16,472 research outputs found
Horace K. Whitney
No full textHorace K. Whitney (1823-1884) was an early Mormon pioneer, musician, printer, and type-setter for the Deseret News
Report on industrial attachment with Pratt & Whitney Services Pte Ltd
No full textThis report aims to cover the projects carried out by the author during his 22 week Industrial Attachment at Pratt & Whitney Services. The author was part of the Rotating Air Seal repair development team. He assisted in the Repair Process Launch Review preparation, which entails evaluating technical data, identifying critical to quality key product characteristics, evaulating capital requirements, identification of tooling requirements and creating summary of operations
Juvenalia, or How I came to own a Blu-Ray of Point Break
No full textAgony Klub and Publication Studio Vancouver are pleased to present Whitney Houston, vol. 2. A continuation of Whitney Houston, et. al., editor/author Casey Wei invites six writers to reflect on their relationship to popular music in film, keeping in mind that popular music has always been as much about the desire for an image as about the catchiness of a song. The resulting essays on Elliot Smith, Amélie, Real Genius, The Pixies, Drive, and The Conversation explore themes of time, love, and evolution.final article publishedReal Genius (1985
Check to P. K. Whitney
No full textCheck for $21.50 to P. K. Whitney from the Phoenix Grange.https://scholarsjunction.msstate.edu/mss-darden-papers/1076/thumbnail.jp
Dr. Whitney Wall- Veteran\u27s Mental Health Survey and Analysis
No full textDr. Whitney Wall speaks at the Chesnutt Library of Fayetteville State University about her recent work on a mental health survey of veterans and their needs.
Presented live on November 11, 2025 as part of Chesnutt Library\u27s Faculty Author Series.https://digitalcommons.uncfsu.edu/faculty_author/1023/thumbnail.jp
Check to P. K. Whitney
No full textCheck for $25 to P. K. Whitney and his wife for travel to the State Grange.https://scholarsjunction.msstate.edu/mss-darden-papers/1090/thumbnail.jp
Whitney Twins, Whitney Duals, and Operadic Partition Posets
No full textWe say that a pair of nonnegative integer sequences is Whitney-realizable if there exists a poset for
which (the absolute values) of the Whitney numbers of the first and second kind
are given by the numbers and respectively. The pair is said to be
Whitney-dualizable if, in addition, there exists another poset for which
their Whitney numbers of the first and second kind are instead given by
and respectively. In this case, we say that and are Whitney
duals. We use results on Whitney duality, recently developed by the first two
authors, to exhibit a family of sequences which allows for multiple
realizations and Whitney-dual realizations. More precisely, we study edge
labelings for the families of posets of pointed partitions
and weighted partitions which are associated to the operads
and respectively. The first author and Wachs
proved that these two families of posets share the same pair of Whitney
numbers. We find EW-labelings for and and use
them to show that they also share multiple nonisomorphic Whitney dual posets.
In addition to EW-labelings, we also find two new EL-labelings for
answering a question of Chapoton and Vallette. Using these
EL-labelings of , and an EL-labeling of introduced by
the first author and Wachs, we give combinatorial descriptions of bases for the
operads and . We
also show that the bases for and are PBW
bases.Comment: 37 pages, 20 figure
Duales de Whitney de posets operádicos
No full textThe notion of a Whitney dual for a graded partially ordered set (poset) with a minimum element has been introduced recently by Gonz\'alez D'Le\'on and Hallam with some interesting connections to other areas of algebra and combinatorics. We say that two posets are Whitney duals to each other if (the absolute value of) their Whitney numbers of the first and second kind are interchanged between the two posets. Some families of familiar posets such as the poset of partitions of the set have Whitney duals. This has been proved by defining a suitable edge labeling on the edges of the Hasse diagram of satisfying certain conditions. Such an edge labeling is called a Whitney labeling and Gonz\'alez D'Le\'on - Hallam proved that every graded poset that admits a Whitney labeling has a Whitney dual.
We study the Whitney duality property for two families of operadic posets, finding Whitney labelings and constructing combinatorial descriptions of their Whitney duals. One is known as the family of posets of weighted partitions , studied by Gonz\'alez D'Le\'on and Wachs related to the operad of commutative algebras with totally commutative products, and the other is the family of posets of pointed partitions , studied by Chapoton and Vallette associated to the operad of -algebras. We prove that a labeling, previously defined by Gonz\'alez D'Le\'on, for is a Whitney labeling and prove that its associated Whitney dual is a poset of colored Lyndon forests. We also find a Whitney labeling for and then use this labeling to show that its associated Whitney dual is a poset of pointed Lyndon forests. For the case , it turns out that the families and have the same Whitney numbers of the first and second kind. Our results imply that there are multiple non-isomorphic Whitney duals for these two families in this case.Título: Duales de Whitney de posets operadic.
González D'León y Hallam introdujeron recientemente la noción de duales de Whitney para un conjunto parcialmente ordenado (poset) graduado con un elemento mínimo con algunas conexiones interesantes a otras áreas del álgebra y la combinatoria. Decimos que dos posets son duales de Whitney entre sí, si (el valor absoluto de) sus números de Whitney del primer y segundo tipo se intercambian entre los dos posets. Algunas familias de posets familiares como el poset de particiones del conjunto tienen duales de Whitney. Esto se ha demostrado definiendo un etiquetamiento adecuado en las aristas del diagrama de Hasse de que satisface ciertas condiciones. A tal etiquetamiento de aristas se le llama etiquetamiento de Whitney y González D'León - Hallam demostraron que todo poset graduado que admite un etiquetamiento de Whitney tiene un dual de Whitney.
Estudiamos la propiedad de dualidad de Whitney para dos familias de posets operadicos, por medio de etiquetamientos de Whitney y de la construcción de descripciones combinatorias de sus duales de Whitney. Una de las familias es la familia de posets de particiones con pesos , estudiadas por González D'León y Wachs, relacionadas con el operad de álgebras conmutativas con productos totalmente conmutativos, y la otra es la familia de posets de particiones punteadas , estudiadas por Chapoton y Vallette asociadas al operad de -álgebras. Demostramos que un etiquetamiento, previamente definido por González D'León, para es un etiquetamiento de Whitney y demostramos que su dual de Whitney asociado es un poset de bosques de Lyndon coloreados. También encontramos un etiquetamiento de Whitney para y luego usamos este etiquetamiento para mostrar que su dual de Whitney asociado es un poset de bosques de Lyndon punteados. Para el caso , resulta que las familias y tienen los mismos números de Whitney del primer y segundo tipo. Nuestros resultados implican que hay múltiples duales de Whitney no isomorfos entre sí para estas dos familias en este caso.Maestrí
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