Math

May empty entire math departments
no math "JSH" <jstevh(a)gmail.com> wrote in message news:7484abb7-40cd-45f7-990f-92a20adb526c(a)x10g2000prk.googlegroups.com... It's past time for me to remind that I'm not looking for agreement as one of my major issues will be pushing a lot of academics out of academia, and at this point, I'm facing the hor... 2 Feb 2010 16:43

Division Algorithm (64 bit using two 32 bit registers)
Hi All, I'm looking at some code that is seg faulting while attempting to perform a divide using a 64 bit dividend and divisor. The code is written without a native 64 bit word, so: struct MY_INT_64 { int32 high; // signed uint32 low; // unsigned } The code is generalized using Knuth's algorith... 2 Feb 2010 22:23

What makes a trivial operator trivial ?
If you consider the empty set by itself it is nonsensical. It needs set theory to make sense. Nullity is nonsensical when it stands alone without all of the other apparatus which allows it to make sense. It is very much like the number zero in many respects. And the number zero would be nonsensical if it were con... 17 Feb 2010 00:25

JSH: Twin primes
One of the weirder things I discovered a while back was a resistance to probabilistic explanations for some prime things where the easiest area to see it boldly displayed is with twin primes probability. To understand fully, imagine that you accept that primes don't have a preferred residue modulo themselves with... 8 Feb 2010 22:34

Algebraic Independence
Hello, it's a well known fact that if the complex numbers a_1, ..., a_n are algebraic independent over Q, they are also algebraic independent over the field of all algebraic numbers. Is there some simple proof of this fact? I haven't ever studied the theory of fields, so ... Thank you very much for your help.... 2 Feb 2010 16:39

Harmonics in oscillator-
I.N. Galidakis wrote: I am playing around with a specific oscillator. I have identified 5 modes of oscillation, which correspond to 7 frequencies N_j, therefore the system phasor is: p(t)=sum(exp(2*Pi*i*N_j*t),j=1..7) Do I need to also include all the harmonics exp(2*Pi*i*k*N_j*t), k=2,3,4... 5 Feb 2010 02:52

Pi and e
Hello, it's a well-known fact that pi and e are two irrational numbers. Now, let m, n be two nonzero integers. Are (pi)^m and e^n independent over Q? I think the answer is yes, but I couldn't find a proof. Thank you very much for your attention. My Best Regards, Maury Barbato ... 2 Feb 2010 23:38

Comprehensive Solution Manual for Textbooks
All messages replied. If you need anything, please email me at sbooks4sale[at]hotmail[dot]com or visit my site at www.sbooks4sale.com ... 11 Feb 2010 20:45

Upper bound on concavity reversal of Elliptic to Hyperbolic geometry #362; Correcting Math
David Bernier wrote: Archimedes Plutonium wrote: Archimedes Plutonium wrote: (snipped) That should read 18 by 18 degrees of latitude longitude of a sphere globe, and changed on the original post. Also, I suspect that the Upper Bound if it is 18 by 18 degree latitude ... 2 Feb 2010 16:37

Seeking English equivalent of a certain German word
I am seeking an English word or phrase equivalent for the German word "Weitenbehaftungen" that was used by the German mathematician/philosopher Friedrich Jacob [Jakob] Kurt Geissler [Geißler] (1859-1941) I am not particularly interested in his theories on infinity and infinitesimals (which were widely criticiz... 2 Feb 2010 16:39