The Effect Of Styrofoam As An Additive In Laston Lapis Aus Mixture

Styrofoam is waste from the disposal of electronic material buffers. This waste can be found in several main places in electronic store warehouses. This study aims to determine the value of the characteristics of the mixture of Laston Lapis Aus the effect of Styrofoam as an additive on the characteristics of the mixture of Laston Lapis Aus which uses the Malili river aggregate and Styrofoam as an added material through testing. The method used is the Conventional Marshall Method which tests and analyzes the characteristics of the mixture. The results showed the characteristics of the Laston Lapis Aus mixture using Malili River Stone and Styrofoam as added materials. Through Marshall test testing, the mixed characteristic values, namely stability, flow, VIM, VMA, and VFB all met the General Specifications of Highways 2018. The effect of adding Styrofoam to the mixture Laston Lapis Aus is able to fill voids in the mixture which makes the voids smaller, making the bonds between the aggregates stronger so that with the addition of Styrofoam the mixture becomes more water-resistant/resistant to water, weather and traffic loads.

Characteristic-free test ideals

Tight closure test ideals have been central to the classification of singularities in rings of characteristic p > 0 p>0 , and via reduction to characteristic p > 0 p>0 , in equal characteristic 0 as well. Their properties and applications have been described by Schwede and Tucker [Progress in commutative algebra 2, Walter de Gruyter, Berlin, 2012]. In this paper, we extend the notion of a test ideal to arbitrary closure operations, particularly those coming from big Cohen-Macaulay modules and algebras, and prove that it shares key properties of tight closure test ideals. Our main results show how these test ideals can be used to give a characteristic-free classification of singularities, including a few specific results on the mixed characteristic case. We also compute examples of these test ideals.

Non-archimedean hyperbolicity and applications

Inspired by the work of Cherry, we introduce and study a new notion of Brody hyperbolicity for rigid analytic varieties over a non-archimedean field K of characteristic zero. We use this notion of hyperbolicity to show the following algebraic statement: if a projective variety admits a non-constant morphism from an abelian variety, then so does any specialization of it. As an application of this result, we show that the moduli space of abelian varieties is K-analytically Brody hyperbolic in equal characteristic 0. These two results are predicted by the Green–Griffiths–Lang conjecture on hyperbolic varieties and its natural analogues for non-archimedean hyperbolicity. Finally, we use Scholze’s uniformization theorem to prove that the aforementioned moduli space satisfies a non-archimedean analogue of the “Theorem of the Fixed Part” in mixed characteristic.

On -local

We discuss some general properties of $\mathrm {TR}$ and its $K(1)$ -localization. We prove that after $K(1)$ -localization, $\mathrm {TR}$ of $H\mathbb {Z}$ -algebras is a truncating invariant in the Land–Tamme sense, and deduce $h$ -descent results. We show that for regular rings in mixed characteristic, $\mathrm {TR}$ is asymptotically $K(1)$ -local, extending results of Hesselholt and Madsen. As an application of these methods and recent advances in the theory of cyclotomic spectra, we construct an analog of Thomason's spectral sequence relating $K(1)$ -local $K$ -theory and étale cohomology for $K(1)$ -local $\mathrm {TR}$ .