In this video I illustrate how complex numbers can be interpreted as vector rotations. This follows from my earlier video on equating the Rotation Matrix as a complex number. Rotating a vector by 0° is equivalent to multiplying the vector by the Identity Matrix [I]. Rotating a vector by 90° is equivalent to multiplying the vector by the Imaginary Matrix [i]. This is quite amazing, both in that complex numbers can be interpreted as vector rotations and also in that the imaginary unit i can be viewed as a 90° rotation!
This video was taken from my earlier video listed below:
In this video I go over further on the Malaysian Airlines Flight MH370 alleged teleportation videos, and this time double down on the duplicate frame by showing that the UFO orb rotates the WRONG direction at the 45th second frame! In my previous video I showed that the supposed MH370 thermal plane footage likely involved a copy and paste job for one of the frames, which is unlike any typical video compression techniques, and this video further confirms it. Going frame by frame on the orb, it maintains its rotational motion throughout the video except at the 45 second frame, where is rotates abruptly the wrong direction before abruptly rotating back in the next frame. At the 47 second frame, the duplicate frame shows proper orb motion with no abrupt changes. Thus the 47th frame is likely the correct frame while the 45th frame is the edited frame.
Note also that the first "stereoscopic satellite 3D" plane footage involves the plane, orbs, and clouds moving every 5th frame while the mouse moves every frame besides duplicating every 5th frame. In the thermal video, it too doubles every 5th frame. If you know why this is or have further information on it, please let me know!
Links to all the references and videos used are listed below:
- MES Livestream 11: Emergency MH370 Broadcast: https://www.youtube.com/live/C2vv4FjSh6o
- MH370 Teleportation Video Fakery: Duplicate Frames (NOT Video Compression): https://youtu.be/tazw6CAcrKo
- Duplicate frames MES Links telegram post: https://t.me/meslinks/21496
- Mick West tweet: https://twitter.com/MickWest/status/1726385274534679014
- @ophello tweet: https://twitter.com/ophello/status/1726828364600840534
- NOT video compression: https://twitter.com/528vibes/status/1726567372968898691
- NOT video motion vector compression: https://www.securitylinkindia.com/technology-paper/2019/07/15/video-compression-and-its-significance3/
- Camtasia video editing file: https://1drv.ms/u/s!As32ynv0LoaIirhfhyD_2K1OSVA5vw
- GIMP photoshop file: https://1drv.ms/u/s!As32ynv0LoaIirhguJ36QTkDgImkVA
- MH370 videos on MES Links telegram: https://t.me/meslinks/21412
- May 19, 2014: Satellite Video: Airliner and UFOs by RegicideAnon: http://web.archive.org/web/20170606182854/https://youtube.com/watch?v=5Ok1A1fSzxY
- Download link: https://web.archive.org/web/20140526071334oe_...
- MES local download: https://1drv.ms/v/s!As32ynv0LoaIirhd1lFnID1lbw0Yzw
- Used the WayBack Machine YouTube downloader: https://www.waybackyt.download/
- June 12, 2014 video: UAV-Captures Airliner and UFOs by RegicideAnon: http://web.archive.org/web/20140827060121/https://youtube.com/watch?v=ShapuD290K0
- Download link: https://web.archive.org/web/20190107190546oe_...
- MES local download: https://1drv.ms/v/s!As32ynv0LoaIirheG432fgdwTFwXEA
- Ashton Forbes calls me out LOL: https://twitter.com/JustXAshton/status/1727520818182209640
- My Duplicate Frames video got shared on the r/AirlinerAbduction2014 Reddit forum! https://www.reddit.com/r/AirlinerAbduction2014/comments/181uh0y/mh370_teleportation_video_fakery_duplicate_frames/
The timestamps of key parts of the video are listed below:
- Links to videos and references: 0:00
- Ashton Forbes calls out MES... LOL: 1:55
- My earlier video shared on Reddit: 3:12
- Notes: Both videos duplicate every 5th frame: 3:28
- "Satellite" Footage moves every 5th frame: 4:09
- Mouse duplicates every 5th frame: 5:41
- "Thermal" footage duplicates every 5th frame: 6:09
- 45th second orb rotates the wrong way: 6:44
- 47th second orb rotates correctly: 8:07
- Checking the orb rotation one more time: 10:11
- Let me know if you have information on the duplicate 5th frames: 11:00 .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
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
...
https://www.youtube.com/watch?v=frWD3cJ4L_A
In this video I go over the distance formula between a point and a line once again, but this time take a look at a Geometric Proof. This proof, just line in my earlier Algebraic Proof, is only valid for slanted lines but nonetheless the final result is still applicable for horizontal and vertical lines. The proof uses the fact that we make a triangle between the point and the line, we get an angle that is also shared by a second triangle made by the slope of that line. This connection allows us to determine the distance using just the constants of the Line and coordinates of the point. This is a very unique derivation and is easier to go through than the algebraic proof. This is a great video to understand how there are often many different mathematical approaches that can be used to solve the same problem, so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhv9uc7-3FwaU7MwHaw
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/video-notes-point-to-line-distance-formula-geometric-proof-1
Related Videos:
Point-To-Line Distance Formula: Algebraic Proof: https://youtu.be/tngPrM2d-OM
Simple Proof of the Pythagorean Theorem: http://youtu.be/yt-EJlbJQp8 .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm
Try our 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
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=9ilcXZn9CfE
In this video I go over an example on finding the area between 2 curves in which it is not possible to find the exact interception points. Thus we use a graphing calculator to estimate at which points the functions intersect.
Download the notes in my video: http://1drv.ms/1tMe3L9
Related Videos:
Integrals and Areas Between Curves: Examples Part 1: http://youtu.be/zTShWrZZ6UE
Integrals and Areas Between Curves: http://youtu.be/2F03KMLIzbk
Area Under a Curve: Introduction to Integral Calculus: http://youtu.be/JbEbhv8ybmE
The Definite Integral - Brief Introduction: http://youtu.be/vhMP5SKbQjU
Fundamental Theorem of Calculus - Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk
Fundamental Theorem of Calculus - Proof of Part 1 of the Theorem: http://youtu.be/CAqTwiPxYwU .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm
Try our 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
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=rufHBmxsprE
In this video I go through Karl Gauss's ingenious proof for the formula of a sum of the first n positive and consecutive integers. Gauss derived this when he was only 10 years old!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiZ8FgDb5Cec4ODoABg?e=J172s1
View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/sum-of-n-consecutive-integers-proof
Related Videos:
Sigma Notation - A brief Introduction: http://youtu.be/Gew7y73NY30
Types of Numbers: Natural, Integers, Rational, Irrational, and Real Numbers: http://youtu.be/U22Z1q_Ibqg .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
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 determinants, what they are, and then show that we can write the Cross Product in a simpler and easier to remember form as a determinant. I also go over 2 examples determining the cross product using determinants.
The timestamps of key parts of the video are listed below:
- Definition of Determinants: 0:00
- Cross Product in Determinant Form: 6:46
- Example 1: 12:25
- Example 2: 15:36
This video was taken from my earlier video listed below:
- Vectors and the Geometry of Space: The Cross Product: https://youtu.be/k8GRt95i-Gc
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-cross-product
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FuRJ8rg-YVQvfPoPOwhuRW .
------------------------------------------------------
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
...
https://www.youtube.com/watch?v=rdityjLg7bI
In this video I go over part B of Example 1 on the Seasonal Growth population model video series, and this time plot the seasonal growth population model derived from my last video. I plot the model for varying values of the 3 constants in the model to see how the solution changes. I also look at the population as time approaches infinity and determine that this limit does not exist because of the periodic nature of the model, which involves a trigonometric element to it, thus the population fluctuates with time. In the logistic model, on the other hand, the population approaches a limit value, known as the carrying capacity. This is a very interesting video analyzing the trig function effect on modeling population growth while accounting for seasonal-growth, so make sure to watch this video!
Download the notes in my video:
Written Notes: https://1drv.ms/b/s!As32ynv0LoaIhtofrlIQmmKA1hOJkw
Excel File: https://1drv.ms/x/s!As32ynv0LoaIhtohrI4rwu-yjmkmoA
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/population-growth-other-models-seasonal-growth-example-1-part-b
Related Videos:
Population Growth: Other Models: Seasonal Growth: Example 1: Part A: https://youtu.be/yl9GQWXpE0A
Population Growth Other Models Gompertz Example 1: Part 2: https://youtu.be/MEMyYm6YWSU
Population Growth: Other Models: Example 3: Extinction: https://youtu.be/Pa6UTdh2r9M
Population Growth: Other Models: Harvesting: Example 2: https://youtu.be/jNAYTNhpZzk
Population Growth: Other Models: Harvesting: Example 1 Part 2: https://youtu.be/l1n6WUOxYCs
Population Growth: Other Models: Harvesting: Example 1 Part 1: https://youtu.be/ZLQEJwViIw0
Population Growth: Introduction to Other Models: https://youtu.be/-l5Anv9VA3M
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Differential Equations: Logistic Equation: Analytic Solution: https://youtu.be/BlvLWTSYDDk
Differential Equations: Population Growth: Logistic Equation: https://youtu.be/yE8aoY8Bks4
Differential Equations: Population Growth: Proportionality Constant: https://youtu.be/y4cJX0rcXqw
Differential Equations: Exponential Growth and Decay: https://youtu.be/DZtDUIZuxcg
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Differential Equations: Euler's Method: https://youtu.be/VlwVl-3oPDM
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https:/
...
https://www.youtube.com/watch?v=vt2QZLONMWQ
In this video I go over an example on differential equations and this time show that the solutions to the second-order differential equation y" + 9y = 0 are in the form of a combination of sine and cosine functions. This differential equation can be re-arranged to y" = -9y which is the same form as that in my last video on the motion of a spring. And thus as expected the solutions should be involving trigonometric functions because they model the oscillations of a spring very well.
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsE1Ms_uLy2M-31Bnw
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-spring-motion-example-1
Related Videos:
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Integrals and Work: Example 2 - Hooke's Law: http://youtu.be/h8lwvB9rOng
Derivative of Trigonometry Functions: Derivative of sin(x): http://youtu.be/elEvQ4Wu7Pk
Derivative of Trigonometry Functions: Derivative of cos(x): http://youtu.be/LMjVp-GsrCw .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm
Try our 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
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=Twu30EJ93Wg
In this video I go over Part 5 of the Laboratory Project titled Running Circles Around Circles and this time derive the parametric equations for an Epicycloid. An epicycloid is a curve formed by the path a point on a circle takes as it rotates around the OUTSIDE of another fixed circle. This is similar to a hypocycloid, which I covered in Parts 1 to 5, but for a hypocycloid the circle rotates around the INSIDE of the fixed circle. The derivation for the parametric equations for the epicycloid is also very similar to that for the hypocycloid. In the derivation I set up two right angle triangles in order to apply basic trigonometry to obtain the coordinates of the point on the outer circle.
The derivation also involves using the definition of arc length, as well as simplifying the final equations by first deriving the trig identities for sin(π-x) and cos(π-x). Although the derivation gets a bit messy because of the many angles and trigonometric ratios, it is definitely worth following the video very closely to see how distances can be derived using trigonometry. So make sure to watch this video, and watch it slowly!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhuIFzu-V4_zu15qzyQ
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/running-circles-around-circles-part-5-epicycloid-proof
Related Videos:
Laboratory Project: Running Circles Around Circles: Part 4: https://youtu.be/sypHRx10RXM
Laboratory Project: Running Circles Around Circles: Part 3: https://youtu.be/uCdvK29T5Z0
Laboratory Project: Running Circles Around Circles: Part 2: https://youtu.be/-hCw2HJF0YQ
Laboratory Project: Running Circles Around Circles: Part 1: https://youtu.be/MiCqDNQN7_E
Parametric Curves: Superellipses: https://youtu.be/JqkjQjtenPQ
Parametric Curves: Example 11: Conchoids of Nicomedes: https://youtu.be/Ir1tVdwGWec
Parametric Curves: Example 7: The Cycloid: Proof Part 1: https://youtu.be/XmHpIZqeRKk
Parametric Curves: Example 6: Graphing Devices: https://youtu.be/cwpEasc9mhQ
Parametric Curves: Example 5: Lissajous Figure: https://youtu.be/0OT1OnnAQ9I
Parametric Equations and Curves: https://youtu.be/Kd3XF4LZoFE
Parametric Equations and Polar Coordinates: https://youtu.be/usSors49Gdw .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/
...
https://www.youtube.com/watch?v=vPxcRlzC8dk
My earlier videos I went over how to precisely define and prove the limits of a function in general. In this video I use the same concept but look at one sided limits and how to precisely define them. The concept is pretty much the same as for general limits.
Download the notes in my video: https://www.dropbox.com/s/spm8htc3wbcnlzi/289%20-%20Precise%20Definition%20of%20a%20One%20Sided%20Limits.pdf
Related Videos:
One Sided Limits - Plus Examples: http://youtu.be/QA2v_NCej10
Limits - Examples Part 2 - One Sided Limits Approach: http://youtu.be/9O6UFASe4F8
Precise Definition of a Limit: http://youtu.be/zOWuWE4M2rkq
Precise Definition of a Limit - Example 1: http://youtu.be/p__GkKUswmY
Precise Definition of a Limit - Example 2: Proving limits exists: http://youtu.be/HC-ClOx1sFs .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm
Try our 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
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=Zarz1_ehv84