Lecture 5 Conservation of Chemical Species
Reading: Deen Ch 2.3 2.6, 2.7
Material Derivative. For transport in incompressible fluids, the continuity equation implies that
v 0 . Under these circumstances, the conservation equation for a scalar quantity ca
Lecture 1 Vectors and Tensors
Reading: Deen Appendix A
We will briefly review some elements of vector calculus most relevant to transport processes.
[Significant portions of these notes were adapted from those of Scott Milner on Linear Algebra.]
Lecture 8 Scaling
Reading: Deen Ch 3.3
In order-of-magnitude estimation, we are most interested in making one of the following
statements about the relative magnitude of two quantities x and y.
x y , x is much smaller than y
Lecture 3 Molecular Origins of Diffusive Fluxes
Reading: Deen Chapter 1
Estimating the magnitude of transport coefficients (D, v, and ) can often be achieved through
dimensional analysis. In particular, diffusive transport of heat, species, and momentum a
Lecture 6 Example: Facilitated Transport
Reading: Deen Ch 3.1, 3.2
WORKED EXAMPLE: 3-5 Facilitated Transport
reaction can be used too increase thhe transportt of a
Facilitatted Transport (3-5). A reversible
solute accross a liquiid film or meembrane.
Lecture 2 Diffusive Fluxes
Reading: Deen Chapter 1
Gradients in temperature, chemical concentrations, and velocity induce fluxes of energy, mass,
and momentum as to erase spatial variations and achieve thermodynamic equilibrium. The relationships between
Lecture 4 Conserv
Reading: Deen, Chap
ation Equattions for Fin
nite Volumess. Consider a fixed conttrol volume V with surfaace S.
Conservaation of som
me scalar quan
ntity is expressed as
ulation = In Out +
Lecture 7 Conservation of Energy
Reading: Deen Ch 2.4, 2.5
Conservation of Energy: Thermal Effects. We now consider a particularly useful (albeit
approximate) conservation equation, in which we consider enthalpy to be a conserved quantity
(instead of ener
Lecture 9 Dimensionality in Modeling
Reading: Deen Ch 3.4
WORKED EXAMPLE: 3-13 Morphogen Diffusion
Symmetry. Transport problems are inherently 3-dimensional; however, certain symmetries of
the problem can be exploited to reduce the number of coordinates n
Lecture 0 Rain Drops
What determines the size L of rain drops? What determines the speed U at which they fall?
To answer these questions, its often helpful to begin by listing whatever forces and/or material
properties are relevant to the problem. For th
Each SQL Server comparison condition has an exact MySQL equivalent, and therefore
no action is necessary when migrating from SQL Server to MySQL.
SQL Server comparaison conditions
expression1 = expression2
Returns TRUE if the expressions are equal, UNKNOW
8. (a) Ans: We must show the relation xy is a perfect square is reflexive, symmetric and transitive.
Since xx = x2 , the relation is reflexive.
If xy = n2 for some number n, then yx = n2 . Therefore, the relation is symmetric.
If for some positiv
Therefore, the assumption: cfw_ is inconsistent, is incorrect.
Thus cfw_ is consistent.
Assume the contrary, is consistent, ` , but cfw_ is inconsistent. Since is consistent, by
the Completness theorem, is satisfiable: there exists a truth val
Find the cost-minimizing level of K & L to produce Q = 10. You may assume that input
prices remain constant. Add this new level of production to your original graph (with
the respective isoquant and iscost).
does not calculate any unnecessary GROUP BY values.
As soon as MySQL has sent the required number of rows to the client, it aborts the query unless
you are using SQL_CALC_FOUND_ROWS.
LIMIT 0 quickly returns an empty set. This can be useful for checking th
Table of Contents
Executive Summary . 3
Migrating from SQL Server makes Business Sense . 3
Migrating from SQL Server makes Technical Sense . 6
Migrating from SQL Server to MySQL Fundamentals. 13
Conclusion . 18
Additional Resources. 19
Appendix A SQL Serv
Note that the DATETIME datatype in MySQL is a seven byte value that is currently down to the second
precision (although a future release will allow greater granularity), while SQL Server is an eight byte value
that has granularity down to the 3/100 second
Induction hypothesis: Assume that for any formula U with the height of its parse tree less
than or equal to k, U has a finite length.
Induction step: Let A be a formula with the height of the parse k + 1.
Case 1. Let A = (U ). Since the height of the p
2. Show graphically and explain why a firm with u-shaped AC cost curves will produce when
APL>MPL (6 points).
3 points for explanation, 3 points for graph: Firms produce where MC > AVC, which is
equivalent to the
Replication (Row-based and Statement-based)
Hi gh Availability with auto failover, promotion of slaves to master
Partitioning (Range, List, Hash, Key, Composite)
VLDB (terabytes) capable
,3. (6 pts) The protein capsid coat of a virus fullls several important functions. What are two functions
fullled by capsids?
m . mm W a mm,
x .IN am. WWW/3 :12 Mad
. 1, "mm
g (23 pts) Strategies used to produce mature virus-coded protein
willing to pay more for a good. The demand curve could shift in, if the tax was imposed
on consumers, but the market equilibrium would still be the same (200, 16).
i. What would be the market price of ticket
Part I: True or False. Justify. (35 points) Determine whether each of the following
statements is true or false. Answers without justifications will not be graded. Please
select either True or False.
Question 1. (5 points) High risk individua
Suppose that Hiker Safety is the only insurance company offering policies to insure
against Post8K Syndrome.
b. (6 points) Hiker Safety offers the following two types of insurance policies to the
group of hikers, after returning from their trip and r
In general, v 6= t and thus Av can be 0 or 1, but then (A B)v = 1 whether or not Av = 1.
We obtained, there exists a truth valuation v, such that (A B)v = 1, and thus (A B) is
3. If (A B) is a contradiction then A is a tautology.
If (A B) is
project,you isolateda new virusfrom an infectedmouse
7. i rupr.rAs pan of l our undergraduate
thatwastrappednearCampusPoint. The virus,whichvou namedLiCSB2009strain134,wasfoundto be
a papovavirus.\4ouse3T3 cellswerefoundto be a permissivehos
Figure 4: MySQL Enterprise Monitor
MySQL Replication Monitor
The MySQL Replication Monitor auto detects and monitors replication topologies and provides real-time
replication health and status checks on master/slave performance and latency issues.
Drummer Inc. is a sports equipment
provider with a chain of outlets across
three states. As part of their
expansion strategy, Drummer Inc.
decides to enter six more states while
also revising its existing business