RE: Was pi invented or discovered?
March 13, 2013 at 9:21 am
(This post was last modified: March 13, 2013 at 9:23 am by The Grand Nudger.)
(March 13, 2013 at 3:30 am)Aractus Wrote:(March 12, 2013 at 10:40 pm)Rhythm Wrote: As a relationship between the circumference and diameter of a circle.Again, not true. It could only be true for a perfect circle, which cannot be constructed. Think again. Pi can be used to calculate the circumference or area of a circle from the radius or diameter, or it can be used to calculate the radius or diameter or area from the circumference, etc. Pi is a transcendental number, a circle is a real object. A real object is finite, and thus not transcendental.
Yet we have no problem constructing them. Come now, a vast number of perfect circles exists anywhere we care to place them, as both the circle and pi are descriptions of a relationship between dimensions that we found it useful to define in a certain way. I'm not entirely sure what there would be to disagree with in the sentence you quoted, as this is how pi is defined. If pi is not a description of the relationship between the circumference and diameter of a circle please alert the mathematical community at your next convenience Aractus.
I am the Infantry. I am my country’s strength in war, her deterrent in peace. I am the heart of the fight… wherever, whenever. I carry America’s faith and honor against her enemies. I am the Queen of Battle. I am what my country expects me to be, the best trained Soldier in the world. In the race for victory, I am swift, determined, and courageous, armed with a fierce will to win. Never will I fail my country’s trust. Always I fight on…through the foe, to the objective, to triumph overall. If necessary, I will fight to my death. By my steadfast courage, I have won more than 200 years of freedom. I yield not to weakness, to hunger, to cowardice, to fatigue, to superior odds, For I am mentally tough, physically strong, and morally straight. I forsake not, my country, my mission, my comrades, my sacred duty. I am relentless. I am always there, now and forever. I AM THE INFANTRY! FOLLOW ME!
