Crime and Punishment, FM Dostoevsky - “We honor everyone with zeros, and ourselves as ones. We all look at Napoleons; two-legged creatures, millions for us, one tool (s) "
Write about interesting properties of numbers. Pictures are welcome!
I am spreading the interesting properties of the number, which were sent by Leib Aleksandrovich Steingarts.
1. A number in ordinary arithmetic operations behaves completely unique:
2. A number is the only number that cannot be divided by.
3. The number behaves very peculiarly when raised to a power:
4. The factorial of a number is also quite unusual:
5. A number is the only real number that is neither positive nor negative.
6. In the center of the city of Budapest (Hungary) there is a monument to ZERO.
The number means the beginning of all roads in Hungary. All distances in the country are measured from this monument.
Zero is the only number on which the monument is erected.
7. In set theory, Georg Cantor denoted the minimum cardinality of infinite sets (that is, the cardinality of countable sets) as follows:
8. Until the end of the 19th century, various countries used their own national ZERO meridians to measure geographic longitudes. With the development of geodesy, the lack of a standard system of longitudes has been recognized by the international astronomical community as inconvenient.
In 1884, at the International Meridian Conference in Washington, it was proposed to accept the Greenwich meridian for the origin of longitudes (that is, beyond the ZERO meridian) throughout the globe.
9. The number 0 has two names: ZERO and ZERO.
Both names in free use are equal. But in some fixed expressions, these words are not interchangeable. For example, only null in expressions:
But only zero in such expressions:
10. Absolute ZERO temperature is the minimum temperature limit that a physical body in the Universe can have. Absolute zero serves as the reference point for the absolute temperature scale. On the Celsius scale, absolute zero corresponds to a temperature of -273.15 ° C.
11. Of all vectors, only the ZERO vector cannot be depicted as a directional segment.
12. On any calculator, after turning it on, a SINGLE number immediately appears - a digit.
13. The first digit of a natural number can be anything other than a digit.
14.
4. Four ZEROs appear on the electronic clock at midnight.
A new day begins!
15. ZERO CROSSES is a logic game in which one of the players plays with “crosses” and the other with “zeroes”.
16. Only the number is written in exactly the same way as one of the letters - namely, like the letter O.
Previously, the number was written with a dash inside the sign (sometimes, as the Greek letter Theta is written) to distinguish it from the letter O.
Zero without this stick was either a number or a letter. Therefore, they sometimes began to say “ZERO WITHOUT A STICK”,
17. A hand gesture depicting a number in English-speaking countries means “ALL IN ORDER”, “ALL OK”, “ALL EXCELLENT”.
18. The closed orbit of any cosmic body is an ELLIPSE, which completely coincides in shape with the shape of a number.
19. ZEROs of a function are numbers from the domain of a function at which it takes a ZERO value.
20. The following property of number is very well illustrated by the famous poem of Samuil Yakovlevich Marshak.
21. On a computer keyboard, the numbers are shown in this order
This number sequence is ALMOST ascending. Only the number breaks the order.
22. In 1964, the wonderful book "THE ADVENTURES OF ZERO" was first published. This "fairy tale but not a fairy tale", which was invented by Emilia Aleksandrova and Vladimir Levshin, about numbers, their riddles and oddities.
And then a musical performance was created based on this book, and even a disc was released.
23.
This poem about ZEROs was composed by Doctor of Physical and Mathematical Sciences Herzen Isaevich Kopylov (1925–1976), whose wonderful problem on a regular polygon is also available in the BEAUTY SALON
(see item 10)
Comments:
1 Alexey:
I believe that in paragraph 16 the interpretation of the expression - "zero without a stick", is erroneous. Let us recall A.S. Pushkin: "We honor everyone with zeros, and ourselves as ones!" A stick means a “unit” with a corresponding modification of the proposed interpretation in clause 16.
3 Leib:
This is how mathematicians accepted - by definition.
For various reasons, mathematicians found it so CONVENIENT.
This cannot be proven.
Just as, for example, it is accepted that
..
.
This is also accepted BY DEFINITION.Elena Reply:
June 2nd, 2013 at 1:00Not at all.
(a ^ n) :( a ^ n) = 1,
On the other hand
(a ^ n) :( a ^ n) = a ^ (n-n) = a ^ 0
from here
a ^ 0 = 1Elena Reply:
June 2nd, 2013 at 1:10 amAbout 0!
1! = 1
2! = 1!*2
2! = 2
3! = 2!*3
3! = 6
4! = 3!*4
4! = 24
etc
and now back
4! = 24
3! = 4!/4
3! = 6
2! = 3!/3
2! = 2
1! = 2!/2
1! = 1
0! = 1!/1
0! = 1Or starting from the combinatorial problem, where the factorial actually came from
3 different items can be placed in 3! = 6 ways.
2 different items 2! = 2 ways
1 item - in one way (there is just an item) 1! = 1
0 items - again in one way (there are simply no items) 0! = 14 Technik:
5. Number 0 is the only real number that is neither positive nor negative ...? Let's refute ... with a circuit, electric.
Hello!
We open the textbook by L.A. Bessonov. TOE (1978) ch.8, §8.4 (§8.7) fig. 8.3.
To represent the parametric state of an electrical circuit with a certain
element (inductance for example) before and after switching, necessarily zero
takes a sign-defining character! t = 0- and t = 0 + !!! Takes not on its own
this is how mathematicians represent it. Zero itself is zero5 Gennady:
No number can be both positive and negative at the same time. Otherwise it won't be a number. Zero is, after all, a number, and it is considered to be positive. Maybe because they put a minus sign in front of it only in special cases.
Factorial 0! in itself does not make sense, based on the direct definition of factorial (I recently wrote about this). Mathematicians agreed to consider 0! = 1, since this helps to simplify and make many formulas more convenient and beautiful, for example, in discrete analysis.
Two in degree 0 is equal to 1, and this is proved in the theory of limits: the value as tending to infinity approaches exactly 1.
Heart-shaped glasses Reply:
June 15th, 2014 at 0:13Namsek Reply:
May 26th, 2015 at 18:59Sorry for writing in English but I’m learning Russian and I don’t know grammar well enough yet.
When I was 4 years old and I had just been told at school that there were odd and even numbers, I asked my father whether zero was odd or even. He replied “what the hell of a question is that?”
Twenty years I thought about it again and I later concluded that it was neither, since it doesn’t exist. There I also understood that it IS NOT actually a number.
Numbers are quantifications of something, zero is nothing. It means there is nothing to quantify.Zero is used in mathematics to mean an empty space. It means “nothing”. And nothing is no way on earth, positive, negative, odd or even.
To be clear, there is nothing that could be negative or positive there. Nothing is there and nothing is missing.
Positive numbers are energy / matter becoming stars, negative numbers are energy / matter becoming black holes. Zero is the void. The void cannot become a star or a black hole.The question does not subsist.
Btw, zero “is” odd. It can’t be divided by two.
6 George:
Are you not mistaken about Budapest?
Well this is the zero kilometer! The beginning of all roads in Hungary.
There it is written at the bottom of the KM.
In Moscow, there is also a zero KM near Red Square, but it has zero relation to the ZERO monument.7 Gennady:
I'll try to protect the number 0.
The attitude of the respected author and many commentators to zero (especially surprised and upset by Hamcek) inspired the famous picture: ancient times, meadow, sheep graze, night, the shepherd counts the stars - 1, 2, 3, etc. The shepherd associates stars and, probably, identifies with numbers. There are stars - there are numbers. And if it's cloudy and there are no stars? How many stars are there in this case? What is this number zero? Since there are no stars, then there is no such number. Not a number, but an empty space, a vacuum. This is exactly what Hamcek writes - the void.But now we know that there is a number zero. The number 0 was invented for him, and this number cannot be dispensed with. Don't like the order of numbers on your computer keyboard 1, 2, 3, 4, 5, 6, 7, 8, 9, 0? Are the numbers not increasing? Zero at the end of the list spoils the whole picture, and does it mean that zero is some kind of strange? No, everything is in order with zero, just the numbers on the keyboard are incorrectly placed. Place zero at the beginning of the row if we want to rank numbers. In this case, zero will rightfully take the leading place, zero heads the column of numbers, and it is from zero that the time countdown at midnight begins. I am sure that zero will also lead the natural series of numbers. Not everyone agrees with this, but it's a matter of time.
Let's transfer the ancient shepherd millennia ahead. Negative numbers have appeared, they are necessary, and everyone agrees with this, except for our shepherd. He thinks in his own categories. Kolya has 3 apples, Vanya has 2 apples, but for some reason Masha has 5 apples. The shepherd will ask: “What happened? Masha has already eaten her five apples, or does she owe those apples to someone ”?
If we add or subtract two numbers, then the result is also a number, and this number may turn out to be zero. Zero is an even number and is divisible by 2 without a remainder (http://ru.math.wikia.com/wiki/Even_and_even_numbers).
2 + (-2) = 0. What does this mean, what can you compare with? I will use the allegories of the Hamcek commentator. Zero is not matter or antimatter, zero is the result of the annihilation of matter and antimatter, the result of the collision of a star and a black hole. Zero is an explosive number, it is the number of chaos, disorder, unrestrained entropy. Therefore, zero is also a dangerous number. If zero is nothing, then this is such "nothing" with which mathematicians are still tormented in the 21st century.
And you can divide by zero, why not? We get infinity, a transfinite number (http://ega-math.narod.ru/Singh/Cantor.htm). But it is necessary to clarify, in accordance with the conditions of the problem or example, with which infinity we are dealing. The smallest transfinite number is the cardinality of a countable set. Here you have to put up, for example, with the fact that the number of all natural numbers and the number of even numbers are the same. The next transfinite number is the cardinality of the continuum. And here they will prove to us that there are as many points on the entire numerical axis as on the interval (0,1).
There is an infinite (apparently countable) set of transfinite numbers. And if we simply divide some number by zero, then uncertainty arises only in the sense that it is necessary to determine the transfinite number.
8 Alexander Berezhnoy:
Zero is also the only number on which the opinions of mathematicians differ. Whether to consider zero as a natural number or not. At school, zero is not considered a natural number, but in vain ...))
This is a phrase from Pushkin's immortal "Eugene Onegin".
We all look at Napoleons;
Millions of two-legged creatures
In this case, creatures do not mean a curse, but the creation of God. Bilateral creatures are, of course, people. And each person considers himself a little higher, better than the other.
But there is no friendship between us.
Destroying all prejudices,
We honor everyone with zeros
And in units - yourself.
Napoleon did not belong to any royal family. He came from an impoverished noble family. Even in his youth, being carried away by military affairs and writing, developing projects for defensive fortifications, he dreamed of becoming famous and getting rich in this area of his activity. In his youth, he dreamed of freeing his native island from French oppression, he hated France. He met the revolution with enthusiasm and joined the Jacobin Club.
Napoleon first made a military career, and then, in the wake of the French revolutions, took the French throne. Napoleon dreamed of becoming emperor, not in words, but in deeds, to conquer all of Europe, to rise above the world. He was recognized by his contemporaries as the greatest military leader of all time and an outstanding sovereign.
Evgeny was more bearable than many;
Although he knew people, of course
And in general he despised them, -
But (there are no rules without exceptions)
He was very different from others
And he respected the feeling out of nowhere.
In Christianity, this feeling is called pride. One of the eight deadly sins in Orthodoxy and seven in Catholicism. However, almost everyone sin with pride, and they are so used to it that they do not even notice this sin behind them.
But there is no friendship between us.
Destroying all prejudices,
We honor everyone with zeros
And in units - yourself.
We all look at Napoleons;
Millions of two-legged creatures
For us, the tool is one;
We feel wild and funny.
Life is not what happens to us, but how we act when something happens to us.
We all do this: we transform ourselves into things. We turn things into ourselves.
Everything that happens to us now is a direct result of what we have done in the past.
If you want to know the secrets of the universe - think in units of measurement of energy, frequency and vibration.
We all have our own path, our own goal, but we all have one end. All roads lead nowhere. So all the joy and meaning is not at the goal, but in the road itself.
You need to learn the rules of the game. And then, you need to start playing the best. Learn the rules and play the best. Simple, like everything ingenious.
How do husband and wife differ from each other?
The wife is the one who always obeys.
And the husband is the one who is stronger than the elephant,
And she does whatever she wants.
We can all be deceived, it all depends on the extent to which we are ready to be deceived and whether we really want to know the truth.
Internet, it does not bring people closer. This is a cluster of loneliness. We seem to be together, but each one is one. The illusion of communication, the illusion of friendship, the illusion of life.
FRIEND- "giver of intelligence"
INDIFFERENCE- the act of a soul that does not have phenomena or some abilities; a state of mind when all is "equal".
DIGNITY- the achievement of the value of any value.
HABIT- relationships in the life of an inharmonious husband and wife; replaces happiness (see A.S. Pushkin in "Eugene Onegin": "A habit is given to us from above / It is a substitute for happiness"); human actions, uncontrollable by reason.
Reflections on happiness, friendship, frailty of A.S. Pushkin's existence:
... She was dressed Always in fashion and to the face; But, without asking her advice, the Maid was taken to the crown. And, in order to dispel her grief, the Reasonable husband soon left For his village, where she is surrounded by God knows who, Tore and cried at first, With her husband almost divorced; Then she took up the housework, got used to it and became happy. A habit is given to us from above: It is a substitute for happiness. Habit sweetened the grief Not reflected by anything; The big discovery soon comforted her at all: She, between business and leisure, Opened the secret of how to govern a spouse Autocraticly, And then everything went on to become. She went to work, Solila mushrooms for the winter, Carried out expenses, shaved any, Went to the bathhouse on Saturdays, She beat the maids angry - All this without asking her husband. But her husband loved her heartily, He did not enter into her ventures, In everything he believed carelessly, And he himself ate and drank in his dressing gown; Peacefully his life rolled on; In the evening, a good family of neighbors sometimes came together, Unceremonious friends, And to press, and to speak evil, And laugh about something ... ... And so they both grew old. And finally the doors of the coffin opened before the spouse, And he received a new crown ...
... They converged. Wave and stone, Poems and prose, ice and fire Not so different among themselves. At first by their mutual difference They were boring to each other; Then I liked it; then they came together every day on horseback And soon became inseparable. So people (I first repent) Nothing to do friends... But there is no friendship between us. Destroying all prejudices, We regard everyone as zeros, and ourselves as ones... We all look at Napoleons; There are millions of two-legged creatures For us, one instrument; We feel wild and funny ... (from the novel in verse "Eugene Onegin")
It's time, my friend, it's time! my heart asks for peace - Days fly by, and every hour takes away a Part of being, and you and me together We assume to live ... And lo and behold - just - we will die. There is no happiness in the world, but there is peace and will... For a long time, an enviable share has been dreaming for me - For a long time, a tired slave, I have conceived an escape To the abode of distant labors and pure negs. A.S. Pushkin
What is happiness? .. - In the path of life, Where your duty tells - to go, Do not know enemies, do not measure obstacles, Love, hope and believe. A.N. Maikov
Earn Your Happiness
My desires
Forever I want to get away from problems, To be content with my life, So that they don't touch me with anything, And they don't do bad things with revenge. I want the world to become kinder, To end the wars, misfortunes, So that the spirit of Russia becomes more cheerful, And all misfortunes end in it! Vysotskaya E.O.
I was waiting, looking for a miracle, I knew that it would come, It would come out of nowhere, Where do you not expect it from! And so the rush of passions, the confusion of souls, will rush over very quickly, And I so want to glow, Like a ray of good, with the glow of souls! Soul, she is tender, fragile and brave, Soul sings and cries sometimes, She so wants warmth and faith, And, in general, kindness, kindness, kindness !!! Lyutikova O.
Oh my God! What is happiness? And is there any joy in life? There is? And if there is, why do we need bad weather, Anger, evil, deceit, envy, flattery? "Oh, people, do evil yourself, Insidiousness beats from you with a key! And to remove all this, Ask you to wash with the Divine stream! Mardanova Aigul (13 years old)
I do not need the treasures of the Shamakhan queen, I would like to drink water from a living stream, See how a flower lives by the road, Run through the dew - my feet would not slip! Listen to birds at dawn, as the cuckoo screamed, Here is the wealth of the earth - isn't that enough? Is it possible to compare pearls, amethysts, With that clearing in the forest and a branching birch? Will you become happier wearing a necklace Not from the hands of your mighty ones, but from glass stones? I want to see all the sunsets in the world, I want the children to be happy, To be rocked by their mothers in their cradles, And save them, Lord, never lost! So that they do not cry more at the grave, Choking with words: "Forgive me, dear!" There are no desires of others, only those that will help Strengthen my faith in Almighty God! It’s so good with God and peace in my heart So happiness has come, now I'm happy with everything! The heart has calmed down and does not rush out Under the rain and wind in the autumn cold! No, I still have one thing in my little box - To walk in the clearing by the hand with my granddaughter! Zagorskaya V.F.
Mother who lost her son
You endured a lot, paid for a lot, Your eyes are already deep inside. You are the mother who raised her son, But he was taken away from you for his sins. And our Lord is Great, He will not allow the Torment of sincere souls, And he will let go of your conscious sin, Returning the child to the vastness of the Earth. And seeing a dove in the heavenly heights, You caress him in your soul - He is a messenger, he is a messenger from Above: That a son is born, that he already lives! Uvakina L.M.
You know, my friends, As at night, in silence, I miss you! I am writing winged letters to you, And I never expect an answer, Since I forget to send them. In them I write that I wish only good for you, Only care and warmth I kindle for you in my heart! Let our meetings be rare, But the feeling for you, friends, does not die - And I look forward to a moment of meeting, So that our friendship flames brighter again! And that cry that Dumas brought to us was again able to confirm: "One for all and all for one!" - Otherwise, it can not be with friends! Smirnov V.D.
Happiness is in us
Where a huge green oak grew, Where the age-old branches of maple, On the bank of a wide river, In an unknown, distant country Once upon a time there was a prosperous merchant And he dreamed of finding a casket. The casket is not at all simple, In it there is light of happiness, peace of the soul. And somehow he could not resist And the path was going to go, He ordered to collect him on a campaign, To build a huge raft. The raft was built for a short time, They were superbly loaded with supplies, And in the early morning this raft With the merchant set off on a campaign. And they sailed a little or a lot, Their road was worn out, And where the merchant did not visit, Everywhere he asked the question: "Has any of the people heard, What is a casket like a miracle?" Nobody has heard of this, And a lump grew larger in the chest. Days pass and months fly, It would be time for them to go back, Here the merchant dreams of a dream at night, That beats the king with a big bow. This king said to him, As if God was sitting before him: "What are you looking for in these places And God knows you fear?" And the thought comes here to the merchant, He got to the God's messenger ... The merchant, worried, says: "I know the fear that God commands." That tsar to him: "Look, merchant, because that casket is sitting in you." And then the raft swayed strongly, The merchant woke up in sweat, He tells the merchant to turn home, And he himself thinks: "What's wrong with me?" And so soon the home is dear, The golden dome is already visible, Everything in his chest fluttered, The merchant understood: "Wait ... The casket was always with me, In my soul there is happiness, here is peace!" We often look for everything by sight, Not thinking that happiness is in us! Rydkin A.M.
Father! You are great as an abyss May it be so always I thank the Universe that You are in it for years
I go to You and this happiness It is always with me May You always be with me In bad weather and peace.
Forgive me and smile Talk to me -I will be there -I want to write Your mind dear.
Years will pass, but You will be pleasing to Me and that You gave me reason and strength And did not ask: "Why?"
I am coming to You, even though I am small, But I will grow up, I have a Father and Mother And there is nothing to moan.
Well, your turn has come. Do your thing, Now let the room be empty - And I'm not alone.
Thank you, thank you, That you understood me And I am still on fire, I give you fire too! Solonina I.M.
In search of happiness ...
We strive for happiness, but we do nothing for this. We all think that someone will do for us, and we will reap the fruits of their labor. It is a sin to think so, but most are still from this circle, even when they know that without the application of their labor, their will, their desires and aspirations nothing will happen, they sit like Emelya on the stove and wait for their pike. But this pike, first of all, must be caught, that is, to perform some kind of action, in response to which a response action will follow. How did we get to this point, why did we become so indifferent to everything around us? Is it really so easy for everyone to succumb to the temptation of the evil one. After all, even from infancy, a person tries to learn, perform actions, sit down, stand up, take the first step on his own. Where is it all lost? Why, with age, a person sometimes becomes farther from the Father than he was at birth. And all this happens because we have little contact with the Father, we do not turn to Him for advice. And sometimes, having turned, we do not try to hear His answer, but turning for advice the next time, the answer may not follow.
But there is no friendship between us.
Destroying all prejudices,
We honor everyone with zeros
And in units - yourself.
We all look at Napoleons;
Millions of two-legged creatures
For us, the tool is one;
We feel wild and funny.
Evgeny was more bearable than many;
Although he certainly knew people
And in general he despised them, -
But (there are no rules without exceptions)
He was very different from others
And he respected the feeling out of nowhere.
Yes, these are now the retreats ... “Ah, legs, legs! where are you now? " Remained, beautiful, in the first chapter.
There will still be rare sparkles (like the description of a village mazurka in one of the digressions of the fifth chapter), but in general, such a dull French morality will replace English gaiety in them. “That is how he preached” ... Alexander Sergeevich.
In the notes on the margins of the article by P.A. Vyazemsky "On the life and works of V.A.Ozerov", in 1828, Pushkin wrote -
“Poetry is higher than morality, or, at least, it is a completely different matter. Jesus Christ! What does a poet care about virtue and vice? "
Indeed, who needs these "Experiments" embroidered on the Beppo canvas? This rhymed La Bruyere? Sorry sight…