Google how to search correctly?

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Today we will learn the "correct" Google search. Welcome =)

Basic examples:

bikini italy - a search will be made for the words "bikini" and "Italy"
metal processing OR plastic - will search for "metal recycling" or "plastic recycling"
"I have a dream" - search for exactly this phrase
salsa dance - look for the word "salsa", but without the word "dance"
Louis "I" France - look for Louis the First (I), the king of France
castle ~ term - search for the word "castle", as well as all synonyms for the word "term"

Calculator:

+ - * / - arithmetic (regular)
% of - displays the number of percent of the specified number (approx. 10% of 50 )
^ or ** - exponentiation
from <value> in to <value> - converter (approx. Currencies - 300 euros in rubles)

Narrow focus search:

 city1 city2 - timetable, tickets from city1 to city2 
 site: <site> - search on the "site" 
 <number> .. <number> - search in the specified range of numbers 
 filetype: (or ext:) <file_type> - search by "file type" 
 link: <site> - search for a link on sites to "site" (something like that =))

Special informative search:

book <book> - search for a "book"
phonebook: <phone number> - search for "phone number"
bphonebook: <phone number> - search for the "telephone number" of the company
define, what is, what are - search for a definition of a word or phrase
define: <word> - display the definition of the word
movie: <word> - search for the "word" in the description of the film, including reviews and more
stocks: <commodity> - search for "product"
weather <location> - displays the weather in the "location" (city or zip code)

Alternative search types:

 cache: <link> - display the cached version for the "link" 
 info: (or id:) <site> - search for information about the "site" 
 related: <site> - display a list of similar (similar) "sites"

Narrow site search:

allinanchor: <words> - search for all specified "words" in the site links
inanchor: <word> - search for a "word" in the site links
allintext: <words> - search for all specified "words" in the text of the site
intext: <word> - search for the "word" in the text of the site
allintitle: <words> - search for all "words" in site headers
intitle: <word> - search for "words" in site titles
allinurl: <words> - search for all specified "words" in the site link
inurl: <word> - search for a "word" in the site link

Narrow Google Groups Search:

author: <author> - search for messages on Google groups from the "author"
group: <group> - search for messages on Google groups in the "group"
insubject: <topic> - search for messages on Google groups in the "subject"

Narrow Google News Search:

location: <location> - search for news from Google on this "location"
source: <source> - search for news from Google from the data of "sources"

Source