Exercise 6: Surveying: Elevation Correction due to Earth's Curvature using Taylor Polynomials
In this video I derive the elevation correction required when surveying long distances across a highway due to Earth's curvature, and also derive a Taylor polynomial approximation for the correction. For an 100 km long highway, the Taylor polynomial is accurate to within an amazing 0.00808 mm!
Timestamps:
- Exercise 6: Surveying: 0:00
- Solution to (a): Deriving the correction due to Earth's curvature: 1:41
- Solution to (b): Taylor polynomial approximation for the correction: 6:07
- Derivatives of secant for the Taylor series: 7:38
- 4th degree Taylor polynomial for sec(x): 22:45
- Plugging in our Taylor polynomial into the correction formula: 24:52
- Correction approximation formula: 27:38
- Solution to (c): Comparing corrections for a 100 km long highway: 28:19
- Approximation has an accuracy of 0.00808 mm: 31:10
Full video, notes, and playlists:
- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F76sIU8xm09oqBTq1mlry3
- HIVE notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-applications-of-taylor-polynomials
- Infinite Sequences and Series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Exercise 5: Approximating the Period of a Pendulum using the Binomial and Geometric Series
In this video I go over the formula for the period (time it takes to go back and forth) of a pendulum and approximate it using the binomial and geometric series. I first rewrite the pendulum period formula using the binomial series and given integral for sine^2n, and approximate it using the first 2 terms. Since all the terms of the series are positive, the actual pendulum period is larger than the 2nd order approximation. I then show that the binomial series form of the pendulum period is actually less than a geometric series. Thus we have an upper and lower bound for our approximation. I go over several examples and determine the % accuracy as well.
Timestamps:
- Exercise 5: Pendulum Period: 0:00
- Solution to (a): Binomial series approximation of the pendulum period: 3:54
- Plugging in our given formula for sine^2n: 11:53
- Pendulum period formula as an infinite binomial series: 18:27
- Solution to (b): Period inequality using geometric series: 19:13
- Pendulum period is greater than the first term approximation because all the terms are positive: 21:30
- Recap on geometric series: 23:56
- Comparing our Taylor series with geometric series: 24:57
- Pendulum period is less than sum of a geometric series: 30:14
- Pendulum inequality formula: 33:21
- Solution to (c): Estimate pendulum period of length 1 meter: 34:47
- Estimate for 10 degrees is 0.2% less than the actual 2.01 second period: 38:02
- Estimate for 42 degrees: 39:43
- Estimate for 42 degrees is 3.4% less than the actual 2.01 second period: 41:07
Full video, notes, and playlists:
- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F76sIU8xm09oqBTq1mlry3
- HIVE notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-applications-of-taylor-polynomials
- Infinite Sequences and Series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Exercise 4: Approximating the Velocity of a Shallow Water Wave using Maclaurin Series
In this video I go over the water wave velocity equation and approximate it when the waves are deep and when the waves are shallow. For deep waves, the hyperbolic tan or tanh(x) term in the water wave velocity equation approaches zero, which greatly simplifies the equation. For shallow waves, we can use the Maclaurin series approximation for tanh(x) and show that 3rd order or higher terms approach zero for shallow waves. I also calculate the error of this shallow wave speed approximation by using the alternating series estimation theorem.
Timestamps:
- Exercise 4: Water waves speed: 0:00
- Solution to (a): Deep water wave speed approximation: 1:43
- Approximation using hyperbolic tanh(x) = 1: 3:38
- Deep wave speed approximation formula: 5:29
- Solution to (b): Shallow water wave speed approximation: 6:04
- Maclaurin series approximation for tanh(x): 7:05
- Determining derivatives of tanh(x) at a = 0: 8:44
- Writing out our Maclaurin series approximation of tanh(x): 17:18
- 3rd order terms approach zero when water is shallow: 20:07
- Shallow water speed approximation: 21:43
- Shallow water speed approximation formula: 23:22
- Solution to (c): Alternating Series Estimation Theorem for the error: 24:25
- Estimation for tanh(x) approximation: 26:53
- tanh(x) remainder approximation if L is greater than 10d: 30:00
- Estimating accuracy of shallow water wave speed: 32:33
- Error is less than 0.0132gL: 34:02
Full video, notes, and playlists:
- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F76sIU8xm09oqBTq1mlry3
- HIVE notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-applications-of-taylor-polynomials
- Infinite Sequences and Series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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MES Livestream 54: Adam Eisenberg and 9/11 Revisionist Discuss the PentaCON
Adam Eisenberg, a direct witness at the Pentagon, and Norman aka 9/11 Revisionist join the show to discuss the Pentagon attack on 9/11 and what actually happened.
September 14, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Guest links:
- Adam's Instagram: https://www.instagram.com/awakenedadam
- Norman's Substack: https://substack.com/@911revision
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-113182/@mes/livestream-54-pentagon-911
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .
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MES Livestream 53: Summary of Evidence of What Did (and Didn't) Happen on 9/11
Join me and CREW in this special 23rd 9/11 anniversary livestream as we do a summary of all the key evidence on 9/11, which point to the use of cold-DEW and holographic projection technology.
9/11 Avengers that may be joining:
- Andrew Johnson aka Check The Evidence
- Mark Conlon aka 9/11 Planes Research
- Adam Eisenberg Pentagon whistleblower
- Norman aka 9/11 Revisionist
- William aka That's Live But Not As We Know It (TLBNAWKI)
- Jon Fortenberry aka American Fathers
- Keith aka Conspiracy Realist
- Methylminer
- K-J French 9/11 Guy
- Jeanne Traduction
September 11, 2024 WEDNESDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-113182/@mes/livestream-53-911-summary
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .
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✈️#911Truth Part 31: Feature Documentary: 9/11 Alchemy - A Big Idea by Wolf Clan Media
In #911Truth Part 31 I have uploaded the 3rd installment of the 9/11 Alchemy series, along side a few updates and corrections on my part, titled A Big Idea. This documentary focuses mainly on the many occult, esoteric, and synchronistic aspects surrounding the events of 9/11. From numerology, predictive programming, and Aleister Crowely ritualist magic, 9/11 was a monumental earthquake in the very fabric of reality.
Another key aspect of this documentary, and which is I have updated to include my later work, is the holographic or volumetric 3D projection technology that very likely was in play on 9/11 and used to give the appearance of large Boeing planes. In my opinion, the topic of the "planes" is THE most esoteric and controversial aspect of 9/11...
9/11 Alchemy - A Big Idea was created by Chris Hampton of Wolf Clan Media and was originally published on September 11, 2021: http://web.archive.org/web/20210914120112/https://wolfclanmedia.org/9-11-alchemy-a-big-idea/
9/11 Alchemy series:
1. Free Energy & Free Thinking: https://youtu.be/Otq1ZdGrPPQ
2. Facing Reality: https://youtu.be/CrzNeZUp0tU
3. A Big Idea: https://youtu.be/tDvQuas9hoQ
Timestamps:
- SOON
Stay tuned for #911Truth Part 32...
Video screenshots and playlists:
- Screenshots: SOON
- #911Truth video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EzqTamtIXtgX8QudQSxuxh and https://peakd.com/truth/@mes/911
- 9/11 Observable Evidence playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh .
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MES Livestream 52: 9/11 War Games and Military Exercises
Join me as I deep dive into the MANY military exercises going on before, during, and after 9/11, many of which eerily resembled the events of 9/11, even including the patsy Osama bin Laden.
September 7, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-113182/@mes/mes-livestream-50-911-war-games-and-military-exercises
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .
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Exercise 2: Deriving the 1st Order and 3rd Order Optics Formulas
In this video, I derive the first-order and third-order optics formulas by approximating the refraction formula for light using first and third-order Taylor polynomials, respectively. Refraction refers to the change in the direction of light as it passes between different mediums due to a change in speed. Light naturally travels in a way that minimizes time, and this principle helps us derive formulas for how light refracts when entering a material. The distances light travels before and after passing through an optical lens can be calculated using the Law of Cosines, which leads to a complex equation. However, we simplify this equation using Taylor polynomial approximations.
In the first part of the video, I derive the first-order, or Gaussian optics, formula by approximating the cosine function in the distance equations with its first term, which is simply 1.
In the second part, I derive the third-order Gaussian optics formula by using the third-degree Taylor polynomial for cosine, which includes the first two non-zero terms. I also apply a given hint to approximate the inverse of the distances using the first two terms of their respective binomial series. Additionally, I use a second hint to approximate the angle with its sine, which introduces a term involving the height. After working through the algebra, I arrive at the third-order optics formula!
Timestamps:
- Exercise 2: Derive 1st Order and 3rd Order Optics Equations for refraction: 0:00
- Solution to (a): Approximating cosine with First degree Taylor Polynomial: 0:59
- Equation 3: Gaussian optics or 1st order formula: 8:26
- Solution to (b): Approximating cosine with Third degree Taylor Polynomial: 9:19
- Modifying lengths in form of Binomial series: 17:46
- 1st Hint: Approximate lengths using first 2 terms of Binomial series: 23:20
- Plugging in our approximations into Equation 1: 28:06
- 2nd Hint: Approximate ɸ with sin(ɸ) to include the height term: 43:48
- Equation 4: 3rd order optics formula: 46:37
Full video, notes, and playlists:
- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F76sIU8xm09oqBTq1mlry3
- HIVE notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-applications-of-taylor-polynomials
- Infinite Sequences and Series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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MES Livestream 45: 90 Seconds Until Doomsday
Join me as I deep dive into the apocalyptic warnings (or predictive programming) of the Bulletin of the Atomic Scientists (founded by Albert Einstein and other Manhattan Project scientists). Their Doomsday Clock is at the lowest ever time remaining just as the US Election (or circus) between Donald Trump and Joe Biden is underway...
July 13, 2024 SATURDAY at 9 AM PST / 11 AM CST / 12 PM EST / 6 PM CAT / 17:00 GMT (UK)
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-106474/@mes/livestream-45-doomsday
- MES Livestreams: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn
- All Livestreams: https://www.youtube.com/@mes/streams .
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MES Livestream 44: Methylminer Presents Evidence of a Hollow and Expanding Earth
Methylminer joins the show to discuss his research into the possibility of a hollow (or gas-filled core) Earth that is constantly increasing in size, both in volume and mass.
July 7, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Methyl Miner links:
- TikTok 1: https://www.tiktok.com/@methylminer
- TikTok 2: https://www.tiktok.com/@methylminer1
- Reddit: https://www.reddit.com/user/methylminer/
- Telegram: https://t.me/DrMethyl
- YouTube: https://www.youtube.com/@Methylminer/videos
- Rumble: https://rumble.com/user/methylminer
- Andrew Johnson's book: The Earth But Not As We Know It: https://www.checktheevidence.com/wordpress/2019/11/14/book-the-earth-but-not-as-we-know-it-an-exploration/
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-128780/@mes/livestream-44-methylminer-hollow-earth
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .
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MES Livestream 51: 9/11 Avengers Emergency Chat
I have assembled a LEGENDARY crew of real 9/11 Truthers for a LEGENDARY chat:
- Andrew Johnson aka Check The Evidence
- Mark Conlon aka 9/11 Planes Research
- Adam Eisenberg Pentagon whistleblower
- Norman aka 9/11 Revisionist
- William aka That's Live But Not As We Know It (TLBNAWKI)
- Jon Fortenberry aka American Fathers
- Chris Bergier, Aerospace engineer from Boston 9/11 Truth
- Keith aka Dr. Judy Wood's friend
- Methylminer
August 31, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-113182/@mes/livestream-51-911-avengers-chat
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .
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Example 3: Einstein's Theory of Special Relativity vs. Classical Theory for Kinetic Energy
In this video I approximate Albert Einstein's kinetic energy equation from his theory of special relativity and show that at low velocities the equation agrees with the classical Newtonian equation K = (1/2)mv^2. In special relativity, the mass of a moving object is a function of its velocity and the speed of light in a vacuum, with the property that the mass goes to infinity as the velocity approaches the speed of light. The kinetic energy is the difference between its total energy (E = mc^2) and its energy at rest (m_o·c^2 where m_o is the rest mass). Plugging in the realistic mass into the kinetic energy equation we obtain an equation which can be approximated with the Maclaurin binomial series. When the velocity is much less than the speed of light, then the equation simplifies into the classical kinetic energy equation. I show that the error for this approximation is extremely small when the velocity is less than 100 m / s or 223.7 miles / hour (mph). This is a great illustration of using Taylor polynomials in a physics to gain insight into the equations.
Timestamps:
- Applications to Physics: 0:00
- Example 3: Einstein's theory of special relativity: 0:33
- Solution to (a): At small velocities Kinetic Energy equation agrees with classical Newtonian physics: 1:53
- Approximate kinetic energy as a Maclaurin binomial series: 3:33
- Plugging binomial series into kinetic energy equation: 10:42
- At low velocities, can use just first term, which matches classical theory: 14:12
- Solution to (b): Using Taylor's Inequality to calculate difference between classical theory and relativity: 15:49
- Solving the 2nd derivative of kinetic energy: 18:01
- Value of M or 2nd derivative when velocity is less than 100 m/s: 21:31
- Plugging in speed of light to get absolute maximum remainder: 23:26
- Remainder is less than: 4.17x10^(-10) times rest mass: 25:54
- Graphing kinetic energy in special relativity vs classical theory: 27:45
- Graphing in Desmos graphing calculator: https://www.desmos.com/calculator/qhskha70eg: 28:10
- Mass goes to infinity as velocity gets closer to speed of light: https://www.desmos.com/calculator/0limsnshiy: 29:22
Full video, notes, and playlists:
- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F76sIU8xm09oqBTq1mlry3
- HIVE notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-applications-of-taylor-polynomials
- Infinite Sequences and Series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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MES Livestream 43: Investigating MH370x Origins
Join me as I deep dive into the likely origins of the MH370 teleportation videos hoax as well as the connections between the main characters RegicideAnon, Ashley Bernitz, and Ashton Forbes.
June 29, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-106474/@mes/mes-livestream-43-investigating-mh370x-origins
- MES Livestreams: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn
- All Livestreams: https://www.youtube.com/@mes/streams .
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Example 2: Approximating sin(x) with Taylor Polynomials and Calculating its Error
In this video I go over a very in-depth video exploring the trigonometric sine function, its Taylor polynomials approximation, and its associated error. The Maclaurin polynomial (Taylor series centered at a = 0) approximation has alternating signs, is decreasing, and the terms approach zero, thus we can use the Alternating Series Estimation Theorem to calculate the error. Later, I show that we can get the same result using Taylor's Inequality as well as via graphing the error directly with Desmos graphing calculator. When we approximate functions, it is important to center it near the value of x we want to approximate, because the series converges more rapidly. Lastly, I show how graphing multiple Maclaurin Polynomials for sin(x) get more and more accurate as we increase the number of terms, hence increasing the degree of polynomials.
Timestamps:
- Example 2: Error approximation for sin(x) Taylor polynomials: 0:00
- Solution to (a): Maclaurin series for sin(x): 0:41
- Maclaurin sine series is alternating when x is not zero: 2:03
- Can use Alternating Series Estimation Theorem to calculate the error: 5:02
- Absolute value of error is less than 4.3x10^(-8): 7:56
- Approximating sin(12 degrees) by converting to radians first: 9:41
- sin(12°) = 0.207912 correct to 6 decimal places: 13:09
- Solution to (b): Values of x to have accuracy less than 0.0005: 15:28
- Accuracy is within 0.0005 for when the absolute value of x is less than 0.82: 18:55
- Example 2 using Taylor's Inequality: 20:27
- Solving for 7th derivative of sin(x): 22:10
- Taylor's Inequality gives same result as the Alternating Estimation Theorem: 23:52
- Graphing the Remainder Function with Desmos: https://www.desmos.com/calculator/yphi6wpizp: 27:24
- Error is less than 4.3x10^(-8) just as in Part (a): 29:49
- Graphing Remainder function and y = 0.00005 in Desmos: https://www.desmos.com/calculator/5uuyhdlp1y: 30:58
- Interval of error is between absolute of x less than 0.82 just like in part (b): 31:48
- For different angles we can use Taylor Polynomials centered at different values of x: 32:56
- Graphing various Maclaurin polynomials for sin(x) using Desmos: https://www.desmos.com/calculator/8pl3nc2zha: 33:33
- The Maclaurin polynomial with the most terms is the most accurate: 35:22
- Taylor Polynomials are used in Calculators and Computers to solve functions like sine and e^x: 36:58
Full video, notes, and playlists:
- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F76sIU8xm09oqBTq1mlry3
- HIVE notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-applications-of-taylor-polynomials
- Infinite Sequences and Series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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Example 1: Approximating Cube Root Function by a 2nd Degree Taylor Polynomial
In this video I approximate the cube root function x^(1/3) by using a 2nd degree Taylor polynomial at a = 8. The first step is to obtain the first 2 derivatives of f at x = 8, and then the third derivative to be used for the error estimation. Since the resulting Taylor approximation is not alternating, we can't use the alternating series estimation theorem but instead we can use Taylor's Inequality. For the interval between x = 7 and x = 9, the error is less than 0.0004, which is very accurate. Double checking our result using the Desmos graphing calculator shows that the error is even more accurate: less than 0.0003.
Timestamps:
- Approximate cube root function near x = 8: 0:00
- Solution to (a): First 3 derivatives of f: 0:23
- 2nd degree Taylor polynomial at a = 8: 5:51
- Taylor approximation of cube root function: 7:12
- Solution to (b): Taylor series is not alternating: 7:50
- Taylors's Inequality with n = 2 and a = 8: 12:59
- Plugging in all values for Taylor's Inequality for the remainder: 17:27
- Remainder is less than 0.0004: 18:50
- Double-checking by graphing with Desmos: https://www.desmos.com/calculator/grpvrbzkqp: 19:37
- Graphing out the remainder function: https://www.desmos.com/calculator/wvdwj2uval: 20:25
- Graph shows the error is less than 0.0003 when x is between 7 and 9: 22:20
Full video, notes, and playlists:
- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F76sIU8xm09oqBTq1mlry3
- HIVE notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-applications-of-taylor-polynomials
- Infinite Sequences and Series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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MES Livestream 42: Bob Greenyer Discusses EVOs, LENR, and the Hutchison Effect
Bob Greenyer from the Martin Fleischmann Memorial Project joins the show to discuss his ground-breaking work on exotic vacuum objects (EVOs), Low Energy Nuclear Reactions (LENR or "Cold Fusion), and the Hutchison Effect.
June 22, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Bob Greenyer's links:
- YouTube: https://www.youtube.com/@MFMP
- Website: http://quantumheat.org
- Facebook: https://www.facebook.com/MartinFleischmannMemorialProject
- Substack: https://remoteview.substack.com/
- Personal Substack: https://substack.com/@remoteview
- X: https://x.com/quantumheat
- HIVE / Steemit: https://peakd.com/@homosymbion
- Email: info@quantumheat.org
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-128780/@mes/livestream-42-bob-greenyer
- MES Livestreams: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn
- All Livestreams: https://www.youtube.com/@mes/streams .
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Approximating Functions by Taylor Polynomials
In this video, I demonstrate how Taylor polynomials can be used to approximate functions and how to evaluate the accuracy of these approximations by examining the absolute magnitude of the error. The first-degree Taylor polynomial uses only the first derivative of the function and is equivalent to basic linearization or linear approximation. By increasing the number of terms from the Taylor series, we obtain a closer approximation to the function. I illustrate this concept by approximating the exponential function at x = 0. It's important to note that the further we move from x = 0, the more terms are required for the approximation to converge accurately. We can determine the degree of the Taylor polynomial needed to achieve a specific accuracy by estimating the error using methods such as graphing, the Alternating Series Estimation Theorem, or Taylor's Inequality.
Timestamps:
- Approximating Functions by Taylor Polynomials: 0:00
- First-degree Taylor Polynomial is a linear approximation: 3:23
- Derivatives of f match T at a: 4:35
- Comparing the exponential function vs its Taylor polynomials: 6:15
- Graphing the exponential function vs Taylor polynomials: 9:36
- Table of Taylor Approximations of the exponential function: 11:59
- Taylor Polynomials converge slower at further values from a: 14:39
- Absolute value of remainder to specify desired degree of polynomials: 15:15
- Taylor's Inequality for determining size of remainder: 16:23
- Recap on the Alternating Series Test and Estimation Theorem: 18:03
Full video, notes, and playlists:
- Full video and playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F76sIU8xm09oqBTq1mlry3
- HIVE notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-applications-of-taylor-polynomials
- Infinite Sequences and Series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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MES Livestream 40: John Hutchison Joins the Show!
Legendary inventor and experimental scientist John Hutchison joins the show to discuss his unique life and his ground-breaking discovery known as the Hutchison Effect.
June 8, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
John Hutchison links:
- https://www.youtube.com/@klingonbaronessprincesskar5519/videos
- https://www.youtube.com/@HUTCHISONEFFECT2009/videos
- https://www.ebay.com/str/hutchisoneffect
- http://web.archive.org/web/20190331031634/https://www.ebay.com/str/hutchisoneffect
- https://www.gryphonproductions.com/about.html
- Peter Von Puttkamer is John Hutchison's agent for footage sales.
- https://johnkhutchison.blogspot.com/2015/11/
- Unofficial website: https://www.hutchisoneffect.com/
- https://x.com/johnhutchison20
- https://www.facebook.com/john.hutchison.777
- https://www.paypal.me/JHUTCHISON612
- https://www.youtube.com/@NancyLazaryan
- https://www.facebook.com/groups/236702710546576
- https://www.imdb.com/name/nm1746552/
- https://www.bitchute.com/channel/bUXVYkUAioi8/
- http://web.archive.org/web/20140703051333/http://www.youtube.com/user/johnkhutchison1
- https://vimeo.com/user5606629
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-128780/@mes/livestream-40-john-hutchison
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .
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MES Livestream 39: Dr. Morgan Reynolds Discusses 9/11, Legal Case against NIST, Economics, and More
Professor emeritus, and former Chief Economist at the U.S. Department of Labor, Morgan Reynolds joins the show to discuss his Request for Correction (RFC) against the National Institute of Standards and Technology (NIST) over their 9/11 "plane" crashes investigation. He will also discuss the current economic landscape, US insanity, and his thoughts on global war.
June 1, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Morgan Reynolds links:
- Website: https://nomoregames.net/
- Facebook: https://www.facebook.com/morgan.reynolds.9256
- Mises Institute: https://mises.org/profile/morgan-o-reynolds
- Wikipedia: https://en.wikipedia.org/wiki/Morgan_Reynolds
DISCLAIMER: Regardless of what the objects in the air on 9/11 were, we will refer to them as "planes" to avoid being flagged by YouTube's "Hate Speech" guidelines: https://transparencyreport.google.com/youtube-policy/featured-policies/hate-speech?hl=en
YouTube does not allow "Hate Speech" against "victims of a major violent event and their family members" and "also do not allow content that denies that a well-documented, violent event took place."
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-113182/@mes/livestream-38-morgan-reynolds
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .
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INTERVIEW: All Things 9/11 with TLBNAWKI
Join me as I join the That's Live But Not As We Know It (TLBNAWKI) livestream to discuss all things 9/11 and much more!
August 24, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
TLBNAWKI links:
- YouTube: https://www.youtube.com/@TLBNAWKI
- Livestream channel: https://www.youtube.com/@reel-ness
- X: https://x.com/ThatsLifeButNo2
- Website: https://tlbnawki.wixsite.com/thats-life-but-not-a
- Telegram: https://t.me/tlbnawkilive
- Odysee: https://odysee.com/@tlbnawki:9
- BitChute: https://www.bitchute.com/channel/Wlz7gok5poSU/
- Rumble: https://rumble.com/user/TLBNAWKI
- Email: tlbnawkilive@gmail.com
Stream notes and playlist:
- Original Livestream link: https://www.youtube.com/live/RHZyN3MQvAM
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .
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MES Livestream 38: Mystery Flashes on 9/11
Join me as I deep dive into RARE, never before observed, and mysterious flashes near the World Trade Center just as the events of 9/11 where occuring.
May 25, 2024 TODAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-113182/@mes/mes-livestream-38-mystery-flashes-on-911
- MES Livestreams: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn
- All Livestreams: https://www.youtube.com/@mes/streams .
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MES Livestream 37: The Hutchison Effect is Real (Debunking the "Debunkers")
Join me as I deep dive again into the Hutchison Effect and this time show that it is very very real, and that the "debunkers" are very very fake.
May 18, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-128780/@mes/livestream-37-hutchison-effect
- MES Livestreams: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn
- All Livestreams: https://www.youtube.com/@mes/streams .
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Biotechnology: Molecular Cloning, CRISPR Gene Editing, and Genetically Modified Organisms
In this video, I explore different types of modern biotechnology, including techniques that modify an organism's genome or create entirely new genes and life forms. One such technique, molecular or gene cloning, involves inserting recombinant DNA molecules into organisms and directing their replication within the host. Another method, CRISPR gene editing, utilizes a streamlined version of the CRISPR-Cas9 system, originally an anti-bacteriophage defense mechanism in bacteria. Notably, the first medicine produced using recombinant DNA technology was human insulin, which was made by combining genetic sequences from different organisms.
Time stamps:
- Biotechnology is the use of cells or living organisms to develop products for humans: 0:00
- Construction of recombinant DNA by inserting a DNA fragment into a plasmid: 0:44
- Molecular cloning assembles recombinant DNA molecules and directs their replication within host organisms: 2:52
- Diagram explaining gene cloning of bacteria: 5:25
- DNA microarray is a collection of microscopic DNA spots attached to a solid surface: 16:22
- Video of a microarray for genotyping to compare genes between individuals: 14:47
- Expression vector introduces a specific gene into a target cell to produce protein encoded by the gene: 21:42
- Current COVID-19 vaccines use mRNA vectors to produce the "coronavirus spike protein": 23:28
- Synthetic genomics modifies or creates new DNA or entire lifeforms with artificial non-natural genes: 23:50
- Synthetic biology seeks to create new biological parts or devices that are already found in nature: 25:02
- Clustered regularly interspaced short palindromic repeats (CRISPR) are DNA sequences found in prokaryotic organisms previously infected by bacteriophages: 26:44
- Bacteriophage is a virus that infects and replicates within bacteria and archaea: 28:35
- CRISPR associated protein 9 (Cas9) uses CRISPR sequences as a guide to cut DNA: 31:43
- CRISPR gene editing uses a simplified version of the bacterial CRISPR-Cas9 antiviral defense system: 33:27
- CRISPR-Cas9 diagram showing Cas9 protein enzyme and guide RNA to cut and replace DNA: 37:26
- 5' and 3' refer to direction of a strand of nucleic acid: 40:45
- Human insulin was first medicine made using recombinant DNA technology: 43:05
- Pharming involves inserting genes that code for pharmaceuticals into host animals or plants, thus creating genetically modified organisms (GMO): 43:46
Full video below:
- #MESScience 3: Overview of Biology: https://youtu.be/WX_qzT0nZFY
- HIVE video notes: https://peakd.com/hive-128780/@mes/messcience-3-overview-of-biology
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FYO6bxFbBAtVJ9sDOJnH72
- #MESScience playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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MES Livestream 36: UFO Media's No-Go Zone with 9/11 Revisionist
9/11 Revisionist joins the show again to go over the UFO media landscape and show that the likes of Steven Greer, Alien Scientist (Jeremy Rys), and Ashton Forbes will discuss anything related to suppressed free technology EXCEPT 9/11 and the work of Dr. Judy Wood.
May 11, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
9/11 Revisionist Links:
- Substack: https://substack.com/@911revision
- X: https://x.com/911Revisionist
- Telegram: https://t.me/Sept11_Deprogramming
- Odysee:https://odysee.com/@911revisited:7
- Facebook: https://www.facebook.com/groups/879905060007964
- Rumble: https://rumble.com/c/c-2588430
- Email: revisionof911@gmail.com
- PayPal: https://www.paypal.com/donate/?hosted_button_id=PY6VVHSD4DP6U
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-113182/@mes/livestream-36-911-revisionist-ufo-media
- MES Livestreams: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn
- All Livestreams: https://www.youtube.com/@mes/streams .
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MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
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This stream is created with #PRISMLiveStudio
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MES Livestream 50: Boston 9/11 Truth Recap
Join me as I recap on my "debate" with Richard Gage, David Chandler, and other 9/11 Truth influencers during last week's Boston 9/11 Truth Zoom call.
August 17, 2024 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 10 PM CAT / 21:00 GMT (UK)
Stream notes and playlist:
- Stream notes and links: https://peakd.com/hive-113182/@mes/mes-livestream-50-911-war-games-and-military-exercises
- MES Livestreams: https://www.youtube.com/@mes/streams
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn .
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Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
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iPhone and Android Apps: https://mes.fm/mobile-apps
This stream is created with #PRISMLiveStudio
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