I’m just recovering from an unknown spiritual experience. Really think it shows the love of God in humans; may I be humble in saying myself.
It’s not every time one hears funny stories from Africa that one shivers but really there are funny stories from Africa. They really have some devious science, yet one wonders why they do not know how to apply their science?
The experience taught me some lessons:
1. Life is more precious than one can imagine it.
2. Every day is to be lived and enjoyed. Forget about tomorrow, for tomorrow have their own anxieties.
3. The failures of yesteryears should be the cause of joy for preparing successes for our tomorrows.
I just went through an awesome spiritual experience and it taught me the awesomeness of God.
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Even the Mona Lisa smiles behind the blackboard.
Beauty that is rare like a painting of the Mona Lisa can be found behind the blackboard, in front of a mathematics equation.
I had the “Oh my, what beauty!” experience while solving a well worn mathematics problem a new way. The problem: simultaneous equations in two or more variables.
I’m sure you do remember the age-old technique of solving simultaneous equations in two unknowns.
First, chose one of the variables as the one to exterminate. Multiply both equations, numbered of course, by suitable coefficients so that the variable that will be exterminated becomes the same in coefficients. You then subtract one from the other, giving you an equation in a unique unknown. Finally, you solve the unique unknown. Your answer for this single unknown can then be used to find the second unknown variable using one of the simultaneous equations as template.
Hmm! Very long process that!
Matrices is easier. That is where the beauty lies. Take the value of the second order determinants for the two unknowns; call this the raw determinant. For each unknown, replace the column for that unknown by the column for solution to the equations. Take the value of the determinants for each unknown whose column has been substituted. Then to get the value of that unknown, divide the value of the determinants for the substituted column by the raw determinant.
Easier. Faster. More energy efficient.
Don’t believe the above line until you get equations of more than two unknowns. I saw the Mona Lisa smiling behind the blackboard and it was a matrix blackboard with blue markers.
I’ll be taking calculus with my students tomorrow.
I had the “Oh my, what beauty!” experience while solving a well worn mathematics problem a new way. The problem: simultaneous equations in two or more variables.
I’m sure you do remember the age-old technique of solving simultaneous equations in two unknowns.
First, chose one of the variables as the one to exterminate. Multiply both equations, numbered of course, by suitable coefficients so that the variable that will be exterminated becomes the same in coefficients. You then subtract one from the other, giving you an equation in a unique unknown. Finally, you solve the unique unknown. Your answer for this single unknown can then be used to find the second unknown variable using one of the simultaneous equations as template.
Hmm! Very long process that!
Matrices is easier. That is where the beauty lies. Take the value of the second order determinants for the two unknowns; call this the raw determinant. For each unknown, replace the column for that unknown by the column for solution to the equations. Take the value of the determinants for each unknown whose column has been substituted. Then to get the value of that unknown, divide the value of the determinants for the substituted column by the raw determinant.
Easier. Faster. More energy efficient.
Don’t believe the above line until you get equations of more than two unknowns. I saw the Mona Lisa smiling behind the blackboard and it was a matrix blackboard with blue markers.
I’ll be taking calculus with my students tomorrow.
The fear that is the Real Fear
Sometimes I hear the word fear and think: what does it mean to be afraid.
I see fear as being of two types:
1. Being afraid of punishment.
2. Being afraid because you regard it as a duty to do the right thing or for conscientious reasons.
I was thinking about this recently. I wonder why so many persons think people would turn to crime except for the first fear: that they might end up in jail when caught. I believe that so many persons have the second fear and the second fear should be the right kind of fear. It is a fear that is demonstrated both in private and public. The first kind, that fear is destructive; it is demonstrated only in public, in the eyes of the public while in private, this fear makes you self-destruct or destroy other persons or property.
What kind of education would make men exercise the second creative kind of fear?
Wondering. It would an exceptional kind of education. Would there be any benefits, adaptive, financial, emotional and physical exhibiting the second creative kind of fear where the world tends towards the first while manifesting tendencies of game theory? It would involve so much sacrifice but that is what is needed to build a complete individual.
I see fear as being of two types:
1. Being afraid of punishment.
2. Being afraid because you regard it as a duty to do the right thing or for conscientious reasons.
I was thinking about this recently. I wonder why so many persons think people would turn to crime except for the first fear: that they might end up in jail when caught. I believe that so many persons have the second fear and the second fear should be the right kind of fear. It is a fear that is demonstrated both in private and public. The first kind, that fear is destructive; it is demonstrated only in public, in the eyes of the public while in private, this fear makes you self-destruct or destroy other persons or property.
What kind of education would make men exercise the second creative kind of fear?
Wondering. It would an exceptional kind of education. Would there be any benefits, adaptive, financial, emotional and physical exhibiting the second creative kind of fear where the world tends towards the first while manifesting tendencies of game theory? It would involve so much sacrifice but that is what is needed to build a complete individual.
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