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minimum 
1  adj You use minimum to describe an amount which is the smallest that is possible, allowed, or required., (Antonym: maximum)  He was only five feet nine, the minimum height for a policeman.  
2  adj You use minimum to state how small an amount is. 
The basic needs of life are available with minimum effort...  
3  adv If you say that something is a particular amount minimum, you mean that this is the smallest amount it should be or could possibly be, although a larger amount is acceptable or very possible., (Antonym: maximum)  You're talking over a thousand pounds minimum for one course.  
4 You use at a minimum, or at the minimum, when you want to indicate that something is the very least which could or should happen. 
♦ at the most  phrase 
 (Antonym: at the maximum)  This would take three months at a minimum...  
5 If you say that someone keeps something to a minimum, or to the minimum, you mean that they keep the amount of it as small as possible. 
♦ to a/the minimum  phrase 
Office machinery is kept to a minimum...