Analogue computing in mathematics

[Anonymous No.10134509]

Is there a place for analog computing in simulations? Should a sim computer have an "analog card" that interfaces with the computer to do floating point calculations to a higher degree of accuracy?

[Anonymous No.10134530]

>>10134509
lolautism

[Anonymous No.10134541]

>>10134509
floating point is about precision, not accuracy.

[Anonymous No.10134557]

>>10134509
>Is there a place for analog computing in simulations?
No. There hasn't been for many decades

> hould a sim computer have an "analog card" that interfaces with the computer to do floating point calculations to a higher degree of accuracy?
What makes you think that would be faster or more precise than digital calculation?

[Anonymous No.10134866]

>>10134509
Nope analog simulation is not faster, plus it is noisy and non-repeatable.

[Anonymous No.10136484]

>>10134509
that ashens hand

[Anonymous No.10136506]

>>10134541
>floating point is about precision, not accuracy.

Precision is a description of random errors, a measure of statistical variability.

Accuracy has two definitions:

More commonly, it is a description of systematic errors, a measure of statistical bias; as these cause a difference between a result and a "true" value, ISO calls this trueness.
Alternatively, ISO defines accuracy as describing a combination of both types of observational error above (random and systematic), so high accuracy requires both high precision and high trueness.

[Anonymous No.10136510]

>>10134509
https://www.boost.org/doc/libs/1_68_0/libs/multiprecision/doc/html/boost_multiprecision/tut/floats.html

[Anonymous No.10136545]

>>10134509
nanomechanical computers?

[Anonymous No.10136652]

>>10134509
let A,B be convex cones and T : A -> B be an origin preserving and prefix nondecreasing map

this is an analog filter when A,B are subsets of finite-dimensional real vector spaces

[Anonymous No.10136664]

>>10136652
the order on the cones is

a_1 <= a_2 if there exists a' such that a_1 + a' = a_2

[Anonymous No.10136673]

>>10134509
https://en.wikipedia.org/wiki/Shannon%E2%80%93Hartley_theorem
It isn't fundamentally better than digital at a mathematical level but I feel it is underrated as a possibility to explore as long as you understand the heavy limitations.
One possibility is saving power with allowed for amounts of errors.
An image doesn't necessarily have to display perfectly accurate on the screen if it is gone the next.

[Anonymous No.10136676]

>>10136673
Oops wrong link
https://en.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem

[Anonymous No.10136759]

>>10136664
a linear transformation of filters T_1 : A_1 -> B_1, T_2 : A_2 -> B_2 is a pair (U,U') of linear transformations of cones U' : A_2 -> A_1 and U : B_1 -> B_2 such that T_2(a_2) = U(T_1(U'(a_2))) for all a_2 <- A_2

[Anonymous No.10136955]

>>10136759
a linear transformation (U,U') is invertible if U,U' are invertible