Math Easy Solutions

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