Bounds Definition and 182 Threads

In sports, out of bounds (or out-of-bounds) refers to being outside the playing boundaries of the field. Due to the chaotic nature of play, it is normal in many sports for players and/or the ball to go out of bounds frequently during a game. The legality of going out of bounds (intentionally or not), and the ease of prevention, vary by sport. In some cases, players may intentionally go or send the ball out of bounds when it is to their advantage.

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  1. A

    MATLAB Embedded Matlab Array Bounds Error

    Hi, I keep running into the same problem using the embedded MATLAB blocks of simulink. Once the equations to be solved in my blocks reach a certain length I get an array out of bounds error. I know Simulink can handle this size of calculation in a timestep as I have much larger equations...
  2. S

    Asymptotic lower/upper bounds for unconventional T(n)?

    Similarily to my previous post, I am trying to find out how to solve the lower/upper bounds for a given T(n) - the book I have been reading refers to using the Master Theorem which I seem to be able to apply in the standard case, however when the T(n) is unconventional form I am at a loss to see...
  3. S

    Asymptotic lower/upper bounds for T(n) [Master Theorem?]

    I am trying to find out how to solve the lower/upper bounds for a given T(n) - the book I have been reading refers to using the Master Theorem which I seem to be able to apply in the standard case, however when the T(n) is non-standard I am at a loss to see how to solve the problem. For...
  4. N

    How to Find the Volume of a Region Bounded by Planes and Surfaces?

    Hi guys, Im currently revising for my exams and I encountered a problem I hope someone will be able to help me with. Homework Statement Find the volume of the region of space bounded by: The planes x=0, y=0, z=0, z=3-2x+y and the surface y=1-x^2 Homework Equations \int \int \int _R...
  5. T

    How to Integrate Upper Bounds with Circumscribed Rectangles

    [SOLVED] Upper Bounds Integration Homework Statement Integrate y=4x from 2 to 5 using the limit with circumscribed rectangles. Homework Equations A=lim(n to inf.) Summation of f(xsubi) times delta (xsubi) The Attempt at a Solution A=lim(4/n)(4/n)(4)(2+3+4+...+(n+1))...
  6. C

    Limits (x increasing without bounds)

    Before we start, can you just explain how to start me off? I understand the idea of all limits, just a few tricky ones that were assigned for homework. (note: ALL limits are x --> infinity) Homework Statement lim ^{}\frac{10}{x}lim \frac{x^{2}+a^{2}}{x^{3}+a^{3}}lim (1 - r^{x}) , |r| < 1...
  7. K

    LaTeX Show the bounds of an integral in LaTeX

    Hey I'm typing out my math homework, and I've run into some notation that I'm kind of confused about: I need to know how to show the bounds of an integral after you've taken the antiderivative. Kind of like this: Integral (bounds: 0 to 2) of x^2 = [1/3x^3] (0 to 2). The actual...
  8. F

    Complex variables questions, limits and bounds

    If I have a function f(z) such that limit z --> infinity is finite what do I know about that function? Is it "bounded" or am I still confused about what "bounded" means?
  9. C

    Find derivatives and bounds of x^2 e^(-3x)

    1.with the function: f(x) = x^2e^-3x a)find f'(x) and f''(x) b)find the critical points of f(x) c)use the derivative to determine where f(x) is increasing and decreasing. d)use the second derivative to determine where f(x) is concave up and concave down. Identify any points of...
  10. J

    Bounds of a function and limits

    Homework Statement A function is decreasing if f(x_{1}) > f(x_{2}) whenever x_{1} < x_{2}, and x_{1}, x_{2} \epsilon \Re a) Show that the set {f(x) : x < a} is bounded below b) Prove that lim (as x goes to a) f(x) = glb{f(x) : x < a} (hint: show that for any \epsilon > 0, there exists...
  11. S

    Understanding Upper and Lower Bounds in Analysis Solutions

    I was recently looking at the solutions to a problem set I have in analysis and there was something I didn't understand. This is the problem in the problem set: Homework Statement Let A ⊂ R be nonempty. Define −A = {−x / x ∈ A}. Show that sup(−A) = − inf A and inf(−A) = − sup A. So I...
  12. Saladsamurai

    Volume of Solid Revolved Around Y-Axis: Bounds Check

    find the volume of the solid resulting when the region enclosed by the curves is revolved around y-axis. x=\sqrt{1+y} x=0 y=3 I am using this integral... V=\int_{-1}^3[\pi(\sqrt{1+y})^2]dy and I am getting the wrong answer. I think it is just arithmetic, but are my bounds...
  13. E

    Error bounds with approximated M value

    How do you approximate the value 'M' for the error bound formula for the Trapezoid Rule of a function that the derivative cannot be found? Error Bound Formula: http://archives.math.utk.edu/visual.calculus/4/approx.2/index.html I'm trying to figure out the value of n to get erf(1.00)...
  14. T

    Quite a long 'bounds' question

    hope you can help with this question, its a gcse paper (16 year olds) and I think i may have either made a mistake, been doing it the wrong way, or simply found the answer but me being paranoid thinks the working is too long and answer not simple enough thnx for the help Homework Statement...
  15. U

    Integration bounds when integrating a half sphere

    I have to integrate over the northern hemisphere of a sphere. The answer states that the integration bounds for r is 0 to R, for theta it's 0 to pi/2, for phi it's 0 to 2pi. What I don't understand is why theta doesn't go from 0 to 2pi. If I had to set this up, I would have theta going from 0...
  16. M

    Calc 3, double integrals, how do they find the bounds of the graph to integrate?

    Hello everyone, I'm having issues figuring out how you find the bounds of each of these graphs, I have the solution manual but I still don't see how they did it. For example: The directions say to evaluate the double integral:http://img241.imageshack.us/img241/903/scan0001nx8.jpg On the...
  17. C

    MATLAB Matlab problem - index out of bounds because numel(temp3)=0

    Hi, I am using a Matlab program called f2matlab, which converts fortran 90 code to MATLAB code. But I keep on getting the following error: Attempted to access temp3(1); index out of bounds because numel(temp3)=0. Does anyone know what this error relates to? :rolleyes: Thanks in...
  18. T

    Bounds for triple integral

    Integrate the function f(x,y,z)=–6x+2y over the solid given by the "slice" of an ice-cream cone in the first octant bounded by the planes x=0 and y=sqrt((277/123))x and contained in a sphere centered at the origin with radius 25 and a cone opening upwards from the origin with top radius 20. I...
  19. J

    How Do You Determine Upper and Lower Bounds for Double/Triple Integrals?

    Hello, I am having trouble understanding how to determine what is the lower and what is the upper bound in some calculus problems. For example: Evaluate the double integral xydA, where D is the region bounded by the line y=x-1 and the parabola y^2=2x+6. Now you set it up to take the...
  20. K

    CT Convolutions and their bounds

    This question deals with an example found in Signals and Systems, 2ed, page 99, ex 2.7. But I can summarize it here: EDIT - my latex doesn't seem to work ... x(t) = (1, 0 < t < T) or (0, otherwise) h(t) = (t, 0 < t < 2T) or (0, otherwise) I realize there are five bounds...
  21. C

    Primorial: asymptotics and bounds

    I was wondering if anyone knew of good approximations of the primorial function for large numbers, or of reasonable bounds for it. By primorial I mean: n\#=\prod_{p\le n}p for p prime. All I know is n\#\sim e^n and the trivial \pi(n)!\le n\#\le n!. For small numbers (n <...
  22. I

    Finding Bounds for x and y: Tips and Hints

    given \frac{x + \sqrt{x^{2} - 4y}}{2} \geq 0 \frac{x - \sqrt{x^{2} - 4y}}{2} \geq 0 how do I find the bound of values of x and y? my first answer were x\geq 0 and y\geq 0, but I discovered flaws in my solution. any hints? thanks.
  23. E

    Finding bounds of a centroid problem

    I am having a problem finding the upper and lower (x,y) bounds for this problem. Find the centroid of r = 1 + cos(theta) which lies in the 1st quadrant. I come up with (2,0) and (1,0) or the axis intercept points. Is this the correct way to go about it? m=((&int;)[0]^2 ) (&int;)[0]^1
  24. G

    Numerical Analysis: Taylor Polynomials, Error, Bounds

    (a) I found the answer to be: 1/(1-x) = 1 + x + x^2 + x^3 + ... + [x^(n+1)]/(1-x) for x != 1 *Note: "^" precedes a superscript, "!=" means "does not equal" (b) Use part (a) to find a Taylor polynomial of a general (3n)th degree for: f(x) = (1/x)*Integral[(1/(1 + t^3), t, 0, x] *Note...
  25. D

    Error Bounds for Approximate Integration

    Does anyone know a trick for finding "K" in the error bound equations for approximate integration? The approximate integrations we have learned so far are Midpoint Rule, Trapzoid Rule, and Simpson's Rule. Thank you.
  26. B

    Determining Monotonicity & Bounds in Sequences

    Need help clairfying some stuff. How do you determine if a Sequence is not monotonic? Also if its just inc. or dec. its monotonic? For example. Seq=An= 1/(2n+3) First 4 terms are {1/5,1/7,1/9,1/11,...} So its decreasing...and I guess monotonic? And how would you determine if that sequences...
  27. E

    Deciding Bounds & Finding Sup/Inf

    Help! I've been asked to decide whether or not the given sequence is i) bounded above ii) bounded below iii) bounded and to determine (where appropriate) the supremum and infimum. I've got like 6 similar questions to attempt but I don't know where to start :confused: The examples we...
  28. N

    Euler's number e, proving convergence and bounds

    The transcendental number e – Euler’s number (the underscores(_) represent subscript and (^) represent superscript/exponet) The limiting value of sequence {e_n} where e_n = (1+1/n)^n is the irrational number e. My text gives a challenge to see if you can prove that this converges by verifying...
  29. N

    Determining convergence, monoticity and possible bounds

    my problem is to determine if a sequence is convergent by deciding on wether its monotone increasing or decreasing, and to identify a bound if it exists. given x(sub n) = n/2^n. first I pluged in n values and found that as n gets bigger x(sub n) gets smaller and appears to go to zero. so I...
  30. M

    Prove Cauchy sequence & find bounds on limit

    Here's the problem statement: Prove that x_1,x_2,x_3,... is a Cauchy sequence if it has the property that |x_k-x_{k-1}|<10^{-k} for all k=2,3,4,.... If x_1=2, what are the bounds on the limit of the sequence? Someone suggested that I use the triangle inequality as follows: let n=m+l...
  31. Math Is Hard

    Error bounds - Simpson, Trap, and Midpoint

    I always have trouble finding my "k" value for error bounds when doing approximation of integrals. With Trapeziodal and Midpoint error bounds, I take the second derivative of my function. Then I find the number on the interval (between limits of integration that I am given) that will give me...
  32. E

    How Do You Determine the Least Upper Bounds of N and P in Repeating Decimals?

    I have to find the least upperbounds on N and P where x is an element of the reals and represented by the repeating decimal x=m.d1d2...dNdN+1...dN+P instead of underlining I meant for this to be an overline representing the repeating sequence of digits in the decimal
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