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Our goal is to show that both the fast and slow versions of the triangle map (a type of multi-dimensional continued fraction algorithm) in dimension n are ergodic, resolving a conjecture of Messaoudi, Noguiera, and Schweiger [Ergodic properties of triangle partitions. Monatsh. Math.157 (2009), 283–299]. This particular type of higher dimensional multi-dimensional continued fraction algorithm has recently been linked to the study of partition numbers, with the result that the underlying dynamics has combinatorial implications.
A small conference was held in New York on March 19 to 20, 1964, concerning the general position of the teaching of African Languages in the United States at the present moment.
The conference, called at the joint request of the National Defense Education Act Language and Area Centers and Columbia University's Institute of African Studies, was attended by the directors and teachers of African language of the major centers of African studies in the United States.
In the course of the two-day meeting the directors reported in some detail on the position of African language teaching in their respective universities and a number of clarifications of NDEA policy were presented by Mr. Donald Bigelow.
The question of a summer session on African languages was discussed at length and a variety of suggestions were offered for possible changes in the format of the existing summer session sponsored by NDEA. In this connection, a resolution was passed urging the establishment of a summer Institute of African Languages, to be located at a permanent site, and under the sponsorship of the African Studies Association.
The successful colonization of invasive plants (IPs) may be facilitated by their nutrient release during decomposition, which alters soil physicochemical properties, enzyme activities, microbial metabolic processes and the diversity of soil microorganisms. This study aimed to examine the effects of co-decomposition of four Asteraceae IPs (Conyza canadensis, Conyza sumatrensis, Erigeron annuus and Solidago canadensis) along a gradient of invasion and a native plant (Pterocypsela laciniata) on decomposition rate, soil physicochemical properties, soil enzyme activities and the diversity of soil bacterial communities (SBCs). Leaves of C. canadensis with heavy invasion and S. canadensis with light and heavy invasion decomposed more slowly than P. laciniata. Leaves of C. canadensis with full invasion decomposed more rapidly than P. laciniata. Pterocypsela laciniata and C. sumatrensis had synergistic effects on each other’s decomposition, whereas P. laciniata and S. canadensis displayed an antagonistic effect. Decomposition of the four IPs increased soil microbial carbon content but reduced soil fluorescein diacetate (FDA) hydrolase activity compared to P. laciniata. Thus, invasion degree and species identity of IPs modulate the effects of the four IPs on the decomposition rate, mixed-effect intensity of co-decomposition, soil microbial carbon content, soil FDA hydrolase activity and SBC structure.
An experimental study was conducted to investigate the impingement of a vortex ring onto a porous wall by laser-induced fluorescence and particle image velocimetry. The effects of different Reynolds numbers (${{Re}}_{\it\Gamma } = 700$ and $1800$) and hole diameters ($d_{h}^{*} = 0.067$, $0.10$, $0.133$ and $0.20$) on the flow characteristics were examined at a constant porosity ($\phi = 0.75$). To characterise fluid transport through a porous wall, we recall the model proposed by Naaktgeboren, Krueger & Lage (2012, J. Fluid Mech., vol. 707, 260–286), which shows rough agreement with the experimental results due to the absence of vortex ring characteristics. This highlights the need for a more accurate model to correlate the losses in kinetic energy ($\Delta E^{*}$) and impulse ($\Delta I^{*}$) resulting from the vortex ring–porous wall interaction. Starting from Lamb’s vortex ring model and considering the flow transition from the upstream laminar state to the downstream turbulent state caused by the porous wall disturbance, a new model is derived theoretically: $\Delta E^{*} = 1 - k(1 - \Delta I^{*})^2$, where $k$ is a parameter dependent on the dimensionless core radius $\varepsilon$, with $k = 1$ when no flow state change occurs. This new model effectively correlates $\Delta E^{*}$ and $\Delta I^{*}$ across more than 70 cases from current and previous experiments, capturing the dominant flow physics of the vortex ring–porous wall interaction.
The following highly selective list was compiled for presentation at the October 1964 meeting of the African Studies Association's Libraries-Archives Committee in Chicago. It was designed to illustrate preliminary findings of the ASA's National African Guide Project in the area of private (i.e., nongovernmental) papers, and particularly to emphasize their wide variety and distribution. The entries, by individuals and organizations, are grouped under the following broad “activity” categories: Politicians; Diplomats; Naval Officers; Humanitarians; Missionaries; Businessmen and Businesses; Authors, Journalists, and Travelers; and Scholars and Scientists. In several cases there is a further breakdown into subcategories. Within their respective categories or subcategories the entries are arranged alphabetically. An effort has been made throughout this list to complement--rather than duplicate--the coverage of the Collins and Duignan guide,Americans in Africa (Stanford, Calif., Hoover Institution, 1963).
The 2024 Noto Peninsula earthquake forced many residents to evacuate to Special Needs Shelters (SNS)—facilities designed to accept individuals requiring special consideration, such as older adults and those with sensory disabilities. This case report describes a woman in her 90s with untreated cataracts and hearing loss, who was neglected and abused by her son. After evacuation, she was diagnosed with cataracts at the shelter and referred for surgery, significantly improving her vision and her ability to undertake activities of daily living. SNS can serve as a gateway to medical services for those deprived of adequate health care. Integrating medical services into disaster response plans and deploying professionals at these shelters is crucial for improving health outcomes and quality of life for vulnerable individuals. This case highlights how appropriate shelter services with seamless medical care connections can enhance evacuees’ long-term well-being beyond the immediate disaster response.
On the evening of March 20, 1828, a group of free men of color organized a society that had as its purpose “the mental improvement of the people of color in the neighborhood of Philadelphia.” This organization was to be known as the “Reading Room Society.” Immediately a library was established and the librarian instructed to lend books to members for no longer than a week. Books were to be withdrawn or returned at the society's weekly meeting. Freedoms Journal, the earliest Negro newspaper, the first issue of which appeared in March, 1827, and Lundy's Genius of Universal Emancipation, an antislavery publication, were among the first works circulated. In May, 1833, the Philadelphia Library Company of Colored Persons appealed for “such books and other donations as will facilitate the object of this institution.” By 1838, this library had 600 volumes. Since Negroes could not enjoy the same privileges as whites in libraries, they established for themselves some 45 literary societies between 1828 and 1846 in several large cities, mainly in the East, most of which maintained reading rooms and circulating libraries.
As a consequence of these activities many Negroes were stimulated to assemble private libraries. In 1838, in Philadelphia and nearby cities, there were 8333 volumes in private libraries. In New York City, David Ruggles, a Negro abolitionist, pamphleteer, and printer, was probably the first Negro book collector. He maintained a circulating library and made antislavery and colonization publications available to many readers. He charged a fee of less than twenty-five cents a month for renting books relating to the Negro and slavery.