Is CT number a dimensionless quantity?

The only thing Iβm confused about tbh

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π€︎ u/Top_Hearing_9932
π︎ Jan 23 2022
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Why is radians a dimensionless quantity and not an unit

So while i was studying about arc length
why does arc length when theta is used in radians has unit metre and not metre raidians.

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π︎ Sep 27 2021
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TIL that the fine-structure constant, a dimensionless quantity roughly equal to 1/137, is one of nature's most important numbers. While this constant has now been determined to many decimal places, it is used to characterize the strength of the electromagnetic force affecting charged particles. quantamagazine.org/physicβ¦
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π€︎ u/KimCureAll
π︎ May 15 2021
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ELI5: Dimensionless Physical Quantities

I've done my fair share of reading and seem to still lack some basic understanding that is inhibiting me from grasping why pi or e are dimensionless. Does this have to do with SI or is something dimensionless because it lacks previous or subsequent quantities?

Thanks!

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π€︎ u/jal1992
π︎ Feb 15 2021
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Expanding on the awesome yin-yang finding by /u/traviscrisp - showing that a nested seed of life constructed yin-yang contains a 1/64th dimensionless quantity of scale - hinting at octaves of fractal 64THM. More in comments imgur.com/4eQnL7G
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π€︎ u/d8_thc
π︎ Dec 31 2015
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"Radians etc, are a dimensionless quantities so it doesn't make sense to talk about '10 radians'." np.reddit.com/r/math/commβ¦
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π€︎ u/Waytfm
π︎ Oct 30 2014
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Dimensionless quantity en.wikipedia.org/wiki/Dimβ¦
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π︎ Jan 03 2019
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A list of dimensionless quantities en.wikipedia.org/wiki/Dimβ¦
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π€︎ u/xcoders
π︎ Dec 08 2009
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Why does it make sense to multiply/divide units?
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π€︎ u/supposenot
π︎ Nov 30 2021
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What is the history of the "elasticity" concept in economics?

I'm aware that elasticities were introduced to economics by Alfred Marshall. Formally, elasticity of a function is the derivative times the input variable divided by the original function:

[;\text{E}\left[g(x)\right]=\frac{x\cdot g'(x)}{g(x)};]

I've never seen this concept used in any other field, be it pure mathematics, statistics, or physical science. It seems to differ quite substantially from the concept of elasticity used in physics.

The justification used by Varian in Intermediate Microeconomics is that it allows us to see dimensionless (percentage) changes. This seems to work fine for monomial functions, but behaves quite oddly when dealing with most other functions.

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π€︎ u/pepin-lebref
π︎ Nov 10 2021
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Is the notion of a radian "natural" or arbitrary? Would we end up with different formulations of cosines or e.g. Euler's formula if we used a different way to measure angles?

I don't think I understand how this works, and I would welcome any good intuition pumps.

In terms of "data types", the sine function is supposed to take in an angle and return a number. This shouldn't depend on whether we use radians or degrees or something else -- sin(pi radians) should be the same as sin(180 degrees). But in a lot of places I see it interpreted as taking a number and returning a number. The input number is assumed to be radians in this case, so that sin(1) == sin(1 radian). But is this fundamental, or is this arbitrary? Can I say that I'm representing my angles in some other dimensionless quantities? Like multiples of a circle, so that sin(1) == sin(360 degrees) == 0.

This becomes important when we consider data types. I often see people writing something like sin(x) / x. For us to be able to take a sine of x, x needs to be an angle. So sin(x) / x is dividing a number by an angle -- why does this work, is it not a mismatch in data types? One way we can fix this is to assume that the sine function converts a number to an angle "under the hood", so to speak, so that the resulting function takes a number and returns a number. But for this to work, we need to define how exactly a number is converted into an angle. We can say it interprets the number as the amount of radians, or we can say that it interprets the number as the amount of multiples of a circle. Sin(1) takes up different values depending on how exactly we convert a plain number into an angle. So -- I'm not sure if I'm making sense here, correct me if I'm wrong -- there isn't a single sin function, there is a family of sin-like functions that differ in how exactly they convert a number into an angle. Sin_radians(1) is 0.84, sin_degrees(1) is 0.02, and sin_multiples_of_circle(1) is 0.

So the question is -- is sin_radians special in any way, for us to consider it the "default" sine function in our applications?

There's Euler's formula: e^(ix) = cos(x) + isin(x). X is clearly a number, because it's used as an exponent. Is it important how exactly it gets converted into an angle on the right side of the equation? What kind of sine and cosine function does the formula use? Would the formula look different if we conventionally measured angles in multiples of a circle rather than in radians? Euler's formula is used to define complex exponentiation -- does that mean that the way complex exponentiation works depends on an arbitrary choice of measuring stick? Or is the radia

... keep reading on reddit β‘

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π€︎ u/thetimujin
π︎ Oct 03 2021
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SERIOUS: This subreddit needs to understand what a "dad joke" really means.

I don't want to step on anybody's toes here, but the amount of non-dad jokes here in this subreddit really annoys me. First of all, dad jokes CAN be NSFW, it clearly says so in the sub rules. Secondly, it doesn't automatically make it a dad joke if it's from a conversation between you and your child. Most importantly, the jokes that your CHILDREN tell YOU are not dad jokes. The point of a dad joke is that it's so cheesy only a dad who's trying to be funny would make such a joke. That's it. They are stupid plays on words, lame puns and so on. There has to be a clever pun or wordplay for it to be considered a dad joke.

Again, to all the fellow dads, I apologise if I'm sounding too harsh. But I just needed to get it off my chest.

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π€︎ u/anywhereiroa
π︎ Jan 15 2022
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Explanation of deciBels, signal loss, antenna gain, and POC11

tl/dr; you can subtract the cable loss from your dBi value in the app, but only because the math happens to work out that way, not because it actually changes the dBi value of your antenna

&nbsp;

#deciBels and logarithms

&nbsp;

The base unit here is the Bel (named after Alexander Graham Bell) and deci means 1/10^th (like how centi means 1/100^th in centimeter), so 1 dB = 0.1 Bel.

When we express a number in Bels or dB, we are just choosing a logarithmic representation, i.e., to express numbers as 10 to some power. For example, 2 = 10^0.3 = 0.3 Bels = 3 dB so we are just choosing to represent the number "2" as 3 dB because 10^0.3 = 2 instead of just saying "2". We can express any number this way. This implies that every 3 dB represents a factor of 2, and every 10 dB represents a factor of 10 (because 10^1.0 = 10). The reason we do this is because it allows us to cover a much larger range of values using small numbers (e.g., 100 dB is much more compact than 10000000000). It also allows us to add quantities instead of multiplying because 10^x * 10^y = 10^x+y.

&nbsp;

#What's the difference between dB, dBm, and dBi?

Because logarithms and, therefore, dB, are dimensionless quantities, they must be expressed relative to something to have any physical meaning. For example, dBm stands for deciBel-milliWatts and is in reference to 1 mW. If the Bobcat miner has a power rating of 25 dBm, for example, we can express it in a more familiar quantity using the above relations: 25 dBm = 2.5 Bel * 1 mW = 10^2.5 * 1 mW = 316 mW.

dBi stands for deciBel-isotropic and is relative to an ideal, isotropic source (i.e., it emits radiation uniformly in all directions). Antennas are passive devices, so this gain actually describes the shape of the radiation pattern (i.e., it's deviation from an isotropic sphere). It's not actually a single value but rather a function that depends on direction; when a single value is given, it is taken to be the maximum, which occurs perpendicular to the axis of the antenna (the radiation is identically zero along the axis of the antenna for a real source).

Side note, dBd stands for deciBel-dipole and is relative to an electric dipole, which is much more physcially meaningful because these are dipole antennas and perfect isotropic radiators do not really exist. You simply add 2.15 dB to convert from dBd to dBi, so it is actually sometimes frowned upon when manufacturers

... keep reading on reddit β‘

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π€︎ u/stonerphysics
π︎ Nov 11 2021
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Just because it's a joke, doesn't mean it's a dad joke

Alot of great jokes get posted here! However just because you have a joke, doesn't mean it's a dad joke.

THIS IS NOT ABOUT NSFW, THIS IS ABOUT LONG JOKES, BLONDE JOKES, SEXUAL JOKES, KNOCK KNOCK JOKES, POLITICAL JOKES, ETC BEING POSTED IN A DAD JOKE SUB

Try telling these sexual jokes that get posted here, to your kid and see how your spouse likes it.. if that goes well, Try telling one of your friends kid about your sex life being like Coca cola, first it was normal, than light and now zero , and see if the parents are OK with you telling their kid the "dad joke"

I'm not even referencing the NSFW, I'm saying Dad jokes are corny, and sometimes painful, not sexual

So check out r/jokes for all types of jokes

r/unclejokes for dirty jokes

r/3amjokes for real weird and alot of OC

Punchline !

Edit: this is not a post about NSFW , This is about jokes, knock knock jokes, blonde jokes, political jokes etc being posted in a dad joke sub

Edit 2: don't touch the thermostat

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π€︎ u/CzarcasmRules
π︎ Jan 23 2022
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Blind Girl Here. Give Me Your Best Blind Jokes!

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π€︎ u/Leckzsluthor
π︎ Jan 02 2022
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Petition to ban rants from this sub

Ants donβt even have the concept fathers, let alone a good dad joke. Keep r/ants out of my r/dadjokes.

But no, seriously. I understand rule 7 is great to have intelligent discussion, but sometimes it feels like 1 in 10 posts here is someone getting upset about the jokes on this sub. Let the mods deal with it, they regulate the sub.

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π€︎ u/drak0ni
π︎ Jan 24 2022
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I heard that by law you have to turn on your headlights when itβs raining in Sweden.

How the hell am I suppose to know when itβs raining in Sweden?

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π€︎ u/justshtmypnts
π︎ Jan 25 2022
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French fries werenβt cooked in France.

They were cooked in Greece.

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π︎ Jan 20 2022
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This subreddit is 10 years old now.

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π€︎ u/frexyincdude
π︎ Jan 14 2022
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You've been hit by
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π€︎ u/mordrathe
π︎ Jan 20 2022
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I'm sick of you guys posting dumb wordplay in here for awards and upvotes.

Don't you know a good pun is its own reword?

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π€︎ u/diggitygiggitycee
π︎ Jan 21 2022
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My 4 year oldest favourit joke, which he very proudly memorized and told all his teachers.

Two muffins are in an oven, one muffin looks at the other and says "is it just me, or is it hot in here?"

Then the other muffin says "AHH, TALKING MUFFIN!!!"

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π€︎ u/smoffatt34920
π︎ Jan 22 2022
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Dropped my best ever dad joke & no one was around to hear it

For context I'm a Refuse Driver (Garbage man) & today I was on food waste. After I'd tipped I was checking the wagon for any defects when I spotted a lone pea balanced on the lifts.

I said "hey look, an escaPEA"

No one near me but it didn't half make me laugh for a good hour or so!

Edit: I can't believe how much this has blown up. Thank you everyone I've had a blast reading through the replies π

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π︎ Jan 11 2022
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What starts with a W and ends with a T

It really does, I swear!

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π€︎ u/PsychedeIic_Sheep
π︎ Jan 13 2022
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My wife left me because I couldnβt stop doing impressions of pasta

And now Iβm cannelloni

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π€︎ u/bluestratmatt
π︎ Jan 23 2022
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Why did Karen press Ctrl+Shift+Delete?

Because she wanted to see the task manager.

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π€︎ u/Eoussama
π︎ Jan 17 2022
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Steve JOBS would have made a better President than Donald Trump

But thatβs comparing apples to oranges

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π€︎ u/Ok-Ingenuity4838
π︎ Jan 22 2022
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I just flew in from Chernobyl

And boy are my arms legs.

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π€︎ u/JhopkinsWA
π︎ Jan 23 2022
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So 2 trees got arrested in the town I live...

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π€︎ u/K1ll47h3K1n9
π︎ Jan 18 2022
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I was almost upset that my coffee tasted like dirt today

but then I remembered it was ground this morning.

Edit: Thank you guys for the awards, they're much nicer than the cardboard sleeve I've been using and reassures me that my jokes aren't stale

Edit 2: I have already been made aware that Men In Black 3 has told a version of this joke before. If the joke is not new to you, please enjoy any of the single origin puns in the comments

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π€︎ u/scarf_spheal
π︎ Jan 19 2022
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No gains
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π€︎ u/ridi86
π︎ Jan 22 2022
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How eggs-traordinary
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π€︎ u/Rix27_
π︎ Jan 21 2022
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What is the scariest tree?

BamBOO!

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π€︎ u/K1ll47h3K1n9
π︎ Jan 18 2022
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What is a a bisexual person doing when theyβre not dating anybody?

Theyβre on standbi

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π€︎ u/Toby-the-Cactus
π︎ Jan 12 2022
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A queen size statement.
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π€︎ u/Flight-less
π︎ Jan 22 2022
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My ten-year-old daughter came up with this at dinner tonight: What do you get if put a copy of Macbeth on top of a dictionary?

A play on words.

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π€︎ u/ah1887
π︎ Jan 20 2022
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My son, Luke, loves how I named our kids after Star Wars characters...

My daughter, Chewbecca, not so much.

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π€︎ u/andersonfmly
π︎ Jan 21 2022
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When I was a single man, I had loads of free time.

Now that I listen to albums, I hardly ever leave the house.

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π€︎ u/porichoygupto
π︎ Jan 25 2022
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Geddit? No? Only me?
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π€︎ u/shampy311
π︎ Dec 28 2021
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I wanna hear your best airplane puns.

Pilot on me!!

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π€︎ u/Paulie_Felice
π︎ Jan 07 2022
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E or Γ?
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π€︎ u/Amazekam
π︎ Jan 03 2022
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Which actor drives the least?

Christopher Walken

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π€︎ u/TR1771N
π︎ Jan 18 2022
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What did Spartacus say when the lion ate his wife?

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π€︎ u/rj104
π︎ Jan 15 2022
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Pun intended.
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π€︎ u/Sharmaji1301
π︎ Jan 15 2022
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