group theory 2. Consider the group presentation (a,b a1,b3,aba b Determine a van Kampen lemma word for W ab ab dint...
group theory
STQ x,y2x®ıy2 ín the von Dyck group presentation Consider the word w a) Show that W word for W b) Determine a van Kampen Lemma Consider the group presentation
STQ x,y2x®ıy2 ín the von Dyck group presentation Consider the word w a) Show that W word for W b) Determine a van Kampen Lemma Consider the group presentation
group theory
Example 10.3 Show T trasformation from presentation x |x° ) to the presentation (a,bla,b,aba b where p and q are relatively prime. ENG A INTL DELL
Example 10.3 Show T trasformation from presentation x |x° ) to the presentation (a,bla,b,aba b where p and q are relatively prime. ENG A INTL DELL
2 Determine if the set W = {(a, b, ab): where a and b are non – zero real numbers} is a subspace of R3. If it is prove it, if it does not show which vector space axiom fails.
2 Determine if the set W = {(a, b, ab): where a and b are non-zero real numbers) is a subspace of R3. If it is prove it, if it does not show which vector space axiom fails.
23. Consider the function w(z) = 2-2 (a) Where in the complex z-plane are the poles of w(z)? (b) Determine the first three terms for the Taylor series expansion of w(z) about 0 (c) Identify the region of convergence for the Taylor series of part (b). (d) Determine the general expression for the n'h coefficient of the Taylor series expansion of part (b) 208 INTRODUCTION TO COMPLEX VARIABLES (e) There is a Laurent series expansion for wC) about-= 0 in...
(b) Consider u = (1, 2, 3), v = (-1, 2, -1), w = (-1,0, 2); 1 E R. Determine the value of 1 # 0 for which u, v and w are linearly dependent. Write down the corresponding equation of dependence. [6 marks]
Consider the mechanism. Step 1: AB+C Step 2: C+ DE Overall: A+D- B+E slow fast Determine the rate law for the overall reaction, where the overall rate constant is represented ask. rate =
Background INFO
There are four types of blood: A, B, AB, and O (Figure 4). Each
is characterized by the glycoproteins (proteins with a sugar
attached) and lipoproteins (proteins with a lipid attached)
embedded in the surface of red blood cells (RBCs). In addition to
type, blood can be rhesus (Rh) factor positive or negative.
These proteins are inherited and may differ from individual to
individual. If, during a transfusion, an individual receives
blood with the incorrect RBC proteins (for...
Consider 2 metallic strips
[e]. Consider 2 metallic strips A (top) and B (bottom) of identical length (), width (w) and thickness (see the sketch below). Strip A has a higher coefficient of thermal expansion compared to strip B. The strips are bonded together and the temperature is raised by AT 0. What shape will the two strips take? Show it with a sketch. Also, will they have thermal stresses? If so, specify the stress state in each strip. When...