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Trending Discussions on Archimedes
QUESTION
I've reached a wall in publishing my paper due to the issue of two platonic solids I'm coding for their SA:V: The cube and octahedron.
Normally, when one derivates the SA:V ratio for a cube and octahedron, it will come out to 6/a and (3*sqrt(6))/a, respectively.
When you take those ratios as a ratio, you get a constant non 1:1 ratio for all size regimes so, how is my output a 1:1 relationship?
Output (click link):
Relevant code for both shapes in all instances for user request, tabulation, and graphing (ignore icosahedron code): First Instance:
...ANSWER
Answered 2021-Apr-22 at 03:12You are calculating "Surface Area to Volume Ratio of Platonic Polyhedra Against Referential Sphere for Given Diameter" [boldface added]
So before you compare the cube to the octahedron, you compare the cube to the sphere of the cube's diameter, and the octahedron to the sphere of the octahedron's diameter.
(I presume this means circumscribed spheres; I'm not going to check inscribed spheres.)
The SA/V ratio of a sphere is 6/d, where d is the diameter.
The maximum diameter of a cube of edge-length a is sqrt(3)a, so the cube/sphere ratio is (6/a)/(6/(sqrt(3)a)) = sqrt(3)
The maximum diameter of an octahedron of edge-length a is sqrt(2)a, so the octahedron/sphere ratio is (3sqrt(6)/a)/(6/(sqrt(2)a)) = sqrt(3)
So the ratio comes out to 1:1, due to the comparison to spheres.
QUESTION
I have looked for a solution for this problem for hours and looked through a lot of posts on this site as well, but I could not find a solution. I'm using python 3.9.2
...ANSWER
Answered 2021-Mar-18 at 02:26The problem is with file encoding in your environment. \u2009 is the unicode symbol for thin space as shown below:
QUESTION
Can u explain me how to use SC with custom attr name?
This code does not work and i dont understand why.
I expect to receive like this
ANSWER
Answered 2021-Feb-05 at 17:40I am not really sure what you are trying to achieve since you don't utilize the prop inside the styled-component styles, but usually I write something like this:
QUESTION
I want to set different component on a same React route based on user roles.
Here's what I did.
...ANSWER
Answered 2021-Jan-31 at 09:27There is no need to use Switch
in AppRouter
component unless it has "nested" routes. Also, no need to define /login
route more than once.
QUESTION
I know I'm close to figuring this out but I've been wracking my brain and can't think of what's going wrong here. I need to count the number of vowels in the array of nameList
using the vowelList
array, and currently it's outputting 22, which is not the correct number of vowels.
Incidentally, 22 is double the length of the array nameList, but I can't see any reason what I wrote would be outputting double the array length. Any help would be appreciated. Not looking for the answer, for a nudge in the right direction.
...ANSWER
Answered 2020-Oct-17 at 00:12You're thinking about this too hard. Relax and let Python do the work:
QUESTION
I'm trying to understand how the Context API works together with React hooks (specifically useEffect
and useReducer
).
I am unsure as to why one of my components (ContactListPage
) seems to be rendering twice.
A minimal example to demonstrate:
index.js
...ANSWER
Answered 2020-Sep-20 at 17:06It is because your component is mounting again when you change your route. So when you go from contact list
to add contact
:
Your reducer already set it to name:bob
And now again when your come back to your component list
component. Two things is happening component is rendering because of useContext
inital state(hooks also cause rerendering) and another one is causing because of your useEffect
i.e you are dispatching your FETCH_CONTACTS
when component is mounted.
If you see console on first load:
QUESTION
I would like to draw Archimedes spiral https://en.m.wikipedia.org/wiki/Archimedean_spiral with inter loop gap of 6mm and total diameter 30mm. This is the size it should have when I print it. My MWE (from Rosetta Stone) is:
...ANSWER
Answered 2020-Aug-08 at 21:49this isn't actually anything about the code, it's just the math to make it work out nicely.
The constant out front (1 + 5*t
in your code) corresponds to how far out it moves every radian, so to increase by 6mm
every 2*pi
radians you would set that constant to 6/(2*pi) * t
so it'd look something like:
QUESTION
pi has been calculated to 31.4 trillion bits(https://cloud.google.com/blog/products/compute/calculating-31-4-trillion-digits-of-archimedes-constant-on-google-cloud). I want to store this data in a database or hard disk, and then query and use it. I hope that the query time will be within 10 seconds. What solution should I use?
If a table stores 5 million rows of data, each row of data stores 500 numbers, and a table can store 2.5 billion digits, a total of 12,000 tables are needed.
And a table requires 1182.8 GB of storage space, all of which require 13.5 PB of storage space, so the query will be very slow.
[update]
I want to use python
I want to query all occurrences of a string of numbers in pi
If 10 seconds is not possible, it is acceptable to get the result within one minute
ANSWER
Answered 2020-Aug-01 at 22:58That's digits, not bits.
31.4 trillion digits, stored in a simple way would take 31.4 TB (TB = trillion bytes) of disk space.
Compress it, and you can squeeze it into about 10TB, but no tighter. "Information theory" says that's the limit."
No disk, not even SSD or the fastest flash drive can load even 1TB into RAM in 10 seconds. If you wanted all 31.4TB in RAM, I don't think you can build a machine with anywhere near that much RAM.
There is some overhead when putting data into a database. 2x-3x is a typical number. So 31.4TB might become 90TB of disk. Or 30TB compressed. Less than a Petabyte.
If you want to load it in pieces, we can discuss further. I might suggest an uncompressed text file if you can figure out how to get a disk that holds that much. Then use fopen, fseek, read to fetch an arbitrary chunk. Any chunk would have very low overhead to "seek", then a "read" time proportional to the number of bytes being read.
What computer languages do you program in?
More importantly, what will you do with the data?
QUESTION
I was trying to plot spiral of the Archimedes:
...ANSWER
Answered 2020-May-18 at 14:00t = linspace(0,5*pi,1000);
a =1;
r = a.*t;
line_handle = polarplot(t,r); % Get line handle
Ax = line_handle.Parent; % Get its parent, i.e. polar axes
grid off;
Ax.ThetaGrid = 'off';
Ax.RGrid = 'off';
Ax.RTickLabel = [];
Ax.ThetaTickLabel = [];
QUESTION
I'm learning Python (for fun) through the book ThinkPython. So far I'm really enjoying this new hobby. One of the recent exercise was crafting a Archimedes spiral.In order to test my skills I've been working on making a hyperbolic spiral but have been stumped!
according to the equation r=a+b*theta^(1/c)
- when c=1 we see a Archimedes spiral
- when c=-1 we should see a hyperbolic spiral
I'm using the following code and would appreciate any help towards the right direction.
- Extra points to whoever can help me in the right direction without directly giving away the answer. Unless it's simply a formatting issue.
- No points if the answer suggested involves using (x,y) coordinates to draw.
ANSWER
Answered 2020-May-01 at 05:51Simply adjusting the constants passed to draw_spiral()
as arguments:
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