remaining patience
The remainder theorem states, that if an algebraic expression f(x) is divided by a linear factor ax - b, the remainder R= f(b/a), where x is substituted by (b/a).
For example, when x² + 2x +2 is divided by x + 1, the remainder R is (-1)² + 2(-1)+ 2 = 1.
Moreover, the division process can be written in reverse into a multiplication identity:
f(x) = (ax -b)Q(x) + R
where Q(x) is the quotient.
so if x = b/a, (ax-b) = 0, so f(x) = R. Hence the Remainder Theorem.
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I could still recall the Great Deportation of 2004. A certain institution deported many of its students for achieving below the minimum required results. Some thought that this was cruel; some agree that this is the only way to ensure our institution's achievements.
Others asked me for opinions. I recalled saying, " It is not the results that is the most important, but the attitude." Though most agree that the deported ones seem to lack both, there are some who could use some salvation.
Years passed, yet the situation remained. I tirelessly tried to feel compassion for people, trying to understand their actions. My compassion has repeatedly been interpreted as leniency, and this leniency misinterpreted as a weakness. I feel a deep sense of remorse.
I'll declare this here and now: When the time comes, the docile writer will draw his weapon, and slay all who stands in his way. With reason on his left, and faith on his right, he will stand victorious.
Thus spoke Lowbeam.
For example, when x² + 2x +2 is divided by x + 1, the remainder R is (-1)² + 2(-1)+ 2 = 1.
Moreover, the division process can be written in reverse into a multiplication identity:
f(x) = (ax -b)Q(x) + R
where Q(x) is the quotient.
so if x = b/a, (ax-b) = 0, so f(x) = R. Hence the Remainder Theorem.
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
I could still recall the Great Deportation of 2004. A certain institution deported many of its students for achieving below the minimum required results. Some thought that this was cruel; some agree that this is the only way to ensure our institution's achievements.
Others asked me for opinions. I recalled saying, " It is not the results that is the most important, but the attitude." Though most agree that the deported ones seem to lack both, there are some who could use some salvation.
Years passed, yet the situation remained. I tirelessly tried to feel compassion for people, trying to understand their actions. My compassion has repeatedly been interpreted as leniency, and this leniency misinterpreted as a weakness. I feel a deep sense of remorse.
I'll declare this here and now: When the time comes, the docile writer will draw his weapon, and slay all who stands in his way. With reason on his left, and faith on his right, he will stand victorious.
Thus spoke Lowbeam.