As I experienced the Moore method (as used by one of Moore's students), the class is asked to prove or disprove statements. They don't know in advance whether a statement should be proven or disproven. They get experience in giving counterexamples.
In my opinion, the Moore method places a...
The city does have "hard" water. (2021 Water quality report: https://www.lascruces.gov/ArchiveCenter/ViewFile/Item/1901 )
The precipitation also happens to plastic containers if they are used as water bowls. If they are only used to hold water momentarily (like plates and glasses) they don't...
Minerals in my city water deposit as white uneven layers on the metal bowls typically sold for watering dogs and cats. They also deposit that way on the metal bowls that I use for feeding humans. However on my two Nordicware brand cake pans (used as water bowls for cats) minerals deposit...
How is the arbitrary function (that defines the equation) to be presented to the subprogram that tries to solve it? For example, in C++ programming, the subprogram could access the subprogram for the function by having a pointer-to-function passed to it. If your program architecture is that...
Suppose there is a semigroup ##G## of functions that each map a set ##S## into itself (so the "multiplication" ##*## for the semigroup is the composition of functions). Also suppose ##G## has the property that there exists an element ##c \in S## such that for each ##f \in G## we have ## f(c) =...
In the context of the mappings of a set S into itself, when S is not number system with a zero, what is the customary definition for "zero mapping"?
( ChatGPT says that its a mapping that maps each element of S to some single element of S , i.e. maps all elements to some constant. )
After that, you'd have to know the variance of the amplitude as a function of the variances of the real and imaginary components. If they had the same variance, I think you'd have a Rayleigh distribution. I'm not sure how that generalizes to the case of unequal variances. Does that...
That is not a correct statement of a mathematical theorem. I sounds like an empirical formulation of The Law Of Large Numbers, but probability theory provides no guarantees about asymptotic frequencies. It only provides results about asymptotic probabilities. And probability theory says...
Some texts with a practical focus would agree with that statement, but in a technical sense, it is not mathematically correct. The probability of something is not a guarantee about how often it will happen. We can't make the guarantee implied by the phrase "will fall". For that reason, many...
There can be conflicts between mathematical definitions and definitions used to describe lab work. For example, consider the terms "bias", "true", and "error".
In mathematics, it makes no sense to talk about the "bias" of a population parameter. The mathematical use of the term "bias" applies...
It would be interesting to me (but not essential) to see a visual explanation of how the gear case in a Whilepool/Kenmore direct drive washer implements the neutral drain function. The neutral drain function is a period of time when the washer is pumping out water but not spinning or...
My guess is that your are consulting books and articles that aim only to state procedures for reporting lab results, not books that explain the mathematics on which these procedures are based.
In mathematical statistics "uncertainty" can be used to denote the standard deviation of a random...
I don't know what a statistical journal would want, but for the purpose of getting an answer on an internet forum, you could give a more verbal statement of the proposition before presenting it using only notation.
This appears to say the maximum value of a function ( which is a summation...
I will as soon as I solve another problem - the power cord on the dryer is 3-prong and the receptacle for it is 4-prong. I debate whether to change the receptacle and leave its ground unconnected or whether to change the cord on the dryer. The dryer was not designed for a 4-wire cord, but...
What are the typical ohm readings across the prongs of a plug on an unplugged 3-prong clothes dryer? - if such typical values exist.
I bought a used electric clothes dryer (Maytag Model MEDP576KW1 ) that I haven't plugged in yet. The seller is a reliable local business that says it works...