I figured it out. This is a complex number with only a real part. e.g.:
cn = \frac{sin(\frac{nπ}{2})}{nπ}
For even n, note that cn is equal to 0. The angle of a zero complex number is 0.
For n = 1, 5, 9, ..., c = a + bj, a is 1, b is 0. arctan(0/1) is 0 degrees.
For n = 3, 7...
Hi all.
Suppose I am looking for the following quantity: \sphericalangle cn, where cn = \frac{sin(\frac{nπ}{2})}{nπ}. cn is a complex number.
According to the book, "Signals and Systems" by Edward Kamen 2nd. Ed., \sphericalangle cn = π for n = 3, 7, 11 ... , and cn = 0, for all other n.
The...
Thanks for the response. After mulling it over, I've figured it out:
One must treat f(t) in cos(t) * f(t) as simply any function (it doesn't matter what it is). After converting the cos(t) to exponentials (through) identities, one realizes that cos(t) affects f(t) through time-shifting...
I am given a function f(t) with it's corresponding Laplace Transform in the Frequency Domain (F(s)).
I'm having a hard time wrapping my head around the product of say, L{cos(t)*f(t)}. The * is multiplication and not convolution. Must I do the integration for the Laplace transform by hand...
Thanks DeadBeef. I think this is the response I needed to hear. I've been breaking the process down step-by-step and "sentence by sentence" as you say. The study of complex analysis (or the review...) gave me some insight on how some of these optimizations work.
Thanks! Will continue on...
Fourier Transform -- Completely Flustered About Recursive FFT
Hi all.
I have been banging my head about this problem for the last week and a half-- Fourier Transform. Some background about me: I am a rising Junior at an accredited university majoring in Computer Engineering & Computer...
Hi all.
I have a 4 input circuit (ABCD). I have 7 outputs that accompany this circuit. Now, I have tools (like Karnaugh maps) to solve for Standard Sum of Products (or Product of Sum) form for individual outputs. I have the minimum of each output based on the Karnaugh map.
However, I want...
I see. Based on your chart, I may have gained some insight. Let me clarify-- so we're not supposed to use all of the resistances in the circuit?
Is it correct to assume that to calculate Vab, I may simply just find the potential difference between Va and Vb?
e.g.: according your chart, Vab...
Homework Statement
Basically, find Vab
[PLAIN]http://carlodelmundo.com/hw/circuit.png [Broken]
Is this correct -- note: please tell me that my methodology is sound; DO NOT GIVE ME A NUMERICAL ANSWER.
The problem asks for VAB. What's weird to me is that there is a potential across...
Hi.
I'm trying to decipher the differences between the machine architecture and microarchitecture.
I believe Machine Architecture is:
The ISA (such as x86)
Von Neumann Model for Computing?
and I believe the Micro Architecture is:
Specific implementation of some arbitrary ISA...
The reason why I asked because I couldn't decipher why a particular textbook portrayed NAND and NOR gates with a specific implementation.
I wanted to make the distinction that this is only ONE way of implementing a particular gate. However, you just answered it: it is non-unique but the idea...
I am learning about the implementations of digital logic gates using n-type and p-type transistors.
With the advent of these two transistors, isn't it possible to have more than one implementation of the NAND gate?
Homework Statement
I am given the binary equivalent of ASCII codes and I am asked to decode a particular binary message (ASCII binary to actual ASCII character).
I am required to write it in C. Where can I get a text file of the ASCII code so I may create a look up table?
I googled...
If I recall correctly, I am going to be packaging in the IC level. The issue of thermal heat transfer (to properly release heat from the components) was also discussed. I am assuming this is part of a trial-and-error back-of-the-envelope calculation sort of thing? Or is there really a text...
Hi,
I will be volunteering my time helping my professor in the realm of "electronic packaging." There doesn't seem to be a lot of straightforward tutorials on electronic packaging, could anyone guide me with the proper resources so I can take a look?
Thanks
Carlo
It seems complex but one can break it into pieces to simplify the problem.
\sum^{\infty}_{n=0} \frac{1}{1+z^{n}}
We are looking for the convergence of the series for differing values of z where possible values of z are from (-inf, +inf). Keep also in mind that n is always a positive integer...
I've always thought of 'radius of convergence' in terms of power series. This is not a power series.
EDIT: This answer is wrong see my below post. Upon inspection, it looks like it converges for values greater than 1 as you say (by looking at its limits for different values of z).
As you said, if you let t = cos x - 1. Then naturally you'll get r3(p3(x)). Note that you forgot to cancel out the -1 (ie: 1 + -1 = 0 when substituting t for cos x - 1).
True. The expression is indeed complicated, but remember: the question asks you to write the series to the third order...
Hi estro,
Here are some questions that can get you started:
What is the difference between MacLaurin vs. Taylor Series? (Hint: Is MacLaurin centered at any point?)
What does it mean for a polynomial to have order 3? (Hint: Look at the exponent)
What is the infinite series equivalent of cos...
I understand that when we apply voltage to the Base of the PNP Transistor (Emitter, Base, Collector), we actually block current from passing from Emitter to Current.
If there is no voltage applied to base, then current flows freely.
If this is the case..... how come when I wire the...
Going a mile further...
{A} is a subset of B in this example because....
Every element in {A} is in B.
The only element of the set of sets is A. A is the set of all integers. {A} therefore is the subset of B.
------------------------------------------------------------
{{A}} is a subset...
My question:
Why are we comparing set A (the set of all integers) on an element-by-element basis? I agree that "3" is an element of A such that A = { ...,-1,0,1,0,1,2,3...}.
I agree that "3" is neither the set of integers A = { ...,-1,0,1,0,1,2,3...} nor the set containing the set of...
Right. There is Calculus AB and Calculus BC.
From what I recall from a few years ago:
AB covers from Limits, Derivatives, Optimization, Newton's Method, Linearization, Related Rates, Integration + By parts, Volumes of Rotated Shapes, some Differential Equations
BC covers that plus Infinite...
Homework Statement
Let their be a set A, and let B be the set: {A, {A}} (the set containing the elements A and the
set that contains element A)
As you know, A is an element of B and {A} is also an element of B.
Also, {A} is a subset of B and {{A}} is also a subset of B.
However...
Hi StoneBridge,
Thanks for your response. How do I account for the kinetic energy of the linear 'falling of the mass' when I am only given the velocity?
For the right hand side of the equation, do I just include another kinetic energy term (... KE = (1/2)Mv^2)
Would that account for the...