MES Livestream 1: Face Reveal + Answering Subscriber Comments
This is my first time doing a livestream, so bare with me as I try to figure it out haha I've been getting a lot of comments, messages, and emails asking questions from everything from math questions to 9/11 to Maui (DEW?) fires. It's hard to keep up with all the comments, so I thought I will try livestreaming and answering questions live on air instead. Let me know what you think!
Related Videos:
MES Livestreams: https://www.youtube.com/@mes/streams .
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Problems Plus 21: Finding the Solutions of a Maclaurin Cosine Series
In this video I find the solutions of an infinite Maclaurin cosine series when it equals to zero. Although we aren't given that the series is a Maclaurin cosine series, we can see this to be the case by looking at our table of common Maclaurin series and replacing the x terms with -x^2. Given the periodic nature of the cosine function, we get an infinite number of solutions as a function of any given integer. I also include an important note at the end of the video about keeping track of the negative signs when transforming functions, something that my Calculus book solutions manual forgot to do!
The timestamps of key parts of the video are listed below:
- Problem 21: 0:00
- Solution: Case where x ≥ 0 is not a solution: 0:31
- Maclaurin series for cos x : 1:24
- Solutions for cos x = 0: 4:54
- Solutions for f(x) = 0: 7:38
- Note on the Solutions Manual: 9:32
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Problems Plus 20: Sum of Infinite Series Equals ln 2. Amazing!
In this video I go over a pretty amazing infinite series and show, after an extensive math proof, that it equals to ln 2. The series is sum of the infinite terms that follow the pattern 1/(1*2) + 1/(3*4) + 1/(5*6) + ... etc., and somehow this equals to the simple answer of ln 2 or natural log of 2. While the proof is complicated, fortunately the problem has 4 parts to provide the steps to solving for the proof. The steps involve writing a geometric series as an integral and then determining an inequality from solving the definite integral from x = 0 to x = 2 which includes ln 2 in the result. Rearranging the inequality and we obtain our final answer of ln 2. Amazing stuff!
The timestamps of key parts of the video are listed below:
- Problem 20: 0:00
- Solution to (a): 1:48
- Solution to (b): 6:55
- Solution to (c): 11:54
- Solution to (d): 20:44
- Final answer: Sum of series is ln 2: 25:52
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Problems Plus 19: Sum of Inverse Tan Series Using Exact Trig Ratios
In this video I go over the sum of an infinite series that can be solved by noting it is just the Maclaurin series for inverse tan for the angle π/6. Using exact trigonometric ratios, by splitting an equilateral triangle and applying the Pythagorean Theorem, I show that tan(π/6) = 1/sqrt(3). This means that the inverse tan or arctan(1/sqrt(3)) = π/6. Plugging this value into our earlier Maclaurin series for tan(x), we obtain a formula that includes are given series in the Problem, which we can solve fairly easily.
The timestamps of key parts of the video are listed below:
- Problem 19: 0:00
- Solution: Maclaurin series for arctan(x): 0:19
- Exact trig ratios triangle for tan(π/6) 2:45
- Series for arctan(1/sqrt(3)): 5:19
- Alternate form of the solution: 12:40
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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✈️#911Truth Part 24: LET ME KNOW WHEN YOU SEE FIRE by RealityAXIS
In #911Truth Part 24 I present the radio communications of firefighters inside WTC 2 South Tower during the final 11 minutes before the tower's final destruction sequence on 9/11, which show there were barely any office fires anywhere in the building. Numerous injured survivors were found throughout the building, including the 78th floor, which was right inside the impact zone. The WTC 2 impact was on 9:02:59 AM between the 77th and 85th floors, and was followed by 56 minutes of heavy fuming or dustification until it's ultimate demise. The rescue crew did not experience these heavy fumes inside the building, and the structural integrity of the building was still in tact within at least 1 minute before the Tower's fall. These radio communications are one clearest pieces of evidence that debunk the mainstream narrative of imaginary "office fires creating a towering inferno of sustained heat required to weaken the structural integrity of steel to the point of collapse".
The original video was produced by Richard Shinn in 2010 and narrated by his father Major Reginald Shinn US Airforce (retired). At the time, Richard Shinn was doing video production for the controlled opposition group Architects & Engineers for 9/11 Truth (AE911Truth) and realized they were liars 4 months before publishing his video on their channel. Richard discovered the work of Dr. Judy Wood and that AE911Truth were actively covering up her work while presenting "explosive disinformation" which is easily debunked by the mainstream liars. Richard told me that AE911Truth published his video only after he included the words "collapse" and the call for a "new investigation". I have thus removed those parts of the videos, as well as adding my voice over work and footage of the South Tower turning to dust from start to finish, including at 45X speed. I have also aligned the dustification footage with the countdown timer to better illustrate where rescue crews were in their last few moments of life...
Links to the original video and Richard Shinn's new RealityAXIS channel are listed below:
- Original video on AE911Liars channel: https://youtu.be/hT-po-tmJRc
- Richard Shinn has coined the phrase "Architects for an Engineered 9/11 Truth".
- Richard Shin's new RealityAXIS channel where he has uploaded new videos on the material specific dustification process on 9/11: https://www.youtube.com/@realityAXIS
- Major Reginald Shinn on Military Alert's SOS group: https://militaryalert.org/
- Reginald passed away on February 2, 2012 in Sacramento, California at the age of 92: https://firearmscoalition.org/maj-reginald-shinn-rip/
The timestamps of key parts of the video are listed below:
- Firefighters radio communications from 11 minutes until WTC 2's fall: 0:00
- "Let me know when you see fire": 0:23
- Narrated by Major Reginald Shinn: 0:33
- WTC 2 impact between the 77th and 85th floors: 0:51
- WTC 2 dustification at 45X speed: 1:05
- New York City firefighter radio communications, continued: 2:06
- Summary of the audio evidence: 2:15
- Injured people on the 70th floor: 3:39
- Mainstream narrative has imaginary "office fires" scenario: 4:18
- 236 steel columns on the perimeter, and 47 central core columns: 4:53
- 2 isolated pockets of fire, and numerous "10-45" Code Ones (deceased or injured persons) on the 78th floor: 6:32
- Less than 3 minutes of life remaining for the heroes and victims: 10:00
- End of radio communications with under 2 minutes remaining: 11:02
- If you understand this, it's your responsibility to get involved!: 11:07
- MES Note: Richard and Reginald Shinn became aware of Dr. Judy Wood's research: 11:58
- Dustification process ramps up with 37 seconds until fall: 12:19
- Final destruction sequence: 12:57
- WTC 1 (and most of the WTC complex) continues to dustify at 45X speed: 13:25
Stay tuned for #911Truth Part 25...
- HIVE video screenshots: https://peakd.com/hive-113182/@mes/911truth-part-24-let-me-know-when-you-see-fire
Related Videos:
#911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh and https://peakd.com/truth/@mes/911
9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh
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Problems Plus 18: Finding the Center of a Polygonal Spiral
In this video I solve for the center of a polygonal spiral that is constructed by drawing a line connecting, at first, the midpoint points of the sides of a square and then connecting the midpoints of the previous lines forming an infinite spiral. I then use mathematical induction to prove the given formula for the x terms, and do the same for similar y terms. Taking the limit as n approaches infinity, I show am able to determine the center of the polygonal spiral. Truly amazing stuff!
The timestamps of key parts of the video are listed below:
- Problem 18: Polygonal Spiral: 0:00
- Solution to (a): Equation for x terms: 2:24
- Using mathematical induction: 6:52
- Summarizing all the induction terms: 16:43
- Similarly, we can solve for the y terms: 19:45
- Solution to (b): Solving for the x coordinate at infinity: 23:00
- Solving for the y coordinate at infinity: 27:44
- Final answer: Coordinates at infinity: 28:58
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Problems Plus 17: Integral of x^x
In this video I go over the integral of x^x from x = 0 to x = 1 and show that it is equal to a power series. Some integrals, such as that for x^x, don't have simple solutions and so we have to resort to writing them out in power series; in fact this is how calculators solve most integrals! I start off by rewriting x^x as an exponential function by utilizing log rules involving the natural log, namely converting x^x to e^(x lnx). From here we can modify the power series for e^x, and after several integrals using term-by-term integration, as well as integration by parts, we can notice a pattern to finally solve the integral. The result is now a basic power series. Truly amazing stuff! Note that in this integration, I defined 0^0 = 1.
The timestamps of key parts of the video are listed below:
- Problem 17: Integral of x^x 0:00
- Solution: Converting x^x to a power series:37
- Integrating power series term-by-term: 5:18
- Integration by parts: 6:30
- Taking the limit for integral involving natural log: 10:09
- Applying L'Hospital's Rule: 16:46
- Applying Integration by parts again to notice a pattern: 25:12
- Putting the integral all together: 33:54
- Integral of x^x as a series starting from n = 1 (ignore the n = 0 typo): 36:52
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Problems Plus 16: The Number e Defined as a Recursive Series
In this video I go over a pretty amazing math problem on finding the sum of a series that is defined by a simple recursive formula, and it somehow turns out to be the number e! A recursive function is such that it depends on a previous version of itself, hence each new iteration modifies the previous value before it. In this problem, a sequence is defined recursively and by using the principle of mathematical induction, I show that as the series approaches an infinite number of terms the sum of the series approaches the number e. Truly amazing stuff!
The timestamps of key parts of the video are listed below:
- Problem 16: Recursive Sequence: 0:00
- Solution: 0:56
- Mathematical induction: 6:45
- Solving for the general case: 7:52
- Series is equal to the number e: 14:05
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Problems Plus 15: Packing Infinite Circles Inside an Equilateral Triangle
In this video I determine the limit that the area of an infinite number of circles that can be packed inside an equilateral triangle. I represent this area as a ratio of the area of the circles divided by the area of the triangle. To solve this problem, I first determine an expression for the radius of the circles in terms of the length of the triangle. I then count up the number of circles, and determine the equation of the area of n circles. Then, I plug in the length of the triangle as a function of the triangle's area. This then obtains a division of the area of the circles divided by the area of the triangles. Taking the limit as n, the number of rows of circles, approaches infinity, we then obtain the limit we were asked to find. Truly amazing stuff!
The timestamps of key parts of the video are listed below:
- Problem 15: Packing infinite circles inside an equilateral triangle: 0:00
- Solution: Area of an Equilateral Triangle: 1:24
- Area of the circles: 4:34
- Length in terms of 4 radii: 8:48
- Length in terms of n radii: 10:16
- Solving for radius in terms of the length: 13:06
- Counting the number of circles: 13:44
- Total area of the circles: 15:20
- Limit of area of circles divided by area of triangle: 20:02
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Problems Plus 14: NEXT LEVEL Algebraic Manipulation for a Division of 2 P-Series
In this video I solve the division of two p-series and perform some truly amazing algebraic manipulations to simplify and solve the problem. I start off by realizing that the division involves absolutely convergent 2 p-series since p is greater than 1. If a series is absolutely convergent than it is also convergent, that is the alternating positive and negative signs won't affect the convergence. I perform some truly amazing algebraic manipulations on the top series to get it in the form of the bottom one, and which results in obtaining our starting expression. After some cancellations, we can then obtain a final simplified answer. Truly amazing stuff!
The timestamps of key parts of the video are listed below:
- Problem 14: 0:00
- Solution: 0:46
- NEXT LEVEL algebraic manipulation: 2:42
- Final answer: 11:31
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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9/11 20th+ Anniversary Verse by Check The Evidence
In this video I have uploaded an updated and upscaled 1080p version of the 2021 9/11 anniversary poem written by Evan Denton and presented by Andrew Johnson from Check The Evidence. The original video was in 480p and many of the Power Point slides used were blurry. I have replaced this with HD images, and have also replaced the original dustification videos with my own, namely Part 23 North Spire turning to dust, and Part 8 North Tower turning to dust at 45X speed. The poem and music provide a chilling and motivational reminder of what happened on 9/11 and the importance of keeping this knowledge fresh in our minds. And this is more important now then ever before...
The original video, music used, and Power Point Presentation slides are listed below:
- Original video: https://youtu.be/thm7YoTnhy4
- The Signs - by Chi & Aether Music
- Power Point Slides: https://1drv.ms/f/s!As32ynv0LoaIiqNofKw9lwH_hlPbYQ
The full poem is shown below:
It happened twenty years ago,
Lest we forget, but did you know…
What actually happened on that day?
Yes of course, most folk will say.
And now for the anniversary,
They’ll broadcast programs on TV.
Go watch them if that’s your cup of tea,
And if you’re into fantasy.
But for those of you not quite brain dead,
I advise you watch this instead…
This preso by Dr Judy Wood,
The first one who really understood,
And pieced it together at her pace,
Resulting in a Qui-tam case,
Unlawfully dismissed by the court,
Not because evidence fell short.
So if you’re sitting on the fence,
Suggest you check the evidence.
Conventional physics can’t explain,
And neither can an aeroplane.
The towers didn’t collapse per se,
But turned to dust that blew away.
The debris pile was way too small,
With nothing recognizable at all.
The "bathtub" structure did not break,
The seismic signal was barely a shake.
And perhaps most amazingly,
Were the survivors in Stairwell B,
While others completely disappeared,
And this is where it gets weird…
Glowing stuff that ought be hot,
But without heat, it was not.
Melting boots but no burnt feet,
And cars exploding down the street,
And other cars a block away,
Got a toasting too that day.
And some cars, without clear causation,
Flipped over as if by levitation.
What caused the cars to become toast?
Was it Erin parked off the coast?
And what about Earth’s magnetic field?
The full truth will remain concealed.
Though other things can be ruled out,
And conclusions made without a doubt.
Kinetic energy was not to blame,
Nor thermite as some clowns will claim.
The technology at play that day,
Is often regarded as hearsay.
Mainstream science, no surprise,
Tends to ignore and mischaracterize,
And blindly follow consensus thought,
By institution, paid and bought.
Opposing facts are forbidden,
To ensure the truth remains hidden.
Heroes of the alternative scene,
Like Dr Mallove, the late Eugene,
Pons and Fleischmann, John Bockris too,
And Hutchison and Tesla to name a few,
Have all stumbled across this science,
Thanks in part to noncompliance.
So if you don’t know about this stuff,
Refrain from watching mainstream guff.
Listen to Dr. Wood instead,
And your perception will be put to bed.
The timestamps of key parts of the video are listed below:
- 9/11: 20+ Years On: 0:00
- WTC 1 North Tower Spire turning to dust: https://youtu.be/wJazsgxeuFc: 2:57
- North Tower turning to dust, 45X speed: https://youtu.be/cDoWaaXv27A: 3:33
- Parking lot cars toasted before and after photos: 4:21
- Reviews of Where Did The Towers Go book: 5:07
- Toasted cars before and after photos: 5:17
Related videos:
- 9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh
- #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh and https://peakd.com/truth/@mes/911 .
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Problems Plus 13: Volume of an Infinite String of Beads
In this video I determine the volume of an infinite string of beads formed by rotating an exponential and trigonometric function about the x-axis. The presence of the sine trig function means that the resulting 3D solid shape has nodes with a value of 0, hence forms what appears to be beads on a string. I first use the formula for disks to determine the volume of one bead, and then use an online integral calculator to solve the resulting volume integral. To calculate the total volume of the infinite number of beads, I do so using 2 methods. The first is simply expanding out the series and realizing it has a telescoping sum, which obtains our answer. The second method involves rewriting the volume of the n-th bead in the form of a Geometric Series, and I show that it is convergent and hence we can plug in our geometric series sum formula to obtain the total volume. I also play around with the amazing GeoGebra graphing calculator and discuss how to graph in 3D using the formula of a circle and our given function as the radius. Epic stuff!
The timestamps of key parts of the video are listed below:
- Problem 13: Rotating a curve to form a 3D string of beads: 0:00
- Solution to Part (a): Volume of the n-th bead: 1:01
- Graphing in 3D with GeoGebra Graphing Calculator: 1:49
- Formula for disks: 6:27
- Using an online integral calculator: 11:19
- Solution to Part (b): Total Volume of Beads: Method 1: Telescoping Sum: 17:36
- Method 2: Geometric Series: 23:48
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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169
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Problems Plus 12: Can You Stack Books Infinitely Far Away from the Table?
In this video I go over the famous Book Stacking Problem, and show that it is possible to stack books that extend infinitely far away from the table! To do this you have to stack such that the first book extends 1/2 from the second book which extends 1/4 from the third which extends 1/6 from the 4th, and so one. Then the center of mass of the stack of books can be determined and shown to be still above the table, which means the books won't tip over. Lastly, I show that the series of distances 1/2 + 1/4 + 1/6 + ... etc. is a divergent Harmonic series, which means that the distance keeps extending out to infinity as we add more books. Try this yourself and let me know how many books, or playing cards, you can stack up!
The timestamps of key parts of the video are listed below:
- Problem 12: Book Stacking Problem: 0:00
- Solution: Book extending completely off the table: 1:57
- Center of mass of the stack of books: 7:20
- Center of mass doesn't extend past the table: 17:02
- Books can extend infinitely far via the divergent Harmonic series: 18:42
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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170
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Problems Plus 11: Solving Log Series Using a Telescoping Sum
In this video I go over an infinite series that involves natural logarithms and can be solved by rearranging it into a form that allows for a Telescoping Sum to be applied. Recall that the Telescoping Sum is such that an infinite series has all terms cancel out except the first and the last term. When we rearrange, using log rules, the series, we see that it can be rewritten into terms whose individual terms are separate by an integer; which means they will cancel out with each successive series addition. Truly remarkable stuff!
The timestamps of key parts of the video are listed below:
- Problem 11: 0:00
- Solution: Simplifying using Logarithm Rules 0:18
- Telescoping Sum: 6:11
- Sum is - ln 2: 10:29
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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184
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Problems Plus 9: Taking Multiple Derivatives of the Geometric Series
In this video I go over the sum of an infinite series that involves taking multiple derivatives of the Geometric Series. Starting off with the Geometric Series for x^n, we can apply the derivative to it for its radius of convergence, as derived from my earlier video on Power Series. When taking derivatives, the Radius of Convergence remains the same but we still have to determine the endpoints separately. The series with the terms (n^3)x^n has a radius of convergence equal to 1 and diverges at the endpoints, that is it diverges at x = 1 and x = -1.
The timestamps of key parts of the video are listed below:
- Problem 9: 0:00
- Solution: Start with a Geometric Series: 0:20
- Differentiating with Quotient Rule: 6:42
- Radius of Convergence is 1: 16:40
- Checking for convergence at the endpoints: 18:18
- Endpoints diverge: 21:09
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Conic Sections: Hyperbolas: Example 1
In this video I go over further into Hyperbolas and this time determine the foci, asymptotes, and vertices of the hyperbola 9x^2 – 16y^2 = 144. This particular hyperbola is not written in “standard form”, which is the form x^2/a^2 – y^2/b^2 = 1 and which I derived in my earlier Conic Sections video. But we can get it in standard from by simply dividing both sides of the equation by 144 and then simplifying the resulting fractions. Doing so, I show that the hyperbola in standard form is x^2/4^2 – y^2/3^2 = 1. Thus, as shown also in my earlier derivation video, the foci are located at (+/- c, 0) = (+/- 5, 0); vertices at (+/- a, 0) = (+/- 4, 0), and asymptotes y = +/- (b/a)x = +/- (3/4)x. Graphing this using the amazing Desmos graphing calculator confirms that it a typical horizontal hyperbola, as expected. This is a very useful illustrating on walking through the steps in analyzing a hyperbola by first converting it into standard form and then graphing; so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh5MfEMYv-svSfjLUCg
View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/conic-sections-hyperbolas-example-1
Related Videos:
Conic Sections: Hyperbola: Definition and Formula: https://youtu.be/UBIHovXNV9U
Conic Sections: Parabolas: Definition and Formula: https://youtu.be/kCJjXuuIqbE
Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles): https://youtu.be/9dETsJ2tz_M
Hyperbola - Definition and derivation of the equation: x^2/a^2 - y^2/b^2 = 1: http://youtu.be/Y6iYC4VEAi0
Hyperbola Examples: http://youtu.be/LvccUMFrY3k .
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139
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Building 7: The TRUTH Cut 2.0 by 9/11 Revisionist
In this video I have uploaded a condensed version of the earlier epic video by fellow researcher 9/11 Revisionist on the real truth of Building 7, which was it got DEW'ed. This version focuses on the lack of noise and seismic signal in the building's destruction, both of which debunk the mainstream fire collapse, and alt-media explosive demolition. Building 7, as with the other 6 buildings (not just the Twin Towers), were turned mainly to dust using advanced directed energy or cold-DEW technology. Lieutenant colonel Thomas Bearden in the 1980s discussed the extraction of energy at a distance or electromagnetic implosion, which are said to be akin to "cold explosions". I included a comparison of WTC 1, 2, and 7 turning to dust and they do indeed appear to be undergoing such "cold explosions", in other words, the loss of energy that gives the buildings their rigid strength.
Also included in this edit is Architects & Engineers for 9/11 Truth (AE911Truth) disinfo agent David Chandler being laughed at for pretending to not know how to read Seismic charts, and Taylor Swift's concert had the same Seismic reading at the 500,000 ton WTC 1 North Tower!
Note that this shortened version was sent to me by 9/11 Revisionist but after I added more edits, he liked my version better!
The links to the original version, Thomas Bearden's scalar waves video, and 9/11 Revisionist's Substack are shown below:
- Building 7: The TRUTH Cut 1.0: https://youtu.be/QH6Q230711E
- Lt. Col. Thomas Bearden in the 1980s CNN report: https://odysee.com/@911revisited:7/3A.-911-Free-energy:7
- 9/11 Revisionist Substack: https://911revision.substack.com/p/building-7-the-real-truth-cut
The timestamps of key parts of the video are listed below:
- Epic music introduction: 0:00
- Mainstream narrative believer Edward Current debunking explosive demolition: 0:21
- Fake WTC 7 explosives hoax video: 0:53
- Real explosive demolition is very loud: 1:34
- Building 7's fall is very quiet: 2:05
- 9/11 Revisionist asking AE911Truth disinfo agents David Chandler and Richard Gage about seismic readings: 3:19
- "I'm not a Seismologist" LOL😂: 3:47
- Dr. Judy Wood on the very small seismic signals of building 7: 3:57
- Seismic readings: WTC vs Taylor Swift concert: 4:29
- Links for more information: 4:41
- Lt. Col. Thomas Bearden: Scalar weapons, cold explosions: 4:50
- WTC 1, 2, 7 turning to dust: electromagnetic implosions?: 5:22
Related videos:
- 9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh
- #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh and https://peakd.com/truth/@mes/911 .
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Problems Plus 8: Similar to Problem 7 but with Inverse Cotangent
In this video I derive a similar formula as in Problem 7 but this time use arccot or inverse cotangent. I then use that formula, as well as the useful method of the Telescoping Sum, to determine the sum of a series involving arccot and show that it equals to π/2.
The timestamps of key parts of the video are listed below:
- Problem 8: 0:00
- Solution to Part (a): 0:30
- Solution to Part (b): 18:11
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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137
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Problems Plus 7: Calculating π Using the Formula of John Machin (1680 - 1751)
In this video I go over a very long problem that involves first determining several arctan formulas and then using them to determine the value of the π up to 7 decimal places. One such formula is named after mathematician John Machin (1680 - 1751) whom used it to determine π correct to 100 decimal places well before the invention of computers. This method also involves using the Maclaurin series for arctan or inverse tan which I had derived in my earlier videos. With modern computers however, the value of π has been calculated to trillions of decimal places!
The timestamps of key parts of the video are listed below:
- Problem 7: 0:00
- Solution to Part (a): 2:10
- Solution to Part (b): 16:42
- Solution to Part (c): 24:24
- Solution to Part (d): 38:00
- Solution to Part (e): 50:06
- Solution to Part (f): Calculating π: 55:58
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Problems Plus 6: Sum of Reciprocals of Positive Integers Whose Prime Factors are 2s and 3s
In this video I go over the sum of the series whose terms are reciprocals of the positive integers whose only prime factors are 2s and 3s. Recall that a prime number is a number that can only be divided cleanly by itself or 1, for example the numbers 2, 3, and 5. A prime factor is a prime number that can divide into a number cleanly, for example 3 and 2 are prime factors of the number 6. A reciprocal is a number of the form 1/x. When writing out such a series of reciprocals, I show that we can formulate it as a double summation, where one summation is for the 1/2 terms and the other summation is for the 1/3 terms. Separating these further, I show they are indeed convergent geometric series. This means we can simply apply the geometric series summation formula and finally obtain the number 3. A truly fascinating result to what at first seemed a very convoluted problem!
The timestamps of key parts of the video are listed below:
- Problem 6: 0:00
- Solution: 0:36
- Recap on Prime Factors and Prime Numbers: 0:45
- Recap on Reciprocals: 1:45
- Back to the Solution: 1:57
- Double Summation: 4:54
- Two convergent Geometric Series: 7:53
- Sum is equal to 3: 9:01
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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141
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Problems Plus 5: Fractal Snowflake Curve
In this video I go over calculating the area of an infinite snowflake curve constructed by adding a triangle to every side of the previous shape, and starting with an equilateral triangle of side length 1. Although the total length of the shapes approach infinity, the actual area approaches a finite number. When we determine the area of each consecutive shape, we obtain a convergent Geometric infinite series, which we can then plug in our earlier formula for the area. The area of the snowflake approaches exactly a 60% increase as compared with the original triangle area. Truly epic stuff!
The timestamps of key parts of the video are listed below:
- Problem 5: Snowflake Curve: 0:00
- Solution to Part (a): 2:59
- Solution to Part (b): 9:08
- Solution to Part (c): 10:14
- Determining a series for the area: 14:30
- Geometric Series: 21:36
- Calculations: 30:16
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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✈️#911Truth Part 23: North Tower Core Columns Spire Literally Turning to Dust
In #911Truth Part 23, I have uploaded a slowed down version of the WTC 1 North Tower's "Spire" core columns, which somehow remained standing after WTC 1 turned to dust, only to shortly afterwards literally turn to dust before our very eyes. There is also another key part of the Spire that many people, including me, had missed all these years. There are a group of core columns that turn to dust just before the Spire does, and even more clearly too! Truly mind-boggling! This was brought to my attention by my subscriber HeyOdi during my recent 9/11 Emergency Broadcast livestream, but even then I didn't understand what they meant until moments after the livestream ended.
After these other core columns turned to dust, the Spire stood upright for a few more seconds, before it too turned to dust as it gradually falls downwards. Note that the Spire is 900 feet tall, which is almost the height of the Eiffel Tower! So, unless there is a 900 ft hole in the ground, it's safe to conclude the tower turned to dust, and it certainly wasn't seen in the rubble afterwards. Also note that Stairwell B was near the bottom of the Spire, but nothing landed on top of Stairwell B or the 16 survivors on or near Stairwell B. Truly mind boggling stuff!
This video was taken from the 2:52 mark of the following video:
- WTC 9/11 Video by WNBC-TV Unknown w/ Reporter Joe Avellar (Enhanced Video/Audio & Doubled FPS): https://youtu.be/3MWuaEMfPLM
The timestamps of key parts of the video are listed below:
- WTC 1 North Tower turning to dust: 0:00
- Spire standing upright, other core columns LITERALLY turning into dust: 0:10
- Spire turns into dust as it falls downwards: 0:28
- Keep your eyes on the other core columns: 0:37
- 0.1X speed: Other core columns turning to dust: 0:49
- Height comparison: Spire, WTC 1, Eiffel Tower, Building 7: 1:28
- 0.1X speed: Spire falling into dust (or a 900 foot hole??): 1:47
Stay tuned for #911Truth Part 24...
- HIVE video screenshots: https://peakd.com/hive-113182/@mes/911truth-part-23-spire-turning-to-dust
Related Videos:
#911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh and https://peakd.com/truth/@mes/911
9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh .
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Building 7: The TRUTH Cut by 9/11 Revisionist
In this video I have uploaded, with permission, an epic edit by fellow researcher 9/11 Revisionist on the real truth of Building 7, which was it got DEW'ed. WTC 7, also called Building 7, has often been the focus of alt-media as "proof" of controlled explosive demolition, but the evidence clearly shows it was not exploded. There was very little noise or seismic impact, or even rubble, thus making it easy for mainstream narrative believers to debunk mainstream conspiracy researchers. Although the mainstream lie of "office fires" causing a nonexistent "pancake collapse" is as bogus as it gets, it is important not to replace one lie with another (that's the job of controlled opposition Architects & Engineers for 9/11 "Truth"). What actually happened on 9/11 was that it was being dustified in a much more gradual method for 7 hours from inside out until it was quiet literally a hollowed out shell. At this point it couldn't support its own weight and fell so quietly that people nearby could barely hear it. Such advanced technology that could do this bring up thoughts of, as Lieutenant colonel Thomas Bearden would put it, "electromagnetic implosions at a distance using scalar wave interference"...
The original video can be seen on 9/11 Revisionist's various channels:
- https://youtu.be/nCiUsM4bVSM
- https://911revision.substack.com/p/building-7-the-real-truth-cut
- https://odysee.com/@911revisited:7/Building-7---The-TRUTH-CUT---911-Revisionist:f
- https://twitter.com/911Revisionist/status/1700996802491928801
The timestamps of key parts of the video are listed below:
- Epic music introduction: 0:00
- MSM Breaking News: America Under Attack: 0:21
- Building 7 lathering into dust: 0:54
- Building 7 falls like an empty shell: 2:33
- Lt. Col. Thomas Bearden: Scalar weapons, cold explosions: 2:52
- WTC 7 falling quietly: 3:25
- Mainstream narrative believer Edward Current debunking explosive demolition: 5:10
- Fake WTC 7 explosives hoax video: 5:40
- Real explosive demolition is very loud: 6:22
- Building 7's fall is very quiet: 6:52
- 9/11 Revisionist asking AE911Truth disinfo agents David Chandler and Richard Gage about seismic readings: 8:06
- "I'm not a Seismologist" LOL😂: 8:36
- Dr. Judy Wood on the very small seismic signals of building 7: 8:42
- Links for more information: 9:27
Related videos:
- 9/11 Observable Evidence video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh
- #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh and https://peakd.com/truth/@mes/911 .
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9/11 Observable Evidence: We Are Leaving Our Thinking to Someone Else
In this video I have uploaded a short segment of Mel Fabregas and Dr. Judy Wood talking about the dumbing down of the educational system and the public letting others think for them. This was most evident on 9/11 when people were ready to go to war over the ghost that was Osama bin Laden, before they even knew what happened on 9/11. Mel Fabregas, from Veritas Radio, speculates that the school system is designed to keep the general public with the critical thinking skills of a 7th grader. Dr. Judy Wood, quoting from a Swedish article reviewing her work says that the main conspiracy running the world is the one that destroyed the educational system, and it is hard to argue against this. The last part of the video involves the WTC 1 North Tower "Spire" central core columns turning to dust right before our very eyes, but this requires that we think for ourselves instead of letting the news or alt-news dictate it for us.
Note that the thumbnail of this video is taken from the following video at the 2:52 mark which involves core columns turning to dust more clearly and just before the main Spire dustifies; truly mind-boggling stuff! https://youtu.be/3MWuaEMfPLM
The timestamps of key parts of the video are listed below:
- We are leaving our thinking to someone else: 0:00
- Public Fool System: 1:01
- Conspiracy to destroy the Educational System: 1:35
- WTC 1 North Tower Spire core columns turning to dust: 2:33
This video was taken from the following video listed below:
- 9/11 Observable Evidence (MES Dubbed): Still Working On It...
- 9/11 Observable Evidence (Original): https://youtu.be/8Xw-00NbEE8
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh
Related Videos:
- #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh and https://peakd.com/truth/@mes/911 .
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9/11 Observable Evidence: Where did the South Tower Go?
In this video I show that the once 500,000 ton WTC 2 South Tower has vanished into dust leaving a debris pile barely above ground level. WTC 3, a 22 story building that mainstream media and mainstream alt-media barely talk about, has also vanished into dust. What unimaginable technology could have turned these once giant skyscrapers into dust leaving very little debris?
The timestamps of key parts of the video are listed below:
- WTC 2 South Tower weighed 500,000 tons: 0:00
- WTC 2, WTC 3, WTC 1 vanish into dust: 0:36
- WFC 2 is visible behind the debris: 1:01
- WTC 2 debris is barely above ground level: 1:12
This video was taken from the following video listed below:
- 9/11 Observable Evidence (MES Dubbed): Still Working On It...
- 9/11 Observable Evidence (Original): https://youtu.be/8Xw-00NbEE8
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh
Related Videos:
- #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh and https://peakd.com/truth/@mes/911 .
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