Definition (Gaussian integers). A Gaussian integer is a number of the form a + bi where a and b are two integers and i is an imaginary number such that i2 = -1.
Episode 03 – Gaussian integers European section – Season 3
Episode 03 – Gaussian integers
Gaussian integers on a lattice
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Episode 03 – Gaussian integers
Gaussian integers on a lattice
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Episode 03 – Gaussian integers
Gaussian integers on a lattice
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Episode 03 – Gaussian integers
Gaussian integers on a lattice
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Episode 03 – Gaussian integers
Gaussian integers on a lattice
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2 − 3i
Episode 03 – Gaussian integers
Gaussian integers on a lattice
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2 − 3i
Episode 03 – Gaussian integers
Gaussian integers on a lattice
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−4 + 4i bc
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2 − 3i
Episode 03 – Gaussian integers
Operations in the set of Gaussian integers
Definition (Gaussian integers) A Gaussian integer is a number of the form a + bi where a and b are two integers and i is an imaginary number such that i 2 = −1. The set of all Gaussian integers is usually noted Z [i].
Episode 03 – Gaussian integers
Operations in the set of Gaussian integers
Definition (Gaussian integers) A Gaussian integer is a number of the form a + bi where a and b are two integers and i is an imaginary number such that i 2 = −1. The set of all Gaussian integers is usually noted Z [i]. Golden rule 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 in addition.
Episode 03 – Gaussian integers
Addition and multiplication of points ?
Question 1 What is the graphical effect of adding a Gaussian integer to another ?
Episode 03 – Gaussian integers
Addition and multiplication of points ?
Question 1 What is the graphical effect of adding a Gaussian integer to another ? Question 2 What is the graphical effect of multiplying a Gaussian integer by another ?
Episode 03 – Gaussian integers
Addition and multiplication of points ?
Question 1 What is the graphical effect of adding a Gaussian integer to another ? Question 2 What is the graphical effect of multiplying a Gaussian integer by another ? Study the problem for :
Episode 03 – Gaussian integers
Addition and multiplication of points ?
Question 1 What is the graphical effect of adding a Gaussian integer to another ? Question 2 What is the graphical effect of multiplying a Gaussian integer by another ? Study the problem for : multiplication by a real number b ;
Episode 03 – Gaussian integers
Addition and multiplication of points ?
Question 1 What is the graphical effect of adding a Gaussian integer to another ? Question 2 What is the graphical effect of multiplying a Gaussian integer by another ? Study the problem for : multiplication by a real number b ; multiplication by the imaginary number i ;
Episode 03 – Gaussian integers
Addition and multiplication of points ?
Question 1 What is the graphical effect of adding a Gaussian integer to another ? Question 2 What is the graphical effect of multiplying a Gaussian integer by another ? Study the problem for : multiplication by a real number b ; multiplication by the imaginary number i ; multiplication by the imaginary number bi.
Definition (Gaussian prime). Any Gaussian integer g is divisible by 1, â1, i, âi, g, âg, âig and ig. A Gaussian prime is a Gaussian integer that is not divisible by an.
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of prime or compound integers. Denise Vella-Chemla. 28.8.2016. We would want to precise here the fact that it is possible to establish if a number is prime or not.
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A sequence of numbers (an) is arithmetic if the difference between two consecutive terms is a constant number. Intuitively, to go from one term to the next one, ...
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