@MathMath901

∀x ∈ ℝ, (eˣ)' = eˣ

Earth
Joined January 2022
#math problem 23-07-2026 🖥️ The Exit Algorithm: Given the INPUT (the board) and the RULES, determine whether you: • Can reach the EXIT. • Conclude that no valid path to the EXIT exists. Don't assume the correct path is the obvious one. You may find a solution that seems counterintuitive, as long as it never violates the RULES.
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This post....a function
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This post....a function
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Prime numbers when in the configuration of my counterflow exchange twin prime model, expose not just it’s pattern but its musical accompaniment What’s the secret of primes without a little musical flair yknow? Now, with thanks to @anish2good I was able to get it into a musical form! Still working on understanding phases, but I do believe the ratios I found before are actually part of the measures Regardless, I applied the pattern as pictured with 5 being the central G (represented by a Treble Clef) and the steps between determine whether it is a quarter, half, whole, whole+half, or the whole enchilada (the 7) It also seems to clue in and expose how Riemann trivial zeroes fit into the function with the trivial zeroes representing the counterflow gaps that must be maintained up and down between the (next beginning prime minus the previous end prime) and the (next end prime minus the previous end prime) While the complicated zeroes appear to have close correlation to the total gap between a segment/measure which explains why it lands directly at 1/2 or close That’s because its hit the Harmonic Field and since each segment is a closed resonant segment (with 1 entrance and escape hatch) it is at 1/2 because it’s resting on the fundamental wave node in order to drop down a level or be propelled up to the next one
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Current Progress on the Twin Prime Counterflow Model Right now contrasting new information and adding new models Still working on more additional models, but fleshing those out is taking longer Adding: Mod 9 which splits into further groups and seems to identify a new half inversion point (unknown connotations expanding model further) Expanding the amount of the twin prime counterflow segments (I self refer to them as the Harmonic field and Harmonic segments, stating in case I accidentally switch references) Currently the mod 9 seems to showcase how the end prime of the previous segment must match up to the beginning of the next segment counterflow style still top right to bottom left Does not correlate to end digit, scale only to this model type Overlap 2~ still unknown why that’s critically important Also apparently if you do the mod 9, divide it by 10, then minus by the original prime you get the mod 9 number, which is probably already known in math and I’d love to know why that happens All and any input is always appreciated!
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To everyone, I can’t promise to understand but I would love to hear from anyone that has a moment✨
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Green Area =32
Green area = ?
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Copy Post following text in Google to get all Integral Calculus Books "Free Integral Calculus Textbooks & Solutions FreeMathematicsBooks.com"
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Finally an “easy” one. Though I cheated and wrote it in Python and ran it over n with a counter. It’s what I would have guessed.
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45°
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You can use logaritmhs and calculs to prove it.
Replying to @MathMath901
You’re asking us to prove a result over the natural numbers without induction. Remind me how you define the natural numbers? 😂😂
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I intuitively know Big Oh and Θ for these, but expressing as a function of n leads to some wild summation problems. I think that’s basically the lesson.
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How do you know what nature wants?
the downsides of going slow are worse than the downsides of going faster. nature wants you to accelerate. there's no reason to be careful.
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You can use logaritmhs and calculs to prove it.
Replying to @MathMath901
You’re asking us to prove a result over the natural numbers without induction. Remind me how you define the natural numbers? 😂😂
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#math Gauss analyzed the frequency with which prime numbers appear in the sequence of natural numbers; he designated the number of primes less than a given number x as the function π(x). He created a table in which the last column represents the average distance between prime numbers within a certain interval. Gauss then reasoned that, as x approaches very large values, x/π(x) tends toward ln(x); therefore: π(x) ≈ x/ln(x) This conjecture would be proven true a hundred years later.
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What this number mean? 2345678901 Found them on each book from Schaum series.
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There is an error in the logarithm function graph.
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How do you know what nature wants?
the downsides of going slow are worse than the downsides of going faster. nature wants you to accelerate. there's no reason to be careful.
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