has any work been done trying to understand the properties of long chains of oscillatory functions?
like f(x) = sin(sin(sin(sin(cos(sin(cos(x))))))) for example, or something like e^e^e^e^e^e^e^e^e^e^z)
Okay so I need help with 2 problems. One I did a bunch of work for but I am not sure if my answers right, and the second I'm not sure how to start it.
The first problem:
A real estate office handles 50 apartment units. When the rent is $720 per month, all units are occupied. However, on...
Sorry if I sound naive but why do so many Linear Algebra books have the titles "and applications" only to give maybe one snippet of applications in each chapter.. I feel ripped off by those titles. I have Linear Algebra with Applications by Strang, Linear Algebra And Its Applications by David C...
any help with me understanding this problem would be very much appreciated.
Homework Statement
show,
^{π/2}_{0}\int cos^{5}xdx = 8/15
hence show
^{π/2}_{0}\int sin^{5}xdx = ^{π/2}_{0}\int cos^{5}xdx
where,
cos^{5}θ = \frac{cos5θ + 5cos3θ + 10cosθ}{16}
sin^{5}θ = \frac{sin5θ -...
Homework Statement
We want to construct a box with a square base and we only have 10 m2 of material to use in construction of the box. Assuming that all the material is used in the construction process determine the maximum volume that the box can have.
Homework Equations
Chain rule...
Firstly, an open statement to everyone in this forum.
I am in search of some answers to questions I have so that I may have a better understanding of this research.
For this reason I have posted this so that through all of you my lack of education or some may refer to ignorance I may be...
Hey all,
I started reading up on string theory the other day, and a colleague told me that string theory is already being applied in communications. He said that it is being used to account for the effect of gravitation on electromagnetic waves.
This seems a little too hard to believe...
I'm trying to think of real-world applications of the standard model of particle physics, but can't come up with anything.
Are there any technological applications in which neither non-relativistic quantum mechanics nor Dirac's relativistic wave mechanics is insufficient, and QED must be used...
Nature of "Real" Applications Quantum Mechanics
I've heard of several applications of quantum mechanics such as atomic clocks, transistors, lasers, etc. I understand how we need quantum mechanics to understand what's going on, but how exactly is quantum mechanics used in any sort of "real...
Hi, I have a project where I have to speak about some applications of the mass continuity equation for fluids. I only found this http://www.efm.leeds.ac.uk/CIVE/CIVE1400/Section3/continuity.htm, but that's not enough. What else do you think I can speak about?
I'm extremely raged right now, I see people applying Bernoulli's equation at fans, atmonizers etc. Let's look at the classic example where you blow through a straw and make liquid be drawn up from a can (through a second straw)...
Lets say you are a prospective applicant to an Engineering Grad School: What sorts of ECAs should you get involved in that make you look attractive to phd programs and where exactly do you put them ( resume?)? I mean things like : Volunteering, research in a different subject, part-time jobs...
I live in the UK and I am hoping to start a PhD next October, so currently I am emailing potential supervisors about projects which I usually start off with a cover letter and a CV, however I don't seem to be getting any replies back! This includes some professors who I have emailed before...
Hey guys,
As you can see this is my first post on the forum. I came here hoping to find some ideas for doing research with Schlieren photography. I am currently a senior in university and want to do research in physics for my final semester here. I came across Schlieren photography while...
If any of you guys are seeing or saw this app. for linear algebra in your classes, I could use a hand...
Homework Statement
A Hill 2-cipher is intercepted that starts with the pairs SL HK
Find the deciphering and enciphering matrices, given that the plaintext is known to start with the...
I was given a problem by a professor to prove the following problem:
Anyway, I have done this but am supposed to remark on possible applications. I'm not sure to what I could apply this though. Maybe something to do with ergodics? Any suggestions would be appreciated.
As the title suggests, I am going to graduate with a BS in physics, (graduating in spring 2013) I want to go into mechanical engineering, so I am looking into masters programs (If I wanted a PhD I would get one in physics, but I don't so engineering here I come) I know I will most likely need to...
Hey guys,
First time posting. I was thinking of starting an extra credit paper for my Physics 1A course, and was wondering if anybody could think of any noteworthy and recent applications of classical mechanics that I could do some research on. I was thinking of maybe pursuing dark matter as...
Homework Statement
At a seaport, the depth of the water h metres at time t hours during a certain day is given by this formula:
Q: What is the maximum depth of the water? When does it occur?
Homework Equations
h = 1.8 sin 2pi [(t - 4)/12.4] + 3.1
The Attempt at a Solution
4.9 = 1.8sin 2pi...
Homework Statement
N refers to the set of all natural numbers.
Part 2: From the previous problem, we have σn : N → N for all n ε N.
Show that for any n ε N, σ(n+1)(N) is a subset of σn(N), where we have
used n + 1 for σ(n) as we defined in class.
2. The attempt at a solution
For Part 2, I...
Hi, I'm a newbie...
I came to know that there are many types of transistors available in the market with high, middle, and low β values.But, I don't have any idea about applications of each in detail.Can anybody tell me the applications of high β, middle β, and low β valued CE...
Greetings, I’m constructing a machine that involves a linear actuator powered by a 12vdc motor. My linear actuator has a foot that crushes an aluminum soda can until the motor’s torque maxes out and it stalls. The machine is intermittent duty at about 6 seconds of use every 3 minutes. My machine...
Homework Statement
Applications of Integration: y=x^2+1 and y=sq root(1-x^2)
the graph (shown in the book) shows two curves from the two given equations (one obivously positive and the other negative) the shaded area is in between the two curves
the bounds are x=1 and the shaded area is...
So, I am taking introduction to real analysis next semester, and I heard that it may be a challenging course. But what I want to know is the applications of real analysis, which I imagine there are some of, considering how the phrase "real analysis" seem to be thrown around quite a bit. Thanks.
My supervisor always talks about how a problem is convex or its nonconvex and we want to convexify it.
I understand that convexity gives a lot of advantages for optimization, and I understand the geometric definition of convexity.
How does my supervisor know something is convex? Like a...
Hey...
I want to consider my research work on DFB laser as Sensor applicstions.
I need to write a Research proposal on this topics. DFB Laser/DFB Fiber Laser as sensor for Hydrophone, Accelerometer, Seismic operation, Aerodynamics sensor, Flow control, Humidity Control, Temperature control...
Homework Statement
Stoke's law states that retarding force is proportional to velocity. An example is falling rain drop in air.
My book states that " if a rain drop falls, it accelerates initially due to gravity. As the velocity increases, the retarding force force also increases...
Dear Everybody!
I'm searching for some real life applications of partial derivatives. I would be very thankful, if you sent me some example.
Thanks from Hungary.
Homework Statement
Hi what are some biomedical applications for
- low pass filter
- high pass filter
- band pass filter
- band stop filter
Homework Equations
-nil-
The Attempt at a Solution
filtering out high frequency noise? eg. handphone signals
So I've been wondering for a long time: How are conics studied in Calculus and Analytic Geometry? Also, how are they applied in real-life situations, whether it's something as simple as construction, or something as complex as physics and engineering.
Ever since I studied conics in my...
Hi all
I want you to give a comparison between PTFE / PCTFE / Viton / EPDM O-ring considering these points :
• nonflammability
• excellent chemical resistance to all inorganic corrosive fluids
• Thermal resistance
• friction
• practically zero moisture absorption
• excellent...
I am reading some papers that mention evanescent waves. From what I can find, evanescent waves occur because of the Maxwell Boundary Conditions but I don't really see how. Could some please comment on this or just on the general topic. Thanks!
Can you think of some recent advances in Maths (i.e. an physics undergrad won't know) that are at least vaguely related to some real world applications (i.e. life would be harder without them)?
Some new tools, tricks or methods?
Maybe some new concept apart from algorithmic improvements for speed.
What is the rating of conventional rewirable fuse, MCB etc.
What is the rating of polyfuse(resettable fuse or PPTC fuse). Polyfuse are normally used in electronic circuits.
Can we replace conventional household power supply main rewirable fuse with these polyfuse. Is it available in such...
The Aharonov-Bohm effects show how a electro-magnetic field could affect a region of space in which the field had been shielded, although its vector potential did exist there and could interact with the wave function of say the electron.
What practical application(s) (so far) can be derived...
Homework Statement
Vande Graff generator is used to generate potential difference to the order of 107 volts to accelerate charged particles.
Homework Equations
My question is, " Will this voltage can be used to accelerate electrons or it is merely confined to accelerating positive...
Hey guys,
I am running a homepage showing programs I created, as well as some artistic endeavors: www.airlich.de
Within the next couple of weeks, I intend to write many emails asking informally about the availability of PhD positions. I am going to keep these emails short and won't cludder...
That's what a friend told me atleast. He said that electrical engineers are starting to use way more advance physics for applications. And if this is true, what are the applications of it in the eyes of a electrical engineer?
Also, do electrical engineers use mathematics such as banach space...
Okay, in the Escape Velocity Equation, with the usual notations,
v2=2gR2/r + (v02-2gR)
a few articles like [PLAIN]"www.math.binghamton.edu/erik/teaching/02-separable.pdf"[/URL]give the following explanation:
...
...
...(implying that v0>=√2gR)
That raises a few doubts in my mind...
Hi, I did this video using mathematica.
https://www.youtube.com/watch?v=FFxrHTfWegk
It shows different patterns formed by Maurer Roses, see description on youtube.
Does somebody know any application of this?
Hi all,
I know that Frenet–Serret formulas are:
dT/ds=kN
dN/ds=-kT+fB
dB/ds=-fN
and also that this formula effectively defines the curvature and torsion of a space curve (http://en.wikipedia.org/wiki/Frenet–Serret_formulas), but:
1) Where else one can find those equations?
2) Do you have...
A mass M at To =0 s has a speed of lVol in the positive X direction. The floor has a coefficient of static friction of Us and a coefficient of kinetic friction of Uk. How far will the mass M travel?
mass = M
@ To = 0s
speed = Vo
coefficient of static friction = Us
coefficient of Kinetic...
Hey guys,
I was wondering if you could just check this problem for me (I put it in a Word Document and attached it to this post).
The problem, my work, and my attempted solution is included in it.
Thanks!
Homework Statement
The volume of an air mattress is 15 cubic feet. Air escapes at a rate of r(t)=0.25e^(−0.05t), where r is in cubic feet per second. Assuming the mattress is still completely inflated when the valve is opened, how much air is released in the first 30 seconds?Homework Equations...
Hi,
for a University project I need to find areas of application for a special carbon fibre composite design process. This process makes it possible to optimize several properties of the carbon composite at once.
For example it is possible to develop structures that provide several...