GingerAle

 I turn off the higher power by saying,  "Amen."

Curly is soitenly my favorite. 

Here's a clip of the funniest of all.

Well, I would like to be sitting right behind them! nyuk nyuk nyuk

I love the three stooges!

See post #8

19)  Solution for Greatest Common factor of ((3^2046) - 1) and ((3^2016) - 1)

General formula

\(\gcd(b^m-1,b^n-1)= (b^{\gcd(m,n)}-1). \\ \gcd(3^{2046} - 1, 3^{2016}-1)= (3^{\gcd(2046,\;2016)}-1)\\\)

\(3^{2046} = 2046*log(3)\ \& \ 3^{2016} = 2016*log(3) \text { |Note that exponents become factors: } \\ \gcd (2046), (2016) = 6 \text {| Find the GCF of the exponents. }\\\)

\((3^{6}) -1 \text {| Use this factor as an exponent of the base and subtract the one. }\\ (3^{6}) -1 = 728 \text { |Solve in base ten. }\\\) \(\text {Descriptive mathematics for the example. }\\ (3^{2046}- 1) = ((3^{6})-1)((3^{2040})+(3^{2034})+(3^{2028})+(3^{2022})+ (3^{2016}) . . . +(3^{6}) + 1)\\ (3^{2016} - 1) = ((3^{6})-1)((3^{2010})+ (3^{2004})+(3^{1998})+(3^{1992})+ (3^{1988}) . . . +(3^{6}) + 1)\\ \)

(My mentor – Lancelot Link, taught this method to me.)

Oh, that’s Cousin Adam. He’s a nudist. Rather handsome, I think.  I’m wondering if I would recognize him if he had fur on. 

The biographies, published anecdotes from family and friends, and personal letters indicate a great love and devotion between them.   His wife lamented to him that he often worked all night and slept all morning.  To me, her lament seems more like a tease than a nag.   

The one thing Bell did not like was a telephone. He would disconnect it because he didn’t want to be disturbed. Joseph-Ignace Guillotin didn’t much care for his invention either. 

Guys, guys,  … ... don’t listen to this blarney bag.  … … … …

Mr. Blarney Bag, your many uses of Occam's razor are always inept, and very much so in this instance.  You use it as an arbiter for known correct solutions –it was never intended for this.  In your plop of BS, you use the magic incantation of Occam’s razor to present a compact answer in three lines. In reality, you have used it as an excuse to trim the requirements for the proof and the related work needed for demonstration.

If Euler had used Occam’s razor he would never have derived (i) or e^(iπ).

If Einstein embraced Occam’s razor philosophy, he may have said Newton’s theory of gravity is enough—no need to expand our horizons. 

If Alexander Graham Bell said the telegraph is enough, then, instead of “Mr. Watson — Come here — I want to see you.” We’d have:

-- .-. .-.-.- / .-- .- - ... --- -. --..-- / ... --- -- . --- -. . / .--- ..- ... - / ..- ... . -.. / --- -.-. -.-. .- --  ... / .-. .- --.. --- .-. / --- -. / -- -.-- / -... . .-.. .-.. ...

If the progenitors of we genetically enhanced chimps embraced Occam’s razor philosophy, we would be only slightly more intelligent than the mentally encumbered, blarney-classed humans, like you --instead of the vastly superior beings that we are.   

There is hope. Maybe there is a cure for your batshit-stupid strains of CDD and your arrogant self-delusions. Just use Occam’s razor to exsanguinate yourself.  I’m sure Chirurgeon Tud would recommend starting with the jugular vein or the carotid artery.  It is a good thing –you are removing trivial excess from the population.  Don’t forget to use the magic incantation. I know this is a small hope, but hope always springs eternal, because Occam’s razor rusts away in this spring.

Actually, Sir CPhill, he did misuse “your” for “you’re” in “your welcome”.   (They are both idiots.)

The correct form is “You’re welcome.”  It’s so often presented incorrectly it seems like the correct form should be wrong. 

I like the southern form, “Y'all are welcome.” Then there is “Y’uins are welcome,” which I hear  often in New York (city) and New Jersey. I don’t know if it’s used in the south or not. 

Now that I’ve done my duty as a grammar troll, I will leave before someone tells me, “You’ve over stayed your welcome.”

The solution for x

\(3-2x\le 5\\ \text { }\\ -2x\le 2 \hspace{1cm} | \text { Subtract 3} \\ 2x\ge -2 \hspace{1.1cm} |\text { Multiply by -1, flip the inequality.} \\ \dfrac{2x}{2}\ge \dfrac{-2}{2} \hspace{.73cm} |\text { Divide by 2} \\ x\ge \:-1 \hspace{1.1cm} |\text { Simplify } \ \)