Post History
#3: Post edited
by
Artisian
·
2023-06-22T18:19:51Z (over 1 year ago)
- I would describe your function $s$ is the (absolute value of) the discrete derivative of functions on 4 points, arranged cyclically. This is a special case of a bunch similar functions, often denoted like this:
$\Delta_h f = f(x+h) - f(x),$- for various h and kinds of functions/domains/ranges.
- The vectors you're looking at can be thought of as specifying a function on $\{0,1,2,3\}$, with $f(0) = \theta_0, f(1) = \theta_1$, etc.
- This framing actually makes your conjecture accessible with stuff you probably already know, if you think back to calculus. But you explicitly didn't ask for a solution to your problem, so I'll not say more.
- I would describe your function $s$ is the (absolute value of) the discrete derivative of functions on 4 points, arranged cyclically. This is a special case of a bunch similar functions, often denoted like this:
- $\Delta_h f(x) = f(x+h) - f(x),$
- for various h and kinds of functions/domains/ranges.
- The vectors you're looking at can be thought of as specifying a function on $\{0,1,2,3\}$, with $f(0) = \theta_0, f(1) = \theta_1$, etc.
- This framing actually makes your conjecture accessible with stuff you probably already know, if you think back to calculus. But you explicitly didn't ask for a solution to your problem, so I'll not say more.
#2: Post edited
by
Artisian
·
2023-06-22T18:18:40Z (over 1 year ago)
fixed my delta!
- I would describe your function $s$ is the (absolute value of) the discrete derivative of functions on 4 points, arranged cyclically. This is a special case of a bunch similar functions, often denoted like this:
$\delta_h f = f(x+h) - f(x),$- for various h and kinds of functions/domains/ranges.
- The vectors you're looking at can be thought of as specifying a function on $\{0,1,2,3\}$, with $f(0) = \theta_0, f(1) = \theta_1$, etc.
- This framing actually makes your conjecture accessible with stuff you probably already know, if you think back to calculus. But you explicitly didn't ask for a solution to your problem, so I'll not say more.
- I would describe your function $s$ is the (absolute value of) the discrete derivative of functions on 4 points, arranged cyclically. This is a special case of a bunch similar functions, often denoted like this:
- $\Delta_h f = f(x+h) - f(x),$
- for various h and kinds of functions/domains/ranges.
- The vectors you're looking at can be thought of as specifying a function on $\{0,1,2,3\}$, with $f(0) = \theta_0, f(1) = \theta_1$, etc.
- This framing actually makes your conjecture accessible with stuff you probably already know, if you think back to calculus. But you explicitly didn't ask for a solution to your problem, so I'll not say more.
#1: Initial revision
by
Artisian
·
2023-06-22T18:18:14Z (over 1 year ago)
I would describe your function $s$ is the (absolute value of) the discrete derivative of functions on 4 points, arranged cyclically. This is a special case of a bunch similar functions, often denoted like this:
$\delta_h f = f(x+h) - f(x),$
for various h and kinds of functions/domains/ranges.
The vectors you're looking at can be thought of as specifying a function on $\{0,1,2,3\}$, with $f(0) = \theta_0, f(1) = \theta_1$, etc.
This framing actually makes your conjecture accessible with stuff you probably already know, if you think back to calculus. But you explicitly didn't ask for a solution to your problem, so I'll not say more.