Do the following additions in 8-bit binary two's complement:
a) 01110110 + 10001001 = (64+32+16+4+2) + (-(64+32+16+4+2+1)) = 118 -119 = -1
b) 11010101 + 10101010 = -(64+16+4+1) + (-(64+16+4+1+1)) = -86 -87 = -171
Have I done these correctly?
I'm looking to build my own desk addition that will allow me to raise and lower my work setup (keyboard, mouse and monitor) any time I like and with a fair amount of ease. I was inspired by the "Ergotron Workfit" but find the price tag beyond my range for now.
Attached is a laughably...
Homework Statement
true or false ..
The system {S,+,.} with S = { matrix (a,b,a-b,a)|a,b ∊ R)
is not a field under matrix addition (+) and matrix multiplication (.)
i find that the statement is false .
since : 1. {S,+} is Abelian group.
2. {S,.} : is Abelian group.
is...
Hello,
I have a linear algebra problem that I need help with.
Basically, I need to get the eigenvalues and eigenvectors of several (sometimes tens of thousands) very large matrices (6^n x 6^n, where n>= 3, to be specific). Currently, we are just using MATLAB's eig() function to get them. I...
Homework Statement
DB+CA^T-2A
D=3row x 3col
B=2x2
C=2row X 3col
A=3row X 2col
The Attempt at a Solution
It is my understanding that a row of a matrix is horizontal variables and a column is the vertical variables. And for multiplication of two matrices you need the colums of...
So I just finished learning about the derivation of the addition of velocities...this should imply that I am a newcomer to relativity. So here's my question:
We have a rocket that is traveling away from a lab at the relative velocity of c. (I know this is impossible because it would take...
The Attempt at a Solution
I think I may of been too general with the volume in finding M_0
I'm assuming r_0 = r_M although I'm not sure why different notation is used thougj
http://imageshack.us/photo/my-images/3/gravscan.jpg/
Initial Compound is like this
Ph---CO---O----CO----CH3.(Ph means phenyl)
It is reacted with H3O+. What will be product? I think first attack will be at carbonyl carbon near methyl. Because phenyl ring will donate electrons to carbonyl group near it and make it less attractive towards...
Homework Statement
Vectors A and B have equal magnitudes of 10.0. If the sum of A and B is the vector 3.13j , determine the angle between A and B
Homework Equations
none
The Attempt at a Solution
I gave both A and B the length r=10
I don't know how to add them together if I don't...
Homework Statement
There are two forces on the 3.2 kg box in the overhead view of the figure below but only one is shown. The figure also shows the acceleration of the box. F1 is in Q I and F2 is in Q III
a = 12m/s2
there is a picture here that I do not know how to upload -- it shows F1 in...
Homework Statement
A plane must fly to a destination located due north from its departure point. A gentle wind is blowing from the south-west. What direction must the plane point to reach its destination?
Homework Equations
The Attempt at a Solution...
Homework Statement
This isn't strictly a homework question as I've already graduated and now work as a web developer. However, I'm attempting to recover my ability to do physics (it's been a few months now) by working my way through the problems in Analytical Mechanics (Hand and Finch) in my...
Homework Statement
How do you add the normal forces together after you derive the x and y component?
Homework Equations
Normal force = m*g*sinθ (y component)
Normal force = m*g *cosθ (x- component)
The Attempt at a Solution
Bottom line is I'm trying to get the Net Force...
Homework Statement
I need to create a program that will prompt for two integers, echo those integers, and then multiply them without using the multiplication operation and report the result.
Homework Equations
The following is what I have so far. The prompts and echoes work, however I do...
Thanks in advance. 1st day at calculus teacher wants proofs. They seem rudimentary but I've never done them and he doesn't help so I'm hoping someone here could please.
These are the axioms:
Addition:
For a, b, and c taken from the real numbers
A1: a+b is a real number also (closure)
A2...
Homework Statement
Two vectors are given by a = 2.3 x - 9.7 y and b = -18.6 x + 2.8 y. What is the magnitude of a?
What is the angle between vector b and the positive x-axis?
What is the magnitude of the vector a + b?
Homework Equations
I don't know
The Attempt at a Solution...
This a book example that I have the answer to but do not understand.
What are the magnitude and direction of the total displacement for the treasure hunt? The instructions to find the treasure are 5 paces North, 3 paces East, then 4 paces Southeast. Each pace is 0.750 m in length.
So I...
Hello PF People,
This is probably a very simple question but I don't really get it.
In Lippmann Schwinger Equation we add an infinitesimal term to the denominator in order to avoid singularity for when E is an eigenvalue of \hat{H}_0. This is fine, but why it has to be a complex number...
Is this correct...proving function addition is associative?
Homework Statement
Let F be the set of all real-valued functions having as domain the set ℝ of all real number. Prove that function addition + on F is associative.
Homework Equations
The Attempt at a Solution
I'm...
Should be quite easy, really, given that it's just adding things together, hey ho.
Problem
a position vector of point (1), identified by sherical coordinates, is 5m away from point (2).
I have a unit vector R1,2 identified by spherical coordinates [Aex - Bey +Cez], giving the direction to...
I'm working on an assignment for a computer science course. The professor did not give very good instruction, and I can't find very much information about the subject online. We are supposed to use this http://www.anne-gert.nl/projects/simpsim/ program to preform various operations including...
I am having a problem coming up with an empirical formula for multiple objects moving with the same speed relative to each one up.
I.e. there is a cart moving with speed u relative to me, and inside it is a cart moving speed u relative to the cart is inside it. and inside that cart is a cart...
Homework Statement
http://img824.imageshack.us/img824/3849/screenshot20120122at124.png
The Attempt at a Solution
Let S = \left\{ S_1,...,S_n \right\} . If L(S) = V, then T = \left\{ 0 \right\} and we are done because S + T = V. Suppose that L(S) ≠ V. Let B_1 \in T such that B_1 \notin...
Homework Statement
If A, B, and C are the vertices of a triangle, find the following.
(A→B) + (B→C) + (C→A)
The answer has to be given like this:
_____ i + _____ j
2. Homework Equations (I think?)
a+b=b+a
a+(b+c)=(a+b)+c
a+0=a
a+(-a)=0
c(a+b)=ca+cb
(c+d)a=ca+da
(cd)a=c(da)...
Homework Statement
http://img824.imageshack.us/img824/3849/screenshot20120122at124.png
The Attempt at a Solution
Let S = \left\{ S_1,...,S_n \right\} . If L(S) = V, then T = \left\{ 0 \right\} and we are done because S + T = V. Suppose that L(S) ≠ V. Let B_1 \in T such that B_1 \notin...
Homework Statement
http://img21.imageshack.us/img21/4580/screenshot20120117at218.png
The Attempt at a Solutiona) Suppose we have two arbitrary vectors of E, call them X,Y. Let X = (2x,x) where x is in R and let Y = (2y,y) where y is in R. If we add X and Y we have (2x,x) + (2y,y) =...
Homework Statement
http://img854.imageshack.us/img854/5683/screenshot20120116at401.png
The Attempt at a SolutionSo we have that A + B is a vector in S + T, where A is an element of S and B is an element of T. Suppose there is another vector A' + B' also in S + T, where A' is an element of S...
This seems to be a very perplexing problem to which there is much difficulty of making sense of. So instead of trying to rewrite the problem in pieces, I've decided to provide the entire image leading up to the question so that you are seeing what I'm seeing. Hopefully, if I can describe where...
Homework Statement
http://img854.imageshack.us/img854/5683/screenshot20120116at401.png
The Attempt at a SolutionSo we have that A + B is a vector in S + T, where A is an element of S and B is an element of T. Suppose there is another vector A' + B' also in S + T, where A' is an element of S...
Homework Statement
Find y component of vector C from its length and the angle it makes with the x axis, that is, from geometry. Express the y component of vector C in terms of C and \phi.
Homework Equations
Vector addition using geometry:
1) C = \sqrt{A^{2}+B^{2}-2ABcos(c)}...
Homework Statement
Add each set of vectors by using the scale diagram
C=28km 20 degrees north of east; D=34 km 30 degrees west of north
Homework Equations
The Attempt at a Solution
Attempted to create a triangle with a right angle; then Pythagorean
Air rises in water at about one foot per second of time. If a container of air has a lifting force of 100 Lbs and rises at one foot per second what happens when a 10 lb weight is attached to it? What is its speed in the water then? What about 50 Lbs? or 90 Lbs? What is the speed reduction to...
Homework Statement
Sudhir walks 0.40 km in a direction 60.0° west of north, then goes 0.50 km due west. What is his displacement?
Homework Equations
According to my textbook, the equations are:
Ax = A cos θ
Ay = A sin θ
Bx = B cos θ
By = B sin θ
θ = tan-1 opposite side/adjacent side...
Homework Statement
I set out on a compass heading of 15.0 degrees west of south for 23.4km.
I turn 20.5 degrees east of south and travel another 32.0km.
What is my displacement?
Homework Equations
I'm not sure if there are any. But these should help.
Ax = A cos θ
Ay = A...
I like to try and derive little things by myself if I think it is manageable. One such thing is the addition of velocities. I gave it a stab, got an answer, and it turned out to be wrong. So tell me where my logic messes up.
There's a spaceship moving at velocity u1. A man in the spaceship...
Homework Statement
This problem is broken into 5 parts:
(1) Let E={(2a,a)|a∈ℝ}. Is E a subspace of R2?
(2) Let B={(b,b)|b∈ℝ}. Is B a subspace of R2?
(3) What is E\capB?
(4) Is E\cupB a subspace of R2?
(5) What is E+B
Homework Equations
E={(2a,a)|a∈ℝ}
B={(b,b)|b∈ℝ}
The Attempt...
Homework Statement
Solve the equation: sin(x+∏/6)=2cosx for 0≤x≤2∏
Homework Equations
sinAcosB+cosAsinB
The Attempt at a Solution
sin(x+∏/6)=2cosx
2cosx=(√3)/2sinx+1/2cosx
How do I solve from here?
Homework Statement
Solve the equation cos(x-60)=sinx
Homework Equations
cosAcosB+sinAsinB
The Attempt at a Solution
cos(x-60)=sinx
cosxcos60+sinxsin60=sinx
1/2cosx+(√3)/2sinx=sinx
How do I then solve to find x for0<x<360
Homework Statement
Find the resultant for the following directions.
20 degrees east of south for 1/2"
80 degrees South of west for 5"
15 degrees west of north for 1"
35 degrees North of East for 3"
40 degrees South of East for 1"Homework Equations
R2 = a2 + b2
The Attempt at a Solution
i...
When I was in grade school my father told me about a method of checking my addition when I added columns of numbers. I hold degrees in mechanical engineering but none of my math courses ever broached this subject as it is pretty much useless for engineering type problems.
Suppose you added...
Homework Statement
A = 2i + 3j
B = -5i + 6j
Calculate (draw vector diagram)
A + B
A - B
Homework Equations
actually we're just confused as to whether we need to use the angles to answer this or just answer it directly, meaning that for A + B the answer would be -3i + 9j
The...
Hi
I am looking for a simulation software to demonstrate addition of waves with different amplitudes, frequencies , velocities. So I should be able to define , say , 2 to 3 component
waves and the output will give me the addition of these waves. I think showing actual
simulation helps...
Homework Statement
l~m\rangle
l=l_1+l_2
l_1=2,l_2=1
Find eigenstates(ofL_z) |2~0\rangle
Homework Equations
The Attempt at a Solution
|l=3~m=3\rangle=|l_1=2~m_1=2\rangle|l_2=1~m_2=1 \rangle. I do L_-=L_{1-}+L_{2-} 3times.
So I get |3~0\rangle= (omit)
Then How can I find...
I am having a lot of trouble with my homework. If anyone could help me, it would be much appreciated.
The Smith's go on vacation. They travel 16.0 km north/west; then turn 27 degrees to the left and go 135 km; then 294 km south/west. What is their displacement from home?
So I found the X...
Homework Statement
Define x(t)=5cos(wt)+5cos(wt+120)+5cos(wt-120)
simplify x(t) into the standard sinusoidal form:x(t)= A cos(wt+phase).Use phasors to do the algebra.Homework Equations
The Attempt at a Solution
i know it needs to use phasor addition rule.
First,i represent x1(t),x2(t),x3(t) by...
(If there is confusion about course content, see links at bottom of post for course descriptions.)
So looking ahead to the next 3 semesters, I can plainly see what classes I NEED to take for Physics.. but they leave room for courses in other disciplines -- for example Engineering, Computer...
Homework Statement
010110000000000
011001000000000
001100010000000
100100001000000
110100000000100
111100000000001
+
-------------------
Homework Equations
The Attempt at a Solution
The answer I get is 1010111011000101
but I have used MATLAB and the first four digits are...
Homework Statement
relative to A, B is moving towards A at a speed of 0.4c. Farther out C is moving towards A at a speed of 0.5c. all motion is along the x-axis
how fast is C moving relative to B?
Homework Equations
U = (U' + V) / 1+ VU'/c^2
The Attempt at a Solution...
Homework Statement
prove that if a~a' then a+b ~ a' + b
Homework Equations
The Attempt at a Solution
I can prove that if a=a' then a+b = a' + b but how can I apply this to any equivalence relation