chapter 12

Question 1

rectangular data grids

Answer 1

regularly spaced rectangular data set where values are coordinates, element number as x val and value as y val

Question 2

mesh grid format

Answer 2

elements in each column of 2D x-array are all identical and elements in each row in 2D y-array are identical

Question 3

[xmesh, ymesh] = meshgrid(xVals, yVals)

Answer 3

replicated 1D array xvals and ovals to make data grid with output coordinate arrays

Question 4

[xndGrid, yndGrid] = ndgrid(xVals, yVals)

Answer 4

replicates 1D arrays, ovals and y vals, to make data grid and transpose values

Question 5

dimensions of a grid

Answer 5

length(xVals) x length(yVals)

Question 6

surf(x, y, z)

Answer 6

makes surface plot
(z = color data, x & y are 1D/2D arrays for coordinates)

Question 7

surfc(x, y, z)

Answer 7

makes surface plot with contour lines

Question 8

mesh(x, y, z)

Answer 8

wire frame mesh

Question 9

meshc(x, y, z)

Answer 9

plots mesh with contour

Question 10

meshz(x,y,z)

Answer 10

plots curtain around mesh

Question 11

waterfall(x, y, z)

Answer 11

draws mesh similar to mesh but no lines from columns

Question 12

surfl(x, y,z)

Answer 12

plots surface plot with color map based on lighting

Question 13

shading(x, y, z)

Answer 13

sets color shading properties

Question 14

triplot(x, y, z)

Answer 14

triangle plot

Question 15

trimes(x, y, z)

Answer 15

triangle as mesh

Question 16

trisurf(x, y, z)

Answer 16

triangle as surface

Question 17

true or false, the size of a plot can change between iterations

Answer 17

false

Question 18

hold on;

Answer 18

displays additional points

Question 19

anonymous function

Answer 19

custom function defined directly in workspace and not stored in separate program

Question 20

anonymous function example

Answer 20

myFct = @(x)x+14

@ creates function handle
x is input
x + 14 is statement executed by function

Question 21

recursive function

Answer 21

function that calls itself using branches in computing

Question 22

symbolic variables

Answer 22

represent unknown numeric var like x

Question 23

create sym vars

Answer 23

sym(‘x’) or syms x

Question 24

sym(num, flag)

Answer 24

converts num to output specified by flag (num of floating)

Question 25

sym('A', [3 4])

Answer 25

creates symbolc matrix, values are listed as A3_2 for 3rd row 2nd column

Question 26

subs(s, old, new)

Answer 26

performs symbolic substitute and returns copt of s replacing all occurrences o old with new

Question 27

symvar

Answer 27

used to see which derivative will be taken by default

Question 28

formulas(f)

Answer 28

returns expressions defining symbolic function f

Question 29

symfun(formula, inputs)

Answer 29

returns symbolic function using inputs as x

Question 30

COMPOSE

Answer 30

function composition f(g(y))

Question 31

pretty(s)

Answer 31

prints symbolic expression in typeset form

Question 32

interpolation

Answer 32

estimates function values when only a few points are known, a line that goes through all points

Question 33

interpolating polynomial

Answer 33

of degree (n-1), goes through all n points

Question 34

piece wise linear interpolation

Answer 34

draws many small lines that connect every consecutive point, each measured data point is a endpoint of line

Question 35

third order polynomial

Answer 35

captures functional Vals and first/second order derivatives continuous at data points

Question 36

curve fitting

Answer 36

finds f(x) that best fits experimental data set, does not have to go though all points

Question 37

residual error

Answer 37

error between f(xk) and measured fk, cab ve positive or negative

Question 38

least squares reffression

Answer 38

finds best fit using residual error

Question 39

linear regression fit

Answer 39

seats functional relationship that is linear in terms of parameters

Question 40

nonlinear regression fit

Answer 40

seeks functional relationship that is nonlinear in terms of fitting constants like e