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Anyone here into math?


[ea...]

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[ea...]

Was a math tutor before benzo withdrawal.

I find that a good math puzzle/problem takes my mind of withdrawal.

Let me begin with this: 0,10,1110,3110,132110,..?

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Well done! Any background in math?

Do you have anything to propose?

 

I’m a database architect - patterns are a standard feature.

 

Why do programmers mix up Halloween and Christmas?

Because Oct 31 = Dec 25.  ;D

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[ea...]

I’m a database architect - patterns are a standard feature.

 

Why do programmers mix up Halloween and Christmas?

Because Oct 31 = Dec 25.

 

Priceless!

 

There are 10 kinds of people though, programmers and non-programmers. ;)

For those in the latter category: 31 [base 8] = 25 [base 10].

 

Now let's up the ante.

 

A car travels a given distance going 90km/h for the 1st half and 110km/h for the 2nd.

What's the average velocity of the car. Hint: it is not 100km/h.

 

PS. To speak in programming terms, pattern recognition is a built-in human function.

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[36...]

There are 10 kinds of people though, programmers and non-programmers. ;)

 

i don't understand why romans still think there are ll kinds when we clearly know there are 10.

 

A car travels a given distance going 90km/h for the 1st half and 110km/h for the 2nd.

What's the average velocity of the car. Hint: it is not 100km/h.

 

this is a good question.  i googled so i won't answer. it helps (makes it easier) if you use "speed" instead of "velocity" because there is no vector in question.

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[ea...]

A car travels a given distance going 90km/h for the 1st half and 110km/h for the 2nd.

What's the average velocity of the car. Hint: it is not 100km/h.

 

No takers? How about this one then; which bet would you take and why:

a. Roll a 6-sided die 4 times. You win if you roll a 6.

b. Roll 2 6-sided dice 24 times. You win if you roll double 6s.

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[36...]

A car travels a given distance going 90km/h for the 1st half and 110km/h for the 2nd.

What's the average velocity of the car. Hint: it is not 100km/h.

 

No takers?

 

wait. actually there are vectors in question. you have to state direction or you will have multiple answers?

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[36...]

a. Roll a 6-sided die 4 times. You win if you roll a 6.

b. Roll 2 6-sided dice 24 times. You win if you roll double 6s.

 

wait.  :D

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[44...]

I’m a database architect - patterns are a standard feature.

 

Why do programmers mix up Halloween and Christmas?

Because Oct 31 = Dec 25.

 

Priceless!

 

There are 10 kinds of people though, programmers and non-programmers. ;)

For those in the latter category: 31 [base 8] = 25 [base 10].

 

Now let's up the ante.

 

A car travels a given distance going 90km/h for the 1st half and 110km/h for the 2nd.

What's the average velocity of the car. Hint: it is not 100km/h.

 

PS. To speak in programming terms, pattern recognition is a built-in human function.

 

99.0 km/h

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[ea...]

i don't understand why romans still think there are ll kinds when we clearly know there are 10.

 

Beats me!

 

it helps (makes it easier) if you use "speed" instead of "velocity" because there is no vector in question.

 

Close, but no cigar; I said "average velocity" which is scalar.

 

wait. actually there are vectors in question. you have to state direction or you will have multiple answers?

 

If a constant "speed" is implied - which it is - direction doesn't matter.

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[36...]

a. Roll a 6-sided die 4 times. You win if you roll a 6.

b. Roll 2 6-sided dice 24 times. You win if you roll double 6s.

 

a is 0.31

b is 0.52

 

so b?

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[36...]

i don't understand why romans still think there are ll kinds when we clearly know there are 10.

 

Beats me!

 

i meant 11 (for roman ll)

 

If a constant "speed" is implied - which it is - direction doesn't matter.

 

i'm sorry, but please bear with me here. can't you have a constant speed in two different cases but different velocities?

 

(i know i am missing something here but i'd like to learn)

 

edit. by the same token, i do not understand how if velocity is vector, "avg. velocity" can be scalar.

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[ea...]

a. Roll a 6-sided die 4 times. You win if you roll a 6.

b. Roll 2 6-sided dice 24 times. You win if you roll double 6s.

 

a is 0.31

b is 0.52

 

so b?

 

A is not 0.31 and B is not 0.52 so..?

 

PS. A common misconception - which you edited out rather quickly -

is that A=B=0.67 which is incorrect.

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[36...]

a. Roll a 6-sided die 4 times. You win if you roll a 6.

b. Roll 2 6-sided dice 24 times. You win if you roll double 6s.

 

a is 0.31

b is 0.52

 

so b?

 

A is not 0.31 and B is not 0.52 so..?

 

PS. A common misconception - which you edited out rather quickly -

is that A=B=0.67 which is incorrect.

 

yes i realized a=b=0.67 is incorrect. that is why i edited it out.

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[ea...]

i don't understand why romans still think there are ll kinds when we clearly know there are 10.

i meant 11 (for roman ll)

 

I know.

 

If a constant "speed" is implied - which it is - direction doesn't matter.

can't you have a constant speed in two different cases but different velocities?

 

Yes, but it doesn't matter in this case.

 

can i pose a math puzzle to you? preferably after the open ones have been solved though.

 

Gladly! Personally, I don't mind when you post it.

 

PS. I've replied to your introduction.

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[36...]

Yes, but it doesn't matter in this case.

 

 

velocity = displacement/time.

 

if the vehicle travels in opposite directions in the two legs, then the displacement would be less and thus avg. velocity less?

 

(please bear with me... i know i can be taxing!)

 

PS. I've replied to your introduction.

 

so have i. i hope i don't get banned now.  :)

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velocity = displacement/time.

 

if the vehicle travels in opposite directions in the two legs, then the displacement would be less and thus avg. velocity less?

 

average velocity = distance/time

 

I asked for the average velocity.

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[36...]

velocity = displacement/time.

 

if the vehicle travels in opposite directions in the two legs, then the displacement would be less and thus avg. velocity less?

 

average velocity = distance/time

 

I asked for the average velocity.

 

outis, you are shaking the very foundation of my grade 6 physics knowledge! velocity = delta x / delta time. delta x is displacement (not distance).

 

can you give me a link to help me understand why i am wrong?

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[36...]

Are you asking why the answer was 99 km/hr?

 

no.

 

i am saying it is 99 only if "velocity" is substituted with "speed" in the question. (i am unable to understand why my assumption is unnecessary i mean.)

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[ea...]

velocity = displacement/time.

 

if the vehicle travels in opposite directions in the two legs, then the displacement would be less and thus avg. velocity less?

 

average velocity = distance/time

 

I asked for the average velocity.

 

outis, you are shaking the very foundation of my grade 6 physics knowledge! velocity = delta x / delta time. delta x is displacement (not distance).

 

can you give me a link to help me understand why i am wrong?

 

I can and I will but it may not help you so I'll try 1st.

 

Definitions:

1. Displacement = change in position

2. Distance = total amount travelled

3. Velocity = displacement/time (vector)

4. Average velocity = distance/time (scalar)

 

Notes:

1. Velocity and speed are used interchangeably.

2. When talking about velocity we imply instantaneous velocity.

3. You can only talk about velocity at a given moment (instant).

 

Example:

If you go from A to B and back your displacement is 0,

which would make your velocity 0, which is absurd; hence Note 3.

You can always talk about your average velocity which is (AB)/t(A->B).

 

Links: velocity, speed.

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[36...]

I can and I will but it may not help you so I'll try 1st.

 

Definitions:

1. Displacement = change in position

2. Distance = total amount travelled

3. Velocity = displacement/time (vector)

4. Average velocity = distance/time (scalar)

 

Notes:

1. Velocity and speed are used interchangeably.

2. When talking about velocity we imply instantaneous velocity.

3. You can only talk about velocity at a given moment (instant).

 

Example:

If you go from A to B and back your displacement is 0,

which would make your velocity 0, which is absurd; hence Note 3.

You can always talk about your average velocity which is (AB)/t(A->B).

 

Links: velocity, speed.

 

thank you very much outis. i was beginning to understand what you said when i realized that "instant velocity" (the default term for "velocity") should be considered same as "speed" and thus scalar but then i read the following about "average velocity" in the wikipedia article and again got confused (because it is contradictory to what you say):

 

If you go from A to B and back your displacement is 0,

which would make your velocity 0, which is absurd

 

and

 

The big difference can be noticed when we consider movement around a circle. When something moves in a circular path (at a constant speed, see above) and returns to its starting point, its average velocity is zero but its average speed is found by dividing the circumference of the circle by the time taken to move around the circle.

 

it is ok. it's not that i am being mulish  -- it is more likely that i am not math savvy and am thus unable to understand. i think we can drop it.  if you ever run out of patience with me, you can choose to ignore me or simply indicate that i am arguing in circles and i will stop -- i do not want this thread (or similar threads) locked for any reason.

 

your probability question remains unanswered. i think we can now say that leslieash is not going to attempt it. i am curious to know the answer. :) and i don't want to google (at least not without informing or else it would be no fun).

 

i will go ahead and post my own math puzzle. i'll bet it will probably turn out to be too easy for you (or others) but humour me (if you have the patience or inclination!).  ;D

 

p.s. if you do have the patience and the inclination, i was wondering if i could ask you to explain to me some old math concepts that i never understood? you can choose to ignore this too!

 

 

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