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Objective competence and experience in the following subjects: Photography/lenses, fitness, electric guitar, golf, tennis, trading stocks, nutrition, chess, programming, and wine tasting. PM me for information on any of these topics.


Jan
22
comment Phenomenon that have $\sqrt{x}$ functions? Grading curve, inverse-square law, etc?
Right, so distance traveled is parabolic. But, isn't speed increasing with time? It's not constant. It's getting faster as it falls (until it hits terminal velocity)
Jan
21
revised Is this a valid log operation?
added 115 characters in body
Jan
21
comment Is this a valid log operation?
I fixed the typo where I accidentally used $log_x$ instead of $log_b$
Jan
21
comment Is this a valid log operation?
I fixed the typo where I accidentally used $log_x$ instead of $log_b$
Jan
21
revised Is this a valid log operation?
edited body
Jan
21
asked Is this a valid log operation?
Jan
18
comment Phenomenon that have $\sqrt{x}$ functions? Grading curve, inverse-square law, etc?
That falling object example. In the beginning, it moves slowly. Later on, it moves faster and faster. If I were to graph speed, wouldn't it look more like an exponential than a square root curve (which is flattening out like a log curve)
Jan
15
revised Phenomenon that have $\sqrt{x}$ functions? Grading curve, inverse-square law, etc?
added 168 characters in body
Jan
15
comment Phenomenon that have $\sqrt{x}$ functions? Grading curve, inverse-square law, etc?
Thanks. Yes, these fn's would exhibit the derivative behavior you described. But, I am primarily interested in the NATURE of square root functions. ie: What kinds of behavior, situations, or models are best described with a square root function ?
Jan
14
asked Phenomenon that have $\sqrt{x}$ functions? Grading curve, inverse-square law, etc?
Jan
14
comment Why do you reject negative base solution for Logs?
Why not? Logs are just another way of writing exponent form. And you can have negative bases in exponent form.
Jan
8
comment Why do you reject negative base solution for Logs?
Sure, it may not be a nice convenient consistent function, but does that mean it's not allowed ?
Jan
8
comment Why do you reject negative base solution for Logs?
Why is $-8^x$ illegal? Sure, it may not be a nice round number, but that's a far cry from undefined like a div by 0. Seems like a legitimate operation.
Jan
8
comment Why do you reject negative base solution for Logs?
Badly behaved is a lot different than not existing, right?
Jan
8
comment Why do you reject negative base solution for Logs?
No consensus here.
Jan
8
asked Why do you reject negative base solution for Logs?
Dec
27
comment Real world situation with System of Equation with 3 variables?
Gabriel, thanks, and don't take this the wrong way, but this is a perfect example of a fake contrived textbook problem. In which universe will you ever have this fake constraint of precisely 245 calories, 6 grams of protein, and 7 grams of fat? I am hoping to find a real example that makes sense, not a fake example that is created strictly to justify the math. You know what I mean?
Dec
21
comment Using probability to detect exam cheating (identical wrong answers)
What a perfect example of restating the premise! I was barking up the wrong tree until you cleared the mist and restated the question as, "What are the odds they select all the same answers" This is a much simple probability problem. Thanks!
Dec
21
accepted Using probability to detect exam cheating (identical wrong answers)
Dec
21
asked Using probability to detect exam cheating (identical wrong answers)