We present an elementary method for proving enumeration formulas which are polynomials in certain parameters if others are fixed and factorize into distinct linear factors over Z. Roughly speaking the idea is to prove such formulas by ``explaining'...
Using new $q$-functions recently introduced by Hatayama et al. and by (two of) the authors, we obtain an A_2 version of the classical Bailey lemma. We apply our result, which is distinct from the A_2 Bailey lemma of Milne and Lilly, to derive Roger...
4 days ago · AI algorithm enables tracking of vital white matter pathways Opening a new window on the brainstem, a new tool reliably and finely resolves distinct nerve bundles in live diffusion MRI scans, …
USAGE Although blond and blonde correspond to masculine and feminine forms in French, this distinction is not consistently made in English. Blonde is the commoner form both as a noun and an …
The meaning of STEPFATHER is the husband of one's parent when distinct from one's natural or legal father.
We investigate two fundamental problems in mobile computing: exploration and rendezvous, with two distinct mobile agents in an unknown graph. The agents may communicate by reading and writing information on whiteboards that are located at all nodes....
Jan 20, 2026 · racial (comparative more racial, superlative most racial) From a musical point of view, the modern Iberian seems a fac-simile of the mediæval Frenchman. Barring out racial distinctions, they …
Nov 28, 2024 · Language evolves with context, and words like winning and wining demonstrate how small differences in spelling can lead to substantial distinctions in meaning. Misusing these terms …
The near-infrared spectrum of (50000) Quaoar obtained at the Keck Observatory shows distinct absorption features of crystalline water ice, solid methane and ethane, and possibly other higher order hydrocarbons. Quaoar is only the fifth Kuiper belt...
A sister city or a twin town relationship is a form of legal or social agreement between two geographically and politically distinct localities for the
What is the distinction between “role” and “rôle” [with a circumflex]? What is the significance of the “ô” character in “rôle” in this work? What is the standard rule for using or not using hyphen and diaeresis …
Aug 2, 2013 · The American Heritage Dictionary of the English Language gives four definitions of role, the first of which is also rôle A character or part played by a performer.
computers, case sensitivity defines whether uppercase and lowercase letters are treated as distinct (case-sensitive) or equivalent (case-insensitive)
Letter case is the distinction between the letters that are in larger uppercase or capitals (more formally majuscule) and smaller lowercase (more formally
There are two distinct categories of milk consumption: all infant mammals drink milk directly from their mothers' bodies, and it is their primary source of nutrition; and humans obtain milk from other …
Nov 26, 2024 · Often described as man’s best friend, dogs have lived alongside us as treasured companions for 35,000 years. With over 400 distinct breeds, no other land mammal comes close to …
Branding What is a Brand? A brand is any distinctive feature like a name, term, design, or symbol that identifies goods or services. What is Brand Marketing? Brand marketing is the approach …
I am truly amazed that this book is a debut. The writing is masterful and the story is so complex and layered. The book follows three distinct timelines that weave together to create a narrative struc...
Ocala, City of Ocala is the largest village settled in Marion County. Enjoy modern amenities and distinctive charm in the county seat.
overnight. The departments are also sometimes called outpatient clinics, but are distinct from clinics independent of hospitals, almost all of which are designed