Essay: Alan Mathison Turing
Turing, born in 1912, was descended from an old Irish family who were known for being
great inventors, engineers and scientists. His grandfather on his fathers side was well known in
Newtons and Babbages old college, Trinity Co
- Forces between molecules
- Responsible for the state of matter: solid, liquid, or gas
- affect the melting and boiling points of compounds as well as the
solubility of one substance in another
- weaker than c
Similar Matrices and Diagonalizable Matrices
S. F. Ellermeyer
July 1, 2002
Denition 1 If A and B are nxn (square) matrices, then A is said to be
similar to B if there exists an invertible nxn matrix, P , such that A =
P 1 BP .
electric field and electric force
If qs>0, then dir E is away from qs.
If qs<0, then dir E is toward qs.
If q0>0, then dir E =dir F .
If q0<0, then dir E is opposite to dir F .
E dA =
E at a point in space
Matrix of a linear transformation.
Denition. Given vector spaces V1 and V2 , a
mapping L : V1 V2 is linear if
L(x + y) = L(x) + L(y),
L(r x) = rL(x)
for any x, y V1 and r R.
A cascading if-else is a composite of if-else statements where the false path of the outer
statement is a nested if-else statement. The nesting can continue to several levels.
Cascading if-else Syntax
if ( truth value 1 )