So please follow me on Twitter.  Would love to share with you what things I come across.  And one day (perhaps when I retire), I’ll write lengthier posts – in this blog or another.  We’ll see.  

Hopefully I can still drop by here from time to time to post a thought or two.  Here’s to hope!

(BTW: A link to my Twitter account is in the right column.  Some of my latest tweets are there too)

Still, I’ve decided to write.  Why?  Well, because honestly I do love writing.  And while my writings may not be as deep and compelling as a lot of others, I feel called to do this (to write, to share my ideas, and to mobilize/inspire).  Plus, everyone has to start somewhere, right?  Few just start something and immediately excel in it.  Most of us, I believe, start off wet behind the ears.  And as we keep at it, we get better.  I know that’s how it was for me and my studies (went from a 2.67 GPA to a 4.00 GPA).  Was also the case for me and track & field.  So even though my writing is not all that great.  Even though my ideas might not be revolutionary.  And even though I’m not widely read (and thus have little/no influence), I’m going to start.  I do believe I have a gift. And it’s a gift I’d like to invest more in.

All that said, I’m going to (hopefully) start writing more regularly.  I’m also considering a different platform.  Maybe even my own URL like other big time bloggers.

Gosh, there are really so many bloggers out there.  Easy to get lost in the crowd.  But yeah … I won’t be intimidated. I’m a writer. I know at least that much. And I love to preach and teach.  I love sharing what I know.  And I really want to help people – inspire them, assist them, etc.  How God intends for me to do this, I’m not clear about yet.  But, well, in the past, it’s helped me to write things down.  Writing helps to organize the sometimes jumbled thoughts I have.  So yeah, my conclusion was to start writing in my blog again. Every story has a beginning.  Maybe the new story that I’ll be telling starts from here.

I’ve recently been watching episodes I’ve missed thanks to Hulu.  Also revisiting some I already watched.  While entertaining, I also find the episodes inspiring. They’ve also been a reminder to me that while I may want to make a big, positive impact in this world while I’m in it, sometimes that big impact comes from a number of smaller impacts.

In one episode of Quantum Leap, the body funding the project is considering whether or not to continue supporting the expensive effort.  And while the folks behind the project present the lives that have been changed as a result of the project, the body thinks little of them.  They want to see something big.  Interestingly, a change in the life of one person actually results in additional funding for the project. Anyway, the point is, sometimes even one life changed trickles in profound ways.

So, though it may not be apparent, we really do all have the potential to make a profound difference in this world.  It’s not just the world leaders, CEOs, etc.  We just all need to be willing to invest parts of our lives for the lives of others – even if it’s just for the life of another.  That’s food for thought.  Any how, I want to conclude this with the final scene from the series finale of Quantum Leap.  I think it summed up the series pretty well although I wish the show had gone on longer.  Don’t really like how Sam Becket never returned home either.  I think the producers didn’t have to put that in – although it did add to the sad closing. Anyway, hope this inspires someone as it did me:

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Anyway, I brought this up because I recently saw someone on Facebook ask why 0!=1.  Having forgotten myself, I looked around a bit and found some well-worded explanations to remind me (oddly enough, the person who explained why x^0 = 1 did a poor job at explaining why 0!=1, so that’s why I only include his explanation of x^0=1 and not his explanation as to why 0!=1).

Just thought I’d share in case anyone was as fascinated by numbers as I was.  Oh, and I should also note.  At UCLA, learning the application of these seemingly inapplicable truths was really quite exciting for me (yeah, I’m a nerd).  But these days, I’m less interested in the application of mathematical truths in the world as we see it but the application of biblical truths in the areas we can’t see (i.e., the heart, the mind, the spirit).  Anywho … here are the two well-worded explanations (in my opinion) for those nerds-at-heart:

Why x^0=1

=========

0! = 1 for reasons that are similar to why x^0 = 1. Both are defined that way. But there are reasons for these  definitions; they are not arbitrary.

You cannot reason that x^0 = 1 by thinking of the meaning of powers as “repeated multiplications” because you cannot multiply x zero times.  Similarly, you cannot reason out 0! just in terms of the meaning of factorial because you cannot multiply all the numbers from zero down to 1 to get 1.

Mathematicians *define* x^0 = 1 in order to make the laws of exponents work even when the exponents can no longer be thought of as repeated multiplication. For example, (x^3)(x^5) = x^8 because you can add  exponents. In the same way (x^0)(x^2) should be equal to x^2 by  adding exponents. But that means that x^0 must be 1 because when you  multiply x^2 by it, the result is still x^2. Only x^0 = 1 makes sense here.

Why 0!=1

========

In general any factorial number (call it n!), may be written,

n! = n x (n-1) x (n-2) x (n-3) x … x 2 x 1

This is the general definition of a factorial number.

If you want it in words; a factorial number is the product of all positive integers from 1 to the number under consideration.

The main place it is likely to be encountered is when considering those groups and arrangements of objects mentioned above.

So where does all this 0! stuff fit in?

Nobody has trouble in stating 2! = 2 x 1 , or even that 1! = 1, but 0! appears to make no sense.

It does however, have a value of 1. This is rather counter intuitive but arises directly from our general definition.

n! = n x (n-1) x (n-2) x (n-3) x … x 2 x 1

Notice this may be written,

n! = n x (n-1)! Still exactly the same definition.

If the left hand side (LHS) = the right hand side (RHS) then dividing both sides by n should leave them still equal, so it is still true to write,

n!/n = n x (n-1)!/n

The (n-1)! in the RHS is being both multiplied by n and divided by n. These cancel leaving,

n!/n = (n-1)! If you doubt this, try it with real numbers, e.g. 4!/4 = 3! or (4 x 3 x 2 x 1)/4 = 3 x 2 x 1 = 6

The equation we now have is,

n!/n = (n-1)!

It is still our original definition in are arranged form. For convenience I shall write it the other way round.

(n-1)! = n!/n

We also said that our factorial uses the positive integers 1 and above. Try the value of n=2 in our rearranged formula and we get,

(2-1)! = 2!/2 or 1! = 2×1/2

The RHS calculates to 1, so we have the statement 1!=1That is what we guessed intuitively above. It is now confirmed. But look what happens when we substitute the legitimate value of n=1 in our formula.

(1-1)! = 1!/1

Evaluating this statement gives

0! = 1!/1

We have just shown 1!=1 so the RHS is 1/1 or 1.

Anywho … on to today’s thought: It’s much easier to go down a slide than to climb the ladder that gets you to the top.

Um … so (without preaching), I was basically just thinking recently about how good things (aside from those received by grace) come through hard work and toil.  And, while we may enjoy working (doing something) to some extent, most would rather just play around and just have fun.  But honestly, while the “slide” might be fun, exhilarating (etc.), in most cases going down is a bad thing.  Maybe “falling” is a better word to describe what I’m trying to say.  Meanwhile, going up is almost always a good thing (though it requires more sweat and labor).

Sorry, I’m typing this while chatting with people so I’m not focusing too well.  Wonder if the brevity and quickness with which I type these will make me sound like someone with disorganized and superficial thoughts.  Might be shooting myself in the foot.  I mean, at this rate I might type something that will bite me later.  =)  Oh well, might as well post this one since I’ve written it already.

Maybe I should switch to Thought of the Week. =)

Thought for today.  About being methodical.  I think it’s easy for any of us to just go each day without a clear aim.  Just taking care of what comes along.  Just doing stuff.  I don’t know how to describe it better.  But, I suppose I should skip to the point.  Each day we should be strategic, methodical.  Know clearly what our goals are for the day.  Know clearly what our goals are for the week, and then move forward to executing them.  Reminds me of what the late John Wooden had said – “Make each day your masterpiece.”  Also, I am reminded of something Michael Hyatt (CEO of Thomas Nelson) had said – … well, I can’t quote it exactly, but he basically said … or just a sec.  Let me find the actual quote so I don’t slaughter the message.  =)

…

OK.  Nevermind.  I couldn’t find it.  Starting to wonder now if it was really Hyatt who said it. Anyway, the advice was to not end up just doing what others present as important, but to do what you determine to be important.  I, for example, get a lot of requests for this or that to be done. And often times it takes away from what I need to do.

OK, this entry is starting to get long and disorganized.  Ironic considering the topic.

So – to get to the point:  Make your goals clear.  And go after them! =)

(this post was really, really, really ironic)

And one more thing:  Stay away from bunny trails.  Might get you lost.  =)

(although I should mention that this will be, at best, a M-F thing)

To illustrate, I talked about “Karate Kid,” the movie.

I assume everyone has watched this, but for those who didn’t, the part I’m referring to is when Daniel goes to Mr. Miyagi seeking to learn karate from him.  Mr. Miyagi agrees, but tells Daniel that he has to follow everything he says – no questions asked.  Daniel agrees.

And well, I’ll let the videos (below) tell the rest of the story:

Lesson 1: Wax On, Wax Off

Lesson 2: Sand the Floor

Lesson 4: Paint the Fence

Conclusion:

http://finance.yahoo.com/news/How-to-Live-Happily-on-75-usnews-2822136231.html?x=0&.v=1