Reflection principles (or dually speaking, compactness principles) often give rise to combinatorial guessing principles. Uniformization properties, on the other hand, are examples of anti-guessing We discuss tension and compatibility between reflection uniformization properties at level second uncountable cardinal.

In this paper we extend different reasoning methods from traditional (demonic) programs to programs with both demonic and angelic nondeterminism. In particular, we discuss correctness proofs, and refinement of programs while reducing angelic nondeterminism (into demonic nondeterminism or determinism). As expected, reducing angelic nondeterminism is generally not a refinement; however, when cont...

R is called commuting regular ring (resp. semigroup) if for each x,y $in$ R there exists a $in$ R such that xy = yxayx. In this paper, we introduce the concept of commuting $pi$-regular rings (resp. semigroups) and study various properties of them.

The relationship between arbuscular mycorrhizal fungi (AMF) and their associated bacteriacan be has great importance for sustainable agriculture especially in the case of highlymycorrhizal plants such as linseed. To evaluate the possible effect of AMF in association withphosphate solubilizing bacteria (PSB) on linseed plants, a 2-yr factorial experiment wasconducted based on a randomized comple...

T are 9.2 million people who are eligible for both Medicare and Medicaid. They’re eligible for both programs either because they are younger than 65 years of age, disabled, and poor or because they are 65 or older and are poor or have exhausted their nonhousing assets paying for health care. These dually eligible program participants make up about 20% of Medicare beneficiaries and about 17% of ...

Biomimetic Photomodulable Bactericidal Nanozyme Exploration of bactericidal nanozymes with simultaneously high biofilm penetration and bacterial capture capacities is crucial yet challenging for combating infections. In article number 2301694, Guang Liang, Fangyuan Li, Daishun Ling, co-workers report a biomimetic photomodulable nanozyme dually enhanced capacities. Notably, the catalytic activit...