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#decomposition

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#decomposition : the decay or dissolution consequent on the removal or alteration of some of the ingredients of a compound

- French: décomposition

- Italian: decomposizione

- Portuguese: decomposição

- Spanish: descomposición

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A comprehensive analysis shows that the permafrost area of Northern Hemisphere may have shifted from a sink to a source of #greenhouse gases, bringing a longtime prediction to fruition.

Historically, the #permafrost region has been a sink for carbon, as frozen soils inhibit microbial #decomposition.

But rising temperatures contribute to thawing permafrost and enhance the biogeochemical activities that exacerbate #climate change by releasing greenhouse gases.

eos.org/research-spotlights/no

Eos · Northern Permafrost Region Emits More Greenhouse Gases Than It CapturesBy Saima May Sidik

#decompwlj ➡️ It's a decomposition of positive integers. The weight is the smallest such that in the Euclidean division of a number by its weight, the remainder is the jump (first difference, gap). The quotient will be the level. So to decompose a(n), we need a(n+1) with a(n+1)>a(n) (strictly increasing sequence), the decomposition is possible if a(n+1)<3/2×a(n) and we have the unique decomposition a(n) = weight × level + jump.

We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. For natural numbers, the weight is the smallest prime factor of (n-1) and the level is the largest proper divisor of (n-1). Natural numbers classified by level are the (primes + 1) and natural numbers classified by weight are the (composites +1).

For prime numbers, this decomposition led to a new classification of primes. Primes classified by weight follow Legendre conjecture and i conjecture that primes classified by level rarefy. I think this conjecture is very important for the distribution of primes.

It's easy to see and prove that lesser of twin primes (>3) have a weight of 3. So the twin primes conjecture can be rewritten: there are infinitely many primes that have a weight of 3.

I am not mathematician so i decompose sequences to promote my vision of numbers. By doing these decompositions, i apply a kind of sieve on each sequences.

➡️ oeis.org/wiki/Decomposition_in

Replied to Nonilex

His time in the #Senate had left Romney worried—not just about the #decomposition of his own political party, but about the fate of the #American project itself.

…“A man gets some people around him and begins to #oppress & #dominate others,” he said…. “It’s a testosterone-related phenomenon, perhaps. I don’t know. But in the history of the world, that’s what happens.” America’s experiment in self-rule “is fighting against human nature.”