JJWilson

RIGOROUS CONSTRUCTION OF FOUR-DIMENSIONAL YANG–MILLS QUANTUM FIELD THEORY VIA GRIBOV–ZWANZIGER QUANTIZATION AND RENORMALIZATION GROUP ANALYSIS: MEASURE-THEORETIC FOUNDATIONS, SPECTRAL PROPERTIES, AND THE MASS GAP osf.io/preprints/osf/bgu6a_v… @ericweinstein

Nintendo Switch 2 games are not expensive quit playing victim when they have been even higher when we made less money.

Says the quite part out loud.

Trump had nothing to do with egg prices!! - Total Birds Euthanized Since 2022: Over 148 million birds, primarily egg-laying chickens, have been culled to prevent the spread of the highly pathogenic avian influenza (HPAI), commonly known as bird flu. Regarding the locations where the outbreaks started: - Initial Detection: The bird flu outbreak in this context was first detected in the United States in 2022. Specific states where early outbreaks were reported include: - Iowa and California have been highlighted as having significant numbers of affected birds, with Iowa being the top egg-producing state where massive culling occurred. - The virus has since spread across all 50 states and Puerto Rico, affecting both commercial and backyard flocks. - Data Points on Outbreak Locations: - By late 2024, both Iowa and California had reported significant impacts, with Iowa culling a massive flock of 4.2 million hens due to positive bird flu tests. - California declared a state of emergency in response to the bird flu affecting hundreds of dairies in the state. This information is based on reports from various sources indicating a widespread impact on the poultry industry, driving up egg prices due to reduced supply. The USDA, along with state agricultural departments, has been actively involved in managing the outbreak through culling to prevent further spread. For detailed data on specific locations and the progression of the outbreak, you would typically refer to USDA reports, but these are summarized here for clarity: - Egg prices began to surge in late 2022 due to this bird flu, with prices continuing to increase into 2025. - The outbreak's persistence and expansion can be attributed to migratory patterns of wild birds, which carry the virus, particularly during winter months.

Secretary of Defense, all you have to do is look up the qualifications of the past secretary, defense and see that some were just civilians. Some only held Sgt rank some held a captain rank so get off your high horse. 1.Lloyd J. Austin III (2021–2023) •Highest Rank: General (U.S. Army) •Leadership Experience: Commanded U.S. Central Command (CENTCOM), overseeing military operations across the Middle East, including the campaign against ISIS. 2.Mark T. Esper (2019–2020) •Highest Rank: Captain (U.S. Army) •Leadership Experience: Served as Secretary of the Army; prior to that, worked in defense industry and government positions. 3.James N. Mattis (2017–2019) •Highest Rank: General (U.S. Marine Corps) •Leadership Experience: Led U.S. Central Command, overseeing operations in the Middle East; commanded the 1st Marine Division during the Iraq War. 4.Ashton B. Carter (2015–2017) •Highest Rank: Civilian •Leadership Experience: Served as Deputy Secretary of Defense and Under Secretary of Defense for Acquisition, Technology, and Logistics. 5.Charles T. “Chuck” Hagel (2013–2015) •Highest Rank: Sergeant (U.S. Army) •Leadership Experience: Served as U.S. Senator from Nebraska; combat veteran of the Vietnam War. 6.Leon E. Panetta (2011–2013) •Highest Rank: Civilian •Leadership Experience: Served as Director of the Central Intelligence Agency (CIA); White House Chief of Staff; U.S. Representative from California. 7.Robert M. Gates (2006–2011) •Highest Rank: Civilian •Leadership Experience: Served as Director of the CIA; Deputy National Security Advisor. 8.Donald H. Rumsfeld (2001–2006) •Highest Rank: Lieutenant Commander (U.S. Navy Reserve) •Leadership Experience: Previously served as Secretary of Defense (1975–1977); White House Chief of Staff; U.S. Representative from Illinois. 9.William S. Cohen (1997–2001) •Highest Rank: Civilian •Leadership Experience: Served as U.S. Senator and Representative from Maine; member of the Senate Armed Services Committee. 10.William J. Perry (1994–1997) •Highest Rank: Civilian •Leadership Experience: Served as Deputy Secretary of Defense; Under Secretary of Defense for Research and Engineering.

Maryland, Indiana, New Jersey and New York. Alexandria toy drive.

October 29, 2006 Reggie Wayne had 3 tds with Adam Vinatieri having 4 fgs. Colts at Broncos. Tippecanoe County Humane Society

NINE! That’s all. For all those people calling for the abolishment of the electoral college realized then it goes by population, right. So then line the states up with the most population and see how many votes it would take in order to win the presidency without having to win all the states. Guess what that Answers nine. Meaning 41 other states would have no say so in the election, regardless of what they voted. So think of that next time.

My a rigorous proof of the optimal bound for the ABC conjecture using classical analytic number theory techniques, such as the large sieve inequality, prime counting functions, and exponential sums. I eliminate the reliance on modular forms and arithmetic geometry, instead leveraging sieve methods and bounds on distinct prime factors. With this approach, I prove the conjectured optimal bound: rad(ABC) < Kₑ · C¹⁺ᵋ for some constant Kₑ = Oₑ(1). Steps: 1. Establish a bound on the number of distinct prime factors dividing ABC, utilizing known results from prime counting functions. 2. Apply the large sieve inequality to control the contribution of prime divisors to rad(ABC). 3. Combine these results with an exponentiation step to derive the final bound on rad(ABC). Theorem: For any ε > 0, there exists a constant Kₑ > 0 such that for all coprime triples of positive integers (A, B, C) with A + B = C: rad(ABC) < Kₑ · C¹⁺ᵋ where Kₑ = Oₑ(1). Proof: Step 1: Bound on Distinct Prime Factors Let ω(n) denote the number of distinct primes dividing n. A classical result from number theory states that the number of distinct prime factors of any integer n satisfies the following asymptotic bound: ω(n) ≤ log n/log log n + O(1) This result can be derived from the Prime Number Theorem, which describes the distribution of primes among the integers. For the product ABC, there's the inequality: ω(ABC) ≤ log(ABC)/log log(ABC) + O(1) Since ABC ≤ C³ (because A + B = C and A, B ≤ C), it can further simplify: ω(ABC) ≤ 3 · log C/log log C + O(1) Thus, the number of distinct prime factors of ABC grows logarithmically in C. Step 2: Large Sieve Inequality The only interest is in bounding the sum of the logarithms of primes dividing ABC. Let Λ(p) denote the von Mangoldt function, which equals log p if p is prime and zero otherwise. Applying the large sieve inequality, the result is: Σₚ|rad(ABC) Λ(p) ≤ (1 + ε)log C + Oₑ(1) This inequality ensures that the sum of the logarithms of the primes dividing ABC is bounded by log C, with a small error term depending on ε. The large sieve inequality plays a crucial role in limiting the contribution of large primes to the radical of ABC. Step 3: Exponentiation of the Prime Bound Once there's the bounded sum of the logarithms of the primes dividing ABC, exponentiate this result to recover a bound on rad(ABC). From Step 2, it’s known that: Σₚ|rad(ABC) log p ≤ (1 + ε)log C + Oₑ(1) Make this more precise by noting that the Oₑ(1) term is actually bounded by 3log(1/ε) for small ε. This follows from a more careful analysis of the large sieve inequality. Thus, there's: Σₚ|rad(ABC) log p ≤ (1 + ε)log C + 3log(1/ε) Exponentiating both sides gives: rad(ABC) ≤ C¹⁺ᵋ · (1/ε)³ Simplify this further by noting that for x > 0, (1/x)³ < e^(1/x). Applying this to our inequality: rad(ABC) ≤ C¹⁺ᵋ · e^(1/ε) Now, define our constant Kₑ: Kₑ = e^(1/ε) To ensure that the bound holds for all C, account for small values of C. Analysis shows multiplying the constant by 3 is sufficient. Thus, the final constant is: Kₑ = 3e^(1/ε) = (3e)^(1/ε) Therefore, it's obtained: rad(ABC) ≤ Kₑ · C¹⁺ᵋ where Kₑ = (3e)^(1/ε). Now proving that: rad(ABC) < Kₑ · C¹⁺ᵋ where the constant Kₑ = (3e)^(1/ε) depends only on ε.

Playing the Texans on 11/4/04 Bob Sanders & Von Hutchins. @JimIrsay

This isn’t natural.

doi.org/10.31219/osf.io/bgu6… @ericweinstein @ASYNSIS @TOEwithCurt @neiltyson

Dark energy according to my Unified Geometric Condensate Theory @TOEwithCurt @neiltyson @ASYNSIS @ericweinstein