tetrachromacy 4D can be found up to 12% in the human population
March 19, 2024
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what happened to our dry summer season, the maths/scientists ALL got it wrong, it hasnt stopped raining. 🫣our farmers are not happy.
after studying met ,predicting weather is nothing more than a guess. -
Interesting.
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Nice summary for the TLDR folk.
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The problem with mathematical definitions on Wikipedia is that you have to be a mathematician to understand them.
They are written as precise and dry as possible - which in general, is no use to someone trying to learn / understand a concept.The best teachers teach the concept first and then the definition. The worst teachers just try and ram facts / definitions down one's throat.
The thing about mathematics is that it mostly builds on previous concepts - you can't side step into half way along.
None the less I love it - but I am no mathematician.
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I thought that it was much less than that and my new buddy ChatGPT 4 agrees:
"Tetrachromacy in humans is quite rare, especially in its functional form where it results in a significantly expanded color perception beyond the typical human range. In humans, tetrachromacy occurs most often in women, as the gene for the extra cone type is located on the X chromosome. Estimates suggest that 2% to 3% of the world's female population might have a fourth cone type, potentially enabling tetrachromacy."
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I was wrong it was up to 12% of the female population may have the gene
One of the problems is how do you test for this other than genetic testing or dissection.
Next is how can a person tell if they have this gene if they have observed color this way all their life. -
I see. Do you have a link to where it says that?
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www.allaboutvision.com/conditions/retina/tetrachromacy/
I always like to follow these kind of things as I know that I see color differently than most people around me
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Don't :) After few unsuccessful attempts I at last began to understand your 'infinite dimensional spectral densities' (as an infinite set of all possible spectral density functions over entire visible spectrum) - and now you turn my understanding upside down again :(
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The uncertainty principal limits the number of distinguishable measurements that we can make of photons of a given momentum (and thus energy/wavelength) within a locational constraint (such as a pixel). So in fact the spectral density is only infinite if the sensor is infinitely large.
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This discussion is getting very complicated. The Raw-file contains all the electrical information of the sensor, which mains also the color-info. But Raw is not a bitmap. Only after developing in a Raw-converter the pixels are fixed in place, brightness and color. What you see as a RAW-file is always a virtual interpretation, and how it shows depends of the profile/ preset used by the software (mostly converters). A JPG is a fixed pixel-array and looks the same in different software (browsers, keynote, office, macos, windows ect.
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The question is the number of distinguishable data points, which is indeed theoretically limited by the uncertainty principle - and makes the ultimate dimensionality not infinite. In practice, there are plenty on other limits (such as read and shot noise) which come into play well before the uncertainty principle.
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IMO Heisenberg uncertainly principle (HUP) does not change anything here - set of visible wavelengths (interval on ℝ) is uncountably infnite and set of overlapping intervals on it (assuming HUP changes points to intervals) is uncountably infinite too.
