mathematically
UK: ˌmæθəˈmætɪkli | US: ˌmæθəˈmætɪkli
adv. in a manner relating to mathematics; with logical precision
adv. using mathematical methods or principles
The word "mathematically" derives from the base "mathematic," which traces back to the Greek "mathēmatikós" (μανθάνω, "to learn"). The suffix "-al" (Latin "-alis") forms adjectives, and "-ly" (Old English "-lice") converts adjectives into adverbs. Thus, "mathematically" literally means "in a math-related manner," reflecting systematic, exact reasoning.
The problem was solved mathematically, leaving no room for error.
She approached the data mathematically, using statistical models.
The theory was proven mathematically before experimental testing.
He described the phenomenon mathematically to ensure clarity.
The algorithm operates mathematically, processing inputs with precision.