The exponential function maps the set of real numbers onto the set of positive real numbers.
assuming each of the values in its codomain; having its range equal to its codomain
Considered as a function on the real numbers, the exponential function is not onto.
If someone is onto you, they have discovered that you are doing something illegal or wrong. I had told people what he had been doing, so now the police were onto him
When you get onto a bus, train, or plane, you enter it in order to travel somewhere. As he got on to the plane, he asked me how I was feeling `I'll see you onto the train.' --- `Thank you.' off
If someone is onto something, they are about to discover something important. He leaned across the table and whispered to me, `I'm really onto something.' Archaeologists knew they were onto something big when they started digging
Onto is used after verbs such as `hold', `hang', and `cling' to indicate what someone is holding firmly or where something is being held firmly. The reflector is held onto the sides of the spacecraft with a frame She was conscious of a second man hanging on to the rail
onto In addition to the uses shown below, onto is used in phrasal verbs such as `hold onto' and `latch onto'
You can sometimes use onto to indicate that something or someone becomes included as a part of a list or system. The Macedonian question had failed to get on to the agenda The pill itself has changed a lot since it first came onto the market Twelve thousand workers will go onto a four-day week at their factory in Birmingham
You can use onto to introduce the place towards which a light or someone's look is directed. the metal part of the door onto which the sun had been shining the house with its leafy garden and its view on to Regent's Park
You can sometimes use onto to mention the place or area that someone moves into. The players emerged onto the field Alex turned his car on to the Albert Quay and drove along until he found a parking place
A function f is said to map A onto B if for every b in B, there is some a in A such f(a)=b
A mapping is onto if every element of the target set is mapped on at least once (but maybe more than once) In other words, a filter is onto if for every possible output, there is at least one input to the filter that the filter results in that output
When you change the position of your body, you use onto to introduce the part your body which is now supporting you. As he stepped backwards she fell onto her knees, then onto her face I willed my eyes to open and heaved myself over on to my back
If people who are talking get onto a different subject, they begin talking about it. Let's get on to more important matters So, if we could just move onto something else?
If something moves or is put onto an object or surface, it is then on that object or surface. I took my bags inside, lowered myself onto the bed and switched on the TV Smear Vaseline on to your baby's skin to prevent soreness
You can use onto to introduce a place that you would immediately come to after leaving another place that you have just mentioned, because they are next to each other. windows opening onto carved black-wood balconies The door opened onto a lighted hallway
assuming each of the values in its codomain; having its range equal to its codomain (said of a function)
If someone latches onto a person or an idea or latches on, they become very interested in the person or idea, often finding them so useful that they do not want to leave them. Rob had latched onto me. He followed me around, sat beside me at lunch, and usually ended up working with me Other trades have been quick to latch on
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