The degree of every vertex of a graph G of order \[2n+1 \geq 5\] is either n+1 or n+2. Prove that G contains at least n+1 vertices of degree n+2 or at least n+2 vertex
Two waves are perfectly superposed (traveling same direction), but are 90 degrees out of phase. Does this result in destructive or constructive interference, as the waves could be seen as either half anti-phase or half in-phase. For example, the first wave has an amplitude of 1. The second wave...
Homework Statement
I have a 13.56MHz signal to be used in a power sensor. However, in order for it to go through the RF/IF Phase and Gain Detector [AD8302], I need to shift the phase of this 13.56MHz signal by +90 degrees.
I want to avoid using Transistors, due to the variation in β of...
Homework Statement
A comet passes the sun at it's perihelion 5*1010 meters going 1*105 meters/second. Take the mass of the sun to be 2*1030.
a.) Will the comet return to this point? If so, how long until that happens?
b.) How long will it take to travel from perihelion to 60 degrees...
Hi,
I've been asked to find $[ \mathbb{Q}(\sqrt{2}, i ): \mathbb{Q} ]$, and to write down a basis.
Now I know that $[ \mathbb{Q}(\sqrt{2}, i ): \mathbb{Q} ] = 4$, and that a basis could be $ \left \{ 1, i, \sqrt{2}, i\sqrt{2}\right \} $ it is whether the way I am explaining how I arrived here...
In another thread I found someone mention this program at Boston U (http://www.bu.edu/eng/academics/special-programs/leap/) for students with bachelors in non-engineering fields, like liberal arts + humanities, that can do the makeup coursework and then attain a masters in engineering.
I'm...
Hi! I am a senior undergraduate student. I am really interested in math and would like to pursue it further, but I will not have time to finish a math major before the end of the year. (I'm close, but I started as a creative writing major and haven't had time to pick up the last 3 or so math...
Homework Statement
A ship is traveling at a speed of .8c. When the ship is 90 degrees from the target, it shoots a laser downwards. What angle must it shoot the laser to hit the target?
Homework Equations
\mu_{x}=0
\mu_{y}=-c
\mu_{x}'=\frac{mu_{x}-v}{1-\frac{v*mu_{x}}{c^{2}}}=-v...
I have decided to major my engineering degree in Electrical and Computer Engineering, however I only start this year.
I am interested in the field of robotics, specifically the side of the programming, developing intelligent machines and artificial intelligence etc.
My question is, would...
I just want to know if there is now a way to solve fractions like which had a variables that has a degree more than 2 in its denominator. I know that denominators having degrees of 2 could be solved using
(Ax + B)/(x2+a).
But how about denominators like (x3+a) and so on?
how to turn my robot 90 degrees ??
firstly I am an arabian so I wish you can talk an easy accent ^^
I will try to tell you every thing about my project in english
am working on robot which makes a square
but I couldn't turn it 90 degrees exactly
my robot has two motors dc...
Homework Statement
Two cars collide at right angle in the intersection of two icy roads. Car A has a mass of 1000 kg and car B 1400 kg. The cars become entangled and moved off together with a common velocity v’ in the direction indicated in figure QB4. If car A was traveling 10 m/s at the...
I'm currently in the 12th Grade and the only course in Physics that the college that I am aiming for has is an integrated MSc degree. So in 5 years time, I will be walking out with an MSc degree in my hands with no intermediate BSc degree. What I wanted to know is whether I will be able to apply...
I'm not quite sure I get the idea of a degree of freedom for a system. First of all: Is there freedom in characterizing the DOF for a system - i.e. will specifying the DOF for a system relative to any coordinate system always be the same?
Next let me do an example: If we have 2 particles free...
i wonder how can a non linear triatomic gas molecule have 6 degrees of freedom.As per me three of those will come from translational motion,two from rotational and two from vibrational modes.so it should be 7.
could you please tell me where am i going wrong.
note:the triatomic gas molecule has...
I am interested in a car's transition from zero cornering force (just before entering a corner) to maximum cornering force (somewhere in the corner). In particular, I would like to know how far into the corner it takes (in degrees) for this transition to happen.
Assume a car is capable of...
Is it possible to "pump" a swing 360 degrees?
Homework Statement
Is it possible to "pump" a swing so that it turns in a complete circle? Assume if you wish that the seat of the swing is connected to its support by rigid rod rather than a rope or chain.
Homework Equations
Angular momentum...
Force With Angles!
Homework Statement
A child pulls a wagon with a force of 59 N by a handle making an angle of 20 degrees with the horizontal. If the wagon has a mass of 5.2 kg, to the nearest hundredth of a m/s2 what is the acceleration of the wagon?
Homework Equations
ƩF=ma
The...
Homework Statement
Find the equation of the line through the point (-5,-4,2) that intersects the line at r = (7,-13,8) +t(1,2,-2) at 90 degrees.
Homework Equations
I guess that using the dot product for the direction vector of the line needed, (x,y,z) , with the direction of the given...
I'm planning to major in physics at my university. However, this will be a second degree. My first was a 3 year biology degree 7 years ago. I'm interested in the job prospects of the various physics degrees and since my university is a small undergraduate school, they offer multiple...
I'm looking for a conceptual explanation of a formula in Quantum Mechanics Demystified introduction. They introduce you to the theoretical black body radiation experiment, where demonstrated how a classical approach leads to the ultraviolet catastrophe.
In the explanation they have the...
What happens then if one has applied a static magnetic field to a heat conductor? Could the temperature increase as a result of reducing the degrees of freedom, increasing the ability for heat to be transferred from that body to others?
Homework Statement
On a very muddy football field, a 110 kg linebacker tackles an 85 kg halfback. Immediately before the collision, the linebacker is slipping with a velocity of 8.8 m/s north and the halfback is sliding with a velocity of 7.4 m/s east.
A.) What is the magnitude of the...
Hello, I am in my first year in college and my major is COMPUTER ENGINEERING. However I just learned that computer engineering is supposed to be about hardware stuff, and I love programming and coding, so that means the software stuff. My dream job would be to work at Apple, Microsoft or Google...
Homework Statement
If x is measured in radians, then the derivative of Sin[x] with respect to x is Cos[x].
Use the formula Sin [x degrees] = Sin [2π/360 x radians]
to calculate the derivative of Sin [x degrees] with respect to x.
Why does the resulting formula make calculus difficult...
Homework Statement
Describe how to rotate the plane of polarization of a plane-polarized beam of light by $90^\circ$ and produce only a 10 percent loss in intensity using "perfect" polarizers.
The solution says to use 24 polarizers, with each at an angle of $3.75^\circ$ with the next...
Having some trouble following my notes in QFT. Any help greatly appreciated.
We have the Klein Gordon equation for a real scalar field \phi\left(\overline{x},t\right); \partial_{\mu}\partial^{\mu}\phi + m^{2}\phi = 0.
To exhibit the coordinates in which the degrees of freedom decouple...
Let's say you have 2 identical springs
Let's say length = 1m
Spring constant = 0.5
You attach each spring to the ceiling and a mass. The springs make a 30 degree angle with the ceiling. Basically the system forms a triangle...
Is it OK to say that the effective spring constant of the...
I'm trying to compare fits to data in a certain way. I start with the initial data and fit and compute the \chi^2 value for example:
x: 1 2 3 4
y: 2.1 3.9 6.0 10.1
I get the linear fit, \chi^2 value and degrees of freedom=3.
Now with what I'm working with, I don't actually know the...
Bit of background about me. It's a bit long, but I really need advice.
I am a 24 year old living in an economically hard hit area of the country. I have dual degrees in psychology and english, and am currently working in a job that doesn't require my degrees. Originally, I went to school...
Homework Statement
A mass of 100g is supported by two identical springs of negligible mass having spring constants k= 50 dynes/cm. In the equilibrium position, the springs make an angle of 30 degree with the horizontal and are 100 cm in length. If the mass, m, is pulled down a distance of...
I am wrighting a short introduction to dynamical systems, and I can't seem to understand when are we allowed to talk about the "degrees of freedom" of a dynamical system.
A system of one degree of freedom can be described by a 2nd order ordinary differential equation of the form...
Hi all!
I am currently trying to choose a degree to conjoint with my Engineering Degree. I was hoping I could call upon your infinite wisdom to assist me.
My options are as follows:
Commerce
Science
Business Management
Information Technology
No Conjoint
I'm leaning on the side of...
They say that the two degrees of freedom of a photon are its two helicity states.
Why are the energy or the momentum of a photon not degrees of freedom of a photon? They can differ and they are Lorentz invariant.
thanks
Hello all! I am going to begin the last year of my Bachelor's course in physics in about a month and it's about time to start searching for some Master's degree opportunities. I decided I might just as well try my luck at Cambridge but the problem (one of the many problems actually :P) is that...
What are the most lucrative college degrees?
Does having an MBA from Harvard guarantee that you will be a top executive of a fortune 500 company making almost 7-figures per year? Or a CEO making millions?
Does engineering pay more than medicine? What about law?
Apparently the only...
Homework Statement
62. In physics, it is important to use mathematical approximations.
(a) Demonstrate that for small angles (<20°)
tan a ~ sin a ~ a = (Pia'/180 degrees)
where a is in radians and a' is in degrees. (b) Use a calculator
to find the largest angle for which tan a may...
Hi Everyone,
I am looking for some help on this question
In Triangle EFG find the value of f, if e=7.3cm g=8.7cm and angle E= 73 degrees
This question is from the lesson "Cosine Law" and from what I understand you can use the cosine law if you have all three side lengths or 2 sides and...
First off, I apologize if I have posted this in the wrong thread.
Now in order for you guys to understand the basics of a luge board, I'll give you a short rundown.
Here is a skateboard (or luge) truck. It consist of the hanger and baseplate. The hanger is what the wheels are attached to...
Homework Statement
Find the E field of a parallel plate capacitor tilted at 45 degrees from vertical and moving at a speed v. each plate has plus or minus \sigma_0 for charge density.
The Attempt at a Solution
Well the E field in rest frame would be E= \frac{\sigma_0}{\epsilon_0}...
What happens at -273 oC?
(everything under 1atm)
I know about the cooling curve but just wondering what would happen to substances at absolute zero- does the temperature keep reducing/get harder?
Also, how do gases stay in gaseous form in outer space?
Many thanks in advance! :)
I know that water forms different kinds of crystals in different kind of temperatures but is there any temperature where water is solid but does not form crystals for example just above absolute zero degrees, what kind of crystals does it form?
In lecture 2 of his series on Classical Physics, Prof. Balakrishnan asks how many degrees of freedom there are in a system consisting of a falling piece of chalk. Looking at my notes, I'm not sure I understand the concept. Is the answer 6 (3 of position, 3 of orientation), or 12 (3 of position...
Hi, I'm wondering if there is such a study field which has to do with optics. meaning I've always wanted to work with stuff that looks into space and brings back images. Is this astronomy? or is there another thing. I'm really confused about everything since for now I'm just going to a community...
Hey, I was wondering what you can do with a university degree in physics or mathematics. I know one thing you can do with a physics degree is get a masters degree in astronomy, what are other things you can do, as well as things you can do with a mathematics degree? I really enjoy maths and...
This is from an advanced physics book, but is one of the first problems in the first chapter and only deals with vectors. The reported answer and mine do not coincide. For part (d) I get 35.26 degrees, the reported answer is 90 degrees. (Note: all variables are vectors)
Homework Statement...
Homework Statement
I'm working through a Law of Sines problem. And along the way, I have discovered that sin(C) = .9796.s
I had thought from my trig days that I could find the angle whose sine is .9796 by finding the arcsin of.9796. But when I load this into my TI89, all it does is...
Haelfix pointed out the paper http://arxiv.org/abs/1105.4733" , and Witten 2007 (discussed in that thread) expresses doubt that 4D gravity could be exactly solved, precisely because it has local excitations. And yet here Maloney et al have done it in 3 dimensions. Can something about their...
Hi my name is Marco,
I live in South Africa and currently studying a Bachelors degree in Mechanical Engineering. I first decided on mechanical because I enjoyed cars and learning how machines work. But after 2 years into the degree, I have started to lean more towards changing to industrial...
What are "education leadership" degrees?
At this years commencement, our University graduated something like 40 "Educational Leadership" doctoral students. Yesterday I was talking to my adviser and the graduation had come up and we were talking about it. Another professor had come by and...