как употребляются глаголы в чем разница note и notice ?(замечать)

Особой разницы в тезауресе не нашел
notice ~ verb uncommon

1. discover or determine the existence, presence, or fact of

She detected high levels of lead in her drinking water; We found traces of lead in the paint

2. notice or perceive

She noted that someone was following her; mark my words

3. make or write a comment on

he commented the paper of his colleague

4. express recognition of the presence or existence of, or acquaintance with

He never acknowledges his colleagues when they run into him in the hallway; She acknowledged his complement with a smile; it is important to acknowledge the work of others in one's own writing

notice ~ noun common

1. an announcement containing information about an event

you didn't give me enough notice; an obituary notice; a notice of sale

2. the act of noticing or paying attention

he escaped the notice of the police

3. a request for payment

the notification stated the grace period and the penalties for defaulting

4. advance notification (usually written) of the intention to withdraw from an arrangement of contract

we received a notice to vacate the premises; he gave notice two months before he moved

5. a sign posted in a public place as an advertisement

a poster advertised the coming attractions

6. polite or favorable attention

his hard work soon attracted the teacher's notice

7. a short critical review

the play received good notices

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note ~ verb uncommon

1. make mention of

She observed that his presentation took up too much time; They noted that it was a fine day to go sailing

2. notice or perceive

She noted that someone was following her; mark my words

3. observe with care or pay close attention to

Take note of this chemical reaction

4. make a written note of

she noted everything the teacher said that morning

note ~ noun familiar

1. a brief written record

he made a note of the appointment

2. a short personal letter

drop me a line when you get there

3. a notation representing the pitch and duration of a musical sound

the singer held the note too long

4. a tone of voice that shows what the speaker is feeling

there was a note of uncertainty in his voice

5. a characteristic emotional quality

it ended on a sour note; there was a note of gaiety in her manner; he detected a note of sarcasm

6. a piece of paper money (especially one issued by a central bank)

he peeled off five one-thousand-zloty notes

7. a comment or instruction (usually added)

his notes were appended at the end of the article; he added a short notation to the address on the envelope

8. high status importance owing to marked superiority

a scholar of great eminence

9. a promise to pay a specified amount on demand or at a certain time

I had to co-sign his note at the bank

записать
заметить

в общем употреблении note - сделать себе пометку на будущее, чтобы например не забыть.
notice - заметить, например какую-то особенность или что-то необычное