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# What Is Circular Breathing and Why Does a Person Do It?

Circular Breathing - Whys and Hows and Why Nots

1. do pet jellyfish really need circular tanks ?

a cilender tank yes

2. Why are my circular saw cuts curving?

=== you are right ----- it is a natural thing for the cuts to curve to the left as you are holding the saw in your right hand === if I were doing that job it would be best to go and rent a circular saw that is 7 or 8 inches or rent a table saw of 10inches so that you can get some true straight cuts .... the 5&1/2 blade is just too small to give you the results that you seek .... that small blade will always pull ... that little saw was designed to do finish work for cabinetry or mop board and NOT to be used CUTTING . . 2 X 4 inch treated wood . ... sorry but in my opinion you have the wrong tool for this job

3. Circular clockwise graph drawing

Just for comparison, here is k33 in Metapost, first in the conventional layout, then in a circular layout. In MP there is no special syntax for graphs: once you have mastered defining points, drawing lines, filling paths, and the syntax for loops you can draw more or less anything using the same small set of syntax. Of course, if you want to, you can define your own macros to draw graphs. This is wrapped up in luamplib so compile with lualatex. Or adapt for pdflatex with gmp, or for plain MP

4. Circular orbits of ODE System

From the given ODEs one immediately reads off \$\$(r^2)^cdot=(x^2y^2)^cdot=2(xdot xydot y)equiv0 .\$\$

5. True Anomaly of Circular Orbit

For your own calculations, whenever you have a case of zero (or very small) eccentricity you may need to handle them differently and just choose an arbitrary argument of periapsis, perhaps zero. What does "very small" eccentricity mean for you? Small enough so that it does not make a difference (your orbit does not deviate from a circle by more than your acceptable error) or so small that it causes other numerical issues. Then just use \$==2/\$Fig. 1: Diagram of orbital elements, including the argument of periapsis ().

6. How to test electromagnetism avoiding circular reasoning?

I simply love the story of Hertz's verification of Maxwell's equations because it contains the most awesome faulty prediction about the future ever:He had just discovered radio.Anyway... Hertz's experimental setup was as follows:It is described in further details here

7. Why is the Bohr's idea of defined circular orbits overruled?

In Bohr's theory the smallest possible orbital angular momentum is \$hbar\$. The measured value is \$0\$. On the other hand the picture developed by solving the (time independent) Schdinger equation reproduces the energy levels from Bohr's model and gets the minimum angular momentum and the angular momentum step size right (it also fives you the quantization of the projections of the angular momentum). Add Pauli exclusion to the Schrodinger picture and you can get the shell filling rules and explain why the periodic table has the structure that it does which is another thing that Bohr's atom could not do correctly. Bohr is out because it makes incorrect prediction

8. Sources of error for circular motion/centripetal force lab?

The error related to the stopwatch "not calibrated correctly" is so small it can be NEGLECTED. Human reaction time (staring and stopping the stopwatch) is a source of much larger error. To minimize this error we measure the time of 10 (or more) revolutions. The largest error is related to the measurements of the radius of circular motion (it is NOT related to the calibration of the meter stick) A good, guided class discussion of the sources of errors is a very important part of every lab activity especially when sources of errors are not very intuitive.

9. What is this type of circular-link visualization called?

I would just add:As you point out, Flare has the dependency graph, which Aleks Jakulin argued was similar but better. This was based originally on the "Hierarchical Edge Bundles: Visualization of Adjacency Relations in Hierarchical Data" (Holden 2006). I personally prefer to use Protovis to Flare directly, and you can look at Mike Bostock's example of the same graphic. Here is also an example of an Arc Diagram in Protovis, which is very similar but laid out linearly.

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