Definition of however adverb from the Oxford Advanced American Dictionary

      

    however

     adverb
    adverb
    NAmE//haʊˈɛvər//
     
     
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  1. 1used with an adjective or adverb to mean “to whatever degree” He wanted to take no risks, however small. She has the window open, however cold it is outside. However carefully I explained, she still didn't understand. When ever is used to emphasize how, meaning “In what way or manner?”, it is usually written as a separate word:How ever did you get here so quickly?
  2. 2in whatever way However you look at it, it's going to cost a lot.
  3. 3used to introduce a statement that contrasts with something that has just been said He was feeling bad. He went to work, however, and tried to concentrate. We thought the figures were correct. However, we have now discovered some errors.
  4. Language Bankhoweverways of saying “but” Politicians have promised to improve road safety. So far, however, little has been achieved. Despite/In spite of clear evidence from road safety studies, no new measures have been introduced. Politicians have promised to improve road safety. In spite of this/Despite this, little has been achieved so far. Although politicians have promised to improve road safety, little has been achieved so far. Some politicians claim that the new transportation policy has been a success. In fact, it has been a total disaster. Government campaigns have had a measure of success, but the fact remains that large numbers of accidents are still caused by careless drivers.
See the Oxford Advanced Learner's Dictionary entry: however