Quy Nhon University

Exact invariant computations and Singer's conjecture for three degree families in rank four

W. Singer's conjecture asserts that the algebraic transfer is injective in every bidegree. In this article, we establish this conjecture in rank four for the three infinite families of degrees $5\cdot2^r-2$, $17\cdot2^r-2$, and $2^{r+s+u}+2^{r+s}+2^s-3$, with all parameters posit...

Exact invariant computations and Singer's conjecture for three degree families in rank four

W. Singer's conjecture asserts that the algebraic transfer is injective in every bidegree. In this article, we establish this conjecture in rank four for the three infinite families of degrees $5\cdot2^r-2$, $17\cdot2^r-2$, and $2^{r+s+u}+2^{r+s}+2^s-3$, with all parameters posit...

Exact invariant computations and Singer's conjecture for three degree families in rank four

W. Singer's conjecture asserts that the algebraic transfer is injective in every bidegree. In this article, we establish this conjecture in rank four for the three infinite families of degrees $5\cdot2^r-2$, $17\cdot2^r-2$, and $2^{r+s+u}+2^{r+s}+2^s-3$, with all parameters posit...

Exact invariant computations and Singer's conjecture for three degree families in rank four

W. Singer's conjecture asserts that the algebraic transfer is injective in every bidegree. In this article, we establish this conjecture in rank four for the three infinite families of degrees $5\cdot2^r-2$, $17\cdot2^r-2$, and $2^{r+s+u}+2^{r+s}+2^s-3$, with all parameters posit...

Exact invariant computations and Singer's conjecture for three degree families in rank four

W. Singer's conjecture asserts that the algebraic transfer is injective in every bidegree. In this article, we establish this conjecture in rank four for the three infinite families of degrees $5\cdot2^r-2$, $17\cdot2^r-2$, and $2^{r+s+u}+2^{r+s}+2^s-3$, with all parameters posit...

Explicit cohit bases in the five-variable degrees $3\cdot2^s-3$

The Peterson hit problem, which asks for a minimal generating set of the polynomial algebra over the mod-$2$ Steenrod algebra, remains notoriously open for $k \geq 5$ variables. A fundamental reduction strategy narrows the problem to generic degree families $n$ satisfying the con...

SCADA-based feature analysis and Bayesian-optimized machine learning for short-term turbine-level wind power forecasting

Most wind power forecasting studies rely primarily on historical turbine output time series, while environmental and operational parameters remain insufficiently explored. This paper investigates short-term turbine-level wind power forecasting using SCADA data collected from a wi...