Episode 17 – Different types of line equations European section, season 01
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To find the coordinates of the intersection of a plane with a line (if it exists), just solve the system made of a cartesian equation of the plane and a set of parametric equations
Erdös asks us to imagine an alien force, vastly more powerful than us, landing on Earth and demanding the value of R (5, 5) or they will destroy our planet. In that case, he claims,
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Addition and multiplication in the set Z [i ] follow the same rules as addition and multiplication of integers but “real parts” and “imaginary parts” cannot be mixed up
The set Z[i] is a unique factorization domain : any Gaussian integer can be written as a product of Gaussian primes, and this. decomposition is unique except for reordering