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What is an affine group?

An affine group is the group of all affine transformations of a finite-dimensional vector space.


What is an affine space?

An affine space is a vector space with no origin.


When was Medicorophium affine created?

Medicorophium affine was created in 1859.


When was Agonum affine created?

Agonum affine was created in 1837.


When was Stylidium affine created?

Stylidium affine was created in 1845.


When was Pyropteron affine created?

Pyropteron affine was created in 1856.


What are all the different types of shift ciphers?

Shift ciphers, a type of substitution cipher, include several variations: the Caesar cipher, which shifts letters by a fixed number (e.g., three positions), and the ROT13 cipher, which shifts letters by 13 positions. More complex types include the Vigenère cipher, which uses a keyword to determine variable shifts for different letters. Additionally, the Affine cipher combines linear transformations, applying both a multiplication and a shift. Each type maintains the fundamental principle of shifting characters within the alphabet.


What is an affine transformation?

An affine transformation is a linear transformation between vector spaces, followed by a translation.


Why is it important to study feistel cipher?

Is the structure used by many signifi-cant symmetric block ciphers currently in use.


What is an affine combination?

An affine combination is a linear combination of vectors in Euclidian space in which the coefficients add up to one.


What substitution system results when you use a 25 x 1 playfair matrix?

Caesar Cipher


Who invented affine space in linear algebra?

Euler introduced the term affine (Latin affinis, "related") in 1748 in his book "Introductio in analysin infinitorum." Felix Klein's Erlangen program recognized affine geometry as a generalization of Euclidean geometry.