On the Best Accuracy Arguments for Probabilism

In a recent paper, Pettigrew (2021) reports a generalization of the celebrated accuracy-dominance theorem due to Predd et al. (2009). But Pettigrew’s proof is incorrect. I will explain the mistakes and provide a correct proof.

One remark on the inverse scattering problem for the perturbed Stark operator on the semiaxis

In the present paper, it is indicated that the proof of the main lemma is not valid, which relates to the inverse scattering problem for the perturbed Stark operator on the semiaxis. A correct proof of the mentioned lemma is given.

Kemampuan Mengkonstruksi Bukti Geometri Mahasiswa Calon Guru Matematika Pada Perkuliahan Geometri

This study aims to analyze and describe the ability to construct proofs of perspective teacher mathematics students in basic geometrical lectures on the concepts of alignment, triangles, and concordance of two triangles. This research uses a descriptive qualitative method involving 35 prospective mathematics students at the Universitas PGRI Semarang. This study uses a qualitative descriptive method involving 35 students. The results of this study show that: (1) 28% of students sketched diagrams and used geometric labels appropriately on the constructed evidence; (2) 28.57% of students have the correct initial step of proof; (3) 28.57% of students can determine the exact conjecture that leads to the correct proof; (4) 25.71% of students are correct in compiling proof arguments by the correct postulate and theorem; (5) 25.71% of the thought flow process used by coherent students leads to valid evidence; and (6) 22.86% of students mastered theorems and concepts used in compiling constructing proof.

Comments on “An Initial Study on the Relationship Between Meta Features of Dataset and the Initialization of NNRW”

<p>This paper comments on our recently published conference paper entitled "An Initial Study on the Relationship Between Meta Features of Dataset and the Initialization of NNRW".</p> We point out that the above-mentioned article has a typographical error in proving that using Gamma distribution to initialize NNRW is not a good choice, and give the corresponding correct proof.

Comments on “An Initial Study on the Relationship Between Meta Features of Dataset and the Initialization of NNRW”

<p>This paper comments on our recently published conference paper entitled "An Initial Study on the Relationship Between Meta Features of Dataset and the Initialization of NNRW".</p> We point out that the above-mentioned article has a typographical error in proving that using Gamma distribution to initialize NNRW is not a good choice, and give the corresponding correct proof.

Classification of Invariant Algebraic Curves and Nonexistence of Algebraic Limit Cycles in Quadratic Systems from Family (I) of the Chinese Classification

We give the complete classification of irreducible invariant algebraic curves in quadratic systems from family [Formula: see text] of the Chinese classification, that is, of differential system [Formula: see text] with [Formula: see text]. In addition, we provide a complete and correct proof of the nonexistence of algebraic limit cycles for these equations.

Normality Versus Paracompactness in Locally Compact Spaces

This note provides a correct proof of the result claimed by the second author that locally compact normal spaces are collectionwise Hausdorff in certain models obtained by forcing with a coherent Souslin tree. A novel feature of the proof is the use of saturation of the non-stationary ideal on ω1, as well as of a strong form of Chang's Conjecture. Together with other improvements, this enables the consistent characterization of locally compact hereditarily paracompact spaces as those locally compact, hereditarily normal spaces that do not include a copy of ω1.

ON A THEOREM OF KANG AND LIU ON FACTORISED GROUPS

Kang and Liu [‘On supersolvability of factorized finite groups’, Bull. Math. Sci.3 (2013), 205–210] investigate the structure of finite groups that are products of two supersoluble groups. The goal of this note is to give a correct proof of their main theorem.