Restoring the digits of natural numbers. Famous photoblogger Pavel Kosenko will tell in Vladivostok how to revive the “digit” (interview) Write in purple ink on pink paper. Carry with you on deals

Vladivostok is becoming more and more advanced in matters of photography. The active photo community united around the Vladivostok branch of the all-Russian photography school attracted the attention of photo traveler and color correction guru Pavel Kosenko. On May 22, he will literally come to Vladivostok for one day with his “Living Digital” master class.

On the eve of the master class, a VL.ru correspondent asked Pavel several questions via email.

You recently held master classes in Novosibirsk and Tomsk, are you flying to Vladivostok from Yuzhno-Sakhalinsk, is this something like a touring “chess” or something else?

Well, yes, if you look from the outside, you can say so. If I received this question in a personal interview, I would answer “of course!” However, I’m not sure that the joke will be understood in text mode, when you can’t wink at the journalist. Therefore, I will still try to answer in detail.

In fact, the word “ches” is not suitable here due to its emphasis on the financial side of the issue. The fact is that I always try to be guided by an inner interest in what I do. Money, of course, is important (and even very important), but it is secondary. This is a rather important moment for me, a certain philosophy of life. For the same reason, I have never made any special efforts to popularize my blog. If I write about what is interesting to the majority, and not about what is interesting to me, I will become a slave to my audience. At the same time, I am always happy when topics that are interesting to me become interesting to other people.

Usually my projects begin with the initiative of friends, acquaintances and readers of my blog. Several years ago, they began to actively ask me for offline meetings in a training format. I said, “Guys, all my articles are already posted on the Internet for free.” To which I received the answer - “well, you need to read this, understand it, you’d better gather us together, explain it in plain English, and we’ll pay, no problem.” This is how the photo school appeared. By the way, I myself did not teach anything at that time, but simply invited my teachers. Then people began to ask me to go on photo trips to learn “in combat conditions” and combine business with pleasure. This is how photo tours appeared.

I'm currently writing a book based on my research into color in digital photography. I have been concerned about this topic for many years, and I have devoted a lot of time and effort to it. The colors that modern photographers obtain using standard approaches to color correction (imposed by camera and software manufacturers) have long ceased to suit me. Gradually, I understood the problem and developed effective approaches. They went far beyond post-processing. The answer to the question of how to make beautiful color in photography lies primarily in artistic knowledge about color, the history of visual art and photography in particular. And only by understanding the aesthetic features of human perception, we can correctly determine the processing criteria and organize the correct technological process.

Over the course of several years, I have accumulated a lot of thoughts on this topic, both theoretical and practical. Relevant articles were published on the blog and discussed with readers. At some point, it became clear that there was so much information that it was time to systematize it. After six months of working on the book, it became necessary to test its main postulates for strength. That is, speak out loud to people interested in the topic and listen to their feedback. This is how the idea of ​​the “Living Digital” master class was born.

As soon as I mentioned this on the blog, I was immediately invited to speak in St. Petersburg. As soon as I announced this trip, similar invitations began to arrive from other cities - Novosibirsk, Tomsk, Yuzhno-Sakhalinsk, Vladivostok, Rostov-on-Don, Voronezh, Irkutsk, Yekaterinburg, Kyiv, Minsk and others. Some of the master classes have already taken place, some are yet to come. Of course, I am very pleased that the topic turned out to be relevant, and my developments in revealing it were in demand.

Can this be called scratching? Yes, since I actively travel around the ex-USSR and, of course, earn money. But for me personally, the opportunity to “test” the topic and discuss it with like-minded people is much more important. As the satirical writer Andrei Knyshev says, do not confuse cause and effect. There is especially no need to confuse the investigation.

And in general, I am a sociable person, I am always interested in what creative processes are happening in other cities.

From the description of your “Living Digital” master class, one gets the impression that digital photography produces an inanimate picture, how can a photograph be alive or inanimate, what do you mean?

Of course, the concept of “living” photography or “living color” is relative. However, in digital photography there are indeed a number of objective reasons due to which colors often turn out disharmonious. At least with the standard, most common approaches to work. Not all photographers see this, especially beginners. Understanding comes, as a rule, with visual experience, that is, after some time of practicing photography. Awareness of color harmony (disharmony) determines the very boundary that separates the “living number” from the non-living one. And “digital” (not film, plate, daguerreotype, etc.) - because we are talking specifically about modern digital photography, and how it can be made better.

Today there is a boom in photography education in the country! You come to the Academy of Photography; you yourself founded a photography school. Where do you think this interest in learning among mass amateur photographers came from, and is it even worth learning if almost everything is on the Internet?

Photography is the most accessible form of creativity, and the need to create is in a person’s blood. Once technology allowed photography to penetrate deeply into every home, there was a critical mass of people wanting to create more consciously and effectively. In addition, nowadays the Internet is actively developing and the spirit of competition generated by virtual communication encourages learning.

I also used to think - why take courses if everything is on the Internet. As it turns out, most people don’t want to read the article. This is the same as learning English from tutorials - please download (buy), there are a lot of different ones, sit and study. However, most people prefer to pay for courses so that the process is systematized, tied to a specific schedule, so that homework is given and checked, and in general, so that they have to read less and listen more. And be able to immediately ask a question to the speaker.

At the same time, there is a certain layer of self-taught people who find it easier to read “help books” and figure it out without outside help. But there are still many more who want to learn with the help of experienced comrades. The entire education system is built on this. Otherwise everyone would just sit in libraries.

What do you know about Vladivostok? Are you interested in our city outside the context of holding master classes?

The Far East in general was and remains for me one of the most interesting places that I would like to explore. True, before I was interested in nature (landscape, animals), but now - in people’s lives - street photography, genre photography. I know little about Vladivostok. Associations are limited to Russian Island and Japanese cars, which, by the way, I really love. I still fondly remember the Toyota Chaser, which I drove in Moscow for 3 years. I also have friends and partners in Vladivostok whom I can’t wait to see. Unfortunately, I will be in your city for less than a day. Therefore, for myself, I regard this as an opportunity to “at least take a look” to begin with. And, of course, chat with interesting people!

NUMBERS FOR WEALTH...

MONEY AND LUCK CODES.

LUCKY CODES.

With the help of numbers you can change the course of your life: attract love, restore relationships, increase wealth, push aside troubles...
Here are some of the combinations that anyone can use.
3-3-3-5-7-9-9 - Code for attracting the energy of abundance, helps in solving financial problems, attracts monetary energy.
1-8-5-1-5-1-8 - Code that helps you overcome obstacles.
5-1-1-2-4-6-1 - A code that gives confidence and strength, helps to harmonize personal relationships.
8-9-3-1-5-4-2 - The code for good luck in any endeavor, gives strength, power and health.
Don't believe me? Try it yourself!

SPEED UP AND SLOW DOWN

If you need to speed up this or that process (for example, you are late for work, but, as luck would have it, there is no transport, or there is no money left in your wallet, and your long-awaited salary is delayed), repeat to yourself as often as possible: “twenty.” 2 will increase your efforts, and 0 will negate the force of opposition.

If, on the contrary, you need to slow down this or that process (for example, a child told you that he intends to get married urgently, but this is not part of your plans), repeat to yourself: “four.” 4 is a square, the most stable figure. It is she who will delay and ground the action. In addition, all sides of a square are equal, so no matter where you throw yourself, it’s the same thing - stability and deceleration.

If you need to add something (for example, the number of bills in your wallet or the number of fans), imagine it and repeat: “seven plus one.” 7 is the number of mysterious action, 1 is the number of purpose and energy, and 8 (7+ 1) is the number of infinity.

If you need to lose something (for example, your own weight), imagine yourself slim and repeat: “ten minus one.” But in this case, be prepared for changes: 10-1 = 9, and 9 is the number of changes.

If you need to build or restore something (New Year, relationship with your boss or loved one), imagine this something and repeat: “forty forty.” Say “forty forty” and what you are talking about will multiply to infinity.

If, on the contrary, you need to destroy something, you must imagine this something and say to yourself: “forty-four.”
Firstly, these numbers look like two lightning strikes.
And secondly, the superposition of one square (4) on another square (4) splits any stability into parts, because there are eight angles, and 8 is the number of infinity.
This will result in crushing to infinity - into dust.

If you lack happiness, luck, ease, repeat: “twenty-one.” By the way, if you calculate the numerological meaning of the word “happiness” (that is, add up the letters in their digital calculation), you will also get 21!

If you don’t have enough time, repeat to yourself: “ninety-one.” 9 is a change, 1 is the fastest number. In addition, 1 is the beginning, 9 is the end, that is, full coverage of the time cycle.

This series of numbers will always bring you good luck, you can write it on a piece of paper and always carry it with you, you can pronounce it in difficult situations. You can use these numbers when playing the lottery or as important dates.

Start on the new moon!

7753191 - this is a magical mantra that came to us from Tibetan monks.
By repeating this seven-digit mantra 77 times daily (it will happen
one number at a time: “seven seven five three one nine one”), you will attract
bring money and other material goods into your life.
The mantra really works.

What to do with a piece of paper on which the numbers 7753191 are written after
How will the time of 77 days pass? -

We need to connect four elements to this piece of paper.

We must start with the element EARTH. If you have a pot of soil at home
(for flowers), then you need to purchase some plant seeds and first
bury your piece of paper with the numbers 7753191 with the words:
“The earth is full of riches, you are now my dream” (say 3 times).

Then plant the seeds (but not the plant cuttings). Pouring water
You will introduce the element WATER. While watering, you need to say the words:
“Water and earth, revive the seeds” (3 times).

The element AIR must be attracted by simply ventilating the room,
and the pot of Earth should be brought to the open window for a minute with the words:
“I need you, Air, like light, and give my dream Dawn” (3 times).

This can be repeated every day, but be sure to do it for three days.

When a sprout appears, you need to attach this event to the element of FIRE.
Light a small candle and say the words (3 times):
“Burn, Fire, candle, burn and destroy poverty,
Let the sprout that hides the money sheet grow.
And I will prosper with him, attract wealth in Money.”

Money codes

Write in green ink on blue paper.
Carry in your wallet.

"GPMCBC"

Store in a safe or box.

"VTsMKGU"

Write in red ink on pink paper.
Keep at home

"PRDKVF"

Write in blue ink on white paper.
Carry in your wallet.

"UMHKBR"

Write in purple ink on pink paper.
Carry with you to deals.

"KBBFDC"

Write in green ink on yellow paper.
Carry in your pocket.

"LLVTsMP"

Write in gold ink on green paper.
Keep it in your pocket when gambling.

"PURKKB"

Write in pink ink on white paper.
Carry in your wallet.

"MUUFPPK"

Write in blue ink on pink paper.
Store in a safe.

"PKKBMSHA"

Write in blue ink on green paper.
Take it with you on commercial trips.

"PPPMKUB"

Another money code, very

effective.

Charging business cards.

This ritual is for business people who never leave home without a business card. I'm nervous, God forbid!

It's just that not everyone has them. I have it, and I did the ritual.

Helps great! The purpose of the ritual is to attract success to your business.

It’s done like this: write the magic word in Latin letters in tiny letters in one of the corners of the card -

VEHUIAH

Place a stack of business cards with a written word on the table, sit at the table in a dimly lit room, you can light a candle. Look at them for 40 minutes without looking away and mentally imagine how they fall into the hands of the people you need, how much money they will help you earn,

how you spend this money, how great everything is with you and how happiness smiles on you. Imagine how much money you will make with these business cards. Transfer your energy to the cards, take them in your hands, think of them as your friends and helpers. Then blow on the stack three times. Set the cards aside.

This must be done for 28 days. Yes, the ceremony takes a long time! But it's worth it! Then you can put business cards in your wallet and hand them out if necessary. It is best to start the ritual on Wednesday. Success is guaranteed!

VEHUIAH

It can be written on your wallet, on your credit card, or you can write it on a piece of paper and put it in your purse.

In order not to frighten others, for example, on a gold-colored credit card, you can write in matching gold ink. After writing, do not use the card for several hours; the code will be activated.
If the code is subsequently erased, it’s not scary, energetically it has already been applied.

When I noticed that the page numbers in books interested the child almost more than the pictures, I thought about selecting appropriate literature. By the way, in the house there was a thin book by Samuel Marshak “From one to ten. Merry Counting”, with illustrations by Konashevich - bought a long time ago at a second-hand bookstore and exactly the same as in my own childhood. Its pages are inhabited by flexible, long-legged animated figures, Soviet schoolchildren and mysterious tiny people. Tiny boys and girls in bright skirts ride on doubles, reconcile little ones who have quarreled with each other, and secretly sneak into children's rooms, carrying children's, very authentically depicted, stockings and shoes.

At one time, I was captivated by the combination of the tangibility of the drawn world and its conventions in Konashevich’s illustrations. Some numbers in the book look like curved human figures, others turn into objects. Three are fishhooks, six are locks, seven are pokers. The son tries in vain to find a hidden number in the stove-stove - as if its intricate silhouette cannot appear in the picture just like that.

The artist leaves a lot of air to the numbers. They walk freely in the greenish fields, surrounded by curious little people. Each number for the little men is a new phenomenon and a significant figure, they look up at it, but are not at all afraid - they grab the zeros by the sides and bravely wield an oversized poker - seven. Now it seems to me that, using such a scale of figures, the artist captures the moment of enthusiastic discovery. My son looks at house numbers with about the same expression.

Leafing through Marshak’s pages, I thought that not only objects can be counted. Nine is bedtime and the start of school. A spread dedicated to the number seven depicts the progress of the school week. The four unfold the room in front of us in a plane so that all four corners are clearly visible. Counting, a seemingly applied activity, gets its own “certain kingdom-state.” In the book, bright and reliable, there lives free mathematics, not tied to the calculation of apples or candies. Six kittens, five fingers can be counted, but zero cannot be counted, but this does not make him lose his face and character.

More than others, my son likes the quarreling ones and the huge mare two.

Two sisters - two hands
They cut, build, dig.
Weeds tearing up in the garden
And they wash each other.

Two hands knead the dough -
Left and right.
Sea and river water
They paddle while swimming.

The son accompanies his bedtime reading with gestures, inventing a developmental exercise for himself about “left” and “right.” He sings about the four legs of a mouse and a cat (the abundance of kittens on the pages of the book is a special joy). After a week of continuous reading, he hardly confuses the numbers six and nine.

What fascinates me in my son’s communication with Marshak is the opportunity to become interested in something from scratch and the free, unconditional choice of the subject of this hobby. Why numbers? The eldest daughter at his age preferred road signs. There is only one thing where my observations fail: I just can’t understand why the child flatly refuses to listen to a poem about nesting dolls with their favorite number eight.

Sofia Sapozhnikova

Here we will meet problems involving arithmetic operations on natural numbers, where some of the digits of the numbers are known, but most are not. We will denote unknown numbers with asterisks. You need to find all the numbers indicated by asterisks; if there are several answers, then you need to find them all.

It is interesting to see how in a problem where sometimes two or three, or even one, digits are known, but there are many unknown digits, it is possible to find these digits - to get everything out of almost nothing.

The problems in this topic assume that the first digit of each number is non-zero.

Restore record:

First, let's find the second digit of the divisor. Since it, when multiplied by 7, gives a number ending in 8, then this figure is equal to 4.

What is the first digit of the divisor? Obviously, 1 or 2. If the first digit of the divisor is 1, then 14 when multiplied by 7 gives a two-digit number 98, but should give a three-digit number. This means that this case is impossible.

Let the first digit of the divisor be 2. Find the first digit of the quotient. It is equal to 1, since 24 when multiplied by this figure gives the number 2*. Finally, the dividend can be easily found by multiplying the divisor of 24 by the quotient of 17.

Example 2.

Find unknown numbers in the entry:

The first digit of the sum can only be equal to 1. Then the first digit of the second addend is 9. Hence, the first digit of the second factor is 5, and therefore the second addend is 95. Then the first digit of the first addend is 5. Therefore, the second digit of the second factor is 3 .

Answer: 19 53 =1007.

1. Recover records:

a) 97 11=1067 b) 23 34=782 c) 58 91=5278 d) 19 59=1121

2. Restore the recording:

120 98=11760 or 115 98=11270

3. Restore the recording:

a) 124 97=12028 b) 19 53=1007 c) 505 101=51005

4. Recreate the example for multiplying natural numbers if it is known that the sum of the digits of both factors is the same.

5. Is it possible to place any ten numbers in the circles of a given figure so that the sum of the numbers at the vertices of any black triangle is equal to 1996, and the sum of the numbers at the vertices of any white triangle is equal to 1997?

6. Recover records:

3*2 **3

*2*5 **3

a) 415 382=158530 b) 113 133=15029

7. Restore record: *3 3*=3**

8. Recover recording**

91 11=1001 or 13 77=1001

9. Restore record 91 **=***

10. Restore records: a) ** =1 b) *** 9=***

a) 10 1-9=1 b) 101 9=909, 111 9=999

11. How many solutions does the problem *** 9=*** have?

12. An error was made in the multiplication example. Where can you see this?

The second digit of the second multiplier is exactly 9, but its first digit must be greater than 9, and this is impossible

13. Recover recording

14. What is the smallest natural number that the number 7 must be multiplied by in order to obtain a number written as nines only?

15. What is the smallest natural number that must be multiplied by 12345679 in order to obtain a number consisting of only fives.