Math Easy Solutions

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video, I use the binomial series approximation to demonstrate that the electric field (E) of an electric dipole (two equal but opposite charges separated by a small distance) is proportional to 1 over the distance cubed when measured from a far distance. Normally, the electric field (E) of a single charge is proportional to the charge divided by the distance squared. However, for a dipole, we must subtract the electric field of one charge from the electric field of the other. By applying the binomial series to rewrite E and considering the limit at large distances, higher-order terms (second-order and beyond) approach zero. This simplification yields the approximate result: E ≈ 2dq/D³, where D is the distance from the dipole, d is the separation between the charges, and q is the magnitude of the charge. Timestamps: - Exercise 3: Electric Dipoles: 0:00 - Solution: Rewrite Electric Field equation to get d/D term: 1:38 - Binomial series approximation for d/D term: 4:24 - Plug in binomial series into electric field equation: 8:25 - Electric field of a dipole is proportional to 1/D^3 when D is much greater than d: 10:58 - E ≈ 2dq/D^3: 12:31 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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio

In #911Truth Part 32 I have uploaded a short clip from the 9/11 Alchemy - A Big Idea documentary which YouTube removed for "Hate Speech", focusing on the very likely advanced image projection technology used on 9/11. This clip includes several parts of my own work to drive home the point that the "planes" on 9/11 literally were glitching out in real life, and not simply due to camera or video compression artifacts, and certainly not CGI. The videos of the "planes" were real, but the disappearing wings, and impossible crash dynamics, point towards advanced holographic or plasma induced projection technology. One such mechanism for the projection could be the MYSTERY OBJECT flying literally next to the 2nd "plane" at near 587 mph. Assuming the mystery object was under invisibility cloaking, its position relative to the synced disappearing wings videos suggests it may be the reason why the right wing disappeared at exactly the same time and place... Links to sources used: - NIST report by ARA: Aircraft Impact Analysis: https://www.nist.gov/system/files/documents/2017/05/09/WTC_Symp_ARA_2.pdf - Researchers created true 3D holograms: https://www.engadget.com/2018-01-25-3d-holograms-trapping-particles.html - Optical Holography book: https://www.amazon.ca/Optical-Holography-Principles-Techniques-Applications/dp/0521433487 - True 3D projections: https://www.dailydot.com/unclick/star-wars-holograms-volumetric-images/ - Navy patent: https://t.me/meslinks/23932 - Ghost Gun UA175 by Marcus Icke and Dr. Stefan Grossman: http://web.archive.org/web/20220402092234/https://wolfclanmedia-research.blogspot.com/2018/05/911-ghost-gun-ua-175.html and https://www.serendipity.li/wot/grossman01.htm - Richard Hall Radar analysis: https://t.me/meslinks/24080 - Richard Hall 2022 update: https://t.me/meslinks/26240 - Daniel R. Bower radar analysis of UA 175 and UA 11: https://t.me/meslinks/26263 - 3 Mystery planes at 2nd impact: https://t.me/meslinks/26487 - Mystery object in Roberto Cervantes footage: https://t.me/meslinks/26043 - Gedeon Naudet footage showing reappearing right wing: https://t.me/meslinks/26512 - Right wing disappearing synced 3 and 9 videos: https://peakd.com/hive-113182/@mes/zmprrlkh - Les Sweeting said he saw a rocket: https://t.me/meslinks/25915 - Carmen Taylor photograph of disappearing wing: https://t.me/meslinks/26464 - Anonymous photo showing impossible crash physics: https://t.me/meslinks/25539 9/11 Alchemy series: 1. Free Energy & Free Thinking: https://peakd.com/hive-113182/@mes/911truth-part-18-9-11-alchemy-free-energy-and-free-thinking-by-wcm 2. Facing Reality: https://peakd.com/terrorism/@mes/911truth-part-11-feature-documentary-9-11-alchemy-facing-reality-by-wolf-clan-media 3. A Big Idea: https://peakd.com/hive-113182/@mes/vgouudww Timestamps: - Dr. Judy Wood tells Richard Syrett the "planes" involved image manipulation: 0:00 - Andrew Johnson says "planes" involved image projection: 0:09 - Companies in Directed Energy Professionals Society specialize in holography, DEW, psyops, and investigated 9/11: 0:18 - Mark Conlon goes over Navy patent on ghost volumetric image decoy plasma projection technology: 1:23 - Marcus Icke and Dr. Stefan Grossmann article on Ghost Gun UA175: 2:20 - Richard Hall's original Radar analysis showing 2 different flight paths: 3:43 - Military radar path is either an calibration error or possibly a drone aircraft flying alongside the 2nd "plane": 5:10 - At LEAST 3 mystery planes flying around 2nd "plane": 5:36 - Mystery object flying alongside 2nd "plane" at rapid speed: 5:57 - Naudet footage shows 2nd "plane" right wing disappearing and reappearing: 7:10 - 3 videos synced showing right wing disappear: 7:33 - 9 videos synced: 7:48 - Les Sweeting said he saw a rocket: 8:12 - Photographs show disappearing wing and impossible crash physics: 8:19 - Dr. Judy Wood questions the optics on 9/11: 8:30 Stay tuned for #911Truth Part 33... Video screenshots and playlists: - HIVE Notes: https://peakd.com/hive-113182/@mes/kqogyjjx - #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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio

In this video I summarize the very important work of FractalWoman and Michael Snyder on Isopotentials, which are contours of equal magnetic field strength. These contours are perpendicular to the magnetic field, which is the shape formed by iron filings around a magnet. When plotting out the lines of equal magnetic strength, the shape formed explains many magnetic phenomena in simple terms. The isopotentials represent pressure gradients much the same as contours of air pressure in weather forecasts. When viewing magnetism from the perspective of isopotential lines, it becomes clear why tiny magnets move along curve paths instead of directly towards a bigger magnet. Isopotentials also make clear the expected behavior of Faraday's paradox, the Stern-Gerlach experiment, and the shapes of atomic orbitals. Links used in this video: - Pic2Mag App: https://www.pic2mag.com/ - Isopotentials and Pressure Gradients by @FractalWoman : https://youtu.be/yKbDCy7htXo - Magnetic Isopotentials and the Faraday Paradox: https://youtu.be/sJ0izpaKmFU - My Ether Model Brain Dump: https://youtu.be/ziGC6ZRmXWk - Magnetism is Bi Lateral Linear Opposing Converging Rotating Fibonacci Sequenced Dielectric Flows by @TheGoodVibrations : https://youtu.be/fn2xpFij4-Y - Faraday's Paradox using Iron Filings: https://youtu.be/hotOO9bwrrA - Atomic orbitals wiki: https://en.wikipedia.org/wiki/Atomic_orbital Timestamps: - Magnetic field is shape formed by iron filings in the presence of a magnet or electromagnet: 0:00 - Michael Snyder's Pic2Mag app plots contours of equal magnetic field strength: 0:12 - Magnetic isopotential lines are perpendicular to magnetic field: 0:33 - Magnetic field lines can be thought of as many smaller magnets around a bigger magnet: 0:44 - FractalWoman measures voltage readings to obtain isopotential lines: 0:58 - Isopotential lines are 3D surfaces: 1:25 - Air pressure gradients dictate wing strength: 1:40 - Magnetic flux = Aether Flow? 2:00 - FractalWoman demonstrates isopotentials on a level table: 2:19 - Small magnet rolls along its current isopotential line towards bigger magnet: 2:44 - Placing tiny magnet to the left can still make it go to the right along isopotential: 3:10 - Small magnet has its own isopotential lines and move towards path of least of resistance: 3:24 - Tiny magnet moves along an isopotential line even if pushed forward towards large magnet: 3:40 - Tiny magnet follows isopotential even if big magnet is placed on its side: 3:51 - Tiny magnet flies to the poles when placed really close to the big magnet: 4:27 - Tiny magnet or steel ball bearing can be placed on the side of the big magnet but this is unstable: 4:40 - Magnetic isopotentials show the unstable configuration: 5:14 - Stern-Gerlach Experiment: Silver atoms deflected up or down in a non-uniform magnetic field due to having an unpaired "spin-up or spin-down" electron: 5:26 - Magnetic isopotentials show silver atoms behave like a tiny magnet in the presence of a large magnet: 5:50 - Magnetic isopotentials show weak magnetic strength at the center of a stack of magnets: 6:11 - The Good Vibrations demonstrates difference in magnetic strength of a stack of magnets: 6:19 - Visualizing the isopotential lines in 3D: 6:34 - View from the poles shows isopotential lines as concentric circles: 7:00 - Faraday's Paradox explained: Rotating magnet doesn't change isopotential lines at the poles: 7:08 - Spinning copper disk induces voltage the charges' isopotentials vary relative to the magnet's isopotentials: 7:22 - Rotating a magnet does not move iron filings: 7:40 - Atomic orbitals match the isopotentials of various configurations of magnets: 7:57 Video screenshots and playlist: - HIVE notes: https://peakd.com/hive-128780/@mes/xdxcqhxk - MES Physics playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EAUu0aAxoZmkS83RI65m1N Related Videos: MES Science: https://www.youtube.com/playlist?list=PLai3U8-WIK0GhjCHmTw1XbqMD_EdVKdd9 MES Experiments: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUHoank-Lj9q6RGAS51QRh Anti-Gravity: https://www.youtube.com/playlist?list=PLai3U8-WIK0HkT4DmvQSg0XZfY5Bxkxq1 Free-Energy: https://www.youtube.com/playlist?list=PLai3U8-WIK0FKVpHL_onhaqBeVP-8qJXV . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio

In this video I prove that the derivatives of a Taylor Polynomial are equal to the derivatives of the corresponding function used in the approximation when x = a. This is because any derivative at x = a of any Taylor polynomial cancels out all the terms (since a - a = 0) except the first term, which is just the corresponding derivative of f at x = a. Timestamps: - Exercise 1: Taylor Derivatives are the same as the function used in the Taylor Polynomial: 0:00 - Solution: Taylor derivatives cancel out all the terms except the first: 0:30 - n-th Taylor derivative is equal to the n-th derivative of f: 8:09 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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio

In this video, I demonstrate how Taylor polynomials are used in optical physics to simplify the complex refraction equation. The refraction path lengths of light outside and inside a refractive medium, like a glass lens, can be derived using the Law of Cosines. However, the resulting equation is often cumbersome to work with. In first-order optics, we approximate these lengths using the first-order Taylor polynomial for cosine, where cos(x) is approximated as 1. For larger angles, a more accurate approximation is needed, so we use the third-degree Taylor polynomial instead, a method known as third-order optics. Timestamps: - Applications to Optical Physics: 0:00 - Equation 1 derived from Fermat's principle that light travels to minimize time taken: 1:12 - Index of refraction is ratio of speed of light in a vacuum over the speed of light in the medium: 2:40 - Recap on the Law of Cosines: 2:54 - Derivation of Equation 2: Lengths used in Equation 1: 4:33 - Gauss' Linear approximation for Equation 2 using the first degree Taylor polynomial: 12:22 - Equation 3 uses the Linear Approximation of Equation 2 into Equation 1: 15:24 - Gaussian or first-order optics: 16:35 - More accurate approximation uses a Taylor Polynomial of degree 2: 16:47 - Equation 4: Updating Equation 1 with the more accurate approximation into Equation 2: 17:42 - Third-order optics: 18:53 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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio

In this video I go over a quick recap on power series, which is a specific type of infinite series whose terms are powers of x multiplied by coefficients. A power series converges for only 3 possible cases: at x = a, at all values of x, or at an interval of convergence R while the endpoints are indeterminant. A Taylor series is a specific type of power series whose coefficients are determined from the coefficients of a function. Taylor polynomials refer to a specific number of terms of a Taylor series. If a function is equal to its corresponding representation as a Taylor series then the remainder approaches zero. Lastly, a Maclaurin series is a specific type of Taylor series that is centered about zero. Timestamps: - Power Series: 0:00 - Convergence of a power series at x = a, all x, or a radius of convergence R: 0:56 - Series may or may not converge at end points of R: 1:42 - Taylor series is a power series with coefficients obtained from the function's derivatives: 2:37 - Maclaurin series is a Taylor series centered at a = 0: 3:23 - A function is equal to its Taylor series if remainder approaches zero: 3:55 - Taylor's Inequality is used to evaluate the remainder: 4:24 - Table 1 of common functions and their Maclaurin series: 5:13 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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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 . ------------------------------------------------------ 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 Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps This stream is created with #PRISMLiveStudio