\(A_1 A_2\) - radius ball

\(A_1A_7A_8\) - circular arc

\(A_1A_9A_{10}\) - circular arc three times higher than \(A_1A_7A_8\) \(A_1A_7A_8=A_1A_9A_{11}=A_1A_{11}A_{12}=A_1A_{12}A_{10}\)

\(A_1A_2A_5\) - circular arc

\(A_1A_2A_3=A_1A_3A_4=A_1A_4A_5\) , points \(A_2 , A_3 , A_4 , A_5\) on the best circle the ball (or sphere)

\(A_1A_6A_2=A_1A_6A_3=A_1A_6A_4=A_1A_6A_5\) - circular arcs , are circular arcs...

misli]]>

Talked with my wife's nephew about it. He validated that it is one of the stranger things about the micro universe, where macro perceptions just don't work well. Will we ever fully crack...

Observation and Reality]]>

A plane flying straight ahead through the air doesn't have to account for local topography by moving up and down like you on the surface have to.

This is because:

* gravity smooths out the plane's local frame of reference;

* the atmosphere smooths out the plane's local frame of reference;

* it's for the same reason you don't have to...

What's gravity good for?]]>

Translated by Warren R Giordano

Academia.edu : https://independent.academia.edu/GortholAdanedhel

Time comes back in all areas: mathematics, physics, philosophy, in our everyday life etc ... But as soon as we try to define it, we arrive at problems. Is there time? The problem of time contrary to the coordinates of space-time is that it escapes all our senses. Now, the axioms of mathematics and the physical...

The Time - Academia.edu]]>

That number is, rather famously, n! (say "n factorial"). And we have a number of ways to write it.

\(\textrm{card} \, S_n \equiv \textrm{card} \, \left\{ f \, | \, f : \textrm{ordinal}_n \xrightarrow[\textrm{onto}]{\textrm{1-to-1}} \textrm{ordinal}_n \right\} \\ n! \equiv \prod_{k=1}^{n} k \\ \Gamma ( n + 1 ) \equiv...\)

Counting Arrangements and Derangements]]>

Double slit experiment]]>

I've posted this image which I've described as a

"

Trispokedovetile tessellation by Peter Dow, on...

Geometry. Three-spoke dovetailing tile tessellation. "Trispokedovetile"?]]>

What follows is my intuitive understanding of gauge theories, though I do have a lot of the relevant geometric mathematics to hand if it would interest anyone - from a purely mathematical viewpoint it is quite nice.

So, a physical theory is said to be gauge invariant - loosely a gauge theory - if it takes the same form under local continuous symmetry transformations. Since continuous symmetry transformations are given by some Lie group \(G\) - presumably specific to the...

Gauge fixing?]]>

Here's some sample data:

Code:

Time Start End 1:00 66.7° 116.4° 1:30 69.1° 136.9° 2:00 72.0° 153.7° 2:30 70.0° 168.2° 3:00 66.7° 179.5°

The equation needs to have a horizontal asymptote at about 212°.]]>

Suppose an initially fully charged battery supplies the motor, a similar but initially depleted battery being charged up by the generator. Each battery adjacent to the respective motor, generator. Energy E thus a mass equivalent E/c^2 ends up being transferred from one location to another. But assuming the entire system is isolated,...

Linear momentum conservation puzzle]]>

So then, the physical equation incorporating speed, distance and time(s):

speed=distance/time(s)

distance=speed*time(s)

time(s)=speed/distance

Running numbers from one to one hundred (times) discovers:

1/1

2/1,2/2

3/1,3/2,3/3...

To produce a graph these values must be multiplied by one hundred i.e.

(1/1)*100

(2/1)*100,(2/2)*100

(3/1)*100,(3/2)*100,(3/3)*100

Put simply the equation is:

(((100-x)/100)*x)

This may be confirmed on excel and produces a curvature:

Enter Macros

"for...

Midday?]]>

Displays as:

\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

I wonder if someone who is good at LaTex could write a short tutorial of the basics, with some common SciForums examples? I'll write one up myself, but I'm a complete beginner at LaTex so it will take a little while.

In the meantime,...

Displaying equations using Tex]]>

They cite that If you deposit 10k you get 0.79 every day. What are the actual effective yearly benefits in %? Is it 3%? More? Less?

Thank you ]]>

Today only (30 November 2016), you can contribute to a test to see whether quantum mechanics is truly incompatible with local realism.

This is being done by testing Bell's theorem using human-generated random data from the internet.

To participate, and to find out more about this, go here:

thebigbelltest.org]]>

Is it more than IR that contributes to "warming"?]]>

"Of the many counterintuitive features of quantum mechanics, perhaps the most challenging to our notions of common sense is that particles do not have locations until they are observed. This is exactly what the standard view of quantum mechanics, often called the...

The return of Bohm's pilot wave theory]]>

https://goo.gl/Lkv4s5]]>