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  2. What are the historical origins of terms for north, south, east...

    linguistics.stackexchange.com/questions/1077

    The only Latin words for north, east, south, and west that we know are all metonymical: winds and and the movement of the sun (e.g. oriens = "up-coming" = east). No basic words as we have them are known. Auster is the (hot) south wind, metonymically the south, and that is what Australia is named after. –

  3. What is the origin of the four cardinal directions (North, East,...

    hsm.stackexchange.com/questions/8473/what-is-the-origin-of-the-four-cardinal...

    The opposite direction to this is called South. South is also the direction to the Sun in the middle of its daily way over the sky. These directions are of fundamental importance. East-West are perpendicular directions (in the horizontal plane). East to the side where the Sun rises, and West where it sets.

  4. How to convert North/South and East/West velocities into a...

    math.stackexchange.com/questions/2106751/how-to-convert-north-south-and-east...

    I am trying to write airplane tracking software and I need to turn North/South Velocity and East/West velocity into a 0-360 degree heading. For example: Plane 1 is travelling North-West and has 220 mph groundspeed North/South and -440 mph groundspeed East/West. What is the heading in compass degrees and how do I calculate that?

  5. probability - In the card game bridge, the 52 cards are dealt out...

    math.stackexchange.com/questions/4584102/in-the-card-game-bridge-the-52-cards...

    We need to condition on the $26$ cards received by East and West. If North and South have eight spades between them, they also have $26 - 8 = 18$ non-spades. That means of the $26$ cards East and West receive, $13 - 8 = 5$ are spades and $39 - 18 = 21$ are non-spades. We wish to find the probability that East receives three of the five ...

  6. How can we directly see that the number of random walks starting...

    math.stackexchange.com/questions/515995/how-can-we-directly-see-that-the...

    Since $n$ must be even in order for the walk to be closed, I’ll write $n=2m$.Let $n_N,n_S,n_E$, and $n_W$ be the number of steps north, south, east, and west ...

  7. Street combinatorics problem - Mathematics Stack Exchange

    math.stackexchange.com/questions/2428714/street-combinatorics-problem

    The map is a 9 x 8 and each block is a square of the same size. 1) How many different routes are possible for him? (179) (17 9) 2) How many different routes are possible if the one block in the easterly direction, whic begins four blocks east and three blocks north of his home, is under water (and he can't swim) (Hint: Count the routes that use ...

  8. Knowing only the coordinates of the North-East and South-West...

    math.stackexchange.com/questions/1220889/knowing-only-the-coordinates-of-the...

    What's different is that only the coordinates of the North-East and South-West (or North-West and South-East) corners are known. My question is, can you directly determine if a point lies inside the rectangle without finding the coordinates of the other 2 corners?

  9. Question: In the card game bridge, the 52 cards are dealt out equally to 4 players - called East, West, North and South. If North and South have total of 8 spades among them, what is the probability that East has 3 of the remaining 5 spades? My Approach: My answer to the above question was: East can get 3 spades out of remaining 5 spades in ...

  10. In a bridge game, North and South have 9 spades between them....

    math.stackexchange.com/questions/3087365/in-a-bridge-game-north-and-south-have...

    There are four players in Bridge: North and South (partners) and East and West (partners). There are $13$ spades. $9$ of them are held in either the North or South hand and you need to work out what the probability is that one of the remaining two players holds no spades (or equivalently, all four remaining spades) $\endgroup$

  11. A certain country has four regions: North, East, South, and West.

    math.stackexchange.com/questions/3875482/a-certain-country-has-four-regions...

    A certain country has four regions: North, East, South, and West. The population of these regions are 3 million, 4 million, 5 million, and 8 million, respectively. There are 4 cities in the North, 3 in the East, 2 in the South, and there is only 1 city in the West. Each person in the country lives in exactly one of these cities.