To assign is to specify something or someone for a specific purpose. If your sisters fight over whose turn it is to sit in the front seat, your parents may have to assign turns.
To appoint; to allot; to apportion; to make over.
Verb
 select something or someone for a specific purpose; "The teacher assigned him to lead his classmates in the exercise"
Verb
 attribute or credit to; "We attributed this quotation to Shakespeare"; "People impute great cleverness to cats"
Verb
 decide as to where something belongs in a scheme; "The biologist assigned the mushroom to the proper class"
Verb
 attribute or give; "She put too much emphasis on her the last statement"; "He put all his efforts into this job"; "The teacher put an interesting twist to the interpretation of the story"
Verb
 transfer one''s right to
Verb
 give out or allot; "We were assigned new uniforms"
Verb
 make undue claims to having
Verb
 give an assignment to (a person) to a post, or assign a task to (a person)
v. t.
 To appoint; to allot; to apportion; to make over.
v. t.
 To fix, specify, select, or designate; to point out
   authoritatively or exactly; as, to assign a limit; to assign counsel
   for a prisoner; to assign a day for trial.
v. t.
 To transfer, or make over to another, esp. to transfer
   to, and vest in, certain persons, called assignees, for the benefit of
   creditors.
v.
 A thing pertaining or belonging to something else; an
   appurtenance.
n.
 A person to whom property or an interest is transferred;
   as, a deed to a man and his heirs and assigns.
Assign
In the order I assign to them.
The man who could feel thus was worthy of a better station than that in which his lot had been assigned.
He assigned to his men their several posts.2.
All as the dwarf the way to her assigned.
It is not easy to assign a period more eventful.3.
Assign
Six French rapiers and poniards, with their assigns, as girdles, hangers, and so.
Assign
To appoint; to allot; to apportion; to make over.
A thing pertaining or belonging to something else; an appurtenance.
A person to whom property or an interest is transferred; 
Usage Examples
Probably only an art-worlder like me could assign deeper meaning to something as simple and silly as Tebowing. But, to us, anytime people repeat a stance or a little dance, alone or together, we see that it can mean something. Imagistic and unspoken language is our thing.
Who would dare assign to art the sterile function of imitating nature?
Our pets rely on us entirely for their nutrition. So if you're making your own judgments, that could lead to a mistake. At the same time, we have more control over our pet's diet than we do with our children or with ourselves, so your vet can tell you what is appropriate for your dog and you can assign them that.
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Other Usage ExamplesWhile the Environmental Genome Project does not seek to assign allele frequencies, we are aware of the importance of accurate allele frequency estimates for future epidemiologic studies and the large sample sizes such estimates will require.
We trifle when we assign limits to our desires, since nature hath set none.
We have failed to protect science against speculative extensions of nature, continuing to assign physical and mathematical properties to hypothetical entities beyond what is observable in nature.
If you want to build a ship, don't drum up people to collect wood and don't assign them tasks and work, but rather teach them to long for the endless immensity of the sea.
