A Leaf in the Stream and Sad Song

Includes: A Leaf in the Stream , by Betty Davenport and Sad Song , by Jane Beure

Davenport Rally Speech

Speech for campaign rally in Davenport, IA, October, 13, 1984.https://ir.lawnet.fordham.edu/vice_presidential_campaign_speeches_1984/1047/thumbnail.jp

Multivariate Davenport series

We consider series of the form $\sum a_n \{n\cdot x\}$, where $n\in\Z^{d}$ and $\{x\}$ is the sawtooth function. They are the natural multivariate extension of Davenport series. Their global (Sobolev) and pointwise regularity are studied and their multifractal properties are derived. Finally, we list some open problems which concern the study of these series.Comment: 43 page

Davenport constant with weights

For the cyclic group $G=\mathbb{Z}/n\mathbb{Z}$ and any non-empty $A\in\mathbb{Z}$. We define the Davenport constant of $G$ with weight $A$, denoted by $D_A(n)$, to be the least natural number $k$ such that for any sequence $(x_1, ..., x_k)$ with $x_i\in G$, there exists a non-empty subsequence $(x_{j_1}, ..., x_{j_l})$ and $a_1, ..., a_l\in A$ such that $\sum_{i=1}^l a_ix_{j_i} = 0$. Similarly, we define the constant $E_A(n)$ to be the least $t\in\mathbb{N}$ such that for all sequences $(x_1, >..., x_t)$ with $x_i \in G$, there exist indices $j_1, ..., j_n\in\mathbb{N}, 1\leq j_1 <... < j_n\leq t$, and $\vartheta_1, >..., \vartheta_n\in A$ with $\sum^{n}_{i=1} \vartheta_ix_{j_i} = 0$. In the present paper, we show that $E_A(n)=D_A(n)+n-1$. This solve the problem raised by Adhikari and Rath \cite{ar06}, Adhikari and Chen \cite{ac08}, Thangadurai \cite{th07} and Griffiths \cite{gr08}.Comment: 6page

Excerpts from Freshman Themes

Themes Include: Night Scene by, Maxine Peters; Beware of the Bovines! by, Maxine Peters; On Being Nineteen by, Betty Davenport; Smart Fish by, Nelson Collins; and Artistic Indianapolis by, Jane Colsher

Review of the Davenport Promise Concept

The Davenport Promise would provide college scholarships for students living in the City of Davenport. The scholarship can be used to attend any accredited vocational training institute, college, or university of the student\u27s choice. This report provides estimates of the potential fiscal impact of the Davenport Promise on the City of Davenport and the Davenport Public Schools under several alternative scenarios