By PRANAV JAIN, Pune, India
This paper serves to outline and describe a previously unexplored relationship between four “equidistant numbers”, a term that here means four numbers chosen such that each one is separated from the previous term by a constant numerical difference. The idea emerged from observing patterns within the number plates of cars, and has been generalized to encompass any 4 equidistant real numbers. The theorem states: “The absolute difference between the product of the first and last term, and the second and third term of a sequence of four equidistant real numbers is always equal to two times the numerical distance squared.” This paper proves the relationship for all real numbers. It was found that this relationship holds true for the set of real numbers.
This concept is related to Number Theory, the study of relationships of numbers. The primary method of proving the theorem is multi-dimensional induction.
Direct Reprogramming of Erythrocytes to Renal Nephron Cells Using Transcription Factor Combinations with the Implementation of Soluble Factors and Extracellular Matrix Proteins and Peptides Within the Respective Synthetic Scaffold
By SHIVAM AGARWAL and NABEEL QURYSHI, Pasadena, USA
By JIAYI (VIVIAN) LI, Shanghai, China
Dr. Mary J. Barnett, Georgetown University
Othello was written between 1603 and 1604; its first recorded performance was in 1604, with Richard Burbage playing Othello (Swindall 11). Undoubtedly, Burbage played Othello in blackface. It was not until over 200 years later, in 1833 that the first black actor played Othello in London. Since then, most actors playing Othello have been black, although scholars like Peter Ackroyd argue that Shakespeare intended him to be a Spanish Moor (Arogundade). Recently some scholars began to argue about the ethnicity of Othello. Some scholars even suggest that Othello should be played by a white actor of blackface, like hundreds of years ago. After all, one of Othello’s main themes is racial discrimination. Othello is a play focusing on the issue of racial discrimination that offers unlimited possibilities for new interpretations. Spectators, critics and directors in different time have tended to think differently about the most proper race to play Othello because as time goes by, more and more people can accept racial diversity in the society.
By RAYMOND XU, San Jose, California, USA
Stanford Summer Humanities Institute, 2016
Master Thinkers of the 19th Century: Marx, Nietzsche, Freud
Professor: Adrian Daub
By ZACK LIGHT, Ridgefield, USA
Stanford Summer High School College
Professor: Robert Leeson
Teaching Assistants: Kevin Hoan Nguyen and Guido Alejo Martirena
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