How is it that inverse seems to be used as "multiplicative inverse" in this context? It seems like a really ambiguous term, because it could also be interpreted as either:
inverse of the square root (which is just the squaring operation), or
the inverse of some other binary operator, like addition or anything else...
> it could also be interpreted as ... [the] inverse of the square root (which is just the squaring operation)
Since the other obvious interpretation is not very useful and has a clearer name—i.e. “the square”—the term “inverse square root” has only one useful meaning, which is therefore how it’s interpreted. (I don’t follow the second option about binary operators.) Mathematical terminology and notation in general are full of ambiguities which are resolved by extensive contextual knowledge. As noted by a sibling comment, calling it the reciprocal square root would be clearer.
It is the inverse of the square root. If you want to normalise a vector, you divide the components by the length. The length is the sqrt of the sum squares (Pythagoras). Divide is more expensive than multiply. So get the inverse sqrt of the sum of the squared components, then multiply the components by the inverse sqrt.
Anecdotal evidence in my grandmother's family indicates yes. 7 brothers and sisters, and all women who had children in the family developed dementia late in life.
It's entirely possible, but it didn't go unnoticed that the women of the family who didn't have kids didn't develop dementia, and those who did have kids did end up with it later in life.
It’s a routine thing. Once you’re out of “waking up to feed” phase (which is typically is <10months), it is better to have a rigid sleep schedule for the kid and it forces you to adopt one as well.
once installed, open the app, and go to the "complex modifications" tab. then click "add rule". then click "import more rules from the internet". on the web site that opens, expand "Modifier Keys". import "Change caps_lock key".
that'll give you a rule to do what you want in karabiner. (the rule is "Change caps_lock to control if pressed with other keys, to escape if pressed alone".)
1) HFT is more than just US equities. Many exchanges are open 23 hours a day.
2) Many HFT firms do not specialize in 'news-reading'. That is, they will sit out periods when an expected announcement is coming. You can observe this by looking at the liquidity of a product just prior to an expected relevant news release - there will be very few orders.
3) There are more events than just news events that require speed.
Sure - market-makers need to react quickly. But that's only during the hours when the market is open. If there's no market, no-one needs to be quick about it.
I don't know about other places, but on the highway in Michigan near construction sites they sometimes have signs saying something like "If you injure a worker, it's a $5000 fine and up to 25 years in jail".
Note the precedence of the $5000 fine before the 25 years of jail time. Clearly the Michigan DOT thinks that fines and jail time are necessary incentives to not kill or harm construction workers.
The call for larger sample sizes isn't always appropriate. It can often lead to spurious inferences.
As Jacob Cohen (famous statistician) has said, "all null hypotheses, at least in the two tailed forms, are false".
That is, with nearly any hypothesis about differences between groups, given a large enough sample size, you're likely to find a significant difference.
i think the difference here is between the two different experiments (one with three rolls of the dice and one with a single roll) and not a difference between the groups. You could choose to use the exact same group of participants for both experiments.