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Next semester at college, I am enrolled in a class called "Intro to Probability and Statistics". All the course description says `is: "Sample spaces; combinatorial theory; elementary probability; random variables; discrete and continuous probability distributions; moments and moment-generating functions; applications"
This makes it sound pretty basic, but 2 things give me pause. First, one of the prerequisites to this particular course is multivariable calculus. Second, while browsing some of the student feedback on the course, several warned that your integration skills have to be sharp to do well in this class.
Fortunately, I did well in my multivariable calculus class and have a lot of practice doing integration problems, but I'm still curious: what concepts taught in this type of class are likely to require us to use integration? I might want to read up on these subjects just so I have a better idea what I'm getting into.-- Captain Breakfast ( talk) 03:02, 30 May 2015 (UTC)
How do you calculate the length, width, and height of a rectangular cuboid when given the coordinates of two diagonally opposite corners? I came across some code [1] that does exactly this:
viewer->addCube (min_point_AABB.x, max_point_AABB.x, min_point_AABB.y, max_point_AABB.y, min_point_AABB.z, max_point_AABB.z, 1.0, 1.0, 0.0, "AABB");
I didn't even think this was possible before, since so little information is given. My other car is a cadr ( talk) 10:04, 30 May 2015 (UTC)
Does anyone know of a good, preferably free, introduction to this topic for a non-mathematician? Most of the material I've come across is a bit too formal for me.-- Leon ( talk) 10:33, 30 May 2015 (UTC)
We could define (in a broad sense) the orthogonal group of a vector space V over a field K with an associated symmetric bilinear form B to mean the group of all linear transformations that preserve the form, namely all T for which B(Tv, Tv) = B(v, v) for all v in V. It appears to be a fairly normal to define orthogonality in terms if any reflexive bilinear form (and, I suspect, any bilinear form in general). We already have a name for a group that preserves a symmetric bilinear form. My question is: what would be call the group that preserves an alternating bilinear form, and what would we call the group that preserves a bilinear form in general? Does the latter even make sense? — Quondum 17:31, 30 May 2015 (UTC)
Mathematics desk | ||
---|---|---|
< May 29 | << Apr | May | Jun >> | May 31 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Next semester at college, I am enrolled in a class called "Intro to Probability and Statistics". All the course description says `is: "Sample spaces; combinatorial theory; elementary probability; random variables; discrete and continuous probability distributions; moments and moment-generating functions; applications"
This makes it sound pretty basic, but 2 things give me pause. First, one of the prerequisites to this particular course is multivariable calculus. Second, while browsing some of the student feedback on the course, several warned that your integration skills have to be sharp to do well in this class.
Fortunately, I did well in my multivariable calculus class and have a lot of practice doing integration problems, but I'm still curious: what concepts taught in this type of class are likely to require us to use integration? I might want to read up on these subjects just so I have a better idea what I'm getting into.-- Captain Breakfast ( talk) 03:02, 30 May 2015 (UTC)
How do you calculate the length, width, and height of a rectangular cuboid when given the coordinates of two diagonally opposite corners? I came across some code [1] that does exactly this:
viewer->addCube (min_point_AABB.x, max_point_AABB.x, min_point_AABB.y, max_point_AABB.y, min_point_AABB.z, max_point_AABB.z, 1.0, 1.0, 0.0, "AABB");
I didn't even think this was possible before, since so little information is given. My other car is a cadr ( talk) 10:04, 30 May 2015 (UTC)
Does anyone know of a good, preferably free, introduction to this topic for a non-mathematician? Most of the material I've come across is a bit too formal for me.-- Leon ( talk) 10:33, 30 May 2015 (UTC)
We could define (in a broad sense) the orthogonal group of a vector space V over a field K with an associated symmetric bilinear form B to mean the group of all linear transformations that preserve the form, namely all T for which B(Tv, Tv) = B(v, v) for all v in V. It appears to be a fairly normal to define orthogonality in terms if any reflexive bilinear form (and, I suspect, any bilinear form in general). We already have a name for a group that preserves a symmetric bilinear form. My question is: what would be call the group that preserves an alternating bilinear form, and what would we call the group that preserves a bilinear form in general? Does the latter even make sense? — Quondum 17:31, 30 May 2015 (UTC)