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. U

    Help in showing that this inner product is zero

    The unormalised plane wave solution is given as ##u_{\vec{k}}=e^{i\vec{k}\cdot\vec{x}-i\omega t}##. I want to show that ##(u_{\vec{k}},u^{*}_{\vec{k}'})=0##. However, I don't seem to be able to get the answer through direct calculation. Any hints on how to obtain the answer?
  2. qh4305

    Exploring the Zero Energy of a Circuit in a Magnetic Field

    Why is the energy of a circuit placed in a magnetic field at infinity zero?
  3. A

    I How do Cooper pairs carry a current with zero net-momentum?

    One of the first starting points of introducing BCS theory in a superconductor is applying a theorem stating that the ground-state of a quantum system has an expectation value for its momentum of zero. You then use this to say that an electron must pair with another electron of equal and...
  4. uranium92

    A Graph analysis problem to find when the acceleration is zero

    I had deduced that B,E,H are the places where acceleration will be zero, but when I read the solutions it showed that K also has a = 0. It said it had maximum slope and then said a = 0. But I couldn't understand why? Please help.
  5. A

    SR - Getting Zero Spatial Displacement

    Summary:: I have tried for some time to understand my error but can't figure it out. Any help will be much appreciated. Hi! I'm trying to figure out why the spatial displacement from two events A and B gives zero when I use one method compared to another which doesn't give zero spatial...
  6. E

    I The energy of a closed universe is zero

    In a globally hyperbolic spacetime you have a global time ##t: M \longrightarrow \mathbf{R}## which foliates it into Cauchy surfaces ##\Sigma_t## and the metric can be written ##\mathrm{d}s^2 = -N^2 \mathrm{d}t^2 + h_{ij}(\mathrm{d}x^i + N^i \mathrm{d}t)(\mathrm{d}x^j + N^j \mathrm{d}t)##. By...
  7. M

    Engineering Optical Fibres: Wavelength for Zero net Dispersion

    Hi, I was working on the problem below: Question: An optical fibre transmission system uses a step-index multimode optical fibre which has a core refractive index of 1.49 and a cladding refractive index of 1.48. The fibre is also subject to material dispersion which is a function of wavelength...
  8. Pipsqueakalchemist

    Engineering Zero Velocity & Acceleration of Point of Contact: Problem Explanation

    For this question the ball is rolling without slipping so that means the velocity of the point of contact is zero. Does that also apply to the acceleration of the point of contact? Because that’s what I assumed and I applied the relative acceleration formula above and use the starting point to...
  9. Eclair_de_XII

    If a polynomial is identically zero, then all its coefficients are 0

    Suppose ##a_0+a_1x+\ldots+a_nx^n=0## and restrict the domain of ##p## to the set of real numbers excluding the roots of ##p##. Note that: if ##a_0 == 0##: ##x=0## is a root of ##p## else: ##x=0## is not a root of ##p## Assume the latter. Subtract ##a_0## from both sides of the equation...
  10. DaTario

    I P-adic Order of Zero: Exploring the Assumption

    Hi All, The p-adic order of a positive integer n is the exponent of the highest power of the prime p that divides n. I would like to know why it is commonly assumed that the p-adic order of zero is infinite. best wishes, DaTario
  11. M

    MHB M has the unit matrix at the upper left side and zero everywhere else

    Hey! :giggle: Let $\lambda\in \mathbb{R}$ and \begin{equation*}a=\begin{pmatrix}1 & 2 &-1& \lambda & -\lambda \\ 0 & 1 & -1& \lambda & 2\\ 2 & 2 & 1 & 1 & 3\lambda-1 \\ 1 & 1 & 1 & \lambda & 5\end{pmatrix}\in \mathbb{R}^{4\times 5}\end{equation*} (a) Let $\lambda=1$. Determine a Basis...
  12. Mr Davis 97

    Dimension of set of all linear maps that map three elements to zero

  13. Physics4Funn

    A Exploring Metrics Before the Big Bang: What Does Zero Mean?

    I know about these metrics Euclidean metric Einstein manifold Riemannian, pseudo-Riemannian manifolds or Riemannian space Lorentzian manifold Minkowski space Kähler manifold Schwarzschild metric Kerr, Kerr–Newman metrics Reissner–Nordström metric inverse or conjugate or dual metric Induced...
  14. theycallmevirgo

    Just got into Horizon Zero Dawn (PC)

    Many, many wonderful ideas in that game. What sticks out most immediately is how a society which needs to deal with an infestation of large, occasionally hostile autonomous machines whose only common weakness is an inability to fly will "naturally" develop "structural engineering" that resembles...
  15. nduka-san

    Electrical Raspberry Pi Zero W receiver / transmitter

    For a project that I'm making it has a raspberry pi 0w as its cpu for running autonomously, But I want to make use the raspberry pi 0w as the receiver as well. The range needed is about 3000 feet minimum. Currently I have been looking at some rc and drone receivers that would work as well, but I...
  16. E

    B Volume of a solid at absolute zero

    How much does a typical solid shrink when cooled from room temperature to absolute zero. I can't solve this myself because the coefficient of linear thermal expansion varies with temperature
  17. Wrichik Basu

    Arduino and zero crossing — Non-uniform spikes in interrupt signal

    Here is my circuit for detecting zero crossing with Arduino (same circuit as this thread, but with the correction for the interrupt pin): Once again, I am using analogRead(A0) as an oscilloscope. The interrupts are detected fine, and my Interrupt Service Routine (ISR) is also being called...
  18. Wrichik Basu

    Interrupts in Arduino not working (for detecting zero crossing)

    In my previous thread, I learned about the H11AA1 optocoupler, which can be used instead of the 4N35 to detect zero crossings with Arduino. Arduino has a specific function for detecting interrupts: attachInterrupt(digitalPinToInterrupt(pin), ISR, mode) This function is supposed to be used...
  19. greg_rack

    B Find Local Max/Min: 2nd Derivative=0

    How do I distinguish between a point of local maxima or minima, when the second derivative in that point is equal to zero?
  20. Eclair_de_XII

    Is this a valid explanation of why ln() is unbounded near zero?

    So far, I found the derivative of ##f##: \begin{align*} \frac{d}{dx}\,f(x)&=&-\frac{d}{dx}\,\ln(-x)\\ &=&-\left(\frac{1}{(-x)}\right)(-1)\\ &=&-\frac{1}{x} \end{align*} ##f'(x)## is always positive and never zero on its domain. Hence, ##f## does not have a local maximum and is always...
  21. J

    Fundamental Forces: Placing charges along a line so that the net force is zero at a point

    So 0=q1q3/r+q2q3/(13.6-r) 0=-8.5/r-3.63/13.6+3.63/r 0.2669=3.63/r-8.5/r r=-18.2465, but the answer is supposed to be 8.24
  22. M

    I Separating particles in a zero point energy field

    From my understanding, quantum fluctuations create particle pairs that are usually annihilated. Is it possible to use some kind of force (eg: electromagnetism) to direct and separate antiparticles from normal particles? I believe experiments have proven that it is possible to store positrons...
  23. Wrichik Basu

    Zero crossing detector for Arduino using 4N35 optocoupler

    I am designing a zero crossing detector for Arduino using the 4N35 optocoupler. This is just a small part of a large project. I haven't bought the components yet, so do not ask me for readings. Everything is in the planning phase now. My input will be a 6-0-6 transformer (220V to 6V step down)...
  24. madafo3435

    Why is the field within a solid conducting material zero?

    .
  25. Z

    Electric Field Divergence of Monochromatic Plane Wave: Why is it Zero?

    Why is the divergence of an amplitude of an electric field of a monochromatic plane wave zero?
  26. cwill53

    Zero Force from 3 charges placed at the vertices of a Triangle

    I'm not really sure where to start with this problem, but I wanted to ask a few questions about the approach I should use. Is it reasonable to say that a gradient could be set up that could describe the force on the fourth ion at any point? The way I'm thinking of this problem is, I want to...
  27. jaketodd

    I Equation for Gravity Going to Zero at Finite Distance?

    Seeking an equation for gravity where gravitational force goes to zero at large distances I realize the Newtonian formula has trouble with this. And I've heard gravity never goes to zero in relativity. So, maybe a quantum gravity one, that isn't too complicated? Thanks!
  28. haushofer

    Rolling resistance when speed is zero

    Dear all, I have a very simple question. The rolling resistance (rr) of, say, a car, is defined as being proportional to the normal force/weight of an object. That seems reasonable: ##F_{rr} = C_{rr} \times F_N## The coefficient C_{rr} is a constant, depending on the materials. But now a...
  29. shintashi

    B What is the energy required to approach near absolute zero?

    I'm trying to understand if the amount of effort/energy required to get to absolute zero approaches infinity, or if its a linear thing... is there a point in which dropping near 0 kelvin changes from a 1:1 to an exponential curve? Is the whole thing a curve or is there a static point, like 1...
  30. E

    B Gradient of scalar field is zero everywhere given boundary conditions

    I'm struggling with a few steps of this argument. It's given that we have a surface ##S## bounding a volume ##V##, and a scalar field ##\phi## such that ##\nabla^2 \phi = 0## everywhere inside ##S##, and that ##\nabla \phi## is orthogonal to ##S## at all points on the surface. They say this is...
  31. danielhaish

    I Are there waves that go up and down without going below zero displacement?

    weave is change in something. and I always see harmonics wave that looks like this there is some normal value let's say the height of the water then the height of the water become higher then normal and then lower like that But do there are an harmonics waves in physics that just going up and...
  32. E

    Impedances for RLC circuits in the limit of zero frequency

    If a voltage source is sinusoidal, then we can introduce a phasor map and come up with equations like$$V_0 e^{i \omega t} = I(R + i\omega L + \frac{1}{\omega C} i)$$where ##I## would also differ from ##V## by a complex phase. But if you set ##\omega = 0##, which would appear to correspond to...
  33. Leo Liu

    A particle moving with zero radial acceleration in polar coordinates

    In the example above, the authors claim that when ##r=r_0e^{\beta t}##, the radial acceleration of the particle is 0. I don't quite understand it because they did not assume ##\beta=\pm \omega##. Can anyone please explain it to me? Many thanks.
  34. S

    What is zero error of a measuring instrument ?

    Is this correct? "The systematic error in a measuring instrument due to non-uniform or wrongly marked graduation due to which a measurement may be less or greater than actual measurement is called zero error of the measuring instrument". Another one: The measuring instruments are combination...
  35. Frigus

    Why is the net flux through a closed surface equal to zero?

    Suppose we have placed a cube in field which varies linearly with z axis so electric field magnitude on coordinates of face ABCD is clearly more than face EFGH and we know area of both faces are equal, So if we calculate flux then it would be non zero but it contradicts with the fact that...
  36. I

    A Predicting the positive parity and zero spin of the Higgs boson?

    Can we predict the positive parity, and zero spin of the Higgs boson from the decay mode: 𝐻 → 𝛾𝛾?
  37. P

    Case when the potential energy of the 1st excited state is zero

    I know how to solve this problem when the energy at ground state is zero but I don't know how to deal with 1st excited state energy as zero. According to me since the potential energy is zero therefore the kinetic energy must be 13.6eV according to conservation of energy. I also know that the...
  38. E

    Ambiguity when taking the Earth as a zero for electric potential

    When you ground something in electrostatics, the potential of that body becomes the potential of the Earth once equilibrium has been reached. In this context, it is usually taken that the Earth is at 0V. There are two possibilities for this. Either the constant of integration is chosen such that...
  39. P

    MATLAB How to calculate Bessel function of order zero?

    Hello everyone. I try to plot a figure from a journal article. I gave the equations in the inserted image. I wrote the script given below for that. I expect to obtain a plot like the one given on the left but I end up with something totally different. So, the values of ##I_{0}## and ##I_{1}##...
  40. E

    A How to understand when surface terms go to zero

    Hi all, I'm trying to understand when surface terms go to zero. I'm not really getting a connection other than many textbooks just saying surface terms go to zero. I have added a photo of Liboff's Kinetic Theory page 3 on Lagrange's equations. Before equation 1.7, he says the surface terms go...
  41. MathematicalPhysicist

    I Measure zero (a possible problem in the reasoning)

    I read the proof here: https://proofwiki.org/wiki/Measure_of_Empty_Set_is_Zero that the measure of the empty set is zero.
  42. jisbon

    Determine the points where the net magnetic field is zero

    Unsure about this, but here is my attempt: B from the first wire: ##\dfrac {\mu _{0}I}{2\pi r} ## B from the second wire: ##\dfrac {\mu _{0}I}{2\pi r} ## Let the point be (x,y) Can I state that: ##\dfrac {\mu _{0}I}{2\pi y}+\dfrac {\mu _{i}\left( I/3\right) }{2\pi x}=0## Hence the magnetic...
  43. A

    Where is this function larger then zero?

    I do not know how to proceed.
  44. A

    When is the flux through a coil from a bar magnet zero?

    Suppose I have a finite sized cylindrical bar magnet of radius $a$ and length $b$. It is coaxial with the $x$ axis and moving from $-\infty$ to $\infty.$ A circular closed wire of radius $r>a$ is in the $y-z$ plane with center at the origin. When the bar center of the bar magnet passes through...
  45. t2r

    Conservation of Energy: Why are Normal Forces Zero?

    Hello everyone, someone could explain me please, why the work of the normals forces are 0 ? He used with conservation energy equations. How should I refer to the displacement point ? Thx everyone !
  46. J

    I Is Zero Curvature Space Equivalent to Flat Space in General Relativity?

    In relativity, a flat space is always regraded to be endowed with an invariant metric field ##g_{\mu\nu}(x)= \eta_{\mu\nu}##, So in a flat space the corresponding connection ##\Gamma_{\mu\nu}^\rho(x)=0## It means that if we parallel transport a vector ##v^\nu(x_0)## in the space. Then it...
  47. S

    Location where the electric potential is zero between charges

    a) I take "a point where it is neutral" as the electric potential at that point is zero. Is this correct? And because the two charges are both negative, there can not be any point where V = 0? Am I wrong or maybe one of the charge should be positive? Thanks
  48. F

    Can Zero Divisors in Polynomial Rings Be Characterized?

    Proof: ##(\Leftarrow)## Suppose there exists non zero ##b \in R## such that ##bp(x) = 0##. Well, ##R \subset R[x]##, and so by definition of zero divisor, ##p(x)## is a zero divisor. (assuming ##p(x) \neq 0##). ##(\Rightarrow)## Suppose ##p(x)## is a zero divisor in ##R[x]##. Then we can choose...
  49. K

    I Why the integral of a complex exponential can't be equal to zero?

    I was just playing with the integral ##\int e^{ixa}dx## when I found something interesting. If you integrate from ##x = m2\pi/a## to ##x = n2\pi/a## where ##m## and ##n## are any two integers, the integral equals zero. On one hand, as we can in principle choose whatever values we like for ##m##...
  50. B

    Work done to reach the point where the gravitational potential is zero

    Hi there I have been attempting the parts to this question and I'm finding some trouble on how to answer the last part which is d)iii Here is what I have done for the rest of the parts and what I think I should start off with in part d)iii Thanks!
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