What Happens When Everyone Is Supposed to Believe the Same

However small, however modest, however tentative this may be, it will perpetually give rise to contests and divisions.  And this quest of a common denominator in contrasting convictions can develop nothing but intellectual cowardice and mediocrity, a weakening of minds and a betrayal of the rights of truth. (Jaques Maritain, True Humanism, Bles, 1938, p. …

Fading Glory

Next month, Lord willing, I start the second year of my PhD adventure in Computational Engineering.  "Adventure" is a good way to describe it, especially in my superannuated state.  In the midst of getting the coursework started last fall (yes, Europeans, sad to say we have coursework with PhD programmes) we had a "freshman" orientation. …

Frederick Gere and Milton Williams: The Winds of God

Century 27269 (1965) For those of you who survived the 1960's folk Mass scene, some questions: did you ever wonder how "Kumbayah" became emblematic of people sitting around, holding hands?  Or why Michael had to row the boat ashore when technology of the time had outboard motors (as depicted on the right)? Or why, with …

The Importance of Keeping the Riff-Raff Out

Club memberships have been a part of my family tradition since the Gilded Age.  Although it isn't one of our more prestigious memberships, my business membership in Sam's Club is doubtless one of the more useful.  One of the nice perks with such a membership is the ability to get in and get your shopping …

It's Always Something with a House of Worship, and That Includes a Synagogue

Temple Emanu-El and the Town of Palm Beach go to the mat on another absurd "code violation": Temple Emanu-El must reduce the number of seats in its auditorium by more than half, or obtain Town Council approval for the 542 seats that it has. In a July 12 code violation notice, the town informed the …

They Love to Feel the Whip

One of the most ill-starred love stories of the last century was that of Tsar Nicholas II of Russia and Tsarina Alexandra.  Neither was equipped by temperament or upbringing to lead an absolute monarchy into World War I.  Nicholas was a weak-willed heir thrust into his role prematurely and unwillingly by the death of his …

Error Function for an Hermite Polynomial

Our goal is to demonstrate that, for the Hermite polynomial $latex H_{2n+1}(x)=\sum_{j=0}^{n}f(x_{j})H_{j}(x)+\sum_{j=0}^{n}f'(x_{j})\hat{H}_{j}(x) $ where $latex H_{j}(x)=[1-2(x-x_{j})L'_{j}(x_{j})]L_{j}^{2}(x) $ $latex \hat{H}_{j}(x)=(x-x_{j})L_{j}^{2}(x) $ the error function is given by the equation $latex f(x)-H_{2n+1}(x)=\frac{f^{\left(2n+2\right)}\left(\eta\left(x\right)\right)}{\left(2n+2\right)!}\overset{n}{\underset{j=0}{\prod}}\left(x-x_{j}\right)^{2} $ where $latex f\in C^{2n+2}[a,b] $ Let us begin by considering a point $latex \hat{x}\in[a,b]$ where $latex \hat{x}\neq x_{j}$, i.e., it is not equal to …

Preventing the Anglican Revolt in the Church of God: The Obvious Rationale Behind Agenda Item #18

As I mentioned earlier, the Church of God will convene its General Assembly next week in Orlando.  The agenda is out and posted. Most church meeting agendas like this are full of arcane items that may be very weighty to those whom they directly impact but of little relevance to everyone else, even for general …

Stability of Back Substitution for Matrix Systems

The objective is to show that back substitution is backward stable.  Consider the system $latex Rx=c $ where $latex R$ is an upper triangular $latex m\times m$ matrix and $latex x,c$ are $latex m$ column vectors. For a $latex 3\times3$ matrix system, this would look like: $latex \left[\begin{array}{ccc} r_{1,1} & r_{1,2} & r_{1,3}\\ 0 & …

Barack Obama and Small Business: They Wouldn't Get Very Far Without Us, Either

Things are getting very deep out there: President Barack Obama addressed supporters in Roanoke, Virginia on Saturday afternoon and took a shot at the business community. President Obama dismissed any credit business owners give themselves for their success: There are a lot of wealthy, successful Americans who agree with me -- because they want to …

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