What is the difference between boost and weight

Boost parameter is used in the below example
wildcard": {
"City": {
"wildcard": "M",
"boost": 10
}
Can I use similar query for weight?

Where did you see weight?

function_score query

What is the difference between apply ^ and using boost?
Does these both refer to boost? Or is this below example of weight.
{
"query": {
"multi_match" : {
"query": "London",
"fields": [ "City", "AnotherCity^4" ]
}

}

Yes.

Thank you @dadoonet

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