What is a dimension? What does dimension mean?

Let's start by clearly defining dimensions. ** And the dimension in the movie usually refers to such a parallel universe, an independent space like our world, with a different set of operating rules, where people can have superpowers. These kinds of stories are interesting, parallel worlds may really exist, but that's not what scientists mean when they say dimensions.

The dimensions that scientists call are not some parallel world of chocolate that can be paid for with marshmallows. In the field of physics and mathematics, dimension refers to the direction of motion. If you take a line, then the motion along that line is called one-dimensional motion.

In a one-dimensional world, all living things live in an infinitely long line. Because there are no other sports options to enjoy, 1D scientists can never jump in line or swap places with each other.

"Dimension" is a kind of measurement, on the three-dimensional spatial coordinates, plus time, space-time is interconnected, it constitutes four-dimensional space-time. Now the theory of scientists believes that the entire universe is 11 dimensions, but human understanding can only understand 3 dimensions, to use an analogy: an intelligent creature lives around us, but can only understand two dimensions, then it is in a two-dimensional world?

But around them, we clearly think that they are three-dimensional, that both sides are intelligent beings, who is right and who is wrong??

V: There is no length, width or height, just a point, such as a singularity.

One-dimensional. Only the length.

Two-dimensional. Flat world.

Only length and width. Three-dimensional.

Length, width and height. Three-dimensional world.

We see the world with our own eyes.

Three-dimensional space is the space where the position of a point is determined by three coordinates. The objectively existing real space is three-dimensional space, with three measures: length, width, and height. The concept of multi-dimensional space introduced in mathematics, physics and other disciplines is a scientific abstraction based on three-dimensional space.

Four-dimensional. A concept of space-time.

Most of the references to "four-dimensional space" in everyday life refer to the concept of "four-dimensional space-time" mentioned by Albert Einstein in his "General Theory of Relativity" and "Special Theory of Relativity". Our universe is made up of time and space. The relationship between time and space is that a time axis is added to the structure of space compared with the three axes of length, width and height of ordinary three-dimensional space, and this time axis is an axis of imaginary values.

According to Albert Einstein's theory of relativity, the three-dimensional space we face in our lives plus time constitutes the so-called four-dimensional space.

One dimension is a line, two dimensions are a surface, three dimensions are static space, and four dimensions are dynamic space (because of time).

When we describe a changing event in physics.

The parameters must be changed. This parameter is called a dimension. A few parameters are just a few dimensions. For example, to describe the position of a "door", only the angle is required, so it is one-dimensional.

And not two-dimensional.

To put it simply: 0 dimensions are points, without length, width, or height. One dimension is a line made up of countless points, only length, no width or height.

A two-dimensional is a surface made up of countless lines, with length, width, and height. A three-dimensional body is a body composed of countless faces, with length, width and height. Dimension can be understood as direction.

Because the human eye can only see three dimensions, it is difficult to interpret more than three dimensions. Just as a person with normal intelligence is born without one eye and one ear (how sad. So that there is no binocular effect, binaural effect), it will be difficult for him to understand distance, and he will probably think that the world is two-dimensional.

To put it simply: n-dimension is the space formed by two perpendicular pairs of n straight lines.

Because, humans can only understand 3 dimensions, so the later dimensions can be constructed by mathematical theories, but it is difficult to understand them carefully. In quantum mechanics, the membrane theory, which is still being established, holds that the universe is 11 dimensions.

Dimension, also known as dimensionality, is the number of independent parameters in mathematics.

In the realm of physics and philosophy, it refers to the number of independent space-time coordinates.

Dimension 0 is an infinitesimal point with no length. 1 dimension is an infinitely long straight line with only length. 2D is a plane that is made up of an area made up of length and width (or part of a curve).

3 dimensions is 2 dimensions plus height to make up the volume. The 4 dimensions are divided into 4 dimensions in time and space, and people usually refer to the transfer of objects in time.

Fractional DimensionIn the 19th century, mathematicians discovered fractals, which created a new dimension, the "fractional dimension". As a result, people realize that dimensions are not just integers, but can also be fractions and even irrational numbers.

Professor Stephen Hawking, a famous British physicist, has this explanation: this is like a hair, which looks like a one-dimensional line from a distance, but under a magnifying glass, it is indeed three-dimensional; If you are faced with time and space, if you have a magnifying glass with a high enough magnification, you should be able to reveal other possible 4-dimensional and 5-dimensional spaces, and even 11-dimensional spaces.

Dimension is a concept that measures space, for example, what we can see and experience now is a 4-dimensional space, length, width, height, and time.

Interestingly, the spatial dimension is not only 4 dimensions, that is, there are high-dimensional spaces, such as quarks and electrons, the basic units of matter, which move in a high-dimensional space (see Superstring Theory for details). We are not yet able to detect this high-dimensional movement in space. According to quantum theory, the space around us is actually discontinuous, but one by one, and it cannot be measured by scales at about 3 5 centimeters.

Therefore, space travel is not an impossible thing for us. To give a simple theory, a two-dimensional creature, we want to trap him in one place, we only need to draw a circle in the plane where he is, then he can't escape, but standing in a three-dimensional space, we only need to pull lightly on the height, we can help the two-dimensional creature escape. By analogy, even if we humans living in a four-dimensional space are trapped in an iron cage, it can be said that it is easy for creatures in high-dimensional space to escape.

The dimension that answers a person, also known as dimensionality, is the number of independent parameters in mathematics. In the realm of physics and philosophy, it refers to the number of independent space-time coordinates. Dimension 0 is an infinitesimal point with no length. 1 dimension is an infinitely long line with only length.

Broadly speaking, dimension is the number of "connected" abstract concepts of things, and "connected" abstract concepts refer to abstract concepts that are connected by multiple abstract concepts, and are related to any abstract concept that composes it, and the number of abstract concepts that make up it is the dimension of its change, such as area. This concept is based on the idea that everything is relatively related.

Hope it helps.

Also known as dimensionality, it is the number of independent parameters in mathematics. In the realm of physics and philosophy, it refers to the number of independent space-time coordinates. Dimension 0 is a point and has no length.

1 dimension is the line, only the length. Dimension 2 is a plane that is made up of length and width (or curve) to form an area. 3 dimensions is 2 dimensions plus height to form a volume surface.

A pathway that connects two spaces of the same kind.

What is a dimension? Do you understand?

Answer: Hello, according to your question, the information queried by the respondent is: the dimension is used to describe the facts, and he describes the facts from different angles, that is to say, the dimension is the angle from which the facts are described.

When we describe the facts, then it is the time dimension.

For example, if we describe when the item was sold, that's the time dimension.

For example, if we describe where the item was sold, that's the geographical dimension.

For example, if we describe who bought the product, that is the people dimension.

And so on and so forth.

The definition of fact in the book "The Data Warehouse Toolbox" is:

Facts involve measures from business processes, which are basically expressed in quantitative values. There is a one-to-one relationship between a fact table row and a granularity.

For example, the clock-in time table (working time, overtime time), the working time can be split into sign-in time, and the sign-out time forms a dimension table, overtime time is a value, and the extra hours of work is a measure.

To put it simply, a business in a business process is a set of metrics, which contains metrics and connects dimensions according to the division of granularity.

The fact table divides numeric metrics into three categories based on flexibility and use:

Any dimension that can be associated with a fact table summarizes additable facts.

It is a semi-additive fact that can manipulate some dimensions, but not all dimensions.

It is not a fact that it is a measure after the operation (proportion, proportion, etc.) in itself.

The occurrence of additive facts should be addressed in the design, and semi-additive facts should be used to describe non-additive facts as much as possible.

A metric metric is a numeric value on a business process node. Such as sales, **, cost, and so on.

Granularity is the unit of measurement in a business process, such as whether an item is measured by a piece record or by a batch record.

Summary: Dimensions are the perspective from which we describe facts.

The truth is a collection of measures in a business.

A measure is a numerical value generated in a business.

Granularity is a unit of measurement.

An inclusion of the meaning of "attributes, scope, coefficients, affordability". Refers to different meanings in different objects.

Dimensions, also known as dimensions, are the number of independent parameters in mathematics. In the realm of physics and philosophy, it refers to the number of independent space-time coordinates.

Broadly speaking, dimensions are things"There is a connection"The number of abstract concepts....

From a philosophical point of view, people observe, think, and express something"Thinking perspective", abbreviation"Dimensions"。

Dimensions mean:

1. Philosophical implications;

The "thinking angle" from which people observe, think, and express something is referred to as "dimension". For example, when people observe and think about the "moon", they can describe it from the three perspectives of "content, time, and space" of the moon. It can also be described from the three perspectives of "carrier, energy, and information" of the moon. Zen Tell Mountain.

2. Mathematical meaning:

is the number of independent parameters in mathematics, also known as dimensionality.

3. Implications of Physics and Philosophy:

Refers to the number of independent space-time coordinates.

Dimension Description: 1 dimension is an infinitely long line with only length. 2D is a plane made up of length and width (or part of a curve).

3 dimensions is 2 dimensions plus height to make up the volume. Four-dimensional is divided into four dimensions in time and space, and it is often said that four dimensions refers to the transfer of objects on the time line. Four-dimensional space-time refers to three-dimensional space plus one-dimensional time.

Four-dimensional space refers to only four dimensions of space. The four-dimensional movement of the Yunyou rubber produces the five-dimensional. <>