What is the relation between “Green’s Theorem” and “Stokes’s
Theorem”?
Explain about the transformations defined in these theorems.
What is the most important application and consequence of
“Stokes’s Theorem”?
Explain Independence of path?
4. Explain the relation between surface roughness and effective
bondable area on the example of a cosine wave (sketch the surface
and explain how to model the surface area). The cosine waves
amplitude is 25% of the wave length. How many percent larger is
this area as compared to being totally flat (amplitude is 0% of
wave length). Base your calculations on the numeric length integral
for the waves length.
What is the difference between function and relation? Explain
by giving example.
Find the domain and range of these functions.
the function that assigns to each pair of positive integers the
first integer of the pair
b) the function that assigns to each positive integer its largest
decimal digit
c) the function that assigns to a bit
string the number of ones minus the number of zeros in the
string
d) the function that assigns to each
positive integer...
The origins of
stiffness
Explain the
relationship between the cohesive energy of bonding and the
observed stiffness of individual bonds.
How does the stiffness
of individual bonds in a solid affect the overall stiffness and
elastic modulus of the material?
What is the atomic
level mechanism of elastic deformation? In other words, what is
occurring within a solid when it is elastically deformed?