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Riemann Sum Definition

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The 'W' Word (Witch), What Does it Mean?
The other day I sat down and again tried to define what it is that I am doing. We are talking about beginning our church next year, but a church of what? I am the type that is most comfortable with a clear and complete understanding, so I began at the...
Religions >> Paganism & Wicca
Aspects of Religion: A Wiccan Viewpoint
Among early Pagans, religion was a fact taken for granted, "requiring no explanation." There was no need to define religion because religion was a part of each persons being. "We have not yet encountered in Egyptian and Babylonian literature a...
Religion & Philosophy >> Religions
Religions >> Paganism & Wicca
What is Hypnosis?
Hypnosis refers to just about any situation where we respond to verbal suggestions in a particular special way. This involves a mentally very flexible condition where our imagination and fantasy are more free and more vivid. A series of instructions, called...
Parapsychology >> Hypnosis
Hyperspace Reality
Despite the fact that the 'new' physics, a godchild of the Einsteinian revolution has taught us that the Universe we perceive is a mere shadow of a vastly more unpredictable one, most of us still view the world in a distinctly materialistic way. A world where...
Modern Science >> New Physics
Wiccan Mysteries
My best friend asked, "So explain this Wiccan Mystery to me about drums". Now I have never equated the term Wiccan Mystery and drums together before. I have been working on some Mysteries this week, coincidentally. Actually, some of the God...
Religions >> Paganism & Wicca
The World Mind and Consciousness (GM4)
Few would argue the fact that today's world is literally permeated with conflict at every level of society. Yet the governments and institutions of the world are, for the most part, unable to alleviate the pain and fear that is increasing among us. Most...
Mind >> World Mind

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If dy goes to zero faster than dx goes to zero then the ratio is well defined and finite. Just make sure you know what ... BTW, when you are using the Riemann sum to ascertain the area under the curve, N-> infinity as dx ->0.
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Everything You Ever Wanted To Know About Pi, Part 3: The Area Of A Circle
The constant π is traditionally defined as the ratio of a circle's circumference to its diameter. As I pointed out in the first installment of this series, the fact that this is well-defined (i.e.

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