Language-Based Security (Winter 2013/2014)
Out: Tue, Nov 12
Exercise Sheet 2
Prof. Dr. Matteo Maffei
Ilya Grishchenko
Saarland University
Problem 1: Typing (7 points)
Consider the following process:
(c : C HH [HH]) (m0 : HH) d(x).if x = m0 then dhm0 i els
1
Supporting Australian Mathematics Project
2
3
4
5
6
7
8
A guide for teachers Years 11 and 12
Calculus: Module 10
Introduction to differential calculus
9
10
11
12
Introduction to differential calculus A guide for teachers (Yea
Prof. G. Kokarev
Wintersemester 2013/14
Calculus of Variations
Exercise sheet 2
Problem 1. Find all global minimisers and maximisers of the following functionals:
R1
(i) B(x) = (x 2 x)dt + x2 (1);
0
(ii) B(x) =
R2
t2 x 2 dt 2x(1) + x2 (2).
1
Problem 2. Fi
Exercise sheet for Advanced Calculus, Math 410, section 0201 on
05/12/2014
Exercise 1.
1. Does the following sequence have a limit
un = 1 + (1)n cos n sin
1
?
n2
Solution. The sequence converges to 1. Indeed (1)n cos n is bounded; sin n12
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Exercises
Exercise Sheet 1: Propositional Logic
1. Let p stand for the proposition I bought a lottery ticket and q for I won the jackpot.
Express the following as natural English sentences:
(a) p
(b) p q
(c) p q
(d) p q
(e) p q
(f) p (p q)
2. Formalise
Logics Exercise
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TU Mu
r Informatik
Institut fu
SS 2016
Prof. Tobias Nipkow
Dr. Peter Lammich
Simon Wimmer
Exercise Sheet 12
29.06.2016
Submission of Homework: Before tutorial on July 6
Exercise 12.1.
[Resolution and Left-Sided Sequent Calculus]
Co
A Calculus Refresher
v1. March 2003
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Stochastic Calculus and Black-Scholes Theory MTH772P
Solutions Exercises Sheet 3
1. A k-dimensional Brownian motion is a random vector-function (B1 (t), . . . , Bk (t),
where Bi are k independent (standard) BM. For smooth function f of the k-dimensional
B
Single Variable Calculus
Early Transcendentals
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Creati
Mathematics 1G1. Autumn 2016
Theodore Voronov.
MATH19731. Autumn semester 2016-2017
Exercise sheet 8 (Further differential calculus)
1. Find the Taylor expansion for the function tan x at zero to the power x5 (inclusive).
2. By using Taylor expansions, ca
Jeffrey Lockshin
Calculus: theory,
examples, exercises
International College of Economics and Finance
UniversityHigher School of Economics
Moscow, 2010
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