0
How do you identify if an equation is function or mere relation?
Wiki User
∙ 11y ago
you will know if it is Function because if you see unlike abscissa in an equation or ordered pair, and you will determine if it is a mere relation because the the equation or ordered pairs has the same abscissa.
example of function: {(-1.5) (0,5) (1,5) (2,5)} you will see all the ordinates are the same but the abscissa are obviously unlike
example of mere relation: {(3,2) (3,3) (3,4) (3,5)} you will see that the ordinates aren't the same but the abscissa are obviously the same. Try to graph it.!
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What is a mere relation?
A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.
Why does X represent unknown?
Mere convention, my dear friend, mere convention.
What is the difference between threat and attack?
ta mere
Axioms for functional dependencies and inclusion dependencies?
4. Functional dependencyIn relational database theory, a functional dependency is a constraint between two sets of attributes in a relation from a database.Given a relation R, a set of attributes X in R is said to functionally determine another set of attributes Y, also in R, (written X → Y) if, and only if, each X value is associated with precisely one Y value; R is then said to satisfy the functional dependency X → Y. Equivalently, the projection is a function, i.e. Y is a function of X.[1][2] In simple words, if the values for the X attributes are known (say they are x), then the values for the Y attributes corresponding to x can be determined by looking them up in any tuple of Rcontaining x. Customarily X is called the determinant set and Y the dependent set. A functional dependency FD: X → Y is called trivial if Y is a subset of X.The determination of functional dependencies is an important part of designing databases in the relational model, and in database normalization and denormalization. A simple application of functional dependencies is Heath's theorem; it says that a relation R over an attribute set U and satisfying a functional dependency X → Y can be safely split in two relations having the lossless-join decomposition property, namely into where Z = U − XY are the rest of the attributes. (Unions of attribute sets are customarily denoted by mere juxtapositions in database theory.) An important notion in this context is a candidate key, defined as a minimal set of attributes that functionally determine all of the attributes in a relation. The functional dependencies, along with the attribute domains, are selected so as to generate constraints that would exclude as much data inappropriate to the user domain from the system as possible.A notion of logical implication is defined for functional dependencies in the following way: a set of functional dependencies logically implies another set of dependencies , if any relation R satisfying all dependencies from also satisfies all dependencies from ; this is usually written . The notion of logical implication for functional dependencies admits a sound and complete finite axiomatization, known as Armstrong's axioms.Properties and axiomatization of functional dependenciesGiven that X, Y, and Z are sets of attributes in a relation R, one can derive several properties of functional dependencies. Among the most important are the following, usually called Armstrong's axioms:[3]Reflexivity: If Y is a subset of X, then X → YAugmentation: If X → Y, then XZ → YZTransitivity: If X → Y and Y → Z, then X → Z"Reflexivity" can be weakened to just , i.e. it is an actual axiom, where the other two are proper inference rules, more precisely giving rise to the following rules of syntactic consequence:[4].These three rules are a sound and complete axiomatization of functional dependencies. This axiomatization is sometimes described as finite because the number of inference rules is finite,[5] with the caveat that the axiom and rules of inference are all schemata, meaning that the X, Y and Z range over all ground terms (attribute sets).[4]From these rules, we can derive these secondary rules:[3]Union: If X → Y and X → Z, then X → YZDecomposition: If X → YZ, then X → Y and X → ZPseudotransitivity: If X → Y and WY→ Z, then WX → ZThe union and decomposition rules can be combined in a logical equivalence stating that X → YZ, holds iff X → Y and X → Z. This is sometimes called the splitting/combining rule.[6]Another rule that is sometimes handy is:[7]Composition: If X → Y and Z → W, then XZ → YWEquivalent sets of functional dependencies are called covers of each other. Every set of functional dependencies has a canonical cover.
Why is the square root of 2 not irrational?
The square root of two hasn't been irrational since you've asked that question because, moments before you posed it, the Large Hadron Collider created a sprinkle-doughnut sized black hole that lived just long enough to travel to the grave of Aristotle and turn off the super-secret "universal logic" switch that he had created just hours before his death and mere seconds after he transcribed the world's first blues progression. Thus, all logic has been erased, including the simple, logical proof that the square root of two is irrational. Oh, why must I live in such a nonsensical world!
Identify the ways of determining functions and mere relation?
ewan
How can you determine that a set of ordered pairs are a graph table diagram equation a function or mere relation?
In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.
When can you say that the graph is function or mere relation?
If a vertical line intersects the graph at more than one point then it is not a function.
What is a mere relation?
A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.
How will you determine if a graph is a function or a mere relation?
You use the "vertical line test". If anywhere you can draw a vertical line that goes through two points of the graph, the relation is not a function; otherwise, it is a function. This is just another way of saying that in a function for every x value (input) there is AT MOST one y value (output).
What is the function of a mere?
To hold water. A mere is a lake.
Is mere relations a function?
No.
What are the differences of function and mere relation?
A function can map each element in the domain to only one element in the codomain or range. A relation is not so restricted. A simple non-mathematical illustration: relation: y = biological parent(x) function: z = biological mother(x) Leaving aside complications from surrogacy or other exceptional situations, each person has only one natural mother. Siblings may share the same natuarl mother but they are different elements of the domain. However, for each person, there are two biological parents. The relationship or mapping is said to be one to many, and is therefore not a function.
whet is Literature of Knowledge?
The function of the literature of knowledge is to teach. It speaks to the mere discursive understanding. Whereas, the function of the literature of power is to move.
What is the definition of a mere puff?
Mere Puff is a statement, which by its nature, and in the context in which it is made, is not intended to have legal relation. It is used in contract law to describe the statements of a contract. When a statement is a "term" and one of the parties breach it then it is going to be legally liable to the other party. If a term is just a representation (or mere puff) the remedies are going to be different.
When was Mere Hamdam Mere Dost created?
Mere Hamdam Mere Dost was created in 1968.
Which are examples of mere relation?
It is a collection of the second values in the ordered pair (Set of all output (y) values). Example: In the relation, {(-2, 3), {4, 5), (6, -5), (-2, 3)}, The domain is {-2, 4, 6} and range is {-5, 3, 5}.
