SAT閱讀素材 unsolved math problems
提高SAT閱讀水平的一個必用的方法就是經常找一些SAT閱讀素材進行練習，培養語感和閱讀速度，不懂的詞匯要養成根據上下文的意思進行猜詞的習慣，之后再查詞典，而不是一開始就查。讀的時候不要一個單詞一個單詞的讀，而是按意群來閱讀，這樣才有助于你SAT閱讀水平的提高。
There are many unsolved problems in mathematics. Some prominent outstanding unsolved problems include
1. The Goldbach conjecture.
2. The Riemann hypothesis.
3. The conjecture that there exists a Hadamard matrix for every positive multiple of 4.
4. The twin prime conjecture .
5. Determination of whether NP-problems are actually P-problems.
6. The Collatz problem.
7. Proof that the 196-algorithm does not terminate when applied to the number 196.
8. Proof that 10 is a solitary number.
9. Finding a formula for the probability that two elements chosen at random generate the symmetric group .
10. Solving the happy end problem for arbitrary .
11. Finding an Euler brick whose space diagonal is also an integer.
12. Proving which numbers can be represented as a sum of three or four cubic numbers.
13. Lehmers Mahler measure problem and Lehmers totient problem on the existence of composite numbers such that , where is the totient function.
14. Determining if the Euler-Mascheroni constant is irrational.
15. Deriving an analytic form for the square site percolation threshold.
16. Determining if any odd perfect numbers exist.
The Clay Mathematics Institute of Cambridge, Massachusetts has named seven Millennium Prize Problems, selected by focusing on important classic questions in mathematics that have resisted solution over the years. A $7 million prize fund has been established for the solution to these problems, with $1 million allocated to each. The problems consist of the Riemann hypothesis, Poincar conjecture, Hodge conjecture, Swinnerton-Dyer Conjecture, solution of the Navier-Stokes equations, formulation of Yang-Mills theory, and determination of whether NP-problems are actually P-problems.
In 1900, David Hilbert proposed a list of 23 outstanding problems in mathematics , a number of which have now been solved, but some of which remain open. In 1912, Landau proposed four simply stated problems, now known as Landaus problems, which continue to defy attack even today. One hundred years after Hilbert, Smale proposed a list of 18 outstanding problems.
K. S. Brown, D. Eppstein, S. Finch, and C. Kimberling maintain webpages of unsolved problems in mathematics. Classic texts on unsolved problems in various areas of mathematics are Croft et al. , in geometry, and Guy , in number theory.
SAT閱讀素材讀完以后要第一個工作就是查詞典解決生詞，第二個工作就是歸納一下文章的中心，要明白作者寫這篇文章的目的，接下來就是要理解每一段的大意，最好能夠將這篇SAT閱讀文章復述下來。
提高SAT閱讀水平的一個必用的方法就是經常找一些SAT閱讀素材進行練習，培養語感和閱讀速度，不懂的詞匯要養成根據上下文的意思進行猜詞的習慣，之后再查詞典，而不是一開始就查。讀的時候不要一個單詞一個單詞的讀，而是按意群來閱讀，這樣才有助于你SAT閱讀水平的提高。
There are many unsolved problems in mathematics. Some prominent outstanding unsolved problems include
1. The Goldbach conjecture.
2. The Riemann hypothesis.
3. The conjecture that there exists a Hadamard matrix for every positive multiple of 4.
4. The twin prime conjecture .
5. Determination of whether NP-problems are actually P-problems.
6. The Collatz problem.
7. Proof that the 196-algorithm does not terminate when applied to the number 196.
8. Proof that 10 is a solitary number.
9. Finding a formula for the probability that two elements chosen at random generate the symmetric group .
10. Solving the happy end problem for arbitrary .
11. Finding an Euler brick whose space diagonal is also an integer.
12. Proving which numbers can be represented as a sum of three or four cubic numbers.
13. Lehmers Mahler measure problem and Lehmers totient problem on the existence of composite numbers such that , where is the totient function.
14. Determining if the Euler-Mascheroni constant is irrational.
15. Deriving an analytic form for the square site percolation threshold.
16. Determining if any odd perfect numbers exist.
The Clay Mathematics Institute of Cambridge, Massachusetts has named seven Millennium Prize Problems, selected by focusing on important classic questions in mathematics that have resisted solution over the years. A $7 million prize fund has been established for the solution to these problems, with $1 million allocated to each. The problems consist of the Riemann hypothesis, Poincar conjecture, Hodge conjecture, Swinnerton-Dyer Conjecture, solution of the Navier-Stokes equations, formulation of Yang-Mills theory, and determination of whether NP-problems are actually P-problems.
In 1900, David Hilbert proposed a list of 23 outstanding problems in mathematics , a number of which have now been solved, but some of which remain open. In 1912, Landau proposed four simply stated problems, now known as Landaus problems, which continue to defy attack even today. One hundred years after Hilbert, Smale proposed a list of 18 outstanding problems.
K. S. Brown, D. Eppstein, S. Finch, and C. Kimberling maintain webpages of unsolved problems in mathematics. Classic texts on unsolved problems in various areas of mathematics are Croft et al. , in geometry, and Guy , in number theory.
SAT閱讀素材讀完以后要第一個工作就是查詞典解決生詞，第二個工作就是歸納一下文章的中心，要明白作者寫這篇文章的目的，接下來就是要理解每一段的大意，最好能夠將這篇SAT閱讀文章復述下來。
