1 10/10/01 Fermat’s Little Theorem From the Multinomial Theorem Thomas J. Osler (osler@rowan.edu) Rowan University‚ Glassboro‚ NJ 08028 Fermat’s Little Theorem [1] states that n p −1 − 1 is divisible by p whenever p is prime and n is an integer not divisible by p. This theorem is used in many of the simpler tests for primality. The so-called multinomial theorem (described in [2]) gives the expansion of a multinomial to an integer power p > 0‚ (a1 + a2 + ⋅⋅⋅ + an ) p = p k1 k2 kn a1 a2
Premium Prime number Algebra Integer
In “Put a little science in your life”‚ Brian Greene explains how important learning science was in school. However‚ being important took a backseat to a student actually applying science in their lives. In the beginning of the essay‚ Greene writes about how he was contacted by a soldier overseas who had read a book that Greene had written about science. Instead of telling the author about how war life was‚ the soldier instead felt that Greene should know how his book had changed his perspective
Premium Science Scientific method Education
“Gilded Decay” The Little Foxes is set in the deep south‚ in the spring of 1900. This setting is historically at the cusp of what is referred to as the Gilded Age. The “Gilded Age” is considered to be the decades between 1870 and 1900 and is a term coined by Mark Twain. It was used to describe a period with many social problems that were masked by the rise of new money. Greed‚ scandal‚ and corrupt policies ran rampant during this time; however‚ as we look back‚ this was also a point in history where
Premium United States Industrial Revolution Slavery
In the book Little women‚ Meg is at first intimidated by the Moffats‚ who are wealthy and fashionable. But they are also nice to her‚ and she adapts quickly to their lifestyle of leisure. This scene makes it clear that the girls at the Moffat’s house are actually kind people who feel empathy towards Meg because of her family’s financial situation. This is observed when Meg arrives at the Moffat house and the narrator states‚ “But they were kindly people‚ in spite of the frivolous life they led‚ and
Premium Woman Gender Family
In the article “Put a Little Science in Your Life” the author‚ Brian Greene‚ expresses how science is such a magnificent study‚ but yet is not catching the attention of youth today. In today’s education system students aren’t looking at science in the big picture‚ but are merely looking at it as another course they are required to pass. Greene expresses to his reader’s that science is everywhere‚ and that everything created is somewhat made up of science. In the school room‚ teachers are given an
Premium
do you define a good education? In “The Education of Little Tree” by Forrest Carter‚ it may be said that the title character‚ Little Tree‚ is not getting a good education because he does not attend school. Neither of his grandparents‚ with whom he lives‚ have a formal education; the only academic lessons he receives encompass learning 5 dictionary words per week and occasionally practicing basic arithmetic. However‚ it can be argued that Little Tree is in fact receiving the best education possible
Premium Learning Education
"A Little GIRL Lost" from Songs of Experience is one of Blake’s most important poems. Though judging the aesthetic value of a poem is nearly impossible‚ I would contend that "A Little Girl Lost" is "better" than "The Little Girl Lost" found in Songs of Innocence. Perhaps because "A Little Girl Lost" was composed as an afterthought to its original counterpart‚ having been first written in "Innocence‚" it acts as a conclusion to the original
Free Poetry William Blake
Colorblind? Little Miss Sunshine is a movie about a dysfunctional (yet oddly supportive) family’s road trip from hell. This extended family consists of a mother‚ father‚ her son from a previous relationship‚ daughter‚ uncle and grandfather. This film was released August 18‚ 2006 and won two Oscars for Best Performance by an Actor in a Supporting Role (Alan Arkin) and Best Writing‚ Original Screenplay. Abigail Breslin was nominated for her portrayal of Olive. Little Miss Sunshine was also nominated
Premium Family Little Miss Sunshine Beauty contest
The Stele of Prince Ankh-nef-nebu was found at the site of Deir El-Bahari‚ the same compound that housed the 11th Dynasty Mortuary Complex and 18th Dynasty temple. The Stele of Prince Ankh-nef-nebu was found before 1925 and belongs to the Egyptian (New Kingdom) period. It is made of limestone and has traces of polychrome paint. The Stele’s dimensions are 12 x 8 x 3 in. It is currently located at the Ackland Art Museum‚ University of North Carolina at Chapel Hill. Depicted in the center of The
Premium Ancient Egypt
similar critique of power‚ morality and human nature in Julius Caesar and The Prince‚ their differing contexts‚ form‚ purpose and audience create unique outlooks on these underlying concerns. Niccolo Machiavelli’s 1513 political treatise‚ The Prince analyses the methods which individuals may obtain and maintain principalities in response to the political instability of Italy during the chaotic times of the Renaissance. The Prince also critiques conventional morality‚ the unpredictability of fate as well
Premium Florence Julius Caesar Cesare Borgia