May 2012 - Maths Genie
... The marks for the parts of questions are shown in round brackets, e.g. (2). There are 10 questions in this question paper. The total mark for this paper is 75. ...
... The marks for the parts of questions are shown in round brackets, e.g. (2). There are 10 questions in this question paper. The total mark for this paper is 75. ...
LECTURE 3, MONDAY 16.02.04 Last time I talked about the
... where r is the Mordell-Weil rank of E(Q), Ω = c∞ the real period, X(E/Q) the Tate-Shafarevich group, R(E/Q) the regulator of E (some matrix whose entries are canonical heights of basis elements of the free part of E(Q)), cp the Tamagawa number for the prime p (trivial for all primes not dividing the ...
... where r is the Mordell-Weil rank of E(Q), Ω = c∞ the real period, X(E/Q) the Tate-Shafarevich group, R(E/Q) the regulator of E (some matrix whose entries are canonical heights of basis elements of the free part of E(Q)), cp the Tamagawa number for the prime p (trivial for all primes not dividing the ...
May 2014 - Maths Genie
... You must show sufficient working to make your methods clear to the Examiner. Answers without working may not gain full credit. ...
... You must show sufficient working to make your methods clear to the Examiner. Answers without working may not gain full credit. ...
Applied Geometry
... Applied Geometry Lesson 2 – 1 Real Numbers and Number Lines Objective: Learn to find the distance between two points on a number line. ...
... Applied Geometry Lesson 2 – 1 Real Numbers and Number Lines Objective: Learn to find the distance between two points on a number line. ...
![[Part 1]](http://s1.studyres.com/store/data/008795849_1-075cc9ba198c265a8a5f7353865fded1-300x300.png)
[Part 1]
... An instructor of a course in Number Theory could use the material in the second section to present a coherent study of Fermat's Last Theorem and Fermat's method of infinite descent. These two results are used to prove the following familiar results. (1 A) No pythagorean triangle has an area which is ...
... An instructor of a course in Number Theory could use the material in the second section to present a coherent study of Fermat's Last Theorem and Fermat's method of infinite descent. These two results are used to prove the following familiar results. (1 A) No pythagorean triangle has an area which is ...
1_M2306_Hist_chapter1
... • Converse statement: if a,b and c satisfy a2+b2=c2 then there exists a right-angled triangle with corresponding sides. • One can consider a2+b2=c2 as an equation • It has some simple solutions: (3,4,5), ...
... • Converse statement: if a,b and c satisfy a2+b2=c2 then there exists a right-angled triangle with corresponding sides. • One can consider a2+b2=c2 as an equation • It has some simple solutions: (3,4,5), ...
Math 1A Discussion Midterm 2 Practice Problems 1. Differentiate y
... 7. Find a formula for the nth derivative of ln(x). 8. Find all critical numbers of f (x) = 2x1/3 (3 + x4/3 ). 9. The half-life of silver-108 is 418 years. Find an exact expression for the number of years it takes for a 120mg sample of silver-108 to become 100mg. arctan(x) − 1 ...
... 7. Find a formula for the nth derivative of ln(x). 8. Find all critical numbers of f (x) = 2x1/3 (3 + x4/3 ). 9. The half-life of silver-108 is 418 years. Find an exact expression for the number of years it takes for a 120mg sample of silver-108 to become 100mg. arctan(x) − 1 ...