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What is a relation in which each element of the first set is paired with exactly one element of the second set?
If every element of the first set is paired with exactly one element of the second set, it is called an injective (or one-to-one) function.
An example of such a relation is below.
Let f(x) and x be the set R (the set of all real numbers)
f(x)= x3, clearly this maps every element of the first set, x, to one and only one element of the second set, f(x), even though every element of the second set is not mapped to.
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What is a relation in which each first coordinate is paired with exactly one second coordinate?
Those conditions satisfy the conditions of a function.
How do you determine if you are given a set of ordered pairs that represent a function?
A relation is a set of ordered pairs.A function is a relation such that for each element there is one and only one second element.Example:{(1, 2), (4, 3), (6, 1), (5, 2)}This is a function because every ordered pair has a different first element.Example:{(1, 2), (5, 6), (7, 2), (1, 3)}This is a relation but not a function because when the first element is 1, the second element can be either 2 or 3.
What is the determinant of a two-by-two matrix?
To find that, you multiply the first element of the first row by the second element of the second row. You also multiply the first element of the second row with the second element of the first row. Then you subtract the products not add them.
What is the formula of reflexive relation?
Call the relation R. Also, x R y means (x, y) is in R. (For an idea of how that works, in the set called <, the first element of each ordered pair is always smaller than the second.) Now, a relation is reflexive if, for all x in the domain of R, x R x. That is, (x, x) is in R. A few examples are =, ≤, | (or, "is divisible by"), and the ever familiar, "plus some integer equals."
Relation between Images Per Second and frame per second?
Images per second and frames per second are both the same. They describe the video image that is stored.
What is meaning of relation in math?
A relation is any set of ordered pairs.A function is a relation in which each first element corresponds to exactly one second element
What is the mathematical meaning of a relation which is used in functions?
A relation is simply a collection of ordered pairs. That is, a relation is a pairing of an element from one set with an element from another set.A function is a special type of relation. In a function, each element from the first set (or domain) is paired with exactly one element from the second set (or range). That is, no domain element is used more than once.I will solve all your math problems. Check my profile for more info.
What is a relation in which each first coordinate is paired with exactly one second coordinate?
Those conditions satisfy the conditions of a function.
Which pairs of ordered pair could you remove from the relation -1013222331 so that it become a function?
To determine which pairs of ordered pairs can be removed from the relation -1013222331 to make it a function, we need to identify any duplicate first elements. A relation is a function if each input (first element) is associated with exactly one output (second element). If there are any pairs with the same first element but different second elements, one of those pairs must be removed to ensure the relation meets the definition of a function.
Is ordered pairs a relation or function?
An ordered pair can represent either a relation or a function, depending on its properties. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (first element of the pair) is associated with exactly one output (second element of the pair). If an ordered pair is part of a set where each input corresponds to only one output, it defines a function. Otherwise, it is just a relation.
What is an example of a function and a relation?
A relation is any set of ordered pairs, such as ({(1, 2), (2, 3), (3, 4)}), where the first element can repeat. A function is a specific type of relation where each input (or first element) is associated with exactly one output (or second element), such as (f(x) = x + 1), which pairs each (x) value with a unique (y) value. For example, (f(1) = 2), (f(2) = 3), and so on, ensuring no input has multiple outputs.
How do you identify a function?
A function is a mapping from one set to another such that each element from the first set is mapped onto exactly one element from the second set.
How do you determine if you are given a set of ordered pairs that represent a function?
A relation is a set of ordered pairs.A function is a relation such that for each element there is one and only one second element.Example:{(1, 2), (4, 3), (6, 1), (5, 2)}This is a function because every ordered pair has a different first element.Example:{(1, 2), (5, 6), (7, 2), (1, 3)}This is a relation but not a function because when the first element is 1, the second element can be either 2 or 3.
Is a relation in which each first component in the ordered pairs corresponds to exactly one second component.?
Not necessarily. x to sqrt(x) is a relation, but (apart from 0) the first component in each pair corresponds to two second components eg (4, -2) and (4, +2). The square root is, nevertheless, a relation, though it is not a function.
How many paired electrons are paired in an atom of boron?
An atom of boron has 3 paired electrons. Boron has 5 electrons in its neutral state, with 2 electrons in the first shell and 3 paired electrons in the second shell.
What is the second element In a chemical equation?
The second element in a chemical equation is typically the element to the right in the equation following the first element. The second element will combine with the first element to form a compound or molecule.
Why does Lewis diagram of helium differ from that of argon?
The Lewis diagram of helium shows two electrons paired in the first energy level, while argon shows two electrons paired in the first energy level and eight electrons paired in the second energy level. This difference is due to the atomic number and electron configuration of each element: helium has 2 electrons in total, while argon has 18 electrons in total.
