the living warmth of nature. In fact, the earth as a living planet, has a heat that continually distributes living wisely in different parts of the world, including migratory birds.
The lack of birds caused if prolonged or sharply at first could create an increase in insects (which?) with immeasurable damage to agriculture, then later in the territory of the formation of desert areas, arid areas, where very little rain or cold on the contrary, without possibility of determining in advance. It's good to play early and intervene appropriately to create an ecosystem of trees and hedges that create shelter and habitat for many species of birds. Only through the formation of biodynamic agricultural organizations can avoid this scenario.
The natural decomposition of the body of birds
However Nature takes care of itself ... In fact, where he died a bird, are released forces of self-healing, the body of free ground forces and substances beneficial and "spiritualized" the ground just where the body decomposes, in the sense that it leaves particles "homeopathic" fine such as "tidy up" starting from the ground. Here again, the birds must be buried deep in the earth, in the territory where they died, and not collected in bags and then burnt it "infected" ... would create more ash particles and harmful to the life and soul group of birds, which has worsened the situation considerably. Only knowledge that takes into account the physical and subtle than can help improve the human future - agriculture.
birds in relation to the physical health of man
But the birds play another function "invisible." The birds turned many substances through digestion. In a sense not only eat but eat through breathing harmful particles in the air, make a pre - digested in food chain. Pre-digested substances in the air for humans are poisonous and indigestible, and they will deliver the digest to the ground as fertilizer.
birds play in the atmosphere and the body farm for something that if man is not capable of doing, such as cows that eat cellulose without problems, the animals from the farm to eat what the man is waste (straw), such as the earthworm eats rotting substances, ciò che per l'uomo è veleno, e ci elargisce concime. Si potrebbero fare molti esempi.
Gli uccelli possono mangiare nella Natura anche semi che per l'uomo sono velenosissimi senza alcuni problemi. Ma gli uccelli lavorano ad un gradino superiore e mangiano sostanze omeopatiche dall'aria fortemente velenose per l'uomo e gli animali (spiritualizzando la materia) e rendendola digeribile. La mancanza prolungata degli uccelli crea un vuoto biologico- spirituale, successivamente aumentano nell'aria e nel suolo le sostanze tossiche e conseguentemente nelle piante, poi dalle piante al cibo; la presenza di sostanze finissime ma velenosissime nel cibo potrebbe provocare difficoltà digestive, ma soprattutto potrebbe provocare l'aumento del mal di testa, It will focus not only unfortunate but can be some headaches mass or mass poisoning common in some areas of the earth. Never in the future then you will think that the factor may be the lack of wild birds. The birds indirectly contribute to our physical health. Without them you can not stand.
birds in relation to the quality of spiritual life
viewed from a human point of view, for someone who is unusual and bizarre, the birds are also to be considered the "blotters" of thoughts and emotions of men, these creatures have a duty to keep energies and forces unleashed by the man and put back into circulation using the air and the earth. To understand this, it is like watching a dog and his master will be observed that often the dog has "strange" behavior attributed to the soul-mind-nature of the master.
birds working in the higher spheres aggregating to itself, near the tips of their wings special forces, freed from the turbidity of human beings, a bit 'like a plane that in-flight static electricity builds up in the wings and the door a place to another. Each species of bird has specific functions of absorption according to the fragmentation of the human soul nuances, such as pigeon-trapping "shabby opportunism" doves "indifference" magpies "greed for material things" and so on. Every animal in nature is the buffer and a mirror to what the human issues.
But be careful not to make this statement ridiculous or superstition, but to verify it with his own sensibility. The lack of presence on the biodiversity of birds and forced the single species or life, eliminates the possibility of falling back to earth some animating force, resulting in deterioration of the human soul and have an atmosphere of "heavy" in terms of we can do unless the birds close to our homes, fields and towns, the aridity of the human worth. There are also
altri aspetti importanti in relazione agli uccelli, alla quale l'Antroposofia può dare dei chiarimenti e sviluppi di azioni concrete. Tuttavia qui lo spazio è limitato. E si rimanda il lettore a degli approfondimenti di agricoltura biodinamica.
Queste osservazioni qui esposte vanno verificate e prese come ipotesi e non rese pane per i catastrofisti, i quali portano a ridicolizzare e a creare paure e paralisi.
L'enorme responsabilità dell'uomo ed il senso di gratitudine verso il regno animale deve sostenere le nostre azioni. Si devono attuare dei piani in difesa della biodiversità degli uccelli, piantare siepi ed alberi e molto altro, al più presto ! perché la vita di ogni essere vivente su questa terra è connessa con la vita all other living beings. Good thinking Paul
Pistis, farmer, agricultural expert and technical adviser of biodynamic agriculture.
Quale altro capo di stato, anche tra i dittatori, si sarebbe permesso di fare un' uscita come quella su Obama abbronzato? O di raccontare macabre barzellette su ebrei e su Hitler? Ma lui può! Lui ha capito più di tutti, mentre gli altri non hanno capito niente ed è per quello che lui può! (Così pensa infatti lui!) Lui che dice di se stesso che è quello che ha la migliore storia alle spalle, (storia di imprenditore e poi di capo di un governo) nessuno è come lui, tra tutti i capi delle altre nazioni! Ha pure sdoganato il fascismo: ha portato al governo razzisti e fascisti! Ha detto che il fascismo non ha ucciso nessuno! Lui è simply beyond! (So \u200b\u200byou hear him, in fact!) He is the law and the law must adapt to him, indeed! The rules are not respected, in fact! CRETIN all those who respect them! He, the only one who can change the rules in business! CRETIN all who remember that he must, at all, respect the rules, which like it or not! AGREE, YOU ARE ALSO THE BEST OF ALL (ACCORDING TO YOU!) AND IF NOT COMPLY WITH THE RULES AND 'WHY' you're too ahead of the others, POOR ........ BUT RESPECT FOR THE POOR (POOR, ACCORDING TO YOU) CAPACITY others 'WHERE'? You, the supporters, who endure, who indulged in all its absurd claims. All of you who swept the ground before him, WHY 'HIS FOOT HAS NOT collide with a troubled or against a DI PIETRO ........ you find that right man to defend beyond all human reasoning, so that seems to show that even the indefensible can find reasons to be defended! Do not have to repent in a day not far now! Yes, because he does not fight for you, even if you're fighting for him! He fights only because he (or perhaps even against himself!) The freedom for which they fight is in fact 'ITS NOT YOUR! Il benessere che gli sta a cuore è proprio solo il suo e NON ANCHE il vostro! La verità che gli sta a cuore è quella che lo vuole proteggere e NON ANCHE quella che vuole mostrargli accorata le sue proprie debolezze! L'amore che nutre è proprio solo per sé medesimo e NON ANCHE per il povero Lazzaro mendicante coperto di piaghe ai piedi della sua mensa che aspetta speranzoso le briciole, quelle briciole che lui custodisce gelosamente per sé, perché SA CHE DIFENDENDO LE BRICIOLE SI CONTRIBUISCE A DIFENDERE IL GRAN TESORO! VEDETE INFATTI COME SGUINZAGLIA I SUOI CANI A DIFENDERE COME FORSENNATI QUELLE BRICIOLE DI VERITA' CHE LO VOGLIONO DIFENDERE, NELLE VARIE TRASMISSIONI TV: POCHE BRICIOLE TRUTH IN 'TORN = BIG CONSENSUS AMONG THE PEOPLE! BERLUSCONI CLEARED OF MORAL IDIOT, mean, THAT HE WANTS TO MAKE A GREAT DAILY LIFE LIVED BACCANALE IN WHICH HE BACCANALE AND 'THE KING, the winner of THE CHALLENGES AND SUCCESS IN THAT OF LATIN-LOVER!
Pubblico una breve intervista fatta sulla televisione svizzera italiana a Giuseppe Zois (scrittore e giornalista) e Graziano Martignoni (psichiatra) su che cosa è e dovrebbe essere la Felicità. Trovo l'ambiente, il contesto e la pacatezza degli intervistati come un piccolo momento di "perduta tranquillità". Un modo forse un pò all'antica di proporre trasmissioni, abituati come siamo alle cialtronate giornaliere che ci propinano, ma che rende perfettamente l'idea di cosa stiamo perdendo. 
