/sci/ - Science & Math

>>15927253
50%

>>15927253
0%

>>15927253
100%

>>15927253
i%

>>15927253
There is no "probability", there either is a 0 off the line or there isn't. We could assert (without proof) that the RH is true based on how many 0s we've looked at and none of them were off the line, but it's only an assertion.

>>15927253
if the twin prime conjecture is proven the riemann zeta function proof will follow

>>15927292
>the coin is either heads or tails before we uncover it so probability doesn't apply

>>15927311
Doesn't work that way. The 0s aren't random, they don't change when you re compute the function.

>>15927351
Would that imply that probability can't be applied to the output of any function? which would be true of basically any application of probability. Baby, bathwater...

>>15927373
OP didn't describe a finite interval on which to define probability. Maybe if he were to talk about an open subset [math](0, 1) \times(0, n)[/math] you can define probability, but you can't say anything about an infinite interval.

100%, and if you mean *non-trivial* zeros, that's also 100%.

Fractional Distance: The Topology of the Real Number Line with Applications to the Riemann Hypothesis
>https://vixra.org/abs/2111.0072
>http://gg762.net/d0cs/papers/Fractional_Distance_v8-20230808.pdf
Recent analysis has uncovered a broad swath of rarely considered real numbers called real numbers in the neighborhood of infinity. Here we extend the catalog of the rudimentary analytical properties of all real numbers by defining a set of fractional distance functions on the real number line and studying their behavior. The main results of are (1) to prove with modest axioms that some real numbers are greater than any natural number, (2) to develop a technique for taking a limit at infinity via the ordinary Cauchy definition reliant on the classical epsilon-delta formalism, and (3) to demonstrate an infinite number of non-trivial zeros of the Riemann zeta function in the neighborhood of infinity. We define numbers in the neighborhood of infinity as Cartesian products of Cauchy equivalence classes of rationals. We axiomatize the arithmetic of such numbers, prove all the operations are well-defined, and then make comparisons to the similar axioms of a complete ordered field. After developing the many underlying foundations, we present a basis for a topology.

>>15927453
The probability that there exists an even real number in the real interval (-INF,INF) is 100%/

>>15927474
That's not how it works. You cant talk about probability on an infinite interval. You could say the natural density of the even numbers is 1/2. Natural density is the closest thing to infinite probability, but nobody has proven the natural density of the 0s on the critical line is more than 5/12s.

>>15927253
What are the chances you’re my son? Do you still wanna know the truth?