Max Definition and 1000 Threads

Hi I am studying entropy and I am new to the concept I don't know where to start in this question: State the maximum entropy of a 16-symbol source. thank you

I cannot picture the physical meaning of the maximum proper distance at time of emisson. In the benchmark comological model the plot of (H/c) * (Proper distance at time of emission) versus z (the redshift) shows a maximum at z=1.6 for a proper distance of emission = 1800 Mpc (mega parsecs). I...

Homework Statement The minimum number of comparisons required to find the minimum and the maximum of 100 numbers is ... Homework Equations ##T(n)=T(\lceil \frac{n}{2} \rceil) + T(\lfloor \frac{n}{2} \rfloor) + 2## The Attempt at a Solution Recurrence for the above problem is ##T(n)=T(\lceil...

Hello, I am working towards an extremely difficult real analysis problem. The statement is as follows: Prove that if $\lim_{x \to a} f(x) = l$ and $\lim_{x \to a} g(x) = m$ then $\lim_{x \to a} \max(f(x), g(x)) = \max(l, m)$ Some definitions: $$\max(f, g)(x) = \frac{f + g + |g - f|}{2}$$...

Homework Statement A heat engine containing an ideal gas has a reversible cycle which consists of 2 constant volume segments with V = 1ℓ and V = 3ℓ and two constant pressure segments with P = 1 atm and P = 2 atm (see figure below). The temperature at point “c” is Tc = 273 K. A) Is the path...

Homework Statement A Σ0 baryon, traveling with an energy of 2 GeV, decays electromagnetically into a Λ and a photon. What condition results in the Λ carrying the maximum possible energy after the decay? Sketch how the decay appears in this case, and calculate this energy. Explain your...

Homework Statement I need to confirm if I correct in saying the following: If f(x) is a function having the domain [a,b) as shown in the figure, then f(x) has several local maxima but none of them is global maximum, and f(x) does not have a global maximum. Homework Equations and...

$(\frac{1}{11^m}\prod_{i=1000}^{2014}i)\in N$ please find max($m$)

Homework Statement Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting a force of 1500N on the rope, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 85kg; the vine is 4.0m long Homework Equations...

Mentor's note: this was originally posted in a non-homework forum, so it doesn't have the homework template. ------------------------------------Hey guys hoping you guys could help me with this A object (20g) moving horizontally at 100m/s embeds itself in the middle of a block of some wood...

Homework Statement An object is thrown from the ground into the air at an angle of 30 degrees to the horizontal. If this object reaches a maximum height of 5.75m, at What velocity was it thrown? a= -9.81 m/s h= 5.75 m I know that velocity is the one that I need to solve but I'm kinda finding...

1. "A car moves along a horizontal road against a resistance of 400 N. What is the greatest speed in kph that the car can reach if the engine has a maximum power of 16.0 kW?"Homework Equations : P= W/change in time P= F x v (dot product) Please help ): [/B]

Homework Statement Radioactive wastes are stored in a spherical stainless tank of inner diameter 1 m and 1 cm wall thickness. Heat is generated uniformly in the wastes at a rate of 30,000 W/m3. The outer surface of the tank is cooled by air at 300 K with a heat transfer coefficient of 100 W/m2...

Homework Statement A container has a round hole at the bottom. The diameter of the hole is 0.1 mm. The container is filled with water. The maximum height (in m) up to which whiter can be filled without leakage is h/10. Find h. Surface tension= 75 * 10^-3 N/m Homework Equations Pgh*A=F(of...

Homework Statement Title might be unclear since I had little space to explain. I'll state my problem from the beginning: I don't know how to determine one of the constants in formula for the velocity (the maximum velocity on the y-axis to be precise). I need that constant because I want to...

Homework Statement When lights falls on metal suface , electrons are emitted if the wavelength of light is less than or equal to λ , .If lights of 0.5λ is used , then maximum kinetic energy of electrons is E . if lights of 0.25λ is used , what's the maximum kinetic energy of the electron...

in the problem f(x,y)=x^2+y^2 and xy=1, I get 2 as a local extrema and it is a min in the problem f(x1,x2...xn) = x1+x2..+xn (x1)^2+...(xn)^2=1 I get sqrt(n) and its a max. How do I know if these are max or min values? If I get more than two extrema, I just compare them and one's a max and the...

For the first part of the equation, I worked out k constant of a string which extended 12.6cm when a mass of 300g was suspended from it using the equation F = kx where F is the force applied and x its extension. So mg = xk, 300 x 9,81 = 0.126k, the answer was 23357N/m (23kN/m). The question...

Hello, I was going through Perron method within the text and came across Lemma 1 which states that if u1,u2 are subharmonic on some domain D and satisfies Cauchy boundary conditions (for example), then so does max(u1,u2). I am quite confused in terms of proving the statement. How would one...

Alright so I drew it out like did the reactions and everything then I realized I need to include the diameter of the beam. How do I find the max bending stress while using the diameter of the beam? All I need to know is what exactly I do differently compared to drawing the bending moment...

I have read that the speed of light is 299,792,458 m/s in a vacum, and is the Max speed of light. But if the speed of light can be reduced once it is removed from that vacum, and we now propose that Dark energy and Dark matter may exisist. If Dark mater and energy are everywhere that humans...

Homework Statement A 100kg bungee jumper attached to a bungee cord jumps off a bridge. The bungee cord stretches and the man reaches the lowest spot in his descent before beginning to rise. The force of the stretched bungee cord can be approximated using Hooke's law, where the value of the...

The state of plane-stress at a point is given by σx = -200 MPa, σy = 100 MPa, σxy = 100 MPa The Maximum shear stress (in MPa) is: A) 111.8 B) 150.1 C) 180.3 D) 223.6 Explain Procedure also with Answer. Attempt: i already used Max Shear Stress τ = QV/ib, then also answer is not matching...

Homework Statement A Truck is going around a circular track of radius 72m and is banked at 60 deg. A spider is at rest on the side of the truck and the coeffiecient of friction is 0.91, what is the maximum velocity of the truck so that the spider is at rest. Homework Equations F =...

Homework Statement Find the max power transferred through R in the circuit given. Homework Equations See attachment for the diagrams The Attempt at a Solution The Norton's equivalent resistance is 5.4Ω. For finding the Norton's current, I need to find the short-circuit current...

Homework Statement What is the maximum flow rate that can be seen in a water pipe where city water is supplied to a building. The pressure behind the water is 50psi, and the inner diameter of the pipe is 2". Homework Equations bernoulli's principle The Attempt at a Solution I...

Hi. I was wondering if there is anything wrong with running LDO Voltage Regulators at max current output for extended periods of time (>12 hrs). The reason I ask is because I have a application where I have to drive a load that is less than 5Ω with a constant current of 500mA at 5V. I could use...

Homework Statement A child's hoop of mass M and radius b rolls in a straight line with velocity v. Its top is given a light tap with a stick at right angles to the direction of motion. The Impulse of the blow is I. a. Show that this results in a deflection of the line of rolling by angle...

A square tube beam, 4in x 4in x .1875in thick. Length= 36in Cross sectional Area= 2.859in^2 A36 steel How do you determine its max load capacity?

$\triangle ABC$ with $AB=BC=CA$ if another point $P$ and $PA=2, \,\, PB=3$ please find :$max(PC)$

Homework Statement the driver is made to oscillate. then the energy will be transferred to the other bob . the other bob oscillate as well all the ball are of the same frequency, as they have the same length. the air resistance is significant for smaller mass bob(paper bob) , so it...

$f(x)=\sqrt {8x-x^2}-\sqrt{14x-x^2-48}$ find :$min(f(x))$ and $max(f(x))$

a rope of 1.20 m length has at one end a tie slide and in another a collar that attaches to a dog. The rope is passed through the sliding laze and around a square column of 24 cm from side to keep the tied-up dog while his master departs; but the dog pulls rope, and manages to break it by the...

the intensity of the iluminacibn is directly proportional to the source intensity and inversely proportional to the square of Ia distance to the source. If two light bulbs are 16 cm of distance and one intensity of them is 4 times greater than the other, on which point of the line including...

Find the maximum real value of $p$ if for any triple of positive real numbers $m,\,n,\,k$ that satisfies the inequality $pmnk>m^3+n^3+k^3$, there exists a triangle with side lengths $m,\,n,\,k$.

So this is the problem that I am working on. It is a woosh bottle where I am inputting 70% isopropyl alcohol, closing the top and waiting for the alcohol to evaporate. This mixture is then ignited to generate a flame. My job for this project is to calculate the maximum volume of 70% isopropyl...

Given the below equation of a sinusoidal wave, find the maximum transverse speed of a point on the string. y(x,t) = .00325m * sin(70x -3t) I am brand new to waves and trying to figure out what this question exactly means. The way I see it is that it might be at a max speed when 70x-3t =...

Homework Statement A 24" diameter titanium jet engine disk is machined to tolerance or +/- 0.002". Customer will accept +/- 0.003". The part is machined and measured in you plant at 80F. What is the max temp range for the customer to measure the part which you should specify in the contract...

342) a beam of 62, 50.m passes horizontally by 1 street 32 m wide to other street perpendlcular which is the width of the second street ?. Answer 13.5 m the omly thing is since the 2 streets are perpendicular Si2-s2 =62,50

Homework Statement An auto manufacturer reports that the maximum power delivered by the engine of a car of mass 1230 kg is 92.4 kW. Find the minimum time in which the car could accelerate from rest to 29.1 m/s. In a test the time to do this is found to be 12.3 s. Account for the difference in...

the normal at a point N of the parabole: y2 = 2px to the curve at another point M. calculate the intercept of N when the length of MN is minimal. Answer sqrt (2) p

P is a point in the first quadrant on the curve: y = 7 - x2 . By P is drawn tangent to the curve, and A and B are points at which cut to the coordinate axes. Find the ordinate of P so that AB is minimum Answer = 49/8

I have the following question, intended for a car powered by a 4 cylinder, non turbo, gas engine. I would like to a rather conceptual answer, but anyway I will put some actual numbers. It´s said to achieve it´s max torque (200Nm) at 4000 RPM It´s max power is 150HP at 6500RPM I don´t know...

Hi! Consider the function \frac{d^n}{dx^n} \sum_{k=1}^m \sin{kx}, \quad 0 \leq x \leq \pi/2 . If n is odd this function attains its largest value, \sum_{k=1}^m k^n at x=0 . But what about if n is even? Where does the maximum occur and what value does it take? Any help is much...

I found in the wiki a definition for the max of 2 numbers: https://en.wikipedia.org/wiki/Ramp_function But is definition is only for 2 numbers, how would be the definition for 3 numbers? Also, which is the definition of minimum function?

determine the minimum segment that relies on the X axis and Y Axis if it passes through the point P (1, 8). answers from (5,0) to ( 0,10) the point is ( x,0) and (0,y) find the distance ((x-1)2+64)^2 +(1 +(y-8)2)2) but how must I proceeed?

1) If P (a, b) is a fixed point located in the first quadrant. Find the equation of the straight line which, passing through P, is such that the length of the segment that on it limits the semiaxes positives is minimal. Calculate the segment lenght Answers y-b = Cubic sqrt ((b)/a) (x-a)...

in what point of the circumference: x2 + y2 = 1 the tangent to this, (to yhe circunference) form with the coordinate axes the triangle of smaller area?. answer ( +/-(sqrt2/2), +/-(sqrt2/2) ) Ok y2= 1-x2 Now I don't know in what point must i get the tangent?? I don't think it is in 0,0 I...

find a point above the circle: x2 + y2 = r2 so that the sum of the squares of their distances to points (2r, 0) and (0, 2r) it is the smallest answer (r/(sqrt(2)), r/(sqrt(2)) ) according to the problem after elevating to the square (x-2r)2+y2 +x2+(y-2r)2 Solving 2(x)2-4rx-8ry+2y2 now y2=...

Homework Statement A mass of 0.4 kg, hanging from a spring (k= 80N/m) is set into an up-and-down SHM. What is the speed of the mass when moving through the equilibrium point? The starting displacement, A, is 0.10 m. Homework Equations a = -kx/m ω = 2pi/TThe Attempt at a Solution I tried to...