Exercise 2: Sum of diameters of Infinite Circles - Hive - YouTube - Notes - Playlist - Sequences and Series

In this video, I show that the sum of diameters of an infinite number of circles contacting between two big circles sums to the radius of the bigger circles, thus providing a geometric interpretation of the series with terms 1/(n(n + 1)). I first use the trigonometric identity to obtain an equation involving the diameter of the smaller circles, and then use mathematical induction (as well as my previous telescoping sum result) to show that the diameter of subsequent small circles is identical to the series terms.

#math #calculus #series #circle #education

Hutchison Effect: 19 lb bushing levitates with linearly increasing acceleration – "Hyperforce” - Screenshots - YouTube - Playlist (Hive)

In this video, I go over the famous 19-lb bushing Hutchison Effect levitation footage, which, when analyzed frame-by-frame, demonstrates a unique linearly increasing acceleration. This analysis was first done by George Hathaway in his book Mindbending, which Thomas Valone later coined the phrase "hyperforce" to describe it. Compare this with the force of gravity, which is constant. Note that Hathaway's results were obtained by taking derivatives of the position trendline, which was modelled as a cubic function. I compare these derivatives with direct measurements from the position data and obtain similar results. Note also that the 3rd derivative of position, or 1st derivative of acceleration, is termed jerk or jolt.

#HutchisonEffect #antigravity #acceleration #technology #physics

Alleged 9/11 Pentagon first responder and certified disinfo spook Adam Eisenberg discusses the 25 rules of disinformation and brings up a good point about the propaganda strategy of getting victims and their families to support your cause, and then parade them around to shame people into supporting your cause. Does this remind you of anyone in particular???...... 👀👀👀

Note also the disinfo nonsense that Adam slips in about people shouldn't focus on the Towers (turning literally to dust in mid-air) but rather on "suspects", aka a literal YouTuber Lee Wheelbarger that is in my comment section saying Adam is a fraud that doxxed him and his family... 😮

• Hive

Trump makes "peace" deal with Hamas (after Israel bombs Gaza to pieces) and Russia bombs Ukrainian gas stations #WW3 😦

Introduction to the Integral Test and Estimating Sums of Infinite Series - Hive - YouTube - Notes - Playlist - Sequences and Series

In this video, I go over an introduction into estimating sums of series by examining whether their corresponding improper integrals converge or diverge, thus providing the basis for the Integral Test. Often times, there is no exact formula for the sum of a series, so we need to obtain ways of estimating their sums.

#math #calculus #series #integral #education