As discussion about Artificial Intelligence has become a mainstream topic, we hear a lot of terms used in loosely. One key example is model and algorithm, typically calling everything an algorithm (because it sounds more scientific?). In fact, when we are talking about AI in applications (in society) we are almost always talking about models, not about algorithms. A model is a stylized way to describe a relation between two things. Just like a London supermodel is a stylized way to show clothes.

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Today is Monday January 1st 2024, what day of the week will it be in 7 days? That is pretty simple, a week has seven days, so seven days from now exactly one week will have passed, and it will again be a Monday. That’s correct, now let’s make this slightly harder, what day of the week will it be in 14 days? That is also pretty simple, a week has seven days, 2 times 7 is 14, so in 14 days exactly 2 weeks will have passed and it will again be a Monday.

We begin by loading 2 packages, polynom for dealing with polynomials and my package [HomomorophicEncryption](https://CRAN.R-project.org/package= HomomorophicEncryption) which has several helper functions. library(polynom) library(HomomorphicEncryption) #> Loading required package: HEtools Set some parameters. d = 4 n = 2^d p = (n/2)-1 t = p q = 868 Set a working seed for random numbers set.seed(123) Here we create the polynomial modulo.

Encryption is typically used to protect information like written communication from evedropping, such as messages sent over the internet. However, encryption can also be used to encrypt data, moreso using homomorphic encryption, the data can still be computed upon while encrypted, the results will still be encrypted (but valid), and can be decrypted again by the orignal data owner/supplier. A couple of years ago I was skiing on Mont Blanc, I had a bad fall and an X-ray was made. This being a mountain village (Chamonix) there was not medical docter available, so a vetinarian (there are lots of cows in those mountains) took it. A vetinarian may be able to operate the X-ray machine, but they cannot interpret the photograph (all true up to here).