If the photon field travels at the speed of light then how quickly do the W and Z boson fields, fields with massive bosons, travel? The speed will be some number less than c. Can the speed be expressed in terms of their masses M_W and M_Z? I am trying to figure it out by using the electroweak lagrangian and looking for plane wave solutions.

@RyanParikh Uh, if they're massive particles do they not just travel at some velocity in $[0,c)$?

Their momentum will be related to their mass by $p^2=E^2-m^2$

Assuming it's just a free particle, I'm not even sure if they exist as free particles but they might do

What exactly are invariant hyperbola in $\Bbb R^{1,1}$?

@Charlie So it would vary based on the energy of the field? I was thinking it would be different since I am not treating it as a particle but idk. Really I just wanted an excuse to play with the equations of motion from the electroweak lagrangian.

@geocalc33 would they not just be $x^2 - (ct)^2 = 1$?

@NiharKarve Gravity and Equivalence principle alters things

@ACuriousMind LMAO! hehehehehehehehehe

Hi @RewCie, are you into CNNs?

if so, I have a challenge

@NiharKarve I'm into CNNs, but I'm a bit busy with other projects...

@RewCie no prob, but I'll tell you anyway: design the shortest 4d convolutional forward pass algorithm you can - it takes in the data tensor, filter tensor and strides, and outputs the convolved tensor. You can only use numpy and scipy at the max.

Not code golfed into one statement or anything - least number of loops/function calls, etc.

I don't use TF, Numpy Libs, I code them in C...

Using a library?

I can use a library if I need, but I hate using them. Most of the time, it's scratch.

numpy will be an order of magnitude faster than a hand-written implementation in C though

Whole of Python is high level and can never be faster than low level lang like C, JAVA, Pascal50

Can anyone judge the type of flow here i mean streamline or turbulent

@PrateekMourya streamline

Siphons should operate in Streamline flow

@RewCie I mean, only if you use something like BLAS or LAPACK from C, which is what NumPy links to anyway. If you're implementing LinAlg routines by hand, you very likely won't be able to beat NumPy

I already said, I won't be using anything more than Image Processing Libs in C, Numpy is something far away, I know, I've used it before.

Also, I've an habit of going back to assembly, I'm addcted to it. It's fast af!

@PrateekMourya the flow looks reasonably smooth, but there is probably turbulent flow near the walls of the pipe. It's hard to get laminar flow with taking a lot of care.

And I bet there is turbulence at the corners.

How do they convert streamline flow to turbulent back again?

Hi guys... Hi @JohnRennie sir

I can not upload pictures until I have 100reputations. How to increase reputation.

@SrijanSuryansh hi, welcome to the chat room :-)

thanks
Let me introduce my self I'm a 17 year old teen just love to learn anything from any subject exception with biology
I'd tried to talk on big things butt eventually due to lack of knowledge I cant express it intuitively.
I also run a channel on youtube and post about few random subjects.
youtu.be/WIra1B31lgA

cool

How it is different in complex number. Pls explain

|z_1| - |z_2| <= | |z_1| - |z_2| |

How both sides of equality is different?

Suppose z₁ = 0 and z₂ = 1. Then |z₁| - |z₂| = 0 - 1 = -1 while ||z₁| - |z₂|| = |-1| = +1.

Did you mean |z₁| - |z₂| <= ||z₁| - |z₂|| or |z₁| - |z₂| <= |z₁ - z₂| ?

Hi, I have a problem with derivatives, appearing from thermodynamics. At some point I take the divergence of some vector field and a gradient of S appears, S is a scalar valued function that can depend on x, T, P, etc

I am wondering how to evaluate $\nabla S$. Is the gradient like a total derivative here? or simply the derivative with respect to position?

by total derivative, I mean, it would be a sum of partial derivatives of S with respect to all variables

for example if S depends on x and T. is grad(S) =dS/dx)_T + dS/dT)_x ? or just dS/dx)_T ?

Is asking for a reference to an experiment a resource recommendation question, or a specific reference question?

I want to know if any experiments have been conducted on quantum logic, and if quantum logic makes any predictions which differ or extend regular quantum mechanics. Since this is a particular aspect of rather small field of study, I am learning toward the specific reference tag, but I'm aware that the number of correct answers will likely grow with time as more experiments are conducted over the years. (This points toward using the resource recommendation tag instead).

I'm going to bed now, but please ping me if you have a suggestion to how I should tag my question, so I can read it tomorrow (its not lost in the chat) if one arrives.

@user400188 I'd say specific-reference fits the bill a bit better

don't worry about choosing incorrect tags

if they need to be changed then the question will be retagged and that's it

but I can answer some of your questions here

> whether quantum logic makes any predictions which differ or extend regular quantum mechanics

quantum logic is a strict subset of quantum mechanics

> if any experiments have been conducted on quantum logic

what does "conduct experiments on logic" mean?

Thanks a lot @JohnRennie

Is there any limit to angular velocity?

Probably just the speed of light no?

Does Einstein contradict with his own statement related to expansion of universe

Can anybody tell me why?

Can you post the statement and contradiction?

@Charlie specifically no. of rotations per second

@SrijanSuryansh Try reading here

thanks @Charlie

@Charlie And nobody has corrected that terrible "100m at 300K rad/s" yet?

@JackRod No, Einstein made the Field Equation without kappa term. The expansion was observed lateron, that's why correction kappa term was added later

$\kappa g_{\mu\nu}$

MathJAX doesn't supports capital kappa

$\Lambda$

Okay, my fault, it's capital Lambda, not kappa

$\Lambda g_{\mu\nu}$

^that term

anyways you get my point, that's enough

Yo..

yo

why i see math jax code only?

Look in the top right to find the mathjax plugin

where?

@Charlie its tedious

@SrijanSuryansh do you use Chrome?

yes

@RewCie A capital kappa is just a K.

TeX only has commands for the Greek letters that differ from the Latin alphabet

@SrijanSuryansh then use this addon for Chrome

Oh okay...

Once you've installed it MathJax renders automatically without you having to do anything.

@SrijanSuryansh yes :-) I use that add-on and it saves a lot of hassling installing scripts.

@JohnRennie its working

:-)

Hello people!

What pre requisites do i need before starting Lagrangian mechanics?

@JohnRennie What is it called when a plasma channel is manipulated to form letters and numbers? And what is it called when that plasma channel is controlled?

@JohnRennie I ask these questions because I attempted and succeeded in controlling plasma in mid air by manipulating the preferred path for the plasma channel using lower and higher pressure in any given space in air. It wasn't in a chamber it was simply in air and not done in a chamber.

@satan29 decent knowledge of Newtonian mechanics and multivariable calculus

that's about it