As you know, the Earth is not a perfect sphere so a persons weight varies from place on place on the surface of the globe. Assuming that the Earth is an ellipsoid (that is, the intersection of the Earth with a plane passing through the Poles is an ellipse) then the persons weight depends only on which latitude he or she is on.
whereis the ratio of the Equatorial radius of the Earth to the Polar radius of the Earth.
(2)and are weights, not masses. The persons mass does not vary with location on Earth.
(3) Because the left-hand side is a ratio, it does not matter which unit you use to measure weight. You can use newtons, pounds, stones, or even the unscientific kilos. The utility of the formula is that if you know your weight at a particular latitude on Earth, you can calculate your weight at any other latitude on Earth.
A dissatisfied train passenger writes the following letter of complaint to the railway authorities: "Gentlemen: I have been riding your trains daily for the last 22 years and the service on your line seems to be getting worse every day. I am tired of standing in the aisle all the time on my way to and from work. I think your transportation system is worse than that enjoyed by people 2000 years ago. Yours truly, A Commuter."
The railway authorities reply: "Dear Sir: We received your letter with reference to the shortcomings of our service and believe you are somewhat confused in your history. The only mode of transportation 2000 years ago was by foot. Sincerely, Western Railways."
The passenger replies back: "Gentlemen: I am in receipt of your letter and I think you are the ones who are confused in your history. If you refer to the Old Testament book of David in the Bible, Chapter Nine, you will find that Balaam rode to town 'seated' on his donkey. That, gentlemen, is something I have not been able to do on your trains in the last 22 years. Yours truly, A Long 'Standing' Commuter."
A concerned husband went to a doctor to talk about his wife. "Doctor, I think my wife is deaf because she never hears me the first time and I always have to repeat myself."
"Well," the doctor replied, "go home tonight and stand about 5 metres from her and say something to her. If she doesn't hear, move a metre closer and say it again. Keep doing this so we'll get an idea of the severity of her deafness."
The husband goes home and does what the doctor instructed. He stands 5 metres from his wife as she is chopping some vegetables and says, "Honey, what's for dinner?"
Hearing no response, he moves a metre closer and asks again. No reply. He moves another metre closer and still no reply. Fed up, he moves right behind her and asks again, "Honey, what's for dinner?"
She replies, "For the fourth time, vegetable stew!"
Nokia has announced that Apple has agreed to pay royalties for use of its technologies, ending the long-running legal dispute between the two firms. The Finnish company sued Apple for patent infringements in 2009 but Apple in turn accused Nokia of infringing its patents. It is good to see the Americans finally admitting that they are wrong and agreeing to settle up.
To test for maximality, consider idealswhere n is a prime divisor of 12. What happpens if n does not divide 12 or is a non-prime divisor thereof?
Well, anyone who knows about Galois theory can help me here.
i.e. the quotient ring of the ring of polynomials over the field of integers modulo p by the principal ideal generated by, an irreducible polynomial of degree n. The ideal generated by the irreducible polynomial is maximal; since it is also a proper ideal, the quotient ring must be a field. A typical element in it has the form , ; there are p possible values for for each and so there are elements altogether. Hence its a finite field with elements.
Now my question is: given any p and any n (> 1), can we always find an irreducible polynomial of degree n in? Ricky? Anyone?
Sorry, Tigeree. The fact is that Ive never seen the Australians playing so badly before. Ricky Ponting may or may not be to blame, but the statistics are there for all to see. Before Ponting became test captain in 2004, Australia had won eight Ashes series in a row. Since he took on the captaincy role, however, Australia have failed to win the Ashes in three of the last four series. Coincidence?