How to convert meters to decimeters?

How many decimeters are in one meter?

Therefore, to convert meters to decimeters, you need to multiply the number of meters by 10:

We will consider the conversion of meters to decimeters with specific examples.

Express meters in decimeters:

1) 4 meters;

2) 12 meters;

3) 30 meters;

4) 5.2 meters;

5) 25 meters 7 decimeters.

The following notation is used to shorten the notation:

1 meter = 1 m;

1 decimeter = 1 dm.

To convert meters to decimeters, multiply the number of meters by 10:

1) 4 m=4∙10 dm=40 dm;

2) 12 m=12∙10 dm=120 dm;

3) 30 m=30∙10 dm=300 dm;

4) 5.2 m=5.2∙10 dm=52 dm;

5) 25 m 7 dm = 25∙10 + 7 dm = 257 dm.

Svetlana MikhailovnaUnits of measurement

To find out how many decimeter meters should use a simple web calculator. In the left field, enter the number of counters you want to convert for conversion.

In the field on the right you will see the result of the calculation.

Meter per decimeter

To convert counters or decimeters to other units, just click on the appropriate link.

What is "meter"

The meter (m, m) is one of the seven basic units of the international system (SI), which is also included in the ISS ISCA, ICSC, investor compensation schemes, ISC, ICSI, ICC and MTS. The counter is the distance traveled by light in vacuum for 1/299,792,458 seconds.

The definition, adopted in 1983 by the General Conference on Weights and Measures, means that the term "meter" is related to the second by a universal constant (the speed of light).

For a long time in Europe there were no standard measures for determining the length.

In the 17th century, there was an urgent need for unification. century. With the development of science, the search for a measure based on a natural phenomenon began to allow the decimal system to be calculated. Then the "Catholic meter" of the Italian scientist Tito Livio Burattini was adopted.

In 1960, from the control male and dropped to 1983. The gauge was at 1650763.73 wavelengths of the orange line (6056 nm) in the krypton range of the 86Kr isotope in vacuum.

Currently this prototype is not useful. Since the mid-1970s, when the speed of light has become as accurate as possible, it has been decided that the existing concept of the meter is related to the speed of light in a vacuum.

What is a "decimeter"?

Distance unit in the International System of Units (SI) One decimeter is equal to one tenth of a meter.

Russian brand - dm, international - dm. There are 10 centimeters and 100 millimeters in a decimeter.

How much is it in decimeters

Unit weight
1 t =	10 centers	1000 kg	1000 000 g	1000,000,000 mg
1 c =	100 kg	100 000 g	100,000,000 mg
1 kg =	1000g	1000 mg
1 g =	1000 mg

How many dm is 1 meter?

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How many decimeters in 1 meter (how many dm in 1 m)?

According to the international system of weights and measures in 1 meter 10 decimeters.

Online calculator for converting meters to decimeters.

Converting units of length, mass, time, information and their derivatives is a fairly simple task.

For these purposes, the engineers of our company have developed universal calculators for the mutual conversion of various units of measurement between themselves.

Universal unit calculators:

Length unit calculator
- mass unit calculator
- area unit calculator
- volume unit calculator
- time unit calculator

Theoretical and practical concepts of converting one unit of measurement to another are based on the centuries-old experience of mankind's scientific research in applied fields of knowledge.

Theory:

Mass is a characteristic of a body, which is a measure of the gravitational interaction with other bodies.

Length is the numerical value of the length of a line (not necessarily a straight line) from the starting point to the end point.

Time is a measure of the flow of physical processes of a sequential change in their state, which in practice proceeds in one direction continuously.

Information is a form of information in any representation (regarding the calculation, mainly in digital form).

Practice:

This page provides the simplest answer to the question of how many decimeters are in 1 meter.

One meter is equal to 10 decimetres.

MEASURES OF LENGTH or LINEAR

MASS MEASURES

AREA MEASURES
1 sq. decimeter (sq. dm) = 100 sq. centimeters (sq. cm) = 10,000 sq. millimeters (sq. mm.) 1 ar (a) \u003d 100 square meters. meters (sq. m)
VOLUME MEASURES
1 cu. decimeter to centimeter meter (cubic meters) \u003d 1,000 cubic meters. decimeters = 1,000,000 cu. centimeters (cc) 1 liter (l) = 1000 milliliters (ml)

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Read also:

Thermal properties of substances
Density of gases and vapors

Measures of length, area, mass, volume

The table shows measures of length, area, mass, volume, as well as ratios for translation.

MEASURES OF LENGTH or LINEAR
1 kilometer (km) = 1,000 meters (m) 1 meter (m) = 10 decimeters (dm) = 100 centimeters (cm) 1 decimeter (dm) = 10 centimeters (cm) 1 centimeter (cm) = 10 millimeters (mm)
MASS MEASURES
1 ton (t) = 1,000 kilograms (kg) 1 centner (c) = 100 kilograms (kg) 1 kilogram (kg) = 1,000 grams (g) 1 gram (g) = 1,000 milligrams (mg)
AREA MEASURES
1 sq. kilometer (sq. km) = 1,000,000 sq. meters (sq. m) 1 sq. meter (sq. m) = 100 sq. decimeters (sq. dm) = 10,000 sq. centimeters (sq. cm) 1 sq. decimeter (sq. How many meters in dm dm) = 100 sq. centimeters (sq. cm) = 10,000 sq. millimeters (sq. mm.) 1 hectare (ha) = 100 ares (a) = 10,000 sq. meters (sq. m) 1 ar (a) \u003d 100 square meters. meters (sq. m)
VOLUME MEASURES
1 cu. meter (cubic meters) \u003d 1,000 cubic meters. decimeters = 1,000,000 cu. centimeters (cc) 1 cu. decimeter (cubic dm) = 1,000 cubic meters centimeters (cc) = 1,000,000 cu. millimeters (cu. mm) 1 liter (l) = 1 cu. decimeter (cubic dm) 1 hectoliter (hl) = 100 liters (l) 1 liter (l) = 1000 milliliters (ml)

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Message # 7607, written on 05-05-2018 at 19:04 Moscow time, has been deleted.

Read also:

Specific heating value of fuel
The table shows the specific heat of combustion for gasoline, wood, diesel fuel, hard coal, kerosene, gunpowder, alcohol, jet fuel (TS-1).
Anglo-American system of measures
Anglo-American measures of length, area and volume: nautical, English, international, geographic miles, inch, foot, yard, weave, hectare, acre, grain, carat, troy ounce, pound, cental, short, long and register tons, pint , quart, gallon, barrel, bushel.
Thermal properties of substances
The table shows specific heat capacity, melting point, specific heat of fusion for solids, specific heat capacity, boiling point, specific heat of vaporization for liquids and specific heat capacity, condensation temperature for gases.
Density of gases and vapors
The table shows the densities and formulas for the main gases and vapors.
Density of solids and liquids
The table shows densities for some solids and liquids.

How many liters in one cube of water?

To answer similar question, it is necessary to understand the following. To begin with, let's define what is 1 liter and what is it equal to.

1 l \u003d 1 dm3 \u003d 0.001 m3, which means that 1 liter will be equal to 1 cubic decimeter.

Moreover, this equality makes sense for normal atmospheric pressure(760 mm Hg), and a temperature equal to 3.980C (the temperature at which water has the highest density);

Let's determine the volume of the cube. To do this, we multiply all its faces. As a result, we will have 1000 dm3 or 1000 liters of water (at 760 mm Hg and a temperature of 3.980C).

Answer:1 m3 (cube) of H2O contains 1000 liters!

And now we will write answers to interesting questions from users!

How many liters of diesel fuel in one cube? — Answer: If you carefully read the material presented, you should have understood that the type of liquid does not matter. If you take a 10 liter canister and pour solariums into it, then this will be a volume of 10 liters. We found out that a cube is equal to 1000 liters. Mean and solariums will be the same.

How many liters are in one barrel? — Answer: Also an interesting question. Many have heard the concept of a barrel, but what it is equal to to represent the quantity is not entirely clear. So, barrel translated from English means Barrel. Barrels vary in size. Similarly, with barrels - there are different sizes. One thing unites them - a measure of measurement of any bulk or liquid substance. We are probably more interested in the barrel that is mentioned with the concept of Oil.

How many decimeters are in one meter?

To measure the amount of oil, there is a special measure - Oil Barrel. It is equal to 158.988 ≈ 159 liters.

How many kg of water in a cube? — Answer: the amount of kilograms of water depends on the atmospheric pressure. Therefore, it is customary to measure such quantities at Normal atmospheric pressure of 101,325 Pa in accordance with international standards. For water, it is also necessary to take into account the fact of its maximum density, at which more molecules can fit in a volume of 1 cube. So, at a temperature of 3.98 ° C, the density of H2O is maximum. Under such conditions, 1000 kg of H2O would fit in a cubic meter.

How many liters in a gallon? — Answer: There are several quantities called Gallon. The most popular value is 1 US gallon, which is equal to ≈ 3.78 liters.

How many buckets of water in a cubic meter? — Answer: buckets are different. Find out the volume of your bucket, read this article and you will understand what you need to divide by what to find out the number of your buckets.

How much water for one maggi cube? — Answer: Is this a joke or you went off topic. Read the instructions for the maggi, it should be written there.

And what is the amount of gas in 1 m³? — Answer: all the same 1000 liters. It doesn’t matter what substance: air, propane, methane, gasoline, concrete, or something else…

And how to calculate in kg how many potatoes will be in 1 m³? — Answer: Take a 10 liter bucket, fill it with potatoes, put it on the scales and determine the number of kilograms. Multiply the result by 100. Get the number of kilograms of potatoes ≈ in 1 m³.

What is the displacement in 1 dal? - Answer: There is such a unit of measure Dal or Dekaliter, which is used mainly in winemaking. It is equal to 10 liters.

How much air is in 1 bar? — Answer: The question is not correct. 1 bar is a pressure measurement, not a quantity measurement.

How many m3 will be in 120 liters of water? - Answer: You need to divide the number of liters by 1000, you get the result in m³. In your case, 120 l = 0.12 m³. To all other users with a different amount of liquid, use this example.

In 2015 I will present you a couple of examples of problem solving on our topic and this will make it easier to understand the calculations and the conversion of quantities.

Now I will present you, as an addition, an interesting article about how many people can live without water and fantastic cases in the history of mankind that really took place.

Read about how long a person can do without water -tyts

It's no secret to anyone how difficult economic conditions We all turned up. It's time to think about saving resources. And since the topic of our article is a measure of water measurement, it will be time to show you a way to really save 70 percent of the amount that you used to spend in times of economic prosperity without looking back. So let's watch the video.

Thank you all for your attention!

Alla Kyun good!

Hash: a6ce8e40a9a6ce8e40a9

How to calculate 1 running meter of linoleum

To find out how much square meters linoleum contained in one running meter(hereinafter p / m or p. m.), it is necessary to measure its width. Quantity sq. m., contained in one p / m of linoleum, is equal to its width.

The figures show samples of one p / m linoleum one meter long and 3, 2 and 1 meter wide.

1 p/m 1 p/m 1 p/m

So, the consumption of linoleum is 4 running meters. However, more linoleum may be required, depending on which pattern. And moreover, linoleum is deformed in rolls - it is difficult to measure it.

Linoleum is produced 4 m wide.

Calculate the consumption of linoleum, whose width is 4 m.

To calculate the consumption of linoleum, you need 12 sq.m. divide by 4 m. (12/4=3)

The previous two examples are simple - width floor covering matches the length of the floor or its width. Consider a more complex example where the width of the floor covering does not match the length or width of the floor.

Let's assume the room parameters remain the same.
Let the linoleum have a width of 1.6 m (for clarity).

How many meters are in a decimetre?

Then one p / m of this flooring is 1.6 sq.m.

calculation: 12 sq.m. /1.6 sq.m. = 7.5 p.m.

However, in order not to cover the floor in small pieces, it is necessary to take into account the width and length of the floor, so it is better to buy 8 p / m of coverage (possibly more, given the location of the pattern).

1.6 m

The consumption of linoleum is 2 sheets of 4 p / m. However, it is preferable to cover the floor with whole canvases.

This is exactly how the consumption of wallpaper, carpet and other carpet products is calculated.

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1 meter [m] = 10 decimeter [dm]

Initial value

Converted value

meter exameter petameter terameter gigameter megameter kilometer hectometer decameter decimeter centimeter millimeter micrometer micron nanometer picometer femtometer attometer megaparsec kiloparsec parsec light year astronomical unit (international) mile (statute) mile (US, geodetic) mile (Roman) 1000 yards furlong furlong (US, geodetic) chain chain (US, geodetic) rope (eng. rope) genus genus (US, geodetic) perch field (eng. . pole) fathom fathom (US, geodetic) cubit yard foot foot (US, geodetic) link link (US, geodetic) cubit (Brit.) hand span finger nail inch inch (US, geodetic) barleycorn (eng. barleycorn) thousandth of a microinch angstrom atomic unit of length x-unit fermi arpan ration typographic point twip cubit (Swedish) fathom (Swedish) caliber centiinch ken arshin actus (O.R.) vara de tarea vara conuquera vara castellana cubit (Greek) long reed reed long cubit palm "finger" Planck length classical electron radius Bohr radius equatorial radius of the Earth polar radius of the Earth distance from the Earth to the Sun radius of the Sun light nanosecond light microsecond light millisecond light second light hour light day light week Billion light years Distance from Earth to the Moon cables (international) cable (British) cable (US) nautical mile (US) light minute rack unit horizontal pitch cicero pixel line inch (Russian) vershok span foot fathom oblique fathom verst boundary verst

Converter feet and inches to meters and vice versa

foot inch

The Science of Coffee Making: Pressure

More about length and distance

General information

Length is the largest measurement of the body. In three dimensions, length is usually measured horizontally.

Distance is a measure of how far two bodies are from each other.

Distance and length measurement

Distance and length units

In the SI system, length is measured in meters. Derived quantities such as kilometer (1000 meters) and centimeter (1/100 meter) are also widely used in the metric system. In countries that do not use the metric system, such as the US and the UK, units such as inches, feet, and miles are used.

Distance in physics and biology

In biology and physics, lengths are often measured much less than one millimeter. For this, a special value, a micrometer, has been adopted. One micrometer is equal to 1×10⁻⁶ meters. In biology, micrometers measure the size of microorganisms and cells, and in physics, the length of infrared electromagnetic radiation. A micrometer is also called a micron and sometimes, especially in English literature, is denoted by the Greek letter µ. Other derivatives of the meter are also widely used: nanometers (1×10⁻⁹ meters), picometers (1×10⁻¹² meters), femtometers (1×10⁻¹⁵ meters), and attometers (1×10⁻¹⁸ meters).

Distance in navigation

Shipping uses nautical miles. One nautical mile is equal to 1852 meters. Initially, it was measured as an arc of one minute along the meridian, that is, 1/(60 × 180) of the meridian. This made latitude calculations easier, since 60 nautical miles equaled one degree of latitude. When distance is measured in nautical miles, speed is often measured in nautical knots. One knot is equal to one nautical mile per hour.

distance in astronomy

In astronomy, long distances are measured, so special quantities are adopted to facilitate calculations.

astronomical unit(au, au) is equal to 149,597,870,700 meters. The value of one astronomical unit is a constant, that is, a constant value. It is generally accepted that the Earth is located at a distance of one astronomical unit from the Sun.

Light year equals 10,000,000,000,000 or 10¹³ kilometers. This is the distance that light travels in a vacuum in one Julian year. This value is used in popular science literature more often than in physics and astronomy.

Parsec approximately equal to 30,856,775,814,671,900 meters or approximately 3.09 × 10¹³ kilometers. One parsec is the distance from the Sun to another astronomical object, such as a planet, star, moon, or asteroid, with an angle of one arcsecond. One arc second is 1/3600 of a degree, or about 4.8481368 mrad in radians. Parsec can be calculated using parallax - the effect of a visible change in the position of the body, depending on the point of observation. During measurements, a segment E1A2 (in the illustration) is laid from the Earth (point E1) to a star or other astronomical object (point A2). Six months later, when the Sun is on the other side of the Earth, a new segment E2A1 is drawn from the new position of the Earth (point E2) to the new position in space of the same astronomical object (point A1). In this case, the Sun will be at the intersection of these two segments, at point S. The length of each of the segments E1S and E2S is equal to one astronomical unit. If we postpone the segment through the point S, perpendicular to E1E2, it will pass through the intersection point of the segments E1A2 and E2A1, I. The distance from the Sun to point I is the SI segment, it is equal to one parsec when the angle between the segments A1I and A2I is two arcseconds.

On the image:

A1, A2: apparent star position
E1, E2: Earth position
S: position of the sun
I: point of intersection
IS = 1 parsec
∠P or ∠XIA2: parallax angle
∠P = 1 arc second

Other units

League- an obsolete unit of length used earlier in many countries. It is still used in some places, such as the Yucatan Peninsula and rural areas of Mexico. This is the distance a person walks in an hour. Marine League - three nautical miles, approximately 5.6 kilometers. Lie - a unit approximately equal to the league. IN English language both leagues and leagues are called the same, league. In literature, the league is sometimes found in the title of books, such as "20,000 Leagues Under the Sea" - the famous novel by Jules Verne.

Elbow- an old value equal to the distance from the tip of the middle finger to the elbow. This value was widespread in the ancient world, in the Middle Ages, and until modern times.

Yard used in the British imperial system and is equal to three feet or 0.9144 meters. In some countries, such as Canada, where the metric system is adopted, yards are used to measure the fabric and length of swimming pools and sports fields and grounds, such as golf and football courses.

Meter Definition

The definition of the meter has changed several times. The meter was originally defined as 1/10,000,000 of the distance from the North Pole to the equator. Later, the meter was equal to the length of the platinum-iridium standard. Later, the meter was equated to the wavelength of the orange line of the electromagnetic spectrum of the krypton atom ⁸⁶Kr in vacuum, multiplied by 1,650,763.73. Today, a meter is defined as the distance traveled by light in a vacuum in 1/299,792,458 of a second.

Computing

In geometry, the distance between two points, A and B, with coordinates A(x₁, y₁) and B(x₂, y₂) is calculated by the formula:

and within a few minutes you will receive an answer.

Calculations for converting units in the converter " Length and distance converter' are performed using the functions of unitconversion.org .

Today we will analyze what units of length are used in measurements.

centimeter and millimeter

But first, let's look at the main tool used by schoolchildren - ruler.

Look at the picture. The minimum price of division of the line - millimeter. Designated: mm. The centimeter is indicated by large divisions. There are 10 millimeters in one centimeter.

The centimeter is divided in half, five millimeters each, by a smaller division. Centimeter referred to as: see

To measure a segment, the ruler is attached with a zero division to the beginning of the measured segment, as shown in the figure. The division at which the segment ends is the length of this segment. The length of the segment in the figure is 5 cm or 50 mm.

The following figure shows a 5 cm 6 mm, or 56 mm, length.

Let's look at a few examples of converting different units of length:

For example, we need to convert 1 m 30 cm to centimeters. We know that 1 meter is 100 centimeters. It turns out:

100cm + 30cm = 130cm

For the reverse translation, we separate a hundred centimeters - this is 1m and another 30 cm remains. Answer: 1m 30cm.

If we want to express centimeters in millimeters, remember that 1 centimeter is 10 millimeters.

For example, let's convert 28 cm to millimeters: 28 × 10 = 280

So in 28 cm - 280 mm.

Meter

The basic unit of length is meter. The remaining units of measurement are formed from the meter using Latin prefixes. For example, in the word centimeter The Latin prefix centi means one hundred, which means there are one hundred centimeters in one meter. In the word millimeter - the prefix milli - thousand, which means that there are a thousand millimeters in one meter.

Ten centimeters is 1 decimeter. Designated: dm. There are 10 decimeters in 1 meter

Expressed in centimeters:

1 dm = 10 cm

4 dm = 40 cm

3 dm 4 cm = 30 cm + 4 cm = 34 cm

1 m 2 dm 5 cm = 100 cm + 20 cm + 5 cm = 125 cm

Now let's express it in decimeters:

1 m = 10 dm

4 m 8 dm = 48 dm

20 cm = 2 dm

So many different types measurements and how to compare the length of different segments, if the first segment is 5 cm long 10 mm, and the second 10 dm. In our problem, the main rule for comparing quantities will help to understand:

To compare measurement results, you need to express them in the same units of measurement.

So, let's translate the length of our segments into centimeters:

5 cm 10 mm = 51 cm

10 dm = 100 cm

51 cm< 100 см

So the second segment is longer than the first.

Kilometer

Long distances are measured in kilometers. IN 1 kilometer - 1000 meters. Word kilometer formed using the Greek prefix kilo - 1000.

Let's express kilometers in meters:

3 km = 3000 m

23 km = 23000 m

And back:

2400 m = 2 km 400 m

7650 m = 7 km 650 m

So, let's bring all the units of measurement into one table:

Simply put, these are vegetables cooked in water according to a special recipe. I will consider two initial components (vegetable salad and water) and the finished result - borscht. Geometrically, this can be represented as a rectangle in which one side denotes lettuce, the other side denotes water. The sum of these two sides will denote borscht. The diagonal and area of such a "borscht" rectangle are purely mathematical concepts and are never used in borscht recipes.

How do lettuce and water turn into borscht in terms of mathematics? How can the sum of two segments turn into trigonometry? To understand this, we need linear angle functions.

You won't find anything about linear angle functions in math textbooks. But without them there can be no mathematics. The laws of mathematics, like the laws of nature, work whether we know they exist or not.

Linear angular functions are the laws of addition. See how algebra turns into geometry and geometry turns into trigonometry.

Is it possible to do without linear angular functions? You can, because mathematicians still manage without them. The trick of mathematicians lies in the fact that they always tell us only about those problems that they themselves can solve, and never tell us about those problems that they cannot solve. See. If we know the result of the addition and one term, we use subtraction to find the other term. All. We do not know other problems and we are not able to solve them. What to do if we know only the result of the addition and do not know both terms? In this case, the result of addition must be decomposed into two terms using linear angular functions. Further, we ourselves choose what one term can be, and the linear angular functions show what the second term should be in order for the result of the addition to be exactly what we need. There can be an infinite number of such pairs of terms. IN Everyday life we do very well without decomposing the sum, subtracting is enough for us. But in scientific studies of the laws of nature, the expansion of the sum into terms can be very useful.

Another law of addition that mathematicians don't like to talk about (another trick of theirs) requires the terms to have the same unit of measure. For lettuce, water, and borscht, these may be units of weight, volume, cost, or unit of measure.

The figure shows two levels of difference for math. The first level is the differences in the field of numbers, which are indicated a, b, c. This is what mathematicians do. The second level is the differences in the area of units of measurement, which are shown in square brackets and are indicated by the letter U. This is what physicists do. We can understand the third level - the differences in the scope of the described objects. Different objects can have the same number of the same units of measure. How important this is, we can see on the example of borscht trigonometry. If we add subscripts to the same notation for the units of measurement of different objects, we can say exactly what mathematical quantity describes a particular object and how it changes over time or in connection with our actions. letter W I will mark the water with the letter S I will mark the salad with the letter B- borsch. Here's what the linear angle functions for borscht would look like.

If we take some part of the water and some part of the salad, together they will turn into one serving of borscht. Here I suggest you take a little break from borscht and remember your distant childhood. Remember how we were taught to put bunnies and ducks together? It was necessary to find how many animals will turn out. What then were we taught to do? We were taught to separate units from numbers and add numbers. Yes, any number can be added to any other number. This is a direct path to the autism of modern mathematics - we do not understand what, it is not clear why, and we understand very poorly how this relates to reality, because of the three levels of difference, mathematicians operate on only one. It will be more correct to learn how to move from one unit of measurement to another.

And bunnies, and ducks, and little animals can be counted in pieces. One common unit of measurement for different objects allows us to add them together. This children's version tasks. Let's look at a similar problem for adults. What do you get when you add bunnies and money? There are two possible solutions here.

First option. We determine the market value of the bunnies and add it to the available cash. We got the total value of our wealth in terms of money.

Second option. You can add the number of bunnies to the number of banknotes we have. We will get the amount of movable property in pieces.

As you can see, the same addition law allows you to get different results. It all depends on what exactly we want to know.

But back to our borscht. Now we can see what happens when different meanings angle of linear angular functions.

The angle is zero. We have salad but no water. We can't cook borscht. The amount of borscht is also zero. This does not mean at all that zero borscht is equal to zero water. Zero borsch can also be at zero salad (right angle).

For me personally, this is the main mathematical proof of the fact that . Zero does not change the number when added. This is because addition itself is impossible if there is only one term and the second term is missing. You can relate to this as you like, but remember - all mathematical operations with zero were invented by mathematicians themselves, so discard your logic and stupidly cram the definitions invented by mathematicians: "division by zero is impossible", "any number multiplied by zero equals zero" , "behind the point zero" and other nonsense. It is enough to remember once that zero is not a number, and you will never have a question whether zero is a natural number or not, because such a question generally loses all meaning: how can one consider a number that which is not a number. It's like asking what color to attribute an invisible color to. Adding zero to a number is like painting with paint that doesn't exist. They waved a dry brush and tell everyone that "we have painted." But I digress a little.

The angle is greater than zero but less than forty-five degrees. We have a lot of lettuce, but little water. As a result, we get a thick borscht.

The angle is forty-five degrees. We have equal amounts of water and lettuce. This is the perfect borscht (may the cooks forgive me, it's just math).

The angle is greater than forty-five degrees but less than ninety degrees. We have a lot of water and little lettuce. Get liquid borscht.

Right angle. We have water. Only memories remain of the lettuce, as we continue to measure the angle from the line that once marked the lettuce. We can't cook borscht. The amount of borscht is zero. In that case, hold on and drink water while it's available)))

Here. Something like this. I can tell other stories here that will be more than appropriate here.

The two friends had their shares in the common business. After the murder of one of them, everything went to the other.

The emergence of mathematics on our planet.

All these stories are told in the language of mathematics using linear angular functions. Some other time I will show you the real place of these functions in the structure of mathematics. In the meantime, let's return to the trigonometry of borscht and consider projections.

Saturday, October 26, 2019

Wednesday, August 7, 2019

Concluding the conversation about , we need to consider an infinite set. Gave in that the concept of "infinity" acts on mathematicians, like a boa constrictor on a rabbit. The quivering horror of infinity deprives mathematicians of common sense. Here is an example:

The original source is located. Alpha denotes a real number. The equal sign in the above expressions indicates that if you add a number or infinity to infinity, nothing will change, the result will be the same infinity. If we take an infinite set of natural numbers as an example, then the considered examples can be represented as follows:

To visually prove their case, mathematicians have come up with many different methods. Personally, I look at all these methods as the dances of shamans with tambourines. In essence, they all come down to the fact that either some of the rooms are not occupied and new guests are settled in them, or that some of the visitors are thrown out into the corridor to make room for the guests (very humanly). I presented my view on such decisions in the form of a fantastic story about the Blonde. What is my reasoning based on? Moving an infinite number of visitors takes an infinite amount of time. After we have vacated the first guest room, one of the visitors will always walk along the corridor from his room to the next one until the end of time. Of course, the time factor can be stupidly ignored, but this will already be from the category of "the law is not written for fools." It all depends on what we are doing: adjusting reality to mathematical theories or vice versa.

What is an "infinite hotel"? An infinity inn is an inn that always has any number of vacancies, no matter how many rooms are occupied. If all the rooms in the endless hallway "for visitors" are occupied, there is another endless hallway with rooms for "guests". There will be an infinite number of such corridors. At the same time, the "infinite hotel" has an infinite number of floors in an infinite number of buildings on an infinite number of planets in an infinite number of universes created by an infinite number of Gods. Mathematicians, on the other hand, are not able to move away from banal everyday problems: God-Allah-Buddha is always only one, the hotel is one, the corridor is only one. So mathematicians are trying to juggle the serial numbers of hotel rooms, convincing us that it is possible to "shove the unpushed".

I will demonstrate the logic of my reasoning to you using the example of an infinite set of natural numbers. First you need to answer a very simple question: how many sets of natural numbers exist - one or many? There is no correct answer to this question, since we ourselves invented numbers, there are no numbers in Nature. Yes, Nature knows how to count perfectly, but for this she uses other mathematical tools that are not familiar to us. As Nature thinks, I will tell you another time. Since we invented the numbers, we ourselves will decide how many sets of natural numbers exist. Consider both options, as befits a real scientist.

Option one. "Let us be given" a single set of natural numbers, which lies serenely on a shelf. We take this set from the shelf. That's it, there are no other natural numbers left on the shelf and there is nowhere to take them. We cannot add one to this set, since we already have it. What if you really want to? No problem. We can take a unit from the set we have already taken and return it to the shelf. After that, we can take a unit from the shelf and add it to what we have left. As a result, we again get an infinite set of natural numbers. You can write all our manipulations like this:

I have written down the operations in algebraic notation and in set theory notation, listing the elements of the set in detail. The subscript indicates that we have one and only set of natural numbers. It turns out that the set of natural numbers will remain unchanged only if one is subtracted from it and the same one is added.

Option two. We have many different infinite sets of natural numbers on the shelf. I emphasize - DIFFERENT, despite the fact that they are practically indistinguishable. We take one of these sets. Then we take one from another set of natural numbers and add it to the set we have already taken. We can even add two sets of natural numbers. Here's what we get:

The subscripts "one" and "two" indicate that these elements belonged to different sets. Yes, if you add one to an infinite set, the result will also be an infinite set, but it will not be the same as the original set. If another infinite set is added to one infinite set, the result is a new infinite set consisting of the elements of the first two sets.

The set of natural numbers is used for counting in the same way as a ruler for measurements. Now imagine that you have added one centimeter to the ruler. This will already be a different line, not equal to the original.

You can accept or not accept my reasoning - this is your own business. But if you ever run into mathematical problems, consider whether you are on the path of false reasoning, trodden by generations of mathematicians. After all, mathematics classes, first of all, form a stable stereotype of thinking in us, and only then they add to us mental capacity(or vice versa, deprive us of free thought).

pozg.ru

Sunday, August 4, 2019

I was writing a postscript to an article about and saw this wonderful text on Wikipedia:

We read: "... the rich theoretical basis of the mathematics of Babylon did not have a holistic character and was reduced to a set of disparate techniques, devoid of a common system and evidence base."

Wow! How smart we are and how well we can see the shortcomings of others. Is it weak for us to look at modern mathematics in the same context? Slightly paraphrasing the above text, personally I got the following:

The rich theoretical basis of modern mathematics does not have a holistic character and is reduced to a set of disparate sections, devoid of a common system and evidence base.

I won’t go far to confirm my words - it has a language and symbols that are different from the language and symbols many other branches of mathematics. The same names in different branches of mathematics can have different meanings. I want to devote a whole cycle of publications to the most obvious blunders of modern mathematics. See you soon.

Saturday, August 3, 2019

How to divide a set into subsets? To do this, you must enter a new unit of measure, which is present in some of the elements of the selected set. Consider an example.

May we have many A consisting of four people. This set is formed on the basis of "people" Let's designate the elements of this set through the letter A, the subscript with a number will indicate the ordinal number of each person in this set. Let's introduce a new unit of measurement "sexual characteristic" and denote it by the letter b. Since sexual characteristics are inherent in all people, we multiply each element of the set A on gender b. Notice that our "people" set has now become the "people with gender" set. After that, we can divide the sexual characteristics into male bm and women's bw gender characteristics. Now we can apply a mathematical filter: we select one of these sexual characteristics, it does not matter which one is male or female. If it is present in a person, then we multiply it by one, if there is no such sign, we multiply it by zero. And then we apply the usual school mathematics. See what happened.

After multiplication, reductions and rearrangements, we got two subsets: the male subset bm and a subset of women bw. Approximately the same way mathematicians reason when they apply set theory in practice. But they do not let us in on the details, but give us the finished result - "a lot of people consists of a subset of men and a subset of women." Naturally, you may have a question, how correctly applied mathematics in the above transformations? I dare to assure you that in fact the transformations are done correctly, it is enough to know the mathematical justification of arithmetic, Boolean algebra and other sections of mathematics. What it is? Some other time I will tell you about it.

As for supersets, it is possible to combine two sets into one superset by choosing a unit of measurement that is present in the elements of these two sets.

As you can see, units of measurement and common math make set theory a thing of the past. A sign that all is not well with set theory is that mathematicians have come up with their own language and notation for set theory. The mathematicians did what the shamans once did. Only shamans know how to "correctly" apply their "knowledge". This "knowledge" they teach us.

Finally, I want to show you how mathematicians manipulate .

Monday, January 7, 2019

In the fifth century BC, the ancient Greek philosopher Zeno of Elea formulated his famous aporias, the most famous of which is the aporia "Achilles and the tortoise". Here's how it sounds:

Let's say Achilles runs ten times faster than the tortoise and is a thousand paces behind it. During the time during which Achilles runs this distance, the tortoise crawls a hundred steps in the same direction. When Achilles has run a hundred steps, the tortoise will crawl another ten steps, and so on. The process will continue indefinitely, Achilles will never catch up with the tortoise.

This reasoning became a logical shock for all subsequent generations. Aristotle, Diogenes, Kant, Hegel, Gilbert... All of them, in one way or another, considered Zeno's aporias. The shock was so strong that " ... discussions continue at the present time, the scientific community has not yet managed to come to a common opinion about the essence of paradoxes ... mathematical analysis, set theory, new physical and philosophical approaches were involved in the study of the issue; none of them became a universally accepted solution to the problem ..."[Wikipedia," Zeno's Aporias "]. Everyone understands that they are being fooled, but no one understands what the deception is.

From the point of view of mathematics, Zeno in his aporia clearly demonstrated the transition from the value to. This transition implies applying instead of constants. As far as I understand, the mathematical apparatus for applying variable units of measurement has either not yet been developed, or it has not been applied to Zeno's aporia. The application of our usual logic leads us into a trap. We, by the inertia of thinking, apply constant units of time to the reciprocal. From a physical point of view, it looks like time slowing down to a complete stop at the moment when Achilles catches up with the tortoise. If time stops, Achilles can no longer overtake the tortoise.

If we turn the logic we are used to, everything falls into place. Achilles runs at a constant speed. Each subsequent segment of its path is ten times shorter than the previous one. Accordingly, the time spent on overcoming it is ten times less than the previous one. If we apply the concept of "infinity" in this situation, then it would be correct to say "Achilles will infinitely quickly overtake the tortoise."

How to avoid this logical trap? Remain in constant units of time and do not switch to reciprocal values. In Zeno's language, it looks like this:

In the time it takes Achilles to run a thousand steps, the tortoise crawls a hundred steps in the same direction. During the next time interval, equal to the first, Achilles will run another thousand steps, and the tortoise will crawl one hundred steps. Now Achilles is eight hundred paces ahead of the tortoise.

This approach adequately describes reality without any logical paradoxes. But this is not a complete solution to the problem. Einstein's statement about the insurmountability of the speed of light is very similar to Zeno's aporia "Achilles and the tortoise". We have yet to study, rethink and solve this problem. And the solution must be sought not in infinitely large numbers, but in units of measurement.

Another interesting aporia of Zeno tells of a flying arrow:

A flying arrow is motionless, since at each moment of time it is at rest, and since it is at rest at every moment of time, it is always at rest.

In this aporia, the logical paradox is overcome very simply - it is enough to clarify that at each moment of time the flying arrow is at rest at different points in space, which, in fact, is movement. There is another point to be noted here. From one photograph of a car on the road, it is impossible to determine either the fact of its movement or the distance to it. To determine the fact of the movement of the car, two photographs taken from the same point at different points in time are needed, but they cannot be used to determine the distance. To determine the distance to the car, you need two photographs taken from different points in space at the same time, but you cannot determine the fact of movement from them (naturally, you still need additional data for calculations, trigonometry will help you). What I want to point out in particular is that two points in time and two points in space are two different things that should not be confused as they provide different opportunities for exploration.
I will show the process with an example. We select "red solid in a pimple" - this is our "whole". At the same time, we see that these things are with a bow, and there are without a bow. After that, we select a part of the "whole" and form a set "with a bow". This is how shamans feed themselves by tying their set theory to reality.

Now let's do a little trick. Let's take "solid in a pimple with a bow" and unite these "whole" by color, selecting red elements. We got a lot of "red". Now a tricky question: are the received sets "with a bow" and "red" the same set or two different sets? Only shamans know the answer. More precisely, they themselves do not know anything, but as they say, so be it.

This simple example shows that set theory is completely useless when it comes to reality. What's the secret? We formed a set of "red solid pimply with a bow". The formation took place according to four different units of measurement: color (red), strength (solid), roughness (in a pimple), decorations (with a bow). Only a set of units of measurement makes it possible to adequately describe real objects in the language of mathematics. Here's what it looks like.

The letter "a" with different indices denotes different units of measurement. In parentheses, units of measurement are highlighted, according to which the "whole" is allocated at the preliminary stage. The unit of measurement, according to which the set is formed, is taken out of brackets. The last line shows the final result - an element of the set. As you can see, if we use units to form a set, then the result does not depend on the order of our actions. And this is mathematics, and not the dances of shamans with tambourines. Shamans can “intuitively” come to the same result, arguing it with “obviousness”, because units of measurement are not included in their “scientific” arsenal.

With the help of units of measurement, it is very easy to break one or combine several sets into one superset. Let's take a closer look at the algebra of this process.

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