What is Zero: Definition and 1000 Discussions

Gonzalo Raúl Barrios Castro (born April 17, 1995), known by his gamertag ZeRo, is a Chilean former professional Super Smash Bros. player and streamer. He was considered the best Super Smash Bros. for Wii U player in the world throughout his career, with a record-breaking 56 consecutive tournament wins in the game from November 2014 to October 2015, including high-profile tournaments such as EVO 2015 and The Big House 5. Prior to the release of Super Smash Bros. for Wii U, he was a top ranked Super Smash Bros. Brawl and Project M player. His best known characters are Diddy Kong in Super Smash Bros. for Wii U, Pit in Project M, Meta Knight in Brawl, and Fox in Melee. He is the only player to have earned more than US$100,000 playing Super Smash Bros. for Wii U competitively.
Barrios retired from professional competition in July 2020 following allegations of sexting two minors in 2014, which also led to Barrios' sponsors cutting ties with him. Barrios later publicly admitted to the allegations.

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  1. F

    Show that the integral tends to zero

    Homework Statement How do I show that this integral tends to zero as b tends to a ? Homework Equations \int_a^b \int_0^a (f(a)-f(y))(x-y)dy(b-x)dx The Attempt at a Solution I'm not sure how to start. Any hints or ideas will be very much appreciated. We are given that function...
  2. M

    Determining a zero force member visually

    Hello, When given a truss structure, how does one tell visually just by looking at the structure which members are zero force members?
  3. F

    Q.M. harmonic oscillator spring constant goes to zero at t=0

    Homework Statement A one-dimensional harmonic oscillator is in the ground state. At t=0, the spring is cut. Find the wave-function with respect to space and time (ψ(x,t)). Note: At t=0 the spring constant (k) is reduced to zero. So, my question is mostly conceptual. Since the spring...
  4. S

    MHB Why is the integral of $\frac{1}{z+2}$ over $\gamma(0;1)$ equal to zero?

    Hello i would like to know why this integral is Zero: $$\int_{\gamma(0;1)}\frac{1}{z+2} \mathrm{d}z$$ Well i know by a fundamental result that: $$\int_{\gamma(a;r)}\frac{1}{z-a} \mathrm{d}z=2\pi\imath$$ But here the point $$z=-2$$ lies outside $$\gamma(0;1)$$ so what is the reasoning behind...
  5. I

    Why does a potential go to zero with infinite distance?

    in physics II, i learned about how the electric potential goes to zero as r goes to infinity. Okay, well, this was when we were dealing with two positive charges. ie a repulsive force. now I'm learning about gravitational potential now and i see this in my notes: \Phi\rightarrow0, r\rightarrow∞...
  6. Telemachus

    Quantum Mechanics: zero eigenvector

    Well, I know this have no sense. But I was trying to solve a problem on Cohen Tannoudji. The problem is in chapter IV, complement ##J_{IV}##, exercise 8. It says: Consider an electron of a linear triatomic molecule formed by three equidistant atoms. We use ##\left | {\phi_A} \right >, \left |...
  7. J

    Places electric potential is zero when 2 charges

    Homework Statement i'm having a bit of trouble understanding/visualising why the electric potential is zero in the red cross within region III and the green dot within region II from my current understanding, the green dot is where the potentials from both charges are equal and...
  8. maistral

    Ergun Equation reulting to zero pressure ratio

    I was trying to emulate a packed bed reactor, and apparently the pressure midway at the packed column became zero, until my numerical method failed altogether (as the pressure variable in the Ergun is at the denominator). I'd like to be enlightened about one thing - does this phenomena (zero...
  9. D

    Understanding and Exploring Zero Empirical Mean in Data Matrices

    Consider a data matrix, X, with zero empirical mean. What is zero empirical mean? Could someone please give me an example of such matrix?
  10. S

    Find V3 to Make I in 10Ω Resistor Zero

    Homework Statement In the circuit, find the value of V3 such that the current through the 10Ω resistor is zero. Homework Equations V=IR The Attempt at a Solution I am not sure how to apply Kirchoffs loop rule to this situation. If I want the current through the resistor to be zero...
  11. G

    E = mc^2, so how can anything have zero mass?

    E = mc^2 results in c^2 = E / m, and division by 0 is undefined.
  12. S

    What is Zero Action? What is zero action?

    What is "zero action" Hello All, I have been reading this thread, trying to understand the concept of action. There is one very intriguing (to me) statement in that thread: "So your action is the difference between your capability of motion and your actual motion. The principle of least...
  13. P

    How to calculate the integral of exp(-ikt) from -infinity to zero

    Homework Statement Hi everyone. I am trying to calculate $$f(k) = \int_{-\infty}^0 e^{-i k t} dt.$$ Homework Equations Of course we know that $$\int_{-\infty}^{\infty} e^{-i k t} dt = 2 \pi \delta(k)$$ and in fact (I think) I know that the answer to my question must be $$f(k) = \frac{i}{k}...
  14. S

    Zero lagrangian and induced gravitation

    Hello, Does anyone know what "induced gravity" is and where can one read (something not too technical) about it? I am trying to understand how a system with zero Lagrangian has something to do with gravity. Could someone explain perhaps? Thanks
  15. E

    Can a rotating object have zero kinetic energy?

    Hi, Since velocity is a vector quantity I assume it follows that KE must also by a vector since KE=1/2mv squared. Is it true to say a rotating object has zero total velocity since + = - and therefore the total KE is zero? Thanks
  16. U

    Proof that a limit is less than or equal to zero

    Homework Statement Proof that, If f is a function such that (1) f is differentiable at (open) the interval D, (2) D includes 0 and f(0)=0, and (3) for all x in D other than 0, f(x) and x have opposite signs Then f'(0)\leq0 Homework Equations None. The Attempt at a Solution I managed...
  17. M

    Zero order kinetics - theory query

    If equimolar amounts of iodine and propanone are reacted in acidic conditions, the [propanone] vs time graph would be expected to show an exponential decay as expected from first order kinetics. The [iodine] vs time graph vs time must therefore also be an exponential decay in order to obey the...
  18. M

    Filter Near-Zero Matrix Elements: Reasonable?

    Given A(m,n), eps = Machine Epsilon, fNorm = FrobeniusNorm(A), p >= 1 To filter noise near zero created by floating point error: if (|Aij| < fNorm * eps *p) Aij =0 end if Seem reasonable?
  19. H

    Find Zero Field Location of Two Charges of q1=4μC and q2=-1μC

    Homework Statement Two charges of q1=4μC and q2=-1μC are separted by a distance of 3 m.Find and justify the zero field location. Homework Equations E=\frac{kQ}{r^{2}} The Attempt at a Solution Consider a point x to the right of charge q1 where the field is zero.The distance of x...
  20. E

    An object above absolute zero radiates energy

    An object above absolute zero radiates energy. This implies that object on Earth too radiate energy(infrared?) My question is, if the Earth were not moving, we would be much slower, so would we radiate in some other wavelength of the spectrum? We are essentially traveling really fast because of...
  21. K

    Find the point b/w two charges where the electric field is zero?

    Homework Statement Two positive charges of 16 micro coulomb and 4 micro coulomb are separated by a distance 3 m along a straight line...find the spot on the line joining the two charges where Electric field is zero? Homework Equations E = F/Q and F = Q1Q2/R^2 The Attempt at a...
  22. B

    Why the off-diagonal elements of electric dipole element are zero?

    the two energy level atom, whose hamiltonian takes the form \hat{H_A}=E_g|g\rangle\langle g|+E_e|e\rangle\langle e|, where E_g as well as E_e represent the eigenvalues and |g\rangle as well as |e\rangle denote the ground state and excited state. There is an interaction between the atom...
  23. Hyo X

    Can Tunneling Occur at 0 Kelvin with an Applied Bias?

    Hypothetically: A pair of electrodes with a small insulating barrier between them. Transport is via tunneling through the barrier. You apply a small bias, and measure conductance because there is tunneling current. At 0 K, can there still be tunneling? Is it possible for a tunnel junction...
  24. L

    Invertible elements in a commutative ring with no zero divisors

    Homework Statement Suppose that a commutative ring R, with a unit, has no zero divisors. Does that necessarily imply that every nonzero element of R is invertible? Homework Equations The Attempt at a Solution We have to show that there exists some b in R such that ab = e. Having...
  25. S

    Gibbs free energy going to zero (equilibrium)

    Hi I have a 4 part question about phase changes and I hope you guys can help me out here thanks :) The chemical equation for vaporization for water is H2O(l)-->H2O(g) 1) When ΔG is 0 during a phase change we would use the formula ΔH=TΔS and put in values to get the boiling/melting point by...
  26. K

    Absolute zero and vibrating atoms

    I am trying to get a better understanding of what it means for an atom to vibrate. Let's say there is a chunk of iron in deep space that starts out with a temperature of 50 degrees celsius and is rapidly losing thermal energy. I will make the following assumptions: 1. The iron has thermal...
  27. L

    Prove convergence in probability for n * Poisson variable to zero

    The problem: Let \mu_{n} = \frac{1}{n} for n \in \mathbb{N}. Let X_{n} \; \mathtt{\sim} \; \textrm{ Poisson}\left( \lambda_{n} \right). Let Y_{n} = n X_{n}. Show that Y_{n} \xrightarrow{P} 0 . Work I've done: I've shown that X_{n} \xrightarrow{P} 0 by showing that \mathbb{P} \left(...
  28. B

    Do electric fields in a conductor go to zero in all instances?

    In the absence of external forces, the electric field inside a conductor is supposed to go to zero. This is because if any field were to exist, then the charges in the conductor would experience force and continue moving until they canceled the field. However, is it true that for any system a...
  29. M

    Why the Electric field in a conductor in equilibrium ZERO?

    Hi guys, can you please help me to understand the following question 1.Why the Electric field in a conductor in equilibrium ZERO?
  30. P

    Complex integral is zero but fn. is not analytic

    Hi I have been using a textbook which shows that ∫cos z/z^2 around the circle |z|=1 is zero by doing a Laurent expansion and finding the residue is zero. I was under the impression that only analytic functions have a integral of zero around a closed surface. ( the Cauchy-Goursat Theorem )...
  31. T

    Order of Zero of Complex Logarithm

    I'm not entirely sure if my reasoning is correct here... "[G]ive the order of each of the zeroes of the given function. 6. ##Log(1 - z)##, ##|z| < 1##" (Complex Variables, 2nd edition by Stephen D. Fisher; pg. 133) The complex logarithm function is defined in the following manner: ##log(z) =...
  32. Y

    Please help verifying Bessel function of zero order

    I worked out and verify these two formulas: \int_0^\pi \cos(x sin(\theta)) d\theta \;=\;\ \sum_{n=0}^{\infty} \frac{(-1)^n x^{2n} \pi (1)(3)(5)...(2n-1)}{(2)(4)(6)...(2n)(2n!)}\;=\; \sum_{n=0}^{\infty} \frac{(-1)^n x^{2n} \pi}{(2^2)(4^2)(6^2)...(2n)^2} \int_0^\pi \sin(x sin(\theta)) d\theta...
  33. C

    How Does Zero Moment Point Influence Robot Stability?

    So I was reading up "Zero Moment Point -Thirty Five Years of Its Life" by Vukobratic for a presentation, and is said something like this: So if I am reading this right, it's saying the point where the GRF is acting upon will shift based on the magnitude of the force created by the...
  34. R

    RLC Zero State/Zero Input Response

    Homework Statement In the above diagram, iin(t) = -0.5u(-t) + 2u(t) A R = 2 Ω L = 1 H C = 8 mF Find the zero-input, zero-state, and complete responses of vC(t) and iL(t) for t > 0. Homework Equations σ = R/2L for series RLC circuits ωn = 1/(sqrt(LC)) for RLC circuits ωd =...
  35. C

    Both limits of integration change to zero.

    Homework Statement Integrate (1 + x2)1/2 from -∏ to ∏ Homework Equations The Attempt at a Solution I substiuted x = tan(theta) but when I went to change the limits of integration I got 0 and 0. What am I doing wrong?
  36. D

    Dividing by a parameter that is zero

    Hi, I'm studying calculus of variations, this is a bit of a recap of regular calculus. You got a function, but you plug a vector that is parameterized so your function becomes parameterized, then you take the derivative in 3.5, and then they say: put the parameter to zero in 3.6, but then you...
  37. T

    What is the significance of measure zero?

    I don't understand what it means to have measure zero. Like I understand that the indicator functions is and what it does, but I am not exactly sure what measure zero is. Okay, I mean that I understand that: ## \int_{A} 1_{A} dx = \nu(A)## and this is the "volume" of some region A in...
  38. R

    Pressure-temperature graph without zero y-intercept

    I am a high school physics teacher and I've been trying out an experiment for my students. I used a manometer (a plastic tube in a U-shape partially filled with water) to measure the pressure of the air in a boiling tube. I placed the boiling tube into a beaker of water and varied the...
  39. 4

    Can something with zero rest mass (photon) curve spacetime?

    My understanding is that the presence of energy and matter curve spacetime. Is a photon considered energy? If so, how can it curve spacetime while having zero rest mass?
  40. R

    Where is the Electric Field + Potential zero? Draw a graph

    Homework Statement A -1.0 nC charge and a 1.0 nC charge are separated by 10.0 cm. a) At what position(s) is the electric field due to the two charges zero? b) At what position(s) is the electric potential due to the two charges zero? c) Draw a graph showing the zero electric field and zero...
  41. A

    Everything can be represented by ones and zero

    Studying computer science I noticed that such complicated software and programs are basically just ones and zeros lined up. Everything is just a yes or no. Can everything be broken down into a yes or no? By everything I mean human behavior, laws of physics etc.
  42. N

    Why is the limit of ln(x)/arctan(x) as x approaches 0 from the right, not zero?

    Homework Statement Why is the limit of ln(x)/arctan(x) as x approaches 0 from the right, not zero? Homework Equations The Attempt at a Solution I used L'hopital's rule and got zero. But question specifically states that is not the answer.
  43. A

    Why is the electric field zero inside the DEES of a cyclotron?

    why is the electric field zero inside the DEES of a cyclotron?
  44. mpx86

    Why does it work only when h tends to zero?

    why does it work only when h tends to zero? \hat{}\[\begin{array}{l} f(x + h) = xf(x)\\ Ef(x) = xf(x)\\ E = x\\ \ln E = hD\\ \ln x = hD\\ f(x) = y\\ y\ln x = hDy\\ y\ln x = h\frac{{dy}}{{dx}}\\ \int {} \ln xdx = h\int {} dy/y\\ x\log x/e = h\ln y + \ln c\\ x\log x/e = h\ln y/C\\...
  45. A

    If a is not equal to zero then b/a=b*a^-1

    Homework Statement Prove: if a\neq0 then b/a=b*a^-1 I don't know if my proof is sufficient with this one but I cannot think of another way. Also I am only supposed to use the basic axioms (e.g. commutative, distributive, existence of reciprocal...) Homework Equations 1/a=a^-1 (I am...
  46. B

    How many ways to sum vectors in a plane to zero

    Homework Statement (a) Suppose you have two arrows of equal length on a tabletop. If you can move them to point in any direction but they must remain on the tabletop, how many distinct patterns are possible such that the arrows, treated as vectors, sum to...
  47. SSGD

    Crystal Structure of Metals at Absolute Zero, Waves

    I have been trying to find information on the crystal structure or phase of solid elemental metals at temperatures close to absolute zero, but I can only find information on there ambient structures. Does anyone know of any sources that would have thermodynamic tables for solid metals at low...
  48. C

    Does the Ward identity rescue a zero photon mass?

    In Peskin at page 248 he finds that if he calculates the vacuum polarization that $$\Pi(q)^{\mu \nu} \propto g^{\mu \nu}\Lambda^2$$ a result which violates the Ward identity and would cause a non-zero photon mass $$M \propto \Lambda$$. But as Peskin states, the proof of the Ward identity...
  49. H

    Why the magnetic moment is zero for occupied levels?

    I can not get convinced why for energy level, filled with an even number of electrons, the net magnetic moment is zero! If we have a level with the quantum number l, we have two electrons with opposite spins in it. Also magnetic moment is proportional to Jtotal where J_t= J_1+J_2(1and 2 refer...
  50. U

    Volume of paraboloid using divergence theorem (gives zero)

    Homework Statement A surface S in three dimensional space may be specified by the equation f(x, y, z) = 0, where f(x, y, z) is a real function. Show that a unit vector nˆ normal to the surface at point (x0, y0, z0) is given by Homework Equations The Attempt at a Solution r...
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