What is Square: Definition and 1000 Discussions

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or 100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted



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{\displaystyle \square }
ABCD.

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  1. P

    Graphing the V vs I relationship of diode using Square wave

    Homework Statement I am having trouble understanding what this picture is showing. [/B] I know that in the case of a sine wave, the voltage below zero will not conduct much if it does not drop past the breakdown region. On the other hand, it will start to conduct and grow exponentially at...
  2. P

    Calculating magnitude of electric field at center of square

    Homework Statement Find the magnitude and direction of net electric field at the center of the square array of charges. Find E_x and E_y The square array of charges http://postimg.org/image/4gf94ymmf/ The Attempt at a Solution [/B] My attempt at drawing in the force vectors...
  3. K

    Algebra problem involving square roots

    So I stumbled upon this problem: Solve: And I have attempted to solve it, however my solution doesn't match that of the book. The solution should be x+4, but I don't have a clue how to get to that. I'm sorry if this seems pretty rudimentary, but I just want some help because it's the first...
  4. Ajit Kumar

    Why is velocity of sound inversely proportional to square r

    A. Sound is nothing more than a local disturbance whose propagation is facilitated by the collisions between particles B. The distances between molecules in solids are very small, i.e., solids are more dense - as compared to liquids and gases. Because they are so close, than can collide very...
  5. M

    V(volt)/A(angstrom) to W(watt)/cm2 (centimeter square)?

    Dear all I am reading one paper and confused how authors converted V(volt)/A(angstrom) to W(watt)/cm2 (sentimeter square). The article entitled ''Modifying the Interlayer Interaction in Layered Materials with an Intense IR Laser'' Associated link is...
  6. E

    Blackbody Radiation and the Inverse Square Law

    I am currently confused with the concept of the blackbody radiation and the inverse square law. Planck's function for the radiation of a blackbody is in ##W sr^{-1} m^{-3} ##, is this somehow a form of intensity (because of the watts per square meter unit)? If it does, doesn't intensity...
  7. P

    The expected value of the square of the sample mean?

    Homework Statement In my notes I keep stumbling upon this equation: Equation 1: E(X-bar^2) = (σ^2)/n + μ^2 I was wondering why the above equation is true and how it is derived.The Attempt at a Solution E(X-bar^2) ##Summations are from i/j=1 to n = E[(Σx_i/n)^2)] = E[(Σx_i/n)(Σx_j/n)]...
  8. Ebenshap

    How inverse square law is derived from area of sphere

    I almost understand how the inverse square law is derived from the area of sphere equation, 4πr2, but I'm not quite clear on what happens to the 4π. I found one equation that seemed to say that the intensity is equal to the area of the sphere of the source point times the amount of whatever...
  9. chimath35

    Limit problem with square root

    I have done this problem before but forgot how to get from one step to the next: let a>0. how is absval(x^1/2-a^1/2) equal to abval(x-a)/(x^1/2-a^1/2)?
  10. Raffaele

    Square numbers between n and 2n -- Check my proof please

    I noticed that for any integer greater than 4 there exists at least one perfect square in the open interval (n, 2n). I think I have proved the statement, but as I am not a professional, I'd like someone to review my proof. By induction we see that it is true for n=5 because 5<9<10. Now suppose...
  11. D

    I have a quick question on square roots.

    There's this problem on my homework that says something like 5√x3, except the 5 is like an exponent directly to the left of the square root sign. I'm not sure how to solve it, but I'm just guessing that the answer is x3/5 because, eh, who knows.
  12. B

    How many square centimeters are in 2.5 ft^2 ?

    Homework Statement How many square centimeters are in 2.5 ft^2 ? Known: 1 inch≡2.54 cm 1 foot≡ 12 inches Homework EquationsThe Attempt at a Solution 2.5 ft^2/1 x 12in/1ft x 2.54cm/1in = 76.2 cm I tried converting 2.5 ft^2 to centimeters by using dimensional analysis. However, I realized...
  13. M

    MHB Is the Lemma True for All Fields?

    Hey! :o I want to show the following lemma: Assume that the characteristic of $F$ is $p$ and $p>2$. Then $(t^m-1)/(t^n-1)$ is a square in $F[t, t^{-1}]$ ($F[t,t^{-1}]$: the polynomials in $t$ and $t^{-1}$ with coefficients in the field $F$) if and only if $(\exists s \in \mathbb{Z}) m=np^s$...
  14. R

    Square steel tubing for a beam....did I do this right?

    I need to come up with a beam (two of them, actually) that will hold a large steel box suspended over a hole in which it will ultimately be buried. The box is 9 feet long by 5'6" wide and weighs 1600 pounds. The box will not rest across the length of the beam, it has to rest on two supports on...
  15. D

    Square root function: x intercept paradox?

    Here's my equation y= sqrt (x+4)+1 I want to find the x intercept. Ok so i replace y with 0 and solve for x 0= √(x+4)+1 -1=√(×+4) (-1)2=×+4 1=×+4 -3=× So it looks like the x intercept is (-3,0) But then when i go back and plug in -3 in place of x... y=√(-3+4)+1 y=1+1 y=2 I now have a point...
  16. A

    Find the magnetic force on the square loop

    Homework Statement A square loop PQRS carrying a current of 6A is placed near a long wire carrying 10A as shown in the figure. Find the magnetic force on the square loop. Homework Equations F = B * i * l ...... (1) B = (µ0 * i)/2 π r The Attempt at a Solution I tried finding out the...
  17. H

    Please help me prove this statement about square numbers

    Hi, a friend of mine gave me a math problem which I've spent hours trying to find different methods to solve. But none of them work and I'm now out of ideas. The problem goes like this: So for example, ##17^2 = 1^2 + 2(12^2) ⇒ 17 = 3^2 + 2(2^2) ## or ## 3^2 = 1^2 + 2(2^2) ⇒ 3 = 1^2 + 2(1^2)##...
  18. T

    Two (almost) independent infinite square wells

    Homework Statement Consider a one-dimensional, nonrelativistic particle of mass m which can move in the three regions defined by points A, B, C, and D. The potential from A to B is zero; the potential from B to C is (10/m)(h/ΔL)2; and the potential from C to D is (1/10m)(h/ΔL)2. The distance...
  19. X

    Complete the square and find the tangent line

    I'm having a hard time solving this problem and was wondering if someone could explain to me how to solve it. Math isn't my strong point so be as noob friendly as possible...Thanks! So the function is f(x)=4x2+2x , a=-2 First I'm supposed to complete the square and graph it(Yes I looked online...
  20. F

    Regarding root mean square velocity

    I am stuck with this question: why can't we use the equation c(rms)=√(3RT/M) for problems when no of moles is not 1? Because I think the mole will be deduced as c(rms)=√(3nRT/nM) =√(3RT/M) For instance I found this problem, given atmospheric pressure is 10^5 Pa, molecular mass of Nitrogen...
  21. C

    MHB Proving the integer that p is even and its square is even as well

    Dear Everyone,I would like some help to get start with a proof. A problem states, "if p is an integer, show that p is even iff p^2 is even."I know that p is the an integer. Let p be an integer. $p=2m$, where m is an integer.Thank you for your help CBarker
  22. T

    Acceleration of a point on square

    Homework Statement 2. Homework Equations [/B]The Attempt at a Solution The origin is placed to the right of point P and left is taken to be the positive direction.Let us call mass of each rod as M and the angle which rods make with the horizontal as θ . Coordinates of A =...
  23. D

    Minimum value of V_0 for Odd Solutions in Square Well Potential

    Homework Statement Consider a particle in a square well potential: $$V(x) = \begin{cases} 0, & |x| \leq a \\ V_0, & |x| \geq a \end{cases} $$ We are interested in the bound states i.e. when ##E \leq V_0##. (1) Show that the even solutions have energies that satisfy the transcendental...
  24. N

    MHB Completing A Square and Trig Sub

    I have a problem with the integration of $\int \sqrt{x^2 +4x +5} \,dx$ I first started by completing the square ${x}^{2} +4x + 5 = {x}^{2} +4x +4 - 4 +5 $ After I completed the square the integral became $\int\sqrt{{x}^{2} +4x +4 - 4 +5}\, dx = \int\sqrt{{x+2}^{2}+1} \,dx$ Then I did a trig...
  25. N

    Integral of exponential over square root

    Hello guys, How can I evaluate the following integral please? ##\int_{-\infty}^{+\infty}\frac{e^{i A x}}{\sqrt{x^2+a^2}}dx## Thank you
  26. gracy

    EMF Induced in Moving Square Frame: Analyzing the Effects

    Homework Statement [/B] A conducting square frame of side a and a long straight wire carrying current I and located in the same plane as shown in the figure. The frame moves to the right with a constant velocity v. The emf induced in the frame will be proportional to Homework Equations [/B]...
  27. epenguin

    Were you taught square root extraction at school?

    And what are the methods? This was stimulated by This question could be rephrased as "use the method for finding square roots you were taught in school to find √7 to 6 decimal places". If you were taught at school. If you were not taught at school you were luckier than me, I was. It has had...
  28. astrololo

    To circumscribe a square about a given circle

    http://aleph0.clarku.edu/~djoyce/java/elements/bookIV/propIV7.html I was just wondering something . We know that if a line touches a circle at one point, then this means that this line is forming a right angle with the diameter of the circle. (“From this it is clear that the straight line drawn...
  29. C

    Ground state in an infinite square well with length doubling

    Homework Statement Assume a particle is in the ground state of an infinite square well of length L. If the walls of the well increase symmetrically such that the length of the well is now 2L WITHOUT disturbing the state of the system, what is the probability that a measurement would yield the...
  30. Gvido_Anselmi

    Calculating the Average Value of Square Spin for a Composite System

    Hello everyone. Let us consider two fermions whose spin state wave functions are certain (normalized) ##\psi_{1}## and ##\psi_{2}##. So the overall normalized spin state wave function of this system is of the form: ##\psi = (1/\sqrt{2})(\psi_{1} \psi_{2} - \psi_{2} \psi_{1})## Is there any...
  31. C

    Solving Square Root Problems: 10^2+10^2 to 10*√(2)

    Hi I'm just wondering: How does √(10^2+10^2) become 10*√(2) ? I also noticed that √(10^2+10^2+ 10^2) becomed 10*√(3) But how to you mathematically - ith more steps- go from √(10^2+10^2) to 10*√(2)? Kind regards, Christian
  32. N

    Infinite Square Well (Conceptual)

    Homework Statement Say, for example, a wave function is defined as 1/sqrt(2)[ψ(1)+ψ(2)] where ψ are the normalized stationary state energy eigenfunctions of the ISQ. Now, say I make a measurement of position. What becomes of the wavefunction at a time t>0 after the position measurement (i.e...
  33. abm77

    Four charges equal in magnitude form a square

    Homework Statement Four charges equal in magnitude of 20.0 microC are placed on the four corners of a square with side length 0.180m. Determine the electric field at the centre of the square. (-q) ---------- (+q) l l l l l...
  34. G

    Square root of complex number on a calculator

    I'm working through some examples in a textbook but i am unable to get the desired answer on my calculator, i keep getting math error and various other results which are not the answer I'm looking for. What i have is: √ 62.9∠88.2 / 0.00165∠72.3 Please could someone tell me what answer you get...
  35. C

    How accurate is the square root of a number?

    This may sound like a silly question but: How accurately has the squareroot of numbers like 2,3,5 etc. been measured? When you type it into a calculator it gives you an answer with a certain amount of decimal points, the calculator is of course software programmed by a group of people who can't...
  36. M

    Equilibrium of Charges on a Square: Find q

    four charges each equal -Q placed at the four edges of a square and a charge q is placed at the centre. if system is in equilibrium the value of q is, the answer is q = Q/4 * ( 1 + 2(√2) can anyone please solve this, would be great
  37. Robsta

    Square wire loop moving in a static B field.

    Homework Statement [/B] 3. A square loop of area a 2 is formed from a single turn of thin wire of resistance R. The loop is aligned with two sides parallel to an infinite straight thin cable, with its closest side a distance r away, and is given a velocity v in a direction perpendicular to the...
  38. M

    Area of figure, resulting from unit square transformation

    1- Let the linear operator on R^2 have the following matrix:A = 1 0 -1 3 What is the area of the figure that results from applying this transformation to the unit square? 2- I am abit confused here, I thought that the matrix for the unit square would be, 0 0 1 0 0 1 1 1... But...
  39. X

    MHB Find Positive Square Root of 30

    find the positive square root of 70-20\sqrt{30}
  40. S

    Magnitude and Direction of an (E) Electric field of a square

    Homework Statement What is E in Magnitude and Direction at the center of the square of (fig. 3-7). Assume that q = 10x10-8 C and a = 5 cm Now I have am not well versed with vectors, I don't like them and they don't like me. I can not figure out the directions the magnitudes move in.Homework...
  41. Robsta

    Calculating variance of momentum infinite square well

    Homework Statement Work out the variance of momentum in the infinite square well that sits between x=0 and x=aHomework Equations Var(p) = <p2> - <p>2 $$ p = -i\hbar \frac{{\partial}}{\partial x} $$ The Attempt at a Solution I've calculated (and understand physically) why <p> = 0 Now I'm...
  42. wood

    Infinite Square Well Homework: Solutions & Analysis

    Homework Statement Consider an infinite square well defined by the potential energy function U=0 for 0<x<a and U = ∞ otherwise Consider a superposed state represented by the wave function ## \Psi(x,t)## given at time t=0 by $$\Psi(x,0) = N \{(-\psi_1(x) + (1+ i)\psi_2(x)\}$$ 1. Assume that...
  43. R

    Materials for a small catamaran? (30 cm x 30 cm square max)

    Hey! I'm an EPFL student in 1st year, and we are creating an amphibious vehicle which has to work with the strenght of a spring, so we decided to give him the form of a Catamaran. The thing is that it cannot overpass 1kg, so we prefer not to use aluminium. For the hulls we decided to use High...
  44. P

    Conversion pounds per square inch/pascals

    Heya guys, I am having a problem converting units like pascals and pounds per square inch. I do not understand, what "area" of measurement does a pascal cover as opposed to a "pound per square inch" obviously being in an inch, the pascal is per what area?For example when I try this to help me...
  45. A

    Square based prism general rule

    Homework Statement See attached picture Homework Equations For any rectangular prism, the formulas are the following: Surface Area = 2(lw + wh + hl); l is length, w is width, and h is height. Volume = lwh; l is length, w is width, and h is height. For a square-based prism, the formulas are...
  46. gfd43tg

    Two independent particles in an infinite square well

    Homework Statement Homework Equations The Attempt at a Solution a) For this part, I know for distinguishable particles, the expectation value of the square distance $$\langle (x_{1}^{2} - x_{2}^{2}) \rangle = \langle x^{2} \rangle_{2} + \langle x^{2} \rangle_{3} - 2 \langle x \rangle_{2}...
  47. C

    MHB How to distribute square roots without making common mistakes?

    I'm homeschooled, but it's gotten to the point that my Mom doesn't know how to do what she's teaching me anymore. So now I'm teaching myself with just a textbook and no one to explain it to me. I'm stuck on an issue probably simple, but I still need help. I believe I messed up on the last lines...
  48. P

    Pressure per square inch to pressure per square foot

    Heya guys, I and some colleges were discussing pounds per square and pounds per square foot and I wonder if you can help me with an answer, I would be grateful.So the question is, what is pounds per square inch relative to pounds per square foot? For example, if I had some flooring installed in...
  49. M

    Calculate No. of Spheres to Cover 50% of a 25m^2 Square

    If I have a square surface of 25 m^2 and I want to know how many sphere of radius r will cover 50% of the area, then how to proceed ? Should I calculate the area of circle which will form by projecting a sphere on a 2D surface, and divide 12.5 m^2 by this area to get the no. of spheres ?
  50. Emmanuel_Euler

    Square Root Rules: x^(1/2), abs(x), F(x), & More!

    hi guys i know all square root and any root(cubic...) rules sqrt(x)=x^(1/2) sqrt(x^2)=abs(x) sqrt(xy)=sqrt(x)*sqrt(y) sqrt(x/y)=sqrt(x)/sqrt(y) sqrt(-x)=isqrt(x) f'(x)=1/2sqrt(x) F(x)=2/3*(x^3/2) ..... my question is: is there any rules for this sqrt(x+y) or sqrd(x-y)?? any help please??
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