高三童鞋辛苦啦。
Two major breakthroughs in knot theory occurred in 1928 and in 1984. In 1928, the American mathematician James Waddell Alexander discovered an algebraic expression that uses the arrangement of crossings to label the knot. For example, t2-t+1 or t2-3t+1, or else. Decades of work in the theory of knots finally produced the second breakthrough in 1984. The New Zealander-American mathematician Vaughan Jones noticed an unexpected relation between knots and another abstract branch of mathematics, which led to the discovery of a more sensitive invariant known as the Jones polynomial. 63. What is surprising about knots?
A. They originated from ancient Greek legend. B. The study of knots is a branch of mathematics. C. Knots led to the discovery of atom structure. D. Alexander the Great made knots well known.
64. What does the underlined word “that” in Paragraph 3 refer to? A. No other application found except tables of knots. B. The study of knots meeting a seemingly dead end. C. Few scientist showing interest in knots. D. The publication of complete tables of knots.
65. According to the passage, ______ shows the most updated study about knots. A. t2-t+1 B. t2-3t+1 C. Alexander polynomial D. Jones polynomial 66. Which one would be the best title for this passage? A. Mathematicians VS Physicians B. To be or Knot to be C. Knot or Atom D. Knot VS Mathematics
D
ELMONT, N. Y. (AP)---Elmont High School senior Harold Ekeh had a plan—he would apply to 13 colleges , including all eight Ivy League schools, figuring it would help his chances of getting into at least one great school.
It worked, And then some, The teenager from Long Island was accepted at all 13 schools, and now faces his next big test: deciding where to go.
“I was stunned, I was really shocked, ”Ekeh told The Associated Press during an interview Tuesday at his home near the Belmont Park racetrack, his four younger brothers running around.
He found out last week he had been accepted to Princeton University. That made him eight for eight in the Ivy League—he had already been accepted to Yale University , Brown University, Columbia University , Cornell University , Dartmouth College, Harvard University and University of Pennsylvania. His other acceptances came from Johns Hopkins University, Massachusetts Institute of Technology, New York University, Stony Brook University and Vanderbilt University.
“We are so proud of him, ” said his mother , Roseline Ekeh.“Hard work, dedication, prayer brought him to where he is today. ” Born in Nigeria, Harold was eight years old when his parents brought the family to the United States.
“It was kind of difficult adjusting to the new environment and the new culture, ” he said. But he saw his parents working hard, “and I took their example and decides to
He referenced that effort in his college essay, writing, “Like a tree, uprooted and replanted, I could have withered in a new country surrounded by people and languages I did not understand. Yet, I witnessed my parents persevere despite the potential to give in. I faced my
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