- #36
DrClaude
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jedishrfu said:Rolling back the years to a simpler time when Abbott and Costello taught us some real math:
But only because the one two three forth dived.etotheipi said:If 2005 humour is still funny... the English cat 'one two three' and the French cat 'un deux trois' had a swimming race to decide after which country the Channel should be named. The un deux trois cat sank.
That reminds me of the very first joke in the very first episode of Fawlty Towersetotheipi said:If 2005 humour is still funny... the English cat 'one two three' and the French cat 'un deux trois' had a swimming race to decide after which country the Channel should be named. The un deux trois cat sank.
etotheipi said:
On the surface this one looks a bit ... disconnected.##\int_a^b f(x)\,dx = F(a)-F(b)##.
If only that weren't a typo, integration would be a lot easier...fresh_42 said:##\int_a^b f(x)\,dx = F(a)-F(a)##
etotheipi said:$$2x = \frac{d}{dx}(x^2) = \frac{d}{dx} (\underbrace{x + \dots + x}_{x \, \mathrm{times}}) = \underbrace{1 + \dots + 1}_{x \, \mathrm{times}} = x$$Hence, ##2=1##.
Judge: Excellent point, Mr Pi. So you will find it no greater hardship that I have doubled the fine.etotheipi said:"You see officer, whilst it's true that I was going 80 mph on that dual carriageway, Dr Greg proved that in fact 80 = 70 and so, mathematically, this fine is unjustified..."
Corollary: All numbers are equal.etotheipi said:$$2x = \frac{d}{dx}(x^2) = \frac{d}{dx} (\underbrace{x + \dots + x}_{x \, \mathrm{times}}) = \underbrace{1 + \dots + 1}_{x \, \mathrm{times}} = x$$Hence, ##2=1##.
DrGreg said:All numbers are equal! Let ##a## and ##b## be any two numbers and define$$
c = a + b.
$$Multiply both sides by ##a-b##:$$
(a - b)c = (a - b)(a+b).
$$Expand:$$
ac - bc = a^2 - b^2.
$$Rearrange:$$
b^2 - bc = a^2 - ac.
$$Add ##ab## to both sides:$$
ab + b^2 - bc = a^2 + ab - ac.
$$Factorise:$$
(a+b-c)b = (a+b-c)a.
$$Cancel:$$
b=a
$$QED.