What does mapping mean in virtual currency
Publish: 2021-04-27 00:08:27
1.
Definition of mapping: irradiation; Reflection
mapping: [y] ì ng sh è ]
citation explanation:
1; Irradiation
The second chapter of "spring without flowers" by Biye: "the starlight from the yard reflects into the hall."2. Reflex; Reflection
"It's just the pain of the dying family system, reflected in my heart several times and affected my life," said Qu Qiu in his hungry hometown Ji Cheng IIin mathematics, mapping is a term, which refers to the interaction between two sets of elements; Corresponding to & quot; It is a noun. Mapping has many names in different fields, and their essence is the same. Such as functions, operators and so on. Here we want to show that a function is a mapping between two sets of numbers, and other mappings are not functions
< H2 > extended data:discrimination of similar words:
1 à o sh è ]
explanation: mapping; The light hits the object
In the night of Tongguan, Yang Shuo said, "he is holding a flashlight in his hand and shining around."2 ì ng zh à O]
explanation: light irradiation
Mao Dun's "color blindness" 6: "under the brilliant reflection of the setting sun, he saw all the scenery with the red color of hope."
2. For sets a and B, if every element in B is an image of at least one element in a under the mapping f, then f is said to be a surjective from a to B
for example, a = {1, 2, 3, 4, 5, 6, 7, 8,}
b = {0, 1}
the odd number in mapping f: a corresponds to 0 in B; The even number in a corresponds to 1 in B (as shown in the figure). In this way, every element in B is an image of the element in A. therefore, f is a surjective from a to B
[injective]
let set a and B. Under the mapping (i.e. single value correspondence) f, for different elements in a, there are different images in the set B, then the mapping f is called the injective from a to B
for example, if a = {1,2}, B = {2,4,6}, F: a → 2a, then f is a injective from a to B. This is because: (1) f is a single value correspondence from a to B 2) Different elements in a have different images in B under the corresponding rule F
injectivity is not one-to-one correspondence.
for example, a = {1, 2, 3, 4, 5, 6, 7, 8,}
b = {0, 1}
the odd number in mapping f: a corresponds to 0 in B; The even number in a corresponds to 1 in B (as shown in the figure). In this way, every element in B is an image of the element in A. therefore, f is a surjective from a to B
[injective]
let set a and B. Under the mapping (i.e. single value correspondence) f, for different elements in a, there are different images in the set B, then the mapping f is called the injective from a to B
for example, if a = {1,2}, B = {2,4,6}, F: a → 2a, then f is a injective from a to B. This is because: (1) f is a single value correspondence from a to B 2) Different elements in a have different images in B under the corresponding rule F
injectivity is not one-to-one correspondence.
3. The essence of mapping is to share the folder on the network. Windows can connect you to the shared network folder, and assign a drive letter to the connection, such as y disk. In this way, you can open the Y disk on my computer, so that the shared folder becomes the Y disk of your computer. This is the mapping
mapping can be done by right clicking "start | Network Neighborhood" and selecting "mapping network drive". You can also find the map network drive item in the tools menu in my computer.
mapping can be done by right clicking "start | Network Neighborhood" and selecting "mapping network drive". You can also find the map network drive item in the tools menu in my computer.
4. Mapping
mapping, or projection, is often equivalent to function in mathematics and related fields. Based on this, partial mapping is equivalent to partial function, while complete mapping is equivalent to complete function. Usually, the word "mapping" has the meaning of "irradiation" and is a verb. In mathematics, mapping is a term, which refers to the relationship between two sets of elements; It also refers to the action of "forming corresponding relationship"
basic information
Chinese Name: mapping
English Name: Map
type: academic words
Rules: correspondence rules
Introction
generally, mapping has the meaning of irradiation and is a verb. In mathematics, mapping is a term, which refers to the relationship between two sets of elements; It also refers to the action of "forming corresponding relationship". One of the basic concepts of mathematics is the generalization of the concept of function. Also called mapping
content analysis
L. mapping is a very important concept in modern mathematics, and its idea also permeates the whole middle school mathematics textbook. In fact, putting forward the concept of mapping in senior high school is not only to deepen the understanding of the concept of function, but also to reveal the internal relationship between some different concepts, so as to deepen the understanding of them. For example, the point on the number axis and its coordinates, the closed figure in the plane and its area, the set of permutations and its permutation number in a certain permutation problem, The set of random events and its probability of occurrence are actually a kind of mapping relationship between them. Therefore, from the perspective of mapping, the relationship between different research objects is revealed< In fact, mapping is a special correspondence between two sets, that is, if there is a unique element in set B corresponding to any element in set a according to some correspondence law, then such correspondence (including correspondence law) is called the mapping from set a to set B
diagram
3. In this section, we first talk about the concept of mapping, and then talk about the concept of one-to-one mapping. We know that correspondence includes "one to many", "many to one", "one to one" and so on, while mapping is the unique special correspondence of "image", which includes "many to one", "one to one" and so on, The mapping is not necessarily "surjective". As for one-to-one mapping, it is a special kind of mapping. It should be pointed out that one-to-one mapping has a special significance in mathematics. Many problems are studied through one-to-one mapping to transform and solve them. For example, in plane analytic geometry, geometric problems are transformed into algebraic problems by one-to-one mapping from point to number pairs, and multiplication and division operations are transformed into addition and subtraction operations by one-to-one mapping of "taking logarithm". In this chapter, the concept of one-to-one mapping is also used when introcing inverse function. It can be seen that learning the concept of mapping (especially one-to-one mapping) plays an important role in understanding and mastering the whole content of high school mathematics< The concept of mapping is a difficult point in teaching. In teaching, it is suggested that: (1) grasp the teaching requirements, that is, let students understand the meaning of the concept of mapping, and then use it to understand the concept of function instead of reciting the definition of mapping 2) As the concept of mapping is more abstract, it should be explained with examples 3) In the follow-up study, combined with the relevant content of continuous review, deepen the concept of mapping
for example,
let a and B be two nonempty sets, and f be a rule. If any element X in a corresponds to x according to the rule F, then f is called a mapping from a to B. For example, a = {1,2,3} B = {2,4,6,8,10} if f makes 1 correspond to 2, 2 correspond to 4, and 3 correspond to 6, then f is a mapping from a to B. For another example, a represents the set of all triangles on the plane, B represents the set of all circles on the plane, and f corresponds any triangle to its inscribed circle, then f is also a mapping from a to B. The common notation F: a → B represents the mapping from a to B, and a is called the domain of the mapping. In order to represent the corresponding element Y of element x, it is often written as y = f (x), and Y is called the image of X under the mapping F. The set composed of all the images is a subset of B, which is called range, or image domain
several special mappings
If a mapping from a to B makes any two different elements in a have different images in B, then this mapping is called injective mapping; If a mapping from a to B makes every element in B the image of the element in a, then this mapping is called surjective; A mapping that is both injective and surjective is called bijective. Bijection is also called one-to-one mapping. If a and B are sets of numbers, then f: a → B is a function in the general sense. In modern mathematics, there is no distinction between mapping and function. They are identical concepts
formula
according to the definition of mapping, the following correspondences are all maps< (1) let a = {1,2,3,4} and B = {3,5,7,9}, the element X in set a corresponds to the element 2x + 1 in set B according to the corresponding relation "multiply 2 + 1", which is the mapping from set a to set B< (2) let a = n *, B = {0,1}, the elements in set a correspond to the elements in set B according to the corresponding relation "the remainder of X divided by 2", which is the mapping from set a to set B< (3) let a = {x | X be a triangle}, B = {y | Y & gt; 0}, the element X in set a corresponds to the element in set B according to the corresponding relationship "calculated area", which is the mapping from set a to set B< (4) let a = R, B = {point on line}. According to the method of establishing number axis, the number x in a corresponds to the point P in B, which is the mapping from set a to set B< (5) let a = {P | p be the point in the rectangular coordinate system}, B = {(x, y) | x ∈ R, y ∈ r}. According to the method of establishing the plane rectangular coordinate system, the point P in a corresponds to the ordered real number pair (x, y) in B, which is the mapping from set a to set B[ 2]
feature
mapping describes a special correspondence between two set elements in mathematics
mapping has many names in different fields, they are
mapping, or projection, is often equivalent to function in mathematics and related fields. Based on this, partial mapping is equivalent to partial function, while complete mapping is equivalent to complete function. Usually, the word "mapping" has the meaning of "irradiation" and is a verb. In mathematics, mapping is a term, which refers to the relationship between two sets of elements; It also refers to the action of "forming corresponding relationship"
basic information
Chinese Name: mapping
English Name: Map
type: academic words
Rules: correspondence rules
Introction
generally, mapping has the meaning of irradiation and is a verb. In mathematics, mapping is a term, which refers to the relationship between two sets of elements; It also refers to the action of "forming corresponding relationship". One of the basic concepts of mathematics is the generalization of the concept of function. Also called mapping
content analysis
L. mapping is a very important concept in modern mathematics, and its idea also permeates the whole middle school mathematics textbook. In fact, putting forward the concept of mapping in senior high school is not only to deepen the understanding of the concept of function, but also to reveal the internal relationship between some different concepts, so as to deepen the understanding of them. For example, the point on the number axis and its coordinates, the closed figure in the plane and its area, the set of permutations and its permutation number in a certain permutation problem, The set of random events and its probability of occurrence are actually a kind of mapping relationship between them. Therefore, from the perspective of mapping, the relationship between different research objects is revealed< In fact, mapping is a special correspondence between two sets, that is, if there is a unique element in set B corresponding to any element in set a according to some correspondence law, then such correspondence (including correspondence law) is called the mapping from set a to set B
diagram
3. In this section, we first talk about the concept of mapping, and then talk about the concept of one-to-one mapping. We know that correspondence includes "one to many", "many to one", "one to one" and so on, while mapping is the unique special correspondence of "image", which includes "many to one", "one to one" and so on, The mapping is not necessarily "surjective". As for one-to-one mapping, it is a special kind of mapping. It should be pointed out that one-to-one mapping has a special significance in mathematics. Many problems are studied through one-to-one mapping to transform and solve them. For example, in plane analytic geometry, geometric problems are transformed into algebraic problems by one-to-one mapping from point to number pairs, and multiplication and division operations are transformed into addition and subtraction operations by one-to-one mapping of "taking logarithm". In this chapter, the concept of one-to-one mapping is also used when introcing inverse function. It can be seen that learning the concept of mapping (especially one-to-one mapping) plays an important role in understanding and mastering the whole content of high school mathematics< The concept of mapping is a difficult point in teaching. In teaching, it is suggested that: (1) grasp the teaching requirements, that is, let students understand the meaning of the concept of mapping, and then use it to understand the concept of function instead of reciting the definition of mapping 2) As the concept of mapping is more abstract, it should be explained with examples 3) In the follow-up study, combined with the relevant content of continuous review, deepen the concept of mapping
for example,
let a and B be two nonempty sets, and f be a rule. If any element X in a corresponds to x according to the rule F, then f is called a mapping from a to B. For example, a = {1,2,3} B = {2,4,6,8,10} if f makes 1 correspond to 2, 2 correspond to 4, and 3 correspond to 6, then f is a mapping from a to B. For another example, a represents the set of all triangles on the plane, B represents the set of all circles on the plane, and f corresponds any triangle to its inscribed circle, then f is also a mapping from a to B. The common notation F: a → B represents the mapping from a to B, and a is called the domain of the mapping. In order to represent the corresponding element Y of element x, it is often written as y = f (x), and Y is called the image of X under the mapping F. The set composed of all the images is a subset of B, which is called range, or image domain
several special mappings
If a mapping from a to B makes any two different elements in a have different images in B, then this mapping is called injective mapping; If a mapping from a to B makes every element in B the image of the element in a, then this mapping is called surjective; A mapping that is both injective and surjective is called bijective. Bijection is also called one-to-one mapping. If a and B are sets of numbers, then f: a → B is a function in the general sense. In modern mathematics, there is no distinction between mapping and function. They are identical concepts
formula
according to the definition of mapping, the following correspondences are all maps< (1) let a = {1,2,3,4} and B = {3,5,7,9}, the element X in set a corresponds to the element 2x + 1 in set B according to the corresponding relation "multiply 2 + 1", which is the mapping from set a to set B< (2) let a = n *, B = {0,1}, the elements in set a correspond to the elements in set B according to the corresponding relation "the remainder of X divided by 2", which is the mapping from set a to set B< (3) let a = {x | X be a triangle}, B = {y | Y & gt; 0}, the element X in set a corresponds to the element in set B according to the corresponding relationship "calculated area", which is the mapping from set a to set B< (4) let a = R, B = {point on line}. According to the method of establishing number axis, the number x in a corresponds to the point P in B, which is the mapping from set a to set B< (5) let a = {P | p be the point in the rectangular coordinate system}, B = {(x, y) | x ∈ R, y ∈ r}. According to the method of establishing the plane rectangular coordinate system, the point P in a corresponds to the ordered real number pair (x, y) in B, which is the mapping from set a to set B[ 2]
feature
mapping describes a special correspondence between two set elements in mathematics
mapping has many names in different fields, they are
5. Let two sets a and B and the corresponding relation R between their elements. If for each element in a, there is a unique element corresponding to it in B through R, then the corresponding relation R is called a mapping from a to B
mapping describes a special correspondence between two set elements in mathematics
maps have many names in different fields, and their essence is the same. Such as functions, operators and so on. Here we want to show that a function is a mapping between two sets of numbers, and other mappings are not functions
one to one mapping (bijection) is a special kind of mapping, that is, the unique correspondence between two set elements. Generally speaking, it is one to one
(it can be seen from the definition that the corresponding relationship shown in Figure 1 is not a mapping, while the corresponding relationship shown in the other three figures is a mapping.)
in other words, let a and B be two nonempty sets. If we use a certain corresponding relation F. so that for any element X in the set a, there is a unique element Y corresponding to it in the set B, then we call it corresponding F: B A is a mapping from set a to set B.
the conditions for a mapping are as follows:
1. Ergodicity of domain: every element X in X has a corresponding object in the mapping range
2. Uniqueness of correspondence: an element in the definition field can only correspond to one element in the mapping value field< Classification of maps:
different classifications of maps are based on the results of maps, from the following three aspects:
1. According to the geometric properties of the results, they are classified as surjective (up) and non surjective (inner)
2. According to the analytical properties of the results, they are classified as simple (one by one) and non simple
3. Consider both geometric and analytical properties: full injectivity (one-to-one correspondence).
mapping describes a special correspondence between two set elements in mathematics
maps have many names in different fields, and their essence is the same. Such as functions, operators and so on. Here we want to show that a function is a mapping between two sets of numbers, and other mappings are not functions
one to one mapping (bijection) is a special kind of mapping, that is, the unique correspondence between two set elements. Generally speaking, it is one to one
(it can be seen from the definition that the corresponding relationship shown in Figure 1 is not a mapping, while the corresponding relationship shown in the other three figures is a mapping.)
in other words, let a and B be two nonempty sets. If we use a certain corresponding relation F. so that for any element X in the set a, there is a unique element Y corresponding to it in the set B, then we call it corresponding F: B A is a mapping from set a to set B.
the conditions for a mapping are as follows:
1. Ergodicity of domain: every element X in X has a corresponding object in the mapping range
2. Uniqueness of correspondence: an element in the definition field can only correspond to one element in the mapping value field< Classification of maps:
different classifications of maps are based on the results of maps, from the following three aspects:
1. According to the geometric properties of the results, they are classified as surjective (up) and non surjective (inner)
2. According to the analytical properties of the results, they are classified as simple (one by one) and non simple
3. Consider both geometric and analytical properties: full injectivity (one-to-one correspondence).
6. Do you mean disk mapping? Or intranet port mapping
if it is the former, here are some references:
map network drive & quot; It means to map a directory in the LAN to a local drive letter, that is to say, to map the shared folder of other machines on the network to a disk on your own machine, which can improve the access time<
how to use mapped drive to realize sharing
in LAN, to access a shared drive or folder, just open the "network neighborhood" window on the desktop, and then select the computer with shared resources. However, this method is not very effective, and sometimes it can not solve practical problems, Therefore, people usually use the method of mapping drive letters to shared resources
XP practical skills: map network drive
if you often use file sharing in windows, you may know that you can browse shared files not only through "network neighborhood" in Windows system, but also by entering: shared computer name in "my computer" address bar. For example: "92&# 92; Computer name & # 92; Share name & # 92; Path: 92; File name
however, using the shared computer name to browse shared files will make us feel very troublesome. Is there a simple way to browse shared files? We can simplify the process of browsing shared files by "mapping network drive"
Windows system provides several methods of "mapping network drive". In the command line mode, we can use: "net use & # 92&# 92; Computer name & # 92; Share name & # 92; Path. In addition to using the command, you can also right-click "start Network Neighborhood" and select "map network drive". In the pop-up window (as shown in the figure), you can directly enter, for example, "& 92&# 92; Computer name & # 92; You can also click Browse in Figure 1 to find the shared content in the current LAN
= = = = = = = = = =
map network drive
map the folder of database file to network drive. Connecting to a database on another computer is like connecting to a local database
operation steps of mapping network drive: return to the desktop of the operating system and open "my computer". In the "tools" menu, select the "map network drive" item, and the setting window will pop up
click the "OK" button, return to figure 5, and click the "finish" button to complete the setting of network drive. In this way, a network drive with the letter "Z" will be directly added to "my computer". Operate the network drive as if it were any other hard disk drive on this computer
note: to disconnect the mapped network drive, just select "network drive", right-click to pop up the quick menu and select "disconnect".
if it is the former, here are some references:
map network drive & quot; It means to map a directory in the LAN to a local drive letter, that is to say, to map the shared folder of other machines on the network to a disk on your own machine, which can improve the access time<
how to use mapped drive to realize sharing
in LAN, to access a shared drive or folder, just open the "network neighborhood" window on the desktop, and then select the computer with shared resources. However, this method is not very effective, and sometimes it can not solve practical problems, Therefore, people usually use the method of mapping drive letters to shared resources
XP practical skills: map network drive
if you often use file sharing in windows, you may know that you can browse shared files not only through "network neighborhood" in Windows system, but also by entering: shared computer name in "my computer" address bar. For example: "92&# 92; Computer name & # 92; Share name & # 92; Path: 92; File name
however, using the shared computer name to browse shared files will make us feel very troublesome. Is there a simple way to browse shared files? We can simplify the process of browsing shared files by "mapping network drive"
Windows system provides several methods of "mapping network drive". In the command line mode, we can use: "net use & # 92&# 92; Computer name & # 92; Share name & # 92; Path. In addition to using the command, you can also right-click "start Network Neighborhood" and select "map network drive". In the pop-up window (as shown in the figure), you can directly enter, for example, "& 92&# 92; Computer name & # 92; You can also click Browse in Figure 1 to find the shared content in the current LAN
= = = = = = = = = =
map network drive
map the folder of database file to network drive. Connecting to a database on another computer is like connecting to a local database
operation steps of mapping network drive: return to the desktop of the operating system and open "my computer". In the "tools" menu, select the "map network drive" item, and the setting window will pop up
click the "OK" button, return to figure 5, and click the "finish" button to complete the setting of network drive. In this way, a network drive with the letter "Z" will be directly added to "my computer". Operate the network drive as if it were any other hard disk drive on this computer
note: to disconnect the mapped network drive, just select "network drive", right-click to pop up the quick menu and select "disconnect".
7. The number of elements of set AB is m, N,
then, the number of mapping from set a to set B is m times
■ function and mapping, the difference between full mapping and single mapping
function is number set to number set mapping, and the mapping is "full"
i.e. full mapping f:
a
- & gt
b is a function, in which the original image set a is called the definition field of the function, and the image set B is called the value field of the function
"number set" is the set of numbers, which can be integers, rational numbers, real numbers, complex numbers or part of them
"mapping" is a more extensive mathematical concept than function, which is a certain correspondence from one set to another. That is, if f is a mapping from set a to set B, then for any element a in a, there is a unique element B corresponding to a in set B. We call a the original image and B the image. Writing F:
a
- & gt
b, the element relation is B
=
F (a).
a mapping f:
a
- & gt
b is called "full", that is to say, for all elements in B, there is the original image in a
in the definition of function, it is required to be surjective, that is to say, B must be exactly the value range and should not be larger than the value range This definition comes from the general middle school teaching method. In fact, many mathematics books do not necessarily define that a function is surjective.)< Each element in an image set has a primitive image mapping, which is called surjective< br />
then, the number of mapping from set a to set B is m times
■ function and mapping, the difference between full mapping and single mapping
function is number set to number set mapping, and the mapping is "full"
i.e. full mapping f:
a
- & gt
b is a function, in which the original image set a is called the definition field of the function, and the image set B is called the value field of the function
"number set" is the set of numbers, which can be integers, rational numbers, real numbers, complex numbers or part of them
"mapping" is a more extensive mathematical concept than function, which is a certain correspondence from one set to another. That is, if f is a mapping from set a to set B, then for any element a in a, there is a unique element B corresponding to a in set B. We call a the original image and B the image. Writing F:
a
- & gt
b, the element relation is B
=
F (a).
a mapping f:
a
- & gt
b is called "full", that is to say, for all elements in B, there is the original image in a
in the definition of function, it is required to be surjective, that is to say, B must be exactly the value range and should not be larger than the value range This definition comes from the general middle school teaching method. In fact, many mathematics books do not necessarily define that a function is surjective.)< Each element in an image set has a primitive image mapping, which is called surjective< br />
8.
1、 Definition
in general, the word mapping has the meaning of irradiation and is a verb. In mathematics, mapping is a term, which refers to the relationship between two sets of elements; It also refers to the action verb "form corresponding relationship"
1. Let a and B be two nonempty sets. According to a certain corresponding relation F, for any element X in the set a, there is a unique element Y corresponding to it in the set B
Then, the corresponding F: a → B is called the mapping from set a to set B, denoted as: F: a → B Image and original image: if a mapping from set a to set B is given, then B in set B corresponding to a in set a is called the image of a, and a is called the original image of B Second, the relationship between function and mappingfunction and mapping are the corresponding relations of the elements in two non empty sets. The correspondence between function and mapping is directional. The elements in a are arbitrary and the elements in B are unique; That is, any element in a has a unique element corresponding to B
Function is a special kind of mapping, which requires that the elements of two sets must be numbers, and the elements of two sets in the mapping are arbitrary mathematical objects In other words, the set of value ranges can not have resial elements, but the set of mapping images can have resial elements3. For a function, there is a sequence relation, that is, the range of values generated by the definition field according to the corresponding rule. For a mapping, there is no sequence relation, and two sets exist at the same time
extended data
1. The two sets a and B in the mapping can be number sets, point sets, sets composed of graphs and sets of other elements
The mapping from a to B is different from that from B to a The core of the mapping is the arbitrariness of the elements in set a and the uniqueness of the corresponding elements in set B The mapping allows some elements in set B to have no primitive image in set a, that is, the set composed of images Mapping allows different elements in set a to have the same image in set B, that is, mapping can only be "many to one" or "one to one". It can't be one to many Source: network mapping9.
Mapping is to direct one or several ports of the router to the intranet. The main purpose is to make a server with your own computer, so that netizens everywhere can directly access this machine
network port is the code used to distinguish different devices ring IP protocol message transmission, also known as logical port. The port mentioned here is not a physical I / O port
application software, system services and other external links on the computer will use ports, but the ports used for services or applications that cannot be accessed are different, such as 80 ports for web, 21 for FTP, 3389 for remote connection and so on
because the IPv4 public network address is limited, human beings invented NAT technology. Through NAT conversion, the terminals in the internal network can communicate with the external network. The process uses port forwarding (i.e. Yingxie)
the so-called port mapping is to convert the intranet IP address of the computer host in the intranet into a public IP address. However, there is only one public IP address. There are many intranet devices and applications. How can they correspond? So different ports are used to distinguish different devices and services
There are two kinds of port mapping in
extended data
one is called dynamic random mapping. Usually this situation does not need human intervention
another kind of static mapping is to specify the IP address of a terminal + the specified port. This is usually used for special services, so it is also called service forwarding. If you want to access the specified computer from the Internet, you need to use static mapping
note that the static mapping requires the gateway to open the port, so pay attention to strengthen the security when setting
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