Range Definition and 979 Threads

  1. M

    Cheap ml range liquid flow sensor

    Hello, I was wondering if anyone know any companies which sell directly these items because it seems many of the ones i am finding are for high end applications... Any help would be much appreciated. Note: no liquids are corrosive and low viscosity etc generally just water will flow...
  2. J

    Composition of functions, domain, range

    A = (0, infinity), B = C = D = R where R is all real numbers f: A->B, g: B->C, h: C->D f(x) = lnx, g(y) = 3y, h(z) = e^z h o g o f ? -------------------------------------------- For the following to be defined doesn't 1) range(f) ⊆ domain(g) 2) range(g o f) ⊆ domain(h) So g o f should be...
  3. J

    Composition of functions and being defined thru range and domain

    For the following to be defined doesn't 1) range(f) ⊆ domain(g) 2) range(g) ⊆ domain(h) Is that correct? So R ⊆ R for 1, and R ⊆ R for the other so it is ok? --- Second question: but how can you have the function h with the range of all real numbers when the exponential function only has a...
  4. A

    Need help to build long range IR transmitter

    hey guys I'm trying to build a 38khz transmitter that works about 5m(at least) but its unsuccessful.currently I'm using this circuit. but it can't use more than 50cm. i have no idea how to increase rage. equation is f=1/(0.8*R1*C1) I have some NE555 and a 9V battery some transistors and...
  5. Saladsamurai

    Prices on Windows XP Professional Why the Range?

    I am going to invest in a copy of Win XP pro to install on my MAC. A quick search on Google for "windows xp professional" yields prices that vary from as low as $89 like http://www.softwarestockpile.com/ProductDetails.asp?ProductCode=MS-10293&click=30". What gives? Is there a difference? I...
  6. E

    Functional Analysis, Show that the range of a bounded linear operator

    Homework Statement Show that the range \mathcal{R}(T) of a bounded linear operator T: X \rightarrow Y is not necessarily closed. Hint: Use the linear bounded operator T: l^{\infty} \rightarrow l^{\infty} defined by (\eta_{j}) = T x, \eta_{j} = \xi_{j}/j, x = (\xi_{j}). Homework Equations...
  7. N

    Determinants in quadratics and the range of y

    Homework Statement I need to find the range for y in the quadratic x^2+2x+3=y Using the determinant b^2-4ac where ax^2+bx+c Homework Equations x^2+2x+3=y The Attempt at a Solution Okay, so: To use the determinant y=0, x^2+2x+3=0, in which case b^2-4.a.c = -8 So there are no real...
  8. L

    Symmetry and range of interaction

    I have just read a book. It said that: "if symmetry is exact, interaction is a long range". Could you explain me more detailed? Thanks!
  9. M

    Projectile Range Equation in 3D Space

    Hi, I'm working on a computer simulation to launch an object from point A to point B in 3D space. I'm currently using the range equation: Range = ( Vo^2 * sin( 2 * theta ) ) / gravity and I solved for Vo and got: Vo = sqrt( ( Range * gravity ) / sin( 2 * theta ) ) I'm...
  10. A

    What is the Difference Between a Vector Space and a Coordinate Space?

    Say we have a function, f(x)=x^3 one would say "f is a function from \mathbb{R} to \mathbb{R}" or f: \mathbb{R}\to\mathbb{R} Then say we have a vector function, \vec{g}(t)=<t^2+1,t> . How would one use the above notation? Would it be \vec{g}: \mathbb{R}\to\mathbb{R}^2 ? And...
  11. C

    Height and Range of a projectile

    A projectile is fired at a speed v0 from and angle \theta above the horizontal. It has a maximum height H and a range R (on level ground) Find: The angle \theta above the horizontal in terms of H and R The initial speed in terms of H, R and g and the time of the projectile in terms of...
  12. L

    Range of values of force for string to remain in tension

    Homework Statement The question is to find the range of values of force p such that the two strings in the picture remain in tension Homework Equations None. The Attempt at a Solution I tried to solve using moments about point C such that i can cancel out the tension in BC but it...
  13. 3

    Absorption spectrum of water in the UV range

    Hi all, I have not seen a separate section for photonics, so I'll post my question here : Does anyone have measurement data of the absorption spectrum of (liquid) water in the wavelength range of 180 - 250 nm ? Thanks :smile:
  14. D

    Help with calculating the range of error accleration

    Homework Statement Motion on an Incline. I did an experiment where I measured the acceleration of a cart rolling down an inclined plane using 5 different angles and comparing them to those predicted in Newton's 2nd law of motion. I am trying to figure out the equation I can use to find...
  15. Y

    Projectile Horizontal Range: Debunking the Intuition

    The equation describing the horizontal range of a projectile is R = \frac{v_0^2}{g} \sin{2\theta} The previous equation states that the projectile wouldn't travel any distance if launched at 0 degrees. Further, the range of a projectile decreases from 45 to 0 degrees, but it seems...
  16. B

    Derive a general formula for finding range with a spring launcher

    Homework Statement So I made a spring launcher that will fire marbles. I need to derive a general formula for finding range for any given angle and x value.Homework Equations 1) v22=v12+2ad 2) Ek=Es 3) 1/2mv2=1/2kx2 4) d=v*t This projectile was shot from 1.1m off of the ground. The Attempt at...
  17. K

    Extreme high speed wireless range

    high speed wireless with extreme range I'm trying to find a way to transmit hd video and data over long distances. Thats not the hard part. Hard part is that all connection points are mobile at varying speeds and MUCH longer range than any network I've ever seen. I have enough power to use any...
  18. H

    What Is the Maximum Range of a Projectile on an Inclined Plane?

    Homework Statement A projectile is launched 80m/s into the air at angle x to the horizontal off the top edge of an infinitely long hill(inclined plane). The hill makes a 35 degrees angle to the horizontal a) Derive an equation for the range(maximum horizontal displacement). b) At what angle...
  19. J

    Proving Convexity of Numerical Range for Normal T

    Homework Statement If T is a linear transformation on the finite-dimensional inner product space over complex numbers and is normal, then prove that the numerical range of T is convex. Homework Equations The Attempt at a Solution If we assume a and b are in the numerical range of...
  20. J

    Range space of linear mappings

    Homework Statement Let L : Rn --> Rm and M : Rm --> Rp be linear mappings. a)Prove that rank( M o L) <= rank(L). b)Give an example such that the rank(M o L) < rank(M) and rank(L) Homework Equations None The Attempt at a Solution a)I see that (M o L) takes all vectors in Rn and...
  21. E

    Effective Destructive Range of Supernovae?

    Hey all, It’s been a while since I’ve visited the forums but my question is strangely one that I’ve had a difficult time trying to find an answer for. I was wondering if anyone either knows or can point me to information regarding the effective destruction radius of a supernova, preferably...
  22. O

    Range of the Hausdorff dimension

    My analysis textbook mentioned in passing that the range of the Hausdorff dimension is all nonnegative real numbers, i.e. for any nonnegative real number a, there's some compact subset of R^n whose Hausdorff dimension is exactly a. The problem is that I don't see how to prove this (and my...
  23. C

    Double integral showing a range of values?

    Hi all, I am faced with this question. I am asked to show that 2(\sqrt{5}-2)\pi\leq\iint_{R}\frac{1}{\sqrt{4+sin^2x+sin^2y}}dA\leq\frac{\pi}{2} Noting that the double integral is to be performed on region R which is bounded by the circle x^2+y^2=1 From what I know, the double...
  24. G

    How do you derive a Range prediction equation?

    Homework Statement Derive the equations for v0 and R, and show how you made your prediction. Homework Equations d = v0t +1/2at^2 The Attempt at a Solution The acceleration was zero, so I rewrote the equation: R(range) = v0t but then they substituted t with\sqrt{\frac{2Y}{g}}...
  25. X

    Restricting Domain and Range in broken conics

    Homework Statement How do you know whether you restrict the domain or range with a horizontal ellipse ? Homework Equations x^2/49 +y^2/10=1 The Attempt at a Solution
  26. W

    Kernal, range and linear transformations

    Homework Statement T: P2 --> P2 be a linear transformation defined by T(p(x)) = xp'(x) where ' is the derivative Describe the kernal and range of T and are any of the following polynomials in the range and or in the kernal of T? 2 x2 1 - x Homework Equations power rule (for...
  27. B

    PMOS diff amp - common mode input range

    Hi Can someone help me on how i can calculate the input common mode range for this pmos diff pair. I'd have an idea if it was an NMOS diff pair but am kinda uncertain of this. I'm looking for equations for the input signal ranges of Vmax and Vmin Thanks
  28. M

    Root Locus of Unity Feedback Transfer Function: Find K Range for Stability

    I want a MATLAB code to draw the root locus for a characteristic equation of a transfer function of unity feedback, also what is the range of K that keeps the system stable , here is the characteristic equation: s^5+600s^4+50000s^3+ks^2+24ks+80k=0 please help, thanks in previous
  29. B

    What are the options for long range distance sensors?

    Can anyone point me to a long range distance sensor. I'm not sure what types they have out there other then ultrasonic. Those ones only get me about 10-80 cm. I'm looking for one that is around 30ft or more. Any information on different types of links is appreciated. thanks in advance!
  30. I

    How to find initial velocity from range and angle.

    Homework Statement A golf ball is hit at an angle of 30 degrees, it travels 50m landing straight in the hole. Ignoring air friction, what is the initial velocity? Homework Equations not too sure, d=vi.t+1/2.a.ts∧2, vf=u∧2+2.a.d, v=u+a.t, d=u.t The Attempt at a Solution Vertical...
  31. K

    What Determines the Range of the Strong Interaction?

    the strong interaction's range is 10-15m, but because gluons are massless shouldn't it be infinite? is it something to do w/ confinement?
  32. S

    Range of a f(x) involving floor

    Homework Statement I have to find the range of f(x) where: f(x)=7*floor(x) - floor(7*x) x is a real number. Then I have to prove that this set of numbers is correct. The Attempt at a Solution I am still on the range part, and thus am only asking about that part at the moment. It...
  33. C

    Understanding Domain & Range in R^2: Conditions for Image in Boundary

    Can you help me with this? I have a function with domain and range in R^2. What conditions it must have so that a point in the boundary of the domain will have its image in the boundary of the range? Thanks.
  34. putongren

    Ultra long range projectile problem

    Homework Statement Physics students know that if one fires a cannon ball and one assume that the Earth is flat and the gravitational strength is constant for all height, we use the equation Range = (Vo2/g)* sin 2 θ, Vo = initial velocity, g = 9.8 m/s2 , θ = projection angle. How do we find...
  35. J

    Domain and range of the function help needed work shown

    domain and range of the function help needed.. work shown! Given the function f(x)= (3x+4)/(5-2x) find the domain and range of the inverse function of f(x) work shown: it was proven to be one to one since f(x1)= f(x2) found inverse f(x) to be (5x-4)/(3+2x), i believe this is correct...
  36. D

    What is the natural domain and range for f(x,y) = 1/sqrt(x^2-y)?

    define the natural domain and range for f(x,y) = 1/sqrt(x^2-y) I get D= {(x,y)|x^2-y>0} same as saying y can not equal x^2 R= {(x,Y)|f>0} can someone tell me if I've approached this correctly?
  37. D

    Design of a conventional multi range voltmeter/ammeter

    Hi there.. is anybody here know how to design one multi range voltmeter/ammeter by using a D’Arsonval meter with a full-scale deflection rating of 1mA and the internal coil resistance of 500Ω? The measurement range of the voltmeter should cover the ranges as shown below...
  38. K

    I still don't quite get the idea of subspaces, span, and range

    Alright. As stated in the title above. So, a subspace is a set of vectors that satisfies: 1) It contained the zero vector; 2) It's closed under addition and subtraction. By "closed", it means that when I add another vector in R2 or multiply by a scalar k on A(x)=m, it will end up with...
  39. S

    How is horizontal range affected?

    I have this question from my book I really don't understand what they are asking for; A spring loaded gun is aimed horizontally and is used to launch two kind of weight of balls with different initial speeds and gravitational accelerations. The Gun is fixed position above the floor. The balls...
  40. I

    Projectile motion - surface of max range

    Doing an Analytical Mechanics course and we're just reviewing some classical physics and this question came up. Cheers for any help. Homework Statement A gun can fire shells in any direction with the same speed v. Ignoring air resistance and using cylindrical polar coordinates with the...
  41. H

    Sign-Magnitude Number Range in 34-Bit Representation

    1.What is range of sign-magnitude numbers that can be represented with 34-bits I kind of get it but I'm not sure, I know it has something to do with -2^n -1, 2^n-1 but I'm not sure how to represent it or what the question is really asking. Can anyone help?
  42. T

    CM input range of instrumentation amp

    Can anyone tell me how to calculate the common-mode input range of an instrumentation amplifier with all op-amps biased from +15V to -15V assuming all op-amps can swing rail to rail. Thanks.
  43. U

    Control of pH in acidic range by thermal degradation

    Hi all, Long time lurker, very seldom poster. I have a need for an aqueous soluble compound that will thermally decompose or oxidize to form acidic products in the temperature range 100-300 C. It's well known that, on the other end of the scale, urea is water-soluble and near-neutral pH at...
  44. G

    Is Your Experimental Value Within the Accepted Range?

    What is the "accepted range"? Homework Statement Were your values within an acceptable range? If not, find reasons for the discrepancy. Homework Equations ( |Accepted value - experimental value| ) / accepted value Absolute value of accepted value-experimental value over accepted...
  45. C

    Height, Velocity, Angle, Gravity = Range

    Homework Statement Im working on a project for school. We're suppost to learn something and teach it to the class, and I am having a hard time with this one. What I am looking for is an equation. I just don't know how to work height into what I have figured out so far. It is projection based...
  46. matt_crouch

    What is the range of f given by F(x)= 1/(x-1)(x+1), x>1?

    Homework Statement Find the range of f Homework Equations F(x)= 1/(x-1)(x+1) , x>1 The Attempt at a Solution I started by substituting x=2 and x=3 this gives me 1/3 and 1/8 respectively so i get that as x increases y decreases to infinity but how do i represent that as A<y<B...
  47. J

    Finding Range, Max Height and Speed of Projectile

    Homework Statement A projectile is fired with an initial speed of 100 ft/s and angle of elevation Pi/6 (30 degrees). Find: A) the range of the projectile (along the x-axis) B) the maximum height reached C) the speed at impact Homework Equations Vf^2 = Vi^2 +2a*s Vf = Vi + a*t...
  48. L

    Answers to Physics Questions: Temperature, Range, Forces, Spillage, and Speed

    [b]1. 1) You have a brass bar and an aluminum bar which are fastened to two immovable walls and there's an air gap between them. At a certain temperature, the gap measures a certain amount. What temperature will cause the gap to close? 2) A tennis ball starts from rest rolls down a hill and...
  49. F

    What's the widest ratio range for a CVT?

    Hi! I'm designing a human powered vehicle and I need to use a CVT (Continuously variable transmission) in its drive line. I want to know the widest range that the speed ratio of a normal CVT (One that's not very big, heavy, or expensive because our vehicle needs to be as light and cheap as...
  50. L

    Empty Relations: Domain, Range & Functionality

    What is an empty relation? Can an empty relation be a function? Is an empty relation one with the empty set as its domain or as its range or both? THanks
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