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. A

    MHB Finding the zero vector of a sinusoidal set

    Hi everyone, Thank you in advance for taking the time to read my question and for your help. I really appreciate it. The question is set out as follows: Given the set 𝑆 = {𝑎 sin (𝑥+𝑏) | 𝑎, 𝑏 E R}. The addition of elements 𝒔1, 𝒔2 ∈ 𝑆 is defined as follows: 𝒔1 +𝒔2 =𝑎1 sin (𝑥+𝑏1)+𝑎2 sin...
  2. gracy

    Resultant of Forces Can Equal Zero: 1,2,3,4?

    Homework Statement Resultant of which of a following may be equal to zero? 1)10 N, 10 N , 10N 2) 10 N, 10 N , 25 N 3) 10 N, 10 N , 35N 4)None of these More than one option can be correct. Homework Equations Addition of vectors The Attempt at a Solution 1) Resultant of these three forces can...
  3. T

    I How Do Large Cardinals Influence the Definition of Zero Sharp?

    https://en.wikipedia.org/wiki/Zero_sharp Here: I don't understand how large cardinals are related to this. 0# is countable, just set of integers, why do we need "extra constant symbols"? Obviously, set of Goedel numbers of all true formula "exists" (in human sense) anyway (no matter if...
  4. Amrator

    Zero B Field Inside within Hollow Wire

    Homework Statement A long, thin wire carrying constant current I1 = 2 A into the page is surrounded by a concentric cylindrical hollow wire of inner radius a = 0.12 m, and outer radius b= 0.26 m, carrying total current I2 = 4 A directed out of the page, as shown. Assume the current in the...
  5. munirah

    How can I do when I make a Log2 towards zero?

    Good day, Homework Statement I want to make a measurement on qubit by using formula von Neumann entropy using Mathematica given as below; Homework Equations (ρ)=−Tr(ρlog2ρ) The Attempt at a Solution The ρ={{0.5,0},{0,0.5}}My problem is, when I make the log2{{0.5,0},{0,0.5}} I get the...
  6. J

    Understanding Kirchhoff's Laws: Exploring the Concept of Zero Current

    Homework Statement Homework Equations Kirchhoff's laws and I = V/R The Attempt at a Solution I asked a question recently about a Kirchhoff's law problem and I received a lot of great help and I feel I better understand it. Or so I thought. This is my attempt at the problem. I don't...
  7. G

    I Why are total orbital QN l,m zero for closed subshell?

    Hello. Here, I'm asking why total orbital quantum number l and total magnetic quantum number m are zero for closed subshell in atom. Let me review the addition of angular momentum first: Each electron has its own orbital quantum number li and magnetic quantum number mi. Then for two electrons...
  8. DCN

    Residue Theorem with real zero

    Homework Statement Find \int_{0}^{\infty} \frac{\cos(\pi x)}{1-4x^2} dx Homework Equations The residue theorem The Attempt at a Solution The residue of this function at $$x=\pm\frac{1}{2}$$ is zero. Therefore shouldn't the integral be zero, if you take a closed path as a hemisphere in the...
  9. M

    MHB Solving y' and y'' for y=1/x²: How to Equal Zero?

    if y=1/x² show that y d²y/dx² +(dy/dx)² -10y³=0 i can work out y′=-2x^-3 and y″=6x^-4 but when i sub these in i can't make the whole expression equal zero
  10. Clever Penguin

    B Why is k not smaller than zero?

    Question: The equation kx2+kx+3-k = 0, where k is a constant, has no real roots a) Show that 5k2-12k < 0 b) Find the set of possible values of k Solution attempted: a) For no real roots, b2-4ac < 0 a = k b = k c = 3 - k k2 - 4k(3 - k) < 0 k2 -12k + 4k2 < 0 5k2 - 12k < 0 Hence shown b) 5k2...
  11. Oganesson

    I What happens to Quantum decoherence at Absolute Zero?

    .
  12. S

    Can the work in a isochoric process be non zero?

    I came up with a doubt regarding isochoric irreversible processes. Is it always true that, for any isochoric process, reversible or not, the work exchanged by the system is zero and the heat exchanged is ##Q=\Delta U##? I'm asking this because, in a exercise on thermodynamics trasformations of...
  13. D

    B Superposition at absolute zero

    I googled a bit about this and managed to find this http://arxiv.org/abs/quant-ph/0505056 http://physics.bu.edu/~mohanty/physica-decoherence.pdf Since I can't make much out of them, maybe except this interesting phrase in the first one "First of all it is intriguing that even at absolute zero...
  14. Biker

    Voltage change when resistance is zero

    Homework Statement Consider having a battery, its voltage let's say 20 volts. If you connect this battery to a wire. Its resistance is zero. If you precisely measure the voltage at the end of the wire, Would it equal 20 volts or no? Homework Equations dV = I R The Attempt at a Solution Well...
  15. P

    Electrostatic Potential: Value at zero distance from charge

    Formula for Electrostatic Potential due to a point charge is V=1/4π∈ Q1 Q2/r This implies that at r=0 value of the potential should be infinity. Is it True. If that is the case then how we say the terminals of a battery having positive and negative charge are having definite value of...
  16. B

    Prove 3x3 Skew symmetric matrix determinant is equal to zero

    Homework Statement Hi there, I'm happy with the proof that any odd ordered matrix's determinant is equal to zero. However, I am failing to see how it can be done specifically for a 3x3 matrix using only row and column interchanging. Homework Equations I have attached the determinant as an...
  17. haushofer

    Entropy: second law for systems with zero input net energy

    Dear all, I'm trying to think about applying the second law of thermodynamics to a system which is not isolated, but has an energy flowing inwards and an equal (!) energy flowing outwards, such that the total energy does not change (total energy flux is zero). Can we still apply the second law...
  18. Z

    B Zero degrees longitude on other planets

    Does anyone know if there is any internationally agreed method for determining where zero degrees longitude is when mapping other planets etc.?
  19. P

    I What is the opposite of epsilon

    Is there a notation for the opposite of epsilon (infinitesimal) in the way that infinity is the opposite of zero?
  20. H

    I Use Rolle's theorem to show repeated root has zero gradient

    Is this an abuse of Rolle's theorem? Rolle's theorem If a real-valued function f is continuous on a proper closed interval [a, b], differentiable on the open interval (a, b), and f(a) = f(b), then there exists at least one c in the open interval (a, b) such that f'(c) = 0. ##[x_1, x_1]##...
  21. 5

    Help with finding Zeros of a polynomial with 1+i as a zero

    Homework Statement p(x) = x^3 − x^2 + ax + b is a real polynomial with 1 + i as a zero, find a and b and find all of the real zeros of p(x).The Attempt at a Solution [/B] 1-i is also a zero as it is the conjugate of 1+i so (x-(1+i))(x-(1-i))=x^2-2x+2 let X^3-x^2+ax+b=x^2-2x+2(ax+d)...
  22. E

    I Double heterostructure junction in forward and zero bias

    Hi! When dealing with a pn homojunction, it is easy to see the features it has at equilibrium, and also the features it has with forward/reverse bias. Plots show the constant Fermi level at equilibrium and the different Fermi levels for a forward bias; moreover, examples show how much the bands...
  23. G

    I Would any physical event happen at absolute zero?

    For example if we could bring a radioactive atom to absolute zero, would it still be subject to the random radioactive decay? Or would absolute zero inhibit the normal half-life decay of the element? Perhaps in other words, would absolute zero inhibit the elapsing of time?
  24. R

    Understanding Eigenvalues and Eigenvectors: Exploring a Matrix Transformation

    Homework Statement \frac{d\vec{Y}}{dt} = \begin{bmatrix} 2 & 4 \\ 3 & 6 \end{bmatrix} \vec{Y} Find the eigenvalues and eigenvectors Homework EquationsThe Attempt at a Solution I found the eigenvectors to be \vec{v_1} = \begin{bmatrix} 2 \\ 1 \end{bmatrix} , \vec{v_2} = \begin{bmatrix} 2...
  25. kelvin490

    MATLAB How to set zero value boxes transparent in 3D plots?

    I used a function called ind2patch to make a big 3D block which contains a number of smaller blocks in 3 dimensions. Each small block has a value which the magnitude is represented by a color.One example is shown below: However, most of the boxes have very low or zero value and I don't need to...
  26. J

    What is the group refractive index for a monochromatic wave in a laser cavity?

    Homework Statement .[/B] I am attempting to determine the group refractive index of a laser cavity at it's resonance frequency. Homework Equations .[/B] \begin{align*} \frac{2\omega n L}{c} &= 2m\pi \end{align*} \begin{align*} n_g &= n + \omega \frac{dn}{d\omega} \end{align*} 3. The attempt...
  27. K

    Zero phase shift Op-Amp bandpass filter design

    Homework Statement "design a band pass circuit having a midband gain of 20 dB with -3 dB frequencies at 20 Hz and 20 KHz the amplifier should not produce any phase shift." does midband gain strictly apply to voltage gain (because that's how i look at it)? I was going to use a common collector...
  28. UMath1

    Work in moving through zero potential difference

    If I were to move a positive charge from infinity to a location between two positive charges where the net electric field is zero, the electric field would do zero work because there is no potential difference right? I am confused about why this is though. As you move the charge from infinity...
  29. F

    I Sum of internal forces equals zero

    This is probably a very trivial question, but my brain isn't "playing ball" today so I'm hoping someone can help me with this. Suppose I have a system of ##N## mutually interacting particles, then the force on the ##i##-th particle due to the other ##N-1## particles is given by...
  30. alaa amed

    Why would his weight be zero at the moment of the fall?

    Homework Statement A person of weight w is in an upward-moving elevator when the cable suddenly breaks. What is the person's apparent weight immediately after the elevator starts to fall?
  31. C

    How is V1 deduced to be zero in the last step here?

    Homework Statement A billiard ball moving at 2 m/s collides (0 degrees) with another of the same weight and at rest, in a perfectly elastic collision. Demonstrate with equations why the balls trade velocities. Homework EquationsThe Attempt at a Solution In the provided explanation, I can...
  32. B

    Calculating time of zero g (Glider)

    Homework Statement [/B] Finding equation allowing to calculate time of zero-g (weightlessness) in a parabolic flight using non-powered glider (no thrust). Homework Equations [/B] I have found a few ways to calculate the time (here is one example which is basing on aircraft's velocity only -...
  33. D

    I Proving Zero is Positive or Negative

    Good morning, How do we prove that the number zero is a negative or positive number?
  34. A

    B Why Absolute Zero is Independent of Substance Properties

    Why absolute zero of temperature doesn't depend upon properties of substance?
  35. V

    Why do short circuits have zero voltage?

    I've searched around and all I can find are people quoting the equations. I see it in the math, but it seems contradictory. Here is my line of thought: 1. A source maintains a voltage difference across its terminals. 2. The difference in voltage causes charge to flow from higher to lower...
  36. Alltimegreat1

    Bubble of water in zero gravity

    What if you were in a spaceship in outer space and had a sphere filled with water and some fish in it and then carefully removed the shell, leaving behind only a bubble of water. Would the water hold together and could the fish would swim outside the bubble and suffocate?
  37. ltkach2015

    Why Time Response Characteristics Derived from Zero State Equation

    QUESTION: 1) Why are Time Response Characteristic's Expressions derived from only from Zero State Equations? NOTE: Nise Control Systems Engineering 6ed uses step inputs to derive Time Response Characteristics for 1st and 2nd order ordinary differential equations...
  38. W

    What Determines the Values of Legendre Polynomials at Zero?

    Homework Statement Using the Generating function for Legendre polynomials, show that: ##P_n(0)=\begin{cases}0 & n \ is \ odd\\\frac{(-1)^n (2n)!}{2^{2n} (n!)^2} & n \ is \ even\end{cases}## Homework Equations Generating function: ##(1-2xt+t^2)^{-1/2}=\displaystyle\sum\limits_{n=0}^\infty...
  39. C

    MHB Zero Divisor Help: Prove & Example

    Came across this problem while reading and I can't understand what it wants. I've tried solving for units to get zero divisors but that doesn't work. It's not the end of the world if I can't figure it out, it's just bothering me because I'm confused. Here's the problem: Let $R$ and $S$ be...
  40. Elnur Hajiyev

    A Can geodesic deviation be zero while curvature tensor is not

    I understand(or assume understand) that geodesic deviation describes how much parallel geodesics diverge/converge on manifolds while moving along these geodesic. But is not it a definition for intrinsic curvature? If it is same as Riemann curvature tensor in terms of describing curvature, why...
  41. B

    I Does X times 0 always equal 0 or are there exceptions?

    Not sure if the correct term is indefinite or undefined... I mean something like an infinite series that does not sum to a particular value, like this: X = 1 - 1 + 1 - 1 + 1 - 1 + 1... where pending the placement of parentheses one can infer multiple answers for X So, is it proper to say X...
  42. M

    B Zero eigenvalue and null space

    Suppose ##T## is an operator in a finite dimensional complex vector space and it has a zero eigenvalue. If ##v## is the corresponding eigenvector, then $$ Tv=0v=0 $$ Does it mean then that ##\textrm{null }T## consists of all eigenvectors with the zero eigenvalue? What if ##T## does not have zero...
  43. Geek007

    A Average amplitude of signal is zero, why?

    hi there, Why does we need to have a signal which always has the average amplitude of zero. i read some where that it would be inefficient for over transmission medium to carry a signal which have amplitude great than zero. Why?
  44. RJLiberator

    Units / Zero divisors in Comm Ring

    Homework Statement Let F(ℝ) = {ƒ:ℝ->ℝ} define (f+g)(x) = f(x)+g(x) (f*g)(x) = f(x)*g(x) F(ℝ) is a commutative ring. ƒ_0(x) = 0 and ƒ_1(x) = 1 a) Describe all units and zero divisors b) Find a function f such that ƒ≠ƒ_0, ƒ≠ƒ_1, and ƒ^2 = ƒ Homework Equations A unit is an element r ∈ R, which...
  45. anemone

    MHB Inequality challenge for all positive (but not zero) real a, b and c

    Prove \frac{ab}{a+b+ab}+\frac{bc}{b+c+bc}+\frac{ca}{c+a+ca}\le \frac{a^2+b^2+c^2+6}{9} for all positive real $a,\,b$ and $c$ and $a,\,b,\,c\ne 0$.
  46. H

    Why generalized force equals to zero?

    Homework Statement Lecturer says that: Generalized Coordinate: θ = q1 Generalized Force: Q1 = 0 I don't understand why Q1 equals to zero. Homework Equations Q_i = \sum_j \underline F_j \frac{\delta \underline r_j}{\delta q_i} The Attempt at a Solution First i need to find partial...
  47. H

    Infinity times zero, rotational symmetry

    To show that the Lagrangian ##L## is invariant under a rotation of ##\theta##, it is common practice to show that it is invariant under a rotation of ##\delta\theta##, an infinitesimal angle, and then use the fact that a rotation of ##\theta## is a composite of many rotations of...
  48. F

    B Can an object in every frame of reference have zero velocity?

    If I am sitting, not moving, my velocity can be zero along with my acceleration but in truth the Earth is moving along with the solar system and so on but i want to know theoretically if a massless object in space can have zero velocity and zero acceleration, in essence what i am askimg is can...
  49. O

    Irreversible adiabatic process - is the entropy change zero?

    Homework Statement A well insulated container consists of two equal volumes separated by a partition - one half an ideal gas while the other is a vacuum. The partition is removed, and the gas expands. What is the entropy change per mole? Homework Equations dS = dQrev/T S/R = Cp/R dT/T -...
  50. F

    Why is microgravity experienced on the ISS despite the presence of gravity?

    Hello Forum, It is said that astronauts on the International Space Station (ISS) experience microgravity and not complete zero gravity. The acceleration of gravity at the ISS altitude is still pretty significant (~8.7 m/s^2), far from zero. However the free fall motion of the ISS and its...
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