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d67124b147ec4288a7c72332b71e0265
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stμ₂dying
01/20/2022 16:22:42
im not talking about your problem, desmos can tell you that answer easily enough
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shred
01/20/2022 16:22:42
but idk
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stμ₂dying
01/20/2022 16:23:02
im just saying that if you think this is true you should probably discard that line of reasoning
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Ansh_
01/20/2022 16:23:19
To your problem, yes : your left limit $\to +\infty$
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shred
01/20/2022 16:23:49
what 😭
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Noza
01/20/2022 16:24:11
It’s 10 LFMAO
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Ansh_
01/20/2022 16:24:29
wdym what... you said this yourself right?
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shred
01/20/2022 16:24:49
oh you mean solution or what
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Ansh_
01/20/2022 16:25:04
Yes
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shred
01/20/2022 16:25:08
im not english i dont know how you guys write that
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d67124b147ec4288a7c72332b71e0265
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shred
01/20/2022 16:25:13
yeah i got +inf
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Ansh_
01/20/2022 16:25:16
the final left limit of the function is that
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Ansh_
01/20/2022 16:25:18
hm
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shred
01/20/2022 16:25:20
yeah
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shred
01/20/2022 16:25:44
cause its 1/0+ (which i got by my logic explained earlier)
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d67124b147ec4288a7c72332b71e0265
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stμ₂dying
01/20/2022 16:25:47
,w limit as x approaches 0 from the left (3x^3 + 2x^2 +1 )/(x*sin(x^3))
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TeXit
01/20/2022 16:25:49
**Ansh**
https://cdn.discordapp.c…233012371577.png
706934233012371577.png
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stμ₂dying
01/20/2022 16:26:44
your answer is fine i was just trying to warn you against that line of reasoning
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stμ₂dying
01/20/2022 16:27:23
.close
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stμ₂dying
01/20/2022 16:27:30
didn't think so oh well
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shred
01/20/2022 16:28:25
okay so in this case its good if i just leave it like that?
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d67124b147ec4288a7c72332b71e0265
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shred
01/20/2022 16:28:34
but i cant use it always
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TeXit
01/20/2022 16:28:52
https://cdn.discordapp.c…8832906/wolf.png
wolf.png
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TeXit
01/20/2022 16:28:53
https://cdn.discordapp.c…4544198/wolf.png
wolf.png
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stμ₂dying
01/20/2022 16:29:03
thank you wolfram very cool
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PapaBread
01/20/2022 16:29:05
Wait what would be a counter example just out of personal curiosity
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stμ₂dying
01/20/2022 16:29:47
f(x) = x for all negative x, 1 for all positive x
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shred
01/20/2022 16:29:54
btw if i multiply -inf and -inf i get +inf right?
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stμ₂dying
01/20/2022 16:30:05
f(x) * f(x) approaches 0 from left, 1 from right
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PapaBread
01/20/2022 16:30:44
Oh I thought you meant they both approach zero from the right
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PapaBread
01/20/2022 16:31:03
Lazy reading ig
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stμ₂dying
01/20/2022 16:31:43
my only point is you cant make any conclusions about what's going on on the right side of a function based solely on the behavior of the left
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stμ₂dying
01/20/2022 16:31:45
and vice versa
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shred
01/20/2022 16:32:04
okay that makes sense
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shred
01/20/2022 16:32:13
. pls
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stμ₂dying
01/20/2022 16:32:31
you can't "multiply" infinities
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shred
01/20/2022 16:32:42
zamn
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shred
01/20/2022 16:32:51
:monkey:
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Noza
01/20/2022 16:33:16
5x2 10
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Noza
01/20/2022 16:33:19
Or sum like that
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shred
01/20/2022 16:33:34
thanks bro
1
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shred
01/20/2022 16:33:39
no way its 10 im blind
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d67124b147ec4288a7c72332b71e0265
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shred
01/20/2022 16:35:49
im struggling on how im supposed to write my steps
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d67124b147ec4288a7c72332b71e0265
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shred
01/20/2022 16:36:06
how am i supposed to conclude its infinity?
1
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d67124b147ec4288a7c72332b71e0265
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shred
01/20/2022 16:36:17
if i usually cant do it with my logic
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shred
01/20/2022 16:40:02
this is what i was kinda asking
https://cdn.discordapp.c…0292/unknown.png
unknown.png
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d67124b147ec4288a7c72332b71e0265
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shred
01/20/2022 16:40:14
by infinity i meant when number tend to inf
1
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Ansh_
01/20/2022 16:52:59
:this:
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Ansh_
01/20/2022 16:53:11
It's okay
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Ansh_
01/20/2022 16:53:49
About how to write the steps, I'd suggest you first recollect your thoughts from the scratch on the question... and then jot down whatever you got in your own words :o
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shred
01/20/2022 16:54:54
okay thanks
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shred
01/20/2022 16:55:08
i got it
1
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shred
01/20/2022 16:55:11
.close
1
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b063deb8761842f8b7cac7224ae4c3b7
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Salt
01/20/2022 17:09:22
is the left method better or the right one?
https://cdn.discordapp.c…01-20_133042.png
Screenshot_2022-01-20_133042.png
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Salt
01/20/2022 17:10:12
.done
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Salt
01/20/2022 17:10:16
.close
1
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91693941ce4845ffb99812066fbc41b5
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frog
01/20/2022 17:55:40
https://cdn.discordapp.c…2014/unknown.png
unknown.png
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frog
01/20/2022 17:56:53
Are the triangles able to be proven congruent given the information above by a postulate?
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Mathmatix
01/20/2022 18:31:13
`Suppose the conclusion of an argument is a tautology. What can you conclude about the validity of the argument? what if the conclusion is a contradiction? What if one of the premises is either a tautology or a contradiction?` For the last part: `What if one of the premises is either a tautology or a contradiction` ...
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rechonchota
12/21/2021 09:43:43
I need some help understanding trig functions.
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rechonchota
12/21/2021 09:43:49
What does sin cos and tan really mean
1
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rechonchota
12/21/2021 09:44:18
for me I understand a function as something that codes an 'x' value (domain) into a y value (range
1
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rechonchota
12/21/2021 09:44:56
but then I am taught that you can code an 'x' value (which represents normallly an angle) by inputting it into a trig (sin cos tan) function and it gives an output value
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rechonchota
12/21/2021 09:45:33
how does this work??
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Torped0
12/21/2021 09:51:46
If an angle of x radians was plotted on a unit circle in a cartesian plane, then the value of the y-coordinate of the point on the circle corresponding to that angle is the sine of that angle, and the value of the x-coordinate corresponding to that angle is the cosine of that angle
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Torped0
12/21/2021 09:52:05
tan is the ratio of the y-coord to the x-coord
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rechonchota
12/21/2021 09:54:05
ok so we can't assign any numerical value to sin because you cant describe the y values of a circle through a function
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rechonchota
12/21/2021 09:55:13
so sin is really a collection of (Im assuming different values) which change for every increase in 'x' so you can get a 'y' value
1
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rechonchota
12/21/2021 09:55:30
does that also mean the sin and cos functions are our best hope to defining a function of a circle??
1
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d51e4e2bf25c43f98778c5a0ce749554
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rechonchota
12/21/2021 09:55:34
if that makes sense
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Torped0
12/21/2021 09:56:12
well, you can describe the y values of a circle, and the description requires sin
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Torped0
12/21/2021 09:56:43
yes, and that 'y' value is what i told you
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rechonchota
12/21/2021 09:56:51
yeh exactly man
1
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Torped0
12/21/2021 09:57:06
alright cool
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rechonchota
12/21/2021 09:57:15
cheers btwe
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Torped0
12/21/2021 09:57:19
i guess so
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Torped0
12/21/2021 09:57:29
thanks 👍
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Brun。
12/21/2021 09:59:01
the set of points (cosA,sinA) as A ranges from 0 to 2pi will draw a circle in the plane so yeah
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rechonchota
12/21/2021 09:59:34
👍
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skrillex
01/20/2022 19:01:29
.reopen
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Ruben!
01/20/2022 19:36:47
I have a really blurry understanding what "power" means in the context of a statistical study. After a search I found that "It depends on the chosen level of significance, difference that we look for (effect size), variability of the measured variables, and sample size." I understand that increasing sample size can in...
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Buxy
01/20/2022 19:53:23
Power relates to the probability that you will reject the null hypotheses when your test parameter is the true parameter. Meaning that the probability that your null value parameter is the correct value will is always 0 and the probability that your alternative hypothesis is always 1.
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Ruben!
01/20/2022 20:16:36
Me again, still wondering about this question
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Ruben!
01/20/2022 20:17:21
I already have the definition of what power is, what I'm looking for is examples of how to increase power in a study, or make an underpowered study into a regular powered one
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Buxy
01/20/2022 20:44:36
Power is only increased with sample size, this is because the more you lower the probability that you will commit a type I error, the higher the probability that you will commit a type II error
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Dev Shah
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Ruben!
01/20/2022 20:48:45
Does the significance level chosen have any effect on this? A smaller threshold can help less false positives getting in right?
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Buxy
01/20/2022 20:49:58
Like assume you want to test the null hypothesis that... (assume normal distribution)... H0: that the average temperature in Hawaii in January is -40F. This is a very safe assumption that 99.9999% that you will reject that - very powerful, but you might reject H0 when it actually was -40F.
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Buxy
01/20/2022 20:50:36
That is true, but it may increase true negatives
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Ruben!
01/20/2022 20:50:52
By this, you mean if you had many samples vs e.g. 1 sample?
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Ruben!
01/20/2022 20:50:57
Since 1 sample is well, unreliable
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Ruben!
01/20/2022 20:51:05
And it might have been -40F one day
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Ruben!
01/20/2022 20:52:47
If you were testing a new drug's safety, you'd want a very high power level, correct? Even if you end up having many false negatives like you said, it seems safer to capture all the trials where the drug produces a harmful effect rather than risk having an unsafe drug released to the market
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Buxy
01/20/2022 20:53:45
Exactly
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Ruben!
01/20/2022 20:55:19
Is that why medical hypothesis testing for example has a way lower threshold? E.g. 0.001 or something (couldn't find actual examples)
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Ruben!
01/20/2022 20:55:47
I've also heard about "overpowered" testing but nothing about it seems really wrong to me
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Ruben!
01/20/2022 20:56:14
You might waste more trials/rseources, but is there any reason to not go as much as possible from a scientific point of view?
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Buxy
01/20/2022 20:56:51
Ha "99.9% effective - but you may get dehydration, depression, dizziness, and/or death"
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Ruben!
01/20/2022 20:57:49
I mean, I guessed that they had to be very very sure 🤣 having p < 0.05 would be pretty disastrous, having 1/20 people being theoretically harmed, I think.
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Buxy
01/20/2022 20:59:19
Haha, I get what you mean xD but I don't assume that you "p" stands for power there
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Ruben!
01/20/2022 20:59:57
oh no, just since we were talking about how lowering p can reduce false positives
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