Expression Definition and 999 Threads

Hey Guys I am Currently doing my degree in information systems. At the moment the subject is PLC(Processing and Logic Concepts) I understand all of it, I am not sertain on how to start reducing a boolean expression. Once the first step is done I normally get it and can complete the...

I need help figuring out what the little 2 next to an equation means this is what my problem looks like I have the answer but I can't figure out how it was found out. (3)(-4)2 - (3)(-5) so the 2 next to the 4 in parentheses is little.

Hi, I am trying to incorporate the following equation into Matlab in the red: http://http://www.radikal.ru][PLAIN]http://s018.radikal.ru/i518/1305/16/1cc0d2a72d38.jpg The following data is to be used: t=3000000 nr=nx=161 q=0.02 k=5e-13 mu=0.00035 c=1.5e-8 phi=0.25 rw=0.1 h=4.5...

Homework Statement ((a^3-b^3)/(a^2-2ab+b^2))/((2a^2+2ab+2b^2)/(9a^2-9b^2)) Not using complex number system. Not concerned with domain. Find the quotient and put it in simplest terms. Homework Equations The Attempt at a Solution Too many to transcribe. Apparently I'm missing...

So, energy is simply a mathematical expression of how much work is done in the system? Since energy is not a "physical" object that has mass. It's not matter at all. If so, the laws of conservation makes sense, it can't be created nor destroyed. But I can't imagine how a mathematical...

Evaluate \cos \left(\frac{\pi}{65}\right)\cdot\cos \left(\frac{2\pi}{65}\right)\cdot\cos \left(\frac{4\pi}{65}\right)\cdot\cos \left(\frac{8\pi}{65}\right)\cdot\cos \left(\frac{16\pi}{65}\right)\cdot\cos \left(\frac{32\pi}{65}\right).

I have 17 elements, and I want to put them in 3 sets. This makes 2 sets with 6 elements, and 1 set with 5 elements. Now I want to find an algorithm to partition n elements in k sets. Can anyone give me an algorithm, or a math expression for me to implement in a algorithm? Thanks

Factor the expression 30(a^2+b^2+c^2+d^2)+68ab-75ac-156ad-61bc-100bd+87cd

Homework Statement Reduce the Expression: 15sin(wt-45°) + 5cos(wt-30°) + 10cos(wt-120°) to the form Vmcos(wt+θ) Homework Equations The Attempt at a Solution My theta value at the end isn't coming out right. My first step was to put make sure each term was in terms...

I have a 9 input to 9 output truth table I constructed using Python. I am trying to find a program that can deduce the (hopefully minimized) Boolean expression for my outputs. I tried Logisim already, but when I try to paste the enormous data (512 rows), my Logisim crashes. Can anyone recommend...

Decompose the expression below into real factors: 1-\sin^5 x-\cos^5 x

Hii All, $ \sum_{i=1}^{x}i^{N}:N>2 $. Is there any approximated lower bound for the above summation? Is it > $ \frac{1}{N+1}x^{(N+1)}$ ? If yes, how to prove that?regards, Bincy

The Laguerre polynomials, L_n^{(\alpha)} = \frac{x^{-\alpha}e^x}{n!}\frac{d^n}{dx^n}\left(e^{-x}x^{n+\alpha} \right) have n real, strictly positive roots in the interval \left( 0, n+\alpha+(n-1)\sqrt{n+\alpha} \right] I am interested in a closed form expression of these roots...

Can someone please show me how to simplify this expression? I have no clue of how it's done so any help would be appreciated. Thank you! x'y'+xz'+yz+x'yz'+xy'z

Homework Statement Let z = 2 + i and u = -3-3i. Calculate the value of |z/u|. Homework Equations None. The Attempt at a Solution |z/u|=|(2 + i)/(-3-3i)| = |(2 + i)/(-3-3i)*(-3+3i/(-3+3i)| --- if it is not clear, I'm multiplying by the conjugate. = |(-6+6i-3i+3i^2)/(9-9i+9i-9i^2)|...

1. Simplify the derivative 2. y = \frac{\sqrt{1-x^{2}}}{x} 3. f'(x) = \frac{x*\frac{-2x}{2\sqrt{1-x^{2}}}-\sqrt{1-x^{2}}}{x^{2}}=\frac{-x^{2}-\sqrt{1-x^{2}}}{x^{2}\sqrt{1-x^{2}}} I just don't know how to simplify this further.

Find the minimum value of |\sin x+\cos x+\tan x+\cot x+\sec x+\csc x| for all real numbers x.

Hey, guys How can the following equation be entered into matlab: http://i074.radikal.ru/1304/fe/a8b8e0fccbe5.png Thakns.

Simplify \frac{x^2-4x+3+(x+1)\sqrt{x^2-9}}{x^2+4x+3+(x-1)\sqrt{x^2-9}} where x>3.

The awkward expression 1 km/s per Mpc--the radius is better It's been pointed out that by historical accident we've been stuck with an awkward mix of units conventionally used to express Hubble parameter. If you parse the quantities km/s per Mpc you find that the length units cancel and you...

hi , how i can demonstrate the expression of metric kerr?

Suppose I have a particle on a line, and I know some function a(x) and the initial x, v, and a. How could I work out x(t)?

Homework Statement Write an expression for the force applied to the brake caliper in the braking system(hydraulic) of a bicycle. F= force applied to the brake lever a = distance between F and the pivot point of the brake lever. b= distance between pivot point and lever piston. d1= diameter of...

Find x such that trigonometric \dfrac{\sin (3x) \cos (60^{\circ}-x)+1}{\sin (60^{\circ}-7x)-\cos (30^{\circ}+x)+m}=0 where m is a fixed real number. Hi all, I know the expression in the numerator has no real roots by checking it at W|A (plot the graph of y=sin(3x)cos(pi/3 -x)+1 -...

Could someone please help me make this expression a little smaller? I'm sure there are things that cancels out or could be re written, but I generally suck at these things as I tend to break a few math rules along the way. Could I for instance cancel n against n in the two last cosine...

Homework Statement Simplify the following trigonometric expression: cscθtanθsecθ Homework Equations tanθ = sinθ/cosθ sin^2θ + cos^2θ = 1 cscθ = 1/sinθ secθ = 1/cosθ cotθ = 1/tanθ The Attempt at a Solution I just want to double check my solution. cscθtanθsecθ = 1/sinθ x...

Given that the equation $ax^3-x^2+ax-b=0$, ($a\neq 0,\,b\neq 0$) has three positive real roots. Determine the greatest value of the following expression: P=\frac{11a^2-3\sqrt3ab-\frac{1}{3}}{9b-10\left ( \sqrt3a-1 \right )}

Hi, I'm trying to figure out a few questions on a practice exam that I'm working on for my Intro to Logic Systems class and could use some help. One of the questions (and the others are similar) says: Determine the minimized realization in the sum-of-produicts form using literals of the...

[Java] Can't figure out this "Illegal start of expression" error From my Java code: while (info.substring(j, j)) != " ") { name += info.substring(j, j); j++; } gives an "illegal start of expression" error

Hi. If I could get some clarification on the attached circuits that would be great. The question asks to find the boolean expression for C. I already know the answers, but I don't quite see how they got it. For the first circuit: C=A_bar The truth table looks like this: A C 0 1 1 0...

Problem: Prove that $27195^8-10887^8+10152^8$ is divisible by $26460$. Attempt: I grouped the last two terms and manipulated them algebraically and came to the point where I suspect I might have taken the wrong path...here is the last step where I stopped and don't know how to proceed...

What identity I need to use for simplifying this trig expression into one expression?$cos(3x)+4hcos(x)$ where h is a constant. Thank you for your help. Can you explain, too?

Greetings, I recently discovered Mathematica's Format function, and it has been of great use to me. However, there is one thing that I want to use it to do, that I have yet to be able to. I could do this easily, though, if there is some Mathematica function that works as follows... If I put a...

Hello ! I have an upper triangular matrix for an operator T in which an eigen value has been repeated s times in total. Derive an expression for s . My thoughts : ( Let * imply contained in ) then :I know that : (a) Null T0 * Null T1 *...*Null Tdim V = Null Tdim V + 1 = ... (b) Will i...

Homework Statement I need to derive an expression for the displacement of light as a function of thickness of glass and the angles. I will post a screen shot of the formula to be derived but it can also be found here...

a=4,b=3 and c=-2 5ab/12-2cb:confused:

Evaluate the variable expression when a=3,b=1 and c=-2 b^2-4ac. This is new to me so please explain how to do this.

Homework Statement Which of the following is a correct expression for ∫1t(s-1)y'(s) ds I know the answer is: a) 1/2(t-1)2y(t) b) 1/2(t-1)2y'(t)+ (t-1)(y(t)-y(1)) c) (t-1)(y(t)-y(1)) d) (t-1)y(t)-∫y(s) ds Homework Equations The Attempt at a Solution I know the...

Homework Statement Claim: If n is a positive integer, the prime factorization of 22n * 3n - 1 includes 11 as one of the prime factors. Homework Equations Factor Theorem: a polynomial f(x) has a factor (x-k) iff f(k)=0.The Attempt at a Solution First, we show that (x-1) is a factor of (xn-1)...

Suppose that $U$ is open in $\mathbb{R}^{m}$, that $L\in U$ and that $h:U\setminus \left \{ L \right \}\rightarrow \mathbb{R}^{p}$ for some $p\in N$. If $L=\lim_{x\rightarrow a}g(x)$ and $M=\lim_{y\rightarrow L}h(y)$. Then $\lim_{x\rightarrow a}(h\circ g)(x)=M$. (Someone told me that this...

Homework Statement Write the vector expression for the acceleration a of the mass center G of the simple pendulum in both n-t and x-y coordinates for the instant when θ = 66° if θ'= 2.22 rad/sec and θ"= 4.475 rad/sec2 I have attached an image of the question. Homework Equations an =...

Homework Statement ABC'D + A'BD + ABCD The Attempt at a Solution Here is as far as I have gotten: BD (AC' + A' + AC) BD (AC' + A') According to Wolfram Alpha, the answer should just be BD. Can someone help me get there?

I saw someone write this: dW=Pd2V I think this doesn't make any sense mathematically; but I wanted to check. Is this mathematically meaningful at all? This I understand: dW=PdV W=∫PdV But for dW=Pd2V I cannot see how one could proceed. Here V is an independent variable; P=f(V).

Homework Statement Write an expression for the voltage across R3 in terms of V0, R1, R2, and R3. Under what condition is the voltage across R3 approximately independent of the value of R3? Homework Equations I uploaded a picture. I think Req = R1 + R2... and 1/Req = 1/R1 + 1/R2...

Work done by a gas (consider ideal for simplicity) is given by = = -pressure(external) . Change in volume Why is external pressure considered here? Take for example a closed vessel with weight on apiston having gas enclosed with 200 atm pressure, if the weight is suddenly removed the gas...

Hi guys I'm trying to find out the nature of this serie \sum_{n=1}^{\infty}\left[ e^{1/n}-e^{-1/n}\right] I know the ratio and root tests are inconclusive, just the comparision test works (it diverges) But with which expression shall I compare? Thank you so much

Hello Everyone, I am after an expression for the torsion stiffness constant of a rectangular hollow section (RHS) with varying wall thickness. I have done some research into finding an expression that allows for four varying wall thicknesses but have not found anything as of yet. The only...

Dear Physics Forums denizens, I have a tricky problem that I hope one of you can help me with. (It's for a personal project, nothing to do with school.) I'm looking for a closed-form expression for the sum of the first through m-th terms of a combinatorial number. For those of you...

Homework Statement I did two attempts. I find attempt no. 1 slightly fishy and attempt 2 more rigorous. Can anyone tell me what's wrong with attempt no. 1? The Attempt at a Solution Attempt no. 1: Attempt no. 2:

Hi all, I am working with some beta functions. I want to show that the following is positive and bounded between 0 and 1. Is it possible to show this? $$ \frac{ \frac{B( a + b , \frac{2}{ c} )}{B(a, \frac{2}{c}) } - \big\{\frac{B( a + b , \frac{1}{ c} )}{B(a, \frac{1}{c}) }\big\}^{2} }{...