Canonical fragments of the strong reflection principle

For an arbitrary forcing class [Formula: see text], the [Formula: see text]-fragment of Todorčević’s strong reflection principle SRP is isolated in such a way that (1) the forcing axiom for [Formula: see text] implies the [Formula: see text]-fragment of SRP , (2) the stationary set preserving fragment of SRP is the full principle SRP , and (3) the subcomplete fragment of SRP implies the major consequences of the subcomplete forcing axiom. This fragment of SRP is consistent with CH , and even with Jensen’s principle [Formula: see text]. Along the way, some hitherto unknown effects of (the subcomplete fragment of) SRP on mutual stationarity are explored, and some limitations to the extent to which fragments of SRP may capture the effects of their corresponding forcing axioms are established.

Sigma-Prikry forcing II: Iteration Scheme

In Part I of this series [5], we introduced a class of notions of forcing which we call [Formula: see text]-Prikry, and showed that many of the known Prikry-type notions of forcing that centers around singular cardinals of countable cofinality are [Formula: see text]-Prikry. We proved that given a [Formula: see text]-Prikry poset [Formula: see text] and a [Formula: see text]-name for a nonreflecting stationary set [Formula: see text], there exists a corresponding [Formula: see text]-Prikry poset that projects to [Formula: see text] and kills the stationarity of [Formula: see text]. In this paper, we develop a general scheme for iterating [Formula: see text]-Prikry posets, as well as verify that the Extender-based Prikry forcing is [Formula: see text]-Prikry. As an application, we blow-up the power of a countable limit of Laver-indestructible supercompact cardinals, and then iteratively kill all nonreflecting stationary subsets of its successor. This yields a model in which the singular cardinal hypothesis fails and simultaneous reflection of finite families of stationary sets holds.

Pembuatan Identitas Perusahaan Pembuat Kontainer Kafe Vessels

Vessels merupakan perusahaan jasa modifikasi pembuatan kontainer kafe sekaligus menyediakan training terhadap sumber daya manusia perancangan kontainer kafe. Perusahaan Vessels masih tergolong baru, berdiri sejak 2018, dan belum memiliki identitas perusahaan seperti logo. Untuk itu dirancang identitas perusahaan yang juga meliputi pengaplikasian logo pada stationary set, business documents, uniform, vehicle dan company profile. Perancangan yang telah menghasilkan identitas perusahaan tersebut disambut baik oleh pemilik Vessels. Pemilik merasa nyaman dan percaya diri dengan adanya visualisasi identitas perusahaan. Pemilik Vessels memilih tiga sketsa yang dibuat perancang karya. Logo yang dipilih merupakan logo yang merepresentasikan dirinya dan perusahaan Vessels.

Transformations of the transfinite plane

We study the existence of transformations of the transfinite plane that allow one to reduce Ramsey-theoretic statements concerning uncountable Abelian groups into classical partition relations for uncountable cardinals. To exemplify: we prove that for every inaccessible cardinal $\kappa $ , if $\kappa $ admits a stationary set that does not reflect at inaccessibles, then the classical negative partition relation $\kappa \nrightarrow [\kappa ]^2_\kappa $ implies that for every Abelian group $(G,+)$ of size $\kappa $ , there exists a map $f:G\rightarrow G$ such that for every $X\subseteq G$ of size $\kappa $ and every $g\in G$ , there exist $x\neq y$ in X such that $f(x+y)=g$ .

Condition Rating Prediction Using an Interactive Deterioration Model Development Package

This paper presents an advanced method to determine explanatory variables required for developing deterioration models without the interference of human bias. Although a stationary set of explanatory variables is ideal for long-term monitoring and asset management, the penalty regression results vary annually due to the innate bias in the inspection data. In this study, weighting factors were introduced to consider the inspection data collected for several years, and the most stationary set was identified. To manage the substantial amount of inspection data effectively, we proposed a software package referred to as the Deterioration Model Development Package (DMDP). The objective of the DMDP is to provide a convenient platform for users to process and investigate bridge inspection data. Using the standardized data interpretation, the user can update an initial dataset for the deterioration model development when new inspection data are archived. The deterministic method and several stochastic approaches were included for the development of the deterioration models. The performances of the investigated methods were evaluated by estimating the error between the predicted and inspected condition ratings; further, this error was used for estimating the most effective number of explanatory variables for a given number of bridges.

Sigma-Prikry forcing I: The Axioms

We introduce a class of notions of forcing which we call $\Sigma $ -Prikry, and show that many of the known Prikry-type notions of forcing that centers around singular cardinals of countable cofinality are $\Sigma $ -Prikry. We show that given a $\Sigma $ -Prikry poset $\mathbb P$ and a name for a non-reflecting stationary set T, there exists a corresponding $\Sigma $ -Prikry poset that projects to $\mathbb P$ and kills the stationarity of T. Then, in a sequel to this paper, we develop an iteration scheme for $\Sigma $ -Prikry posets. Putting the two works together, we obtain a proof of the following. Theorem. If $\kappa $ is the limit of a countable increasing sequence of supercompact cardinals, then there exists a forcing extension in which $\kappa $ remains a strong limit cardinal, every finite collection of stationary subsets of $\kappa ^+$ reflects simultaneously, and $2^\kappa =\kappa ^{++}$ .

Condition Absolute Stability Control System of Electromagnetoelastic Actuator for Communication Equipment

We obtained the condition absolute stability on the derivative for the control system of electromagnetoelastic actuator for communication equipment. We applied the frequency methods for Lyapunov stable control system to calculate the condition absolute stability control system of electromagnetoelastic actuator. We used Yakubovich criterion absolute stability system with the condition on the derivative. The aim of this work is to determine the condition of the absolute stability on the derivative for the control system of electromagnetoelastic actuator. We received the stationary set of the control system of the hysteresis deformation of the electromagnetoelastic actuator. The stationary set is the segment of the straight line.

PERANCANGAN IDENTITAS DAN PROFIL PERUSAHAAN KAFE KONTAINER VESSELS

Vessels merupakan jasa modifikasi dalam pembuatan kafe kontainer serta dapat menyediakan training terhadap sumber daya manusia. Perusahaan Vessels masih tergolong perusahaan baru yang berdiri sejak 2018, dikarenakan perusahaan Vessels masih tergolong baru, maka Vessels belum memiliki identitas perusahaan seperti logo. Perancangan identitas perusahaan juga meliputi dalam pengaplikasian logo terhadap media visual yang dibutuhkan seperti stationary set, business documents, uniform, vehicle dan company profile. Perancan- gan identitas perusahaan dibuat melalui langkah-langkah dari Alina Wheeler.

Perancangan Identitas dan Profil Perusahaan Kafe Kontainer Vessel

Vessels merupakan jasa modifikasi dalam pembuatan kafe kontainer serta dapat menyediakan training terhadap sumber daya manusia. Perusahaan Vessels masih tergolong perusahaan baru yang berdiri sejak 2018, dikarenakan perusahaan Vessels masih tergolong baru, maka Vessels belum memiliki identitas perusahaan seperti logo. Perancangan identitas perusahaan juga meliputi dalam pengaplikasian logo terhadap media visual yang dibutuhkan seperti stationary set, business documents, uniform, vehicle dan company profile. Perancangan identitas perusahaan dibuat melalui langkah-langkah dari Alina Wheeler.