Number theory

“Sophie Germain’s Theorem can be applied for many prime exponents, by producing a valid auxiliary prime, to eliminate the existence of solutions to the Fermat equation involving numbers not divisible by the exponent p” (Laubenbacher and Pengelley, 9). Legendre later used Germain’s findings in a supplement to the second edition of his book, Essai sur le Théorie des Nombres (O’Connor and Robertson). The Institut de France awarded Germain a medal for her work on Fermat’s Last Theorem and Germain “became the first woman, who was not a wife of a member, to attend lectures at the Academy of Sciences.”…

Wesley place is a skilled nursing facility in Chicago. We received a brief description and history of the facility before speaking with a physical therapist from the facility. This location contracts its physical therapists through an outside company, as does many other skilled nursing facilities like Wesley Place. During our visit, we talked about many of the barriers present at Wesley Place as well as other skilled nursing facilities. A large barrier to care is the shortage of nursing and…

RELATED CASES: NONE. SUPPORT DOCUMENTS: Eighty-One Pages Panhandle Educators Federal Credit Union Documents to include One Page Affidavit of Fraud, One Page Transaction History, Six Pages Cardholder Dispute Forms. On 03/04/2016, I spoke with Melody Graves in the District II lobby of the Pasco Sheriff`s Office in reference to a Petit Theft and Fraudulent use of her Panhandle Educators Federal Credit Union (PEFCU) Debit/Credit Card number 4224320000431829. Ms. Graves stated while…

for two years and returned to Göttingen in 1849. Thirteen years after returning, in 1862, he married Elise Koch and had a daughter. Sadly on July 20, 1866, Bernhard Riemann died of tuberculosis in Selasca, Italy. Before his death, Riemann was able to make great contributions in the field of mathematics. Some of those contributions include Riemannian Geometry, real analysis, and number theory. Riemannian Geometry occurred when Riemann found the correct way to extend into n dimensions or the…

“Conspiracy theorists of the world, believers in the hidden hands of the Rothschilds and the Masons and the Illuminati, we skeptics owe you an apology. You were right. The players may be a little different, but your basic premise is correct: The world is a rigged game” (Matt Taibbi). In order for a reader to really like a story, they must first get hooked on a certain aspect of the story, usually a little possibility of a diverse reality than the one they live in. A conspiracy theory can…

3.2.2. For focus student number one, I will adapt the learning goal by presenting the auditory memory for words at a level two to increase difficulty. The student has mastered level one of repeating two words, and will continue to be pushed to a harder level to improve the skill. For focus student number two, I will adapt the learning goal by presenting the auditory memory for words at a level one to build confidence and accuracy towards the goal. The behaviorism theory focuses on observable and…

Ringing bells in a church is more than just pulling a rope and hearing the chiming of the bells. Bells have been around since ancient times. They announced the beginning of church services, deaths, marriages and many other important events of a village. Over the years the practice of change ringing evolved. Change ringing is the process of ringing a set of bells in a controlled manner. A change ringer spends many hours learning the special technique on how to generate the changes sound…

I. Introduction I became interested creating and applying methodologies for mathematics education because the entry-level mathematics students often encounter difficulties in understanding magnitudes of large numbers. I shall begin my case study from some experiments that how accurately the children could estimate the numbers magnitudes by various aspects of a stimulus. Thus far, my research has followed two lines of inquiry. The first line of study is to identify children’s different…

calculations. The idea of zero has crossed the imagination of great minds across the globe. Zero functions as a placeholder and the amount of zeroes after a digit can drastically change the value of the number just imagine if one adds or even removes a zero from their salary. Index Terms— Zero, Mesopotamia, Mayan, Brahmagupta, Al-Khwarizmi, Fibonacci, Descartes. I. Introduction…

Part B: During the children’s early years, they learn that mathematics helps people making sense of their environments through play, investigations, real-life situations, and focused learning experiences. Children come to school with different experiences about mathematics (Anghileri, 2006; Yelland, Butler, & Diezmann, 1999). Many children enjoy singing number names, identifying how big objects and people are, labelling shapes, and using their developing mathematical understandings to think and…