Expressions Definition and 322 Threads

Homework Statement A particle with charge Q is located immediately above the center of the flat face of a hemisphere of radius R as shown in the figure below. (a) What is the electric flux through the curved surface? (Use any variable or symbol stated above along with the following as...

Question 1: http://imgur.com/Px0n152 Question 2: http://imgur.com/tZ0beF6 For Question 1, I got: (AB.CD) + [(CD)' . (AB)'] with a "." = multiplication and ' = complement. into (AB.CD) + [(CD+AB)'] I"m not sure how to simplify this further. Question 2 is really long and I would...

[SOLVED] Simplifying Expressions Hello all I am a bit confused about the laws I am learning about right now and attempted some of my own exercises to understand them a bit. I have the problem NOT(a < 20 AND (b < 10 OR b > 10)) and I need to simplify it. From my understanding I can use...

Homework Statement A long string of linear mass density μ_1 = 1.0 gr/cm is joined to a long string of linear mass density μ_2 = 4.0 gr/cm and the combination is held under constant tension. A transverse sinusoidal wave of amplitude A _i = 3.0 cm and wavelength λ =25 cm is launched...

(c (qz + (-1 + q) (-1 + (1 + qz)^0.5)))/(h q^2 (1 + z)^2) = d, And to solve for q New to the programme, thanks a lot !

Hello. I have some questions on operations. Suppose in the course of a derivation there is a mathematical statement of the form A+1=B+C then "+" is an operator acting on inputs "B" and "C". Question 1: Is the output of the operation "A" or the expression "B+C"? The reason I think the...

Howdy, I came across a regular expression i couldn't get my head around. ' there \([^ ]*\)' echo "Howdy there neighbor" | sed 's/there \([^ ]*\)//' returns howdy. It's the subgroup that's a bit confusing. match any sentence which contains banana then a space and then a non-space character...

Simplify 8p-3 x (4p2)-2/p-5. This is what I got: First thing I did was flip everything to get rid of the negative exponents: p5/8p3x(4p2)2 next thing I did was multiply the 4p2 by 2 p5/ 8p3x16p4Then I subtracted thep5 from the 8p3 p2/8x16p4 and ended up with 1/128p2 I know that the...

Can you always put numbers directly into an expression which has the delta triangle against its variables? For example Faraday's Law is always shown with the delta triangle on top and bottom yet these are dropped when you use it for calculations; which leaves me wondering why they are there in...

Evaluate each of the following without using the calculator. how to evaluate without even using calculator?

it seems most oblique asymptotes are mostly with rational expressions but $\sqrt{x^2+6x}$ has the asymptote of $y=x+3$ and $y=-x-3$ I don't know how this is derived since it is not a rational expression thanks ahead:cool:

Hello everyone, An example from a homework assignment has me stymied. There are two parts. Here they are: First part: Let M(x,y) be "x has sent y an e-mail message" and T(x,y) be "x has telephoned y," where the domain consists of all students in your class. Use quantifiers to express each of...

Hi! I've got a problem with question 5 on this paper: http://www.freeexampapers.com/past_papers.php?l=Past_Papers%2FAEA%2FPhysics%2F2006/ Download AEA-PHYS-PP-MayJune-2006-AEA-Paper-1342.pdf. Starting from b) i), we got that: ε=Δ∅/Δt → W=εe Where W is denotes work, ε is...

Homework Statement The mill (single phased) is now affected by a load from a resistor. We assume that the turbine can deliver an infinitely large current without affecting the frequency. figure 1 illustrates the load: http://puu.sh/19GGR The voltage over the capacitor can can be...

Homework Statement Simplify the following Boolean expressions to a minimum number of literals (a+b+c')(a'b'+c) 2. The attempt at a solution Whenever I tried this I made no progress in reducing the number of literals, I just reordered the expression. (a+b+c')(a'b'+c)...

Homework Statement I just need some kind of explanation in layman's terms of what exactly is going on here. It seems as though I am missing some key element from trig. I am in a Signals class and the book lacks an explanation of the reduction used and ultimately why. Homework...

Homework Statement \lim_{x\rightarrow \frac{\pi}{2}} \frac{tan(2x)}{x - \frac{\pi}{2}} Homework Equations The Attempt at a Solution I was given a couple of hints: use substitution, and that there isn't any need for the tangent double angle formula. I would have never thought to use...

Hi, I have a question about two different expressions of Jaynes-Cummings Hamiltonian H=\Delta_c a^{\dagger}a+\Delta_a \sigma_{+} \sigma_{-} + g (a^{\dagger}\sigma_{-} +a\sigma_{+} ) and H=\Delta_c a^{\dagger}a+\Delta_a \sigma_{+} \sigma_{-} +i g (a^{\dagger}\sigma_{-} -a\sigma_{+}...

Can anyone point me to how to interpret Dirac notation expressions as wave functions and integrals beyond the basics of     <α| = a*(q)     |β> = b(q)     <α|β> = ∫ a* b dq For example in the abstract Dirac notation the expression     |ɣ> (<α|β>) can be evaluated as     (|ɣ><α|) |β>  ...

I've defined A and B to be two affine transformations on \mathbb{R}^2. Then, I defined C and D to be some kinds of compositions of A and B, for example: C = Composition[A,B,B,A,A][{x,y}] D = Composition[B,A,B,A,B][{x,y}] Now, I want to evaluate expressions like: X =...

Homework Statement Find the derivative of: y = [(2x - 5)^4][(8x^2 - 5)^-3] Homework Equations I get: y' = -[(48x(2x - 5)^4) / (8x^2 - 5)^4] + [(8(2x - 5)^3) / (8x^2 - 5)^3] Wolfram gets: http://www.wolframalpha.com/input/?i=derivative+%282x+-+5%29%5E4%288x%5E2+-+5%29%5E-3 The...

Homework Statement The charge on a 2-microfarad capacitor is given by q(t)=10^-6 * sin(10^5*t) C find the dexpression for the voltage and current? Homework Equations The Attempt at a Solution the answer is v(t)=0.5sin(10^5t) , i(t)=0.1cos(10^5t) i don't get how they found the answer

Homework Statement I am after finding general geometric expressions for a quarter-circular spandrel that is split into two segments along either its domain or range (they are equal). I.e. Taking the geometry provided in the sketch below (Figure 1) I am after expressions for area and centroids...

I don't understand the following step regarding the (i,j)^{th} element of the Fisher Information Matrix, \textbf{J}: J_{ij}\triangleq\mathcal{E}\left\{ \frac{\partial}{\partial\theta_{i}}L_{\textbf{x}}(\textbf{θ})\frac{\partial}{\partial\theta_{j}} L_{\mathbf{x}}(\textbf{θ})\right\} \\...

Hi all, apologies if this has been answered elsewhere - I was unable to find an answer using the search function. Homework Statement "Expressed in terms of wavenumber and angular frequency, the equation for a traveling harmonic wave is: y = Asin(kx-ωt). Express this function in terms of (a)...

Just been reading on Christoffel Symbols and I am having a notational mind block. Say we have: \Gamma^{k}_{ij} v^{i} v^{j} The velocity depends on this expression, but I don't read this term v^{i} v^{j} as a velocity squared do I? It's just the one velocity, are the superscripts here...

I apologise for choosing not so related topic, but I could'n find better one. I will have to read some math expressions in English for audience and I'm not sure how to say it. And when I ask English teacher, they don't know what it means in the first place and can't give me any advise either...

I am designing a 7 segment display device to display an 8 digit number The number is: 18008101. I'm using a 555 time circuit for the clock pulse which is connected form output (pin3) to input/clock (pin1) Lattice GAL22V10D, working fine as the number changes on every pulse. However the...

Hi all, I think I have part of the answer to my question but I need some help if you would be so kind. Q: a)Compute the condition number of the following matrix using matrix norms ||A||_1 and ||A||_infinity. [a 1] [1 1] And also: What values of a give a large condition number? So ||A||_1=...

Are there any useful identities for simplifying an expression of the form: $$((\ldots((x_{1} *_{1} x_{2}) *_{2} x_{3}) \ldots) *_{n - 1} x_{n})$$ Where each $$*_{i}$$ is one of $$\cap, \cup$$ and $$x_1 \ldots x_n$$ are sets? I believe I found two; though I haven't proved them, I think they...

Okay. So my assignment is due in an hour and I'm stuck on this last question. If I can get some help, I would greatly appreciate it. So the problem reads: The electric field of a dipole can be calculated by assuming the positive charge q is at z = a/2 and the negative charge -q is at z =...

Reading through my electrodynamics textbook, I frequently get confused with the use of the del (nabla) operator. There is a whole list of vector identities with the del operator, but in some specific cases I cannot figure out what how the operation is exactly defined. Most of the problems...

I understand everything up until: √MgL/m = L/t Why is that equal to L/t? I also don't understand this either: This is the problem itself however I don't feel it's that important since I am trying to figure out how they are arriving at their conclusions. An astronaut on a small...

Homework Statement Simplify. (p4 - q4)/(p + q)2 ÷ 1/(p2 + q2) Answer: (p - q)/(p + q) Homework Equations -- The Attempt at a Solution Transformed it to a multiplication problem. (p4 - q4)/(p + q)2 X (p2 + q2)/1 Difference of the squares in the numerator of the first expression...

I'm only in 9th grade math, so please don't give me complicated calculus answers. And I prefer if you give steps on how to solve each step. Thanks in advance! 1. 5^-2/p 2. 3x^-2/y 3. (x^-5) (y^-7) 4. 8/2c^-3 5. (6a^-1) (c^-3)/d^0 6. (9^0) (y^7) (t^-11)

In the past few weeks, I have occasional trouble with my latex expressions (using the itex tag) running over the text that follows them. I also see this in some posts by others. Is there a good way to avoid this? Is it a browser specific problem? ( Mozilla and Firefox are mine.)

I hope this is the right forum for a first year undergraduate problem! The problem I've been working on is here: http://i.imgur.com/IhTtL.png I think that I have the correct answers, but I'm not sure. I think that the energy densities of the E and B field components will be (0.5)(ε0)(E^2)...

Hi everyone and nice to meet you. I'm velox_xox a newbie to PF and a high school correspondence student currently taking Algebra II. Since I'm correspondence, I am basically teaching myself my subjects, which means if I don't understand something it's a big problem. I enjoy math, but I must...

I'm completely stumped. So is my high-school calculus teacher, but he hasn't done imaginary powers for forty-five years. Hopefully somebody can explain this... To clarify, I understand the reasoning between the following equation: e^{i x}=cos(x)+i sin(x) Now, I need to put some things...

1. Homework Statement Sin(sec^-1(sqrt(x^2+16)/4)) 2. Homework Equations 3. The Attempt at a Solution I did the math and ended up getting x^2-1 as the opposite, but the answers on the back of the book say other wise.

Homework Statement Cos(Tan^-1(x)) Homework Equations The Attempt at a Solution Dont know how drawing a right triangle would do anything, don't know what to plug in.

I would like to know how to solve the following kind of questions: Calculate (without expressions of cyclometric functions): arccos(11/14)+arcsin(-1/7) And: Calculate (without expressions of cyclometric functions): 2*arctan(1/2)+arccos(-3/5) If you could generalize the method of solving...

So this is my first quantum mechanics class and so far we have spent about a month (well 3 weeks) on just the mathematics. So in my book, the author explores the ideas presented by the stern gerlach experiment. It related the beam of silver atoms traveling through the separators to light...

When dealing with electrodynamics it is usual to use complex variables for the electromagnetic field while taking into account that the electromagnetic field is real and that at the end one has to take the real part of the complex solution for the field. However, what happens to compound...

Homework Statement Expand and simplify algebraic expressions. Homework Equations (2a+1)(3a-1)(a-2) The Attempt at a Solution The problem is, we normally always do these problems with only two sets of brackets. I tried just multiplying each number will each other number but it...

I've been beating my head against this problem for hours. I see numerically that two expressions are equal, but I can't prove it: (J^{T}R^{-1}J + P^{-1})^{-1}J^{T}R^{-1} = PJ^{T}(JPJ^{T} + R)^{-1} J is arbitrary size, P and R are square though not necessarily equal. Can anyone...

Please see attached. This is a general question for a more complex thermo problem, but it fits this form. Are there any tricks to getting expressions out of square roots in solving DEs? y=y(x) x=x(t) I want to get y by itself so I can integrate with respect to x, but it is trapped in a...

I wanted to know if there are any rules for interpreting mathematical expressions. If we succeed in interpreting a mathematical expression as a physical reality we will make math more friendly and very interesting. What are the rules for interpreting math expressions?

Homework Statement So I am a little rusty on my basic math and I am trying to simplify this expression. In case you were curious the expression came from a signal block diagram that I calculated the transfer function H(z) to then found the frequency response H(f) and I think i have done that...

take this derivation \hbar c = GM^2 multiply c^4 on both sides \hbar c^5 = GM^2c^4 rearrange \frac{\hbar c^5}{G} = M^2c^4 Take the square root makes \sqrt{\frac{\hbar c^5}{G}} = E Now this \sqrt{\frac{\hbar c^5}{G}} expression inside the radical expression is...