Silliness Quiz - Page 346

HomeInMyShoes · 01-06-2012, 09:42 AM

^Don't you dare! Paul will make us do more maths!

pdurrant · 01-06-2012, 09:47 AM

Maths question:
Express the square root of 2 as a fraction. Or show why it can't be done.

Non-maths question:
Where (according to the Bible) did Mary and Joseph go when they left Bethlehem after Jesus had been born?

pdurrant · 01-06-2012, 09:47 AM

Quote:

Originally Posted by HomeInMyShoes

^Don't you dare! Paul will make us do more maths!

Yes! But I've given a non-maths question too!

Hamlet53 · 01-06-2012, 10:08 AM

Quote:

Originally Posted by pdurrant

Maths question:
Express the square root of 2 as a fraction. Or show why it can't be done.

Non-maths question:
Where (according to the Bible) did Mary and Joseph go when they left Bethlehem after Jesus had been born?

First question, can't be done as the square root of 2 is irrational.

Suppose sqrt(2) rational? then exist natural numbers (l/m)^2 = 2;
with any common divisor between l and m removed. then l^2 = 2xm^2. so l^2 is even. All natural numbers with even squares are even as well. So l = 2xp for some natural number p. meaning l^2 = 4xp^2 = 2xm^2. this means 2xp^2 = m^2; So m^2 is also even, and so m is. But this means l and m still have a common divisor.

Second question I would be cheating after seeing the P&R forum this morning.

Oh I did not get question 2 so someone else is up no matter what!

WT Sharpe · 01-06-2012, 11:32 AM

I believe the author of Matthew says they went to Egypt, but Luke's author posits a different local, as I recall.

WT Sharpe · 01-06-2012, 11:54 AM

Just returned from checking. I was right, although I didn't mention the destination mentioned by Luke. Is that close enough for a win?

Spoiler:

pdurrant · 01-06-2012, 12:20 PM

Quote:

Originally Posted by Hamlet53

First question, can't be done as the square root of 2 is irrational.

Suppose sqrt(2) rational? then exist natural numbers (l/m)^2 = 2;
with any common divisor between l and m removed. then l^2 = 2xm^2. so l^2 is even. All natural numbers with even squares are even as well. So l = 2xp for some natural number p. meaning l^2 = 4xp^2 = 2xm^2. this means 2xp^2 = m^2; So m^2 is also even, and so m is. But this means l and m still have a common divisor.

Quote:

Originally Posted by WT Sharpe

Just returned from checking. I was right, although I didn't mention the destination mentioned by Luke. Is that close enough for a win?

Well done Hamlet53 and WT Sharpe. Take it away, one of you.

(Although you didn't read Luke quite closely enough. The passage you quote describes them returning to Nazareth from Jerusalem, which is where they went from Bethlehem in Luke's story.)

Hamlet53 · 01-06-2012, 01:11 PM

Go for it WT!

Daithi · 01-06-2012, 01:38 PM

When I have time, I'll show how to express the square root of 2 as a fraction.

Daithi · 01-06-2012, 04:52 PM

The following is a continued fraction--

and the square root of 2 written as a continued fraction is--

A continued fraction can be written in a more readable format where a0, a1, a2, a3... are written as follows [a0; a1, a2, a3, ...] so the square root of 2 written as a continued fraction is [1; 2, 2, 2, …]

WT Sharpe · 01-06-2012, 05:12 PM

The invention of frequency-hopping spread-spectrum, originally intended as a practically jam-proof directional control mechanism for torpedoes, is fundamental to modern spread-spectrum communication technology such as modern wi-fi networks.

One person came up with the idea, another helped develop it, and together they patented it.

Whose idea was it?

pdurrant · 01-06-2012, 05:15 PM

Quote:

Originally Posted by WT Sharpe

The invention of Frequency-hopping spread-spectrum, originally intended as a practicall jam-proof directional control mechanism for torpedoes, is fundamental to modern spread-spectrum communication technology such as modern Wi-Fi networks.

One person came up with the idea, another helped develop it, and together they patented it.

Whose idea was it?

Lauren Bacall? (No, wrong.)

WT Sharpe · 01-06-2012, 05:16 PM

You're in the right ballpark, but that's incorrect.

Bilbo1967 · 01-06-2012, 05:20 PM

I believe that Paul was close, but it was Hedy Lamarr if I recall correctly.

WT Sharpe · 01-06-2012, 05:24 PM

Yes, it was the Hollywood film star Hedy Lamarr, whose hobby was inventing. She got the idea from an early radio remote control that used a telephone-type dial to switch between frequencies.

Take it away, Bilbo1967!

01-06-2012, 09:47 AM	#5177
pdurrant The Grand Mouse 高貴的老鼠 Posts: 74,201 Karma: 317184274 Join Date: Jul 2007 Location: Norfolk, England Device: Kindle Oasis	Maths question: Express the square root of 2 as a fraction. Or show why it can't be done. Non-maths question: Where (according to the Bible) did Mary and Joseph go when they left Bethlehem after Jesus had been born? Last edited by pdurrant; 01-06-2012 at 09:48 AM. Reason: clarification

01-06-2012, 05:12 PM	#5186
WT Sharpe Bah, humbug! Posts: 39,072 Karma: 157049943 Join Date: Jun 2009 Location: Chesapeake, VA, USA Device: Kindle Oasis, iPad Pro, & a Samsung Galaxy S9.	The invention of frequency-hopping spread-spectrum, originally intended as a practically jam-proof directional control mechanism for torpedoes, is fundamental to modern spread-spectrum communication technology such as modern wi-fi networks. One person came up with the idea, another helped develop it, and together they patented it. Whose idea was it? Last edited by WT Sharpe; 01-06-2012 at 05:15 PM.

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01-06-2012, 09:42 AM	#5176
HomeInMyShoes Grand Sorcerer Posts: 19,226 Karma: 67780237 Join Date: Jul 2011 Device: none	^Don't you dare! Paul will make us do more maths!

01-06-2012, 11:32 AM	#5180
WT Sharpe Bah, humbug! Posts: 39,072 Karma: 157049943 Join Date: Jun 2009 Location: Chesapeake, VA, USA Device: Kindle Oasis, iPad Pro, & a Samsung Galaxy S9.	I believe the author of Matthew says they went to Egypt, but Luke's author posits a different local, as I recall.

01-06-2012, 01:11 PM	#5183
Hamlet53 Nameless Being	Go for it WT!

01-06-2012, 01:38 PM	#5184
Daithi Publishers are evil! Posts: 2,418 Karma: 36205264 Join Date: Mar 2008 Location: Rhode Island Device: Various Kindles	When I have time, I'll show how to express the square root of 2 as a fraction.

01-06-2012, 04:52 PM	#5185
Daithi Publishers are evil! Posts: 2,418 Karma: 36205264 Join Date: Mar 2008 Location: Rhode Island Device: Various Kindles	The following is a continued fraction-- and the square root of 2 written as a continued fraction is-- A continued fraction can be written in a more readable format where a0, a1, a2, a3... are written as follows [a0; a1, a2, a3, ...] so the square root of 2 written as a continued fraction is [1; 2, 2, 2, …]

01-06-2012, 05:16 PM	#5188
WT Sharpe Bah, humbug! Posts: 39,072 Karma: 157049943 Join Date: Jun 2009 Location: Chesapeake, VA, USA Device: Kindle Oasis, iPad Pro, & a Samsung Galaxy S9.	You're in the right ballpark, but that's incorrect.

01-06-2012, 05:20 PM	#5189
Bilbo1967 Not scared! Posts: 13,424 Karma: 81011643 Join Date: Mar 2009 Location: Midlands, UK Device: Kindle Paperwhite 10, Huawei M5 10	I believe that Paul was close, but it was Hedy Lamarr if I recall correctly.

01-06-2012, 05:24 PM	#5190
WT Sharpe Bah, humbug! Posts: 39,072 Karma: 157049943 Join Date: Jun 2009 Location: Chesapeake, VA, USA Device: Kindle Oasis, iPad Pro, & a Samsung Galaxy S9.	Yes, it was the Hollywood film star Hedy Lamarr, whose hobby was inventing. She got the idea from an early radio remote control that used a telephone-type dial to switch between frequencies. Take it away, Bilbo1967!