Search found 4144 matches
- Tue Oct 21, 2003 2:35 am
- Forum: Anything
- Topic: Ok, should I change my Avatar/Sig?
- Replies: 6
- Views: 6704
- Tue Oct 21, 2003 2:31 am
- Forum: Forum Games
- Topic: Post About the Poster Above You
- Replies: 3704
- Views: 616678
- Tue Oct 21, 2003 2:30 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
<span style='font-size:14pt;line-height:100%'><b>NOTE</b></span><br><br>Isotropy at a point dose not imply homogeniality because the properties could diminish away from a point and sill be isotropic at that point.<br><br>Isotropy everywhere does imply homogeniality.<br><br>Some properties have direc...
- Tue Oct 21, 2003 2:24 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
- Tue Oct 21, 2003 2:20 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
<b><span style='font-size:14pt;line-height:100%'>ISOTROPIC</span></b><br><br>Something is <i>isotropic at a point</i> if every property changes the same is any direction from the point.<br><br>Something is <i>isotropic</i> if it's isotropic at every point.<br><br>This definition is not entirely rigo...
- Tue Oct 21, 2003 2:17 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
<span style='font-size:14pt;line-height:100%'><b>CURVATURE</b></span><br><br>Let r:R^1->R^m be differentiable at every point.<br>r(t)<br>T(t):=(dr/dt)/(norm(dr/dt)<br>r(s):=r(t) a distance s along the curve away from a reference point in a reference direction.<br><br>The <i>curvature</i> or r is kap...
- Tue Oct 21, 2003 2:10 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
- Tue Oct 21, 2003 2:08 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
- Tue Oct 21, 2003 2:04 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
- Tue Oct 21, 2003 2:01 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
- Tue Oct 21, 2003 1:57 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
<span style='font-size:14pt;line-height:100%'><b>LINEARLY INDEPENDENT</b></span><br><br>A sub set S:={v_1,v_2,...,v_n} of a vector space V over Fis <i>linearly independent</i> iff for all v_i, v_i cannot be written as a linear combination of the others (i.e. v_i does not equal sum(a_j*v_j) for all j...
- Tue Oct 21, 2003 1:52 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
<span style='font-size:14pt;line-height:100%'><b>VECTOR SPACE</b></span><br><br>A <i>vector space</i> over a field F is a set V that satisfied the folowing properties:<br><br>i) There exists vector addition VxV->V such that:<br> i) a+b=b+a for all a,b in V<br> ii) a+(b+c)=(a+b )+c for all a,b,c in V...
- Tue Oct 21, 2003 1:40 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
Sorry the posting is confusing b ) with <!--emo&B)--><img src='http://definecynical.mancubus.net/forum ... s/cool.gif' border='0' style='vertical-align:middle' alt='cool.gif' /><!--endemo-->
- Tue Oct 21, 2003 1:39 am
- Forum: Anything
- Topic: Definitions
- Replies: 19
- Views: 16344
<span style='font-size:14pt;line-height:100%'><b>FIELD</b></span><br><br>A <i>field</i> is a set with two binary operations (S,+,*) satisfying the following:<br><br>i) SxS->S:=a+b for all a,b in S. (S is closed under addition)<br>ii) a+b=b+a for all a,b in S. (S is commutative under addition)<br>iii...