Sorry if it sounded like I hadn’t read the post carefully. I know it annoys me a lot when I have to repeat myself because people don’t seem to be listening. But I did in fact notice that and had a possibly incorrect but not actually crazy reason for asking that specific question.
where f() is continuous and monotonically positive in ambient_temperature, exercise_intensity, and time. In other words, a small increase in any of the three inputs yields a small increase in the output.
This implies that for a sufficiently small increase in exercise_intensity, there would be some finite decrease in ambient_temperature that would offset it. I interpreted “does not [get around the sweat problem]” as meaning that for a fixed value of exercise_intensity, as ambient_temperature decreases, expected_amount_of_sweat approaches a lower asymptotic bound. It’s possible for that to happen (e.g. if you’re doing intense enough exercise you will sweat even in a walk-in freezer), but for there still to be an offsetting effect (e.g. carrying something heavy or running will make me sweat sooner on a hot summer day than on a cold winter day).
It seems as though either my model is wrong, or my model is right but the transition from resting to walking is not a sufficiently small increase in exercise_intensity. Is one of those the case, or am I missing something else?
Your model is close to correct, but “ambient temperature” is local to parts of the body, and in some locations cannot normally drop below my actual core body temperature. I’d have to wear ice packs in some mighty weird and highly uncomfortable places to make reality function like a naive version of your model.
OK, though I’m quite surprised if you’re saying that the general outside temperature has no effect whatsoever.
I’m slightly less surprised if you’re saying it has some effect, but that due to localization of heat and the insulation of even light clothing, walking is intense enough to overcome even a chilly autumn or winter night sweatwise.
General outside temperature has an effect on parts of me that are exposed to air. This doesn’t typically include, say, armpits, my scalp under my hair, or certain less G-rated locations—not because of clothes (or rather not entirely because of clothes; they certainly have an effect), but because of other body parts being in the way.
Ah. I was thinking in terms of core body temperature being affected by the external temperature, which seems like it has to happen at least in extreme cases as a simple matter of physics (e.g. if it’s so hot or so cold that it overcomes the body’s ability to self-regulate temperature), but it might not happen in the majority of less extreme cases for some people. I should just take your word for it that you’re one of those people, or close enough for practical purposes.
And it’s probably a bad idea to induce hypothermia in order to go for a run without sweating, so I withdraw my suggestion.
From the original comment:
Sorry if it sounded like I hadn’t read the post carefully. I know it annoys me a lot when I have to repeat myself because people don’t seem to be listening. But I did in fact notice that and had a possibly incorrect but not actually crazy reason for asking that specific question.
My model looked something like this:
expected_amount_of_sweat = f(ambient_temperature,exercise_intensity,time)
where f() is continuous and monotonically positive in ambient_temperature, exercise_intensity, and time. In other words, a small increase in any of the three inputs yields a small increase in the output.
This implies that for a sufficiently small increase in exercise_intensity, there would be some finite decrease in ambient_temperature that would offset it. I interpreted “does not [get around the sweat problem]” as meaning that for a fixed value of exercise_intensity, as ambient_temperature decreases, expected_amount_of_sweat approaches a lower asymptotic bound. It’s possible for that to happen (e.g. if you’re doing intense enough exercise you will sweat even in a walk-in freezer), but for there still to be an offsetting effect (e.g. carrying something heavy or running will make me sweat sooner on a hot summer day than on a cold winter day).
It seems as though either my model is wrong, or my model is right but the transition from resting to walking is not a sufficiently small increase in exercise_intensity. Is one of those the case, or am I missing something else?
Your model is close to correct, but “ambient temperature” is local to parts of the body, and in some locations cannot normally drop below my actual core body temperature. I’d have to wear ice packs in some mighty weird and highly uncomfortable places to make reality function like a naive version of your model.
OK, though I’m quite surprised if you’re saying that the general outside temperature has no effect whatsoever.
I’m slightly less surprised if you’re saying it has some effect, but that due to localization of heat and the insulation of even light clothing, walking is intense enough to overcome even a chilly autumn or winter night sweatwise.
General outside temperature has an effect on parts of me that are exposed to air. This doesn’t typically include, say, armpits, my scalp under my hair, or certain less G-rated locations—not because of clothes (or rather not entirely because of clothes; they certainly have an effect), but because of other body parts being in the way.
Ah. I was thinking in terms of core body temperature being affected by the external temperature, which seems like it has to happen at least in extreme cases as a simple matter of physics (e.g. if it’s so hot or so cold that it overcomes the body’s ability to self-regulate temperature), but it might not happen in the majority of less extreme cases for some people. I should just take your word for it that you’re one of those people, or close enough for practical purposes.
And it’s probably a bad idea to induce hypothermia in order to go for a run without sweating, so I withdraw my suggestion.