note - Definition from Longman English Dictionary Online

note
2 verb

note2 [transitive] formal

1 to notice or pay careful attention to something:

He carefully noted the time when they left the building.

note (that)

Please note that the bill must be paid within ten days.

It should be noted that parking without a permit attracts a charge of £5.

note how

Note how she is holding her racket.

2 to mention something because it is important or interesting

note that

The judge noted that Miller had no previous criminal record.

note something ↔ down

phrasal verb

to write something down so that you will remember it:

Note down the main points you want to include in your essay.

Definition from the Longman Dictionary of Contemporary English
Advanced Learner's Dictionary.

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note² verb