In this video I go over an example on Euler's Method for numerically approximating solutions to a differential equation and this time look at the initial-value problem: y' = x + y with y(0) = 1. Initially I use the step size of 0.1 to roughly approximate the solution at x = 0.1, 0.2, ..., 1.0. But to get more accurate approximations we can decrease the step size even further. As shown in this video, when we decrease the step size further and further the solution approaches closer and closer to the exact value. This is a very useful video to understand Euler's method in detail, as well as how to develop spreadsheets to calculate it, so make sure to watch this video!
In this video I go over a sequence which involves rotating triangles around a point and determining the limit of the inner angle of the triangles. To solve this I first use the Pythagorean Theorem to determine the square of the distance of one of the sides of the triangles, and then simplify it by noting it includes a geometric sum. Given that the other triangle side keeps doubling, we can thus determine a formula of the inner angle. Using exact trigonometric ratios, we can determine that the limit of the angle approaches 60 degrees.
The timestamps of key parts of the video are listed below:
- Problem 4: Find the Limit of the Angle in the Triangle: 0:00
- Solution: 1:31
- Pythagorean Theorem for the Square of the Length: 4:14
- Geometric Sum: 10:37
- Finite Geometric Sum: 12:34
- Calculating the Angle: 17:14
- Exact Trigonometric Ratios: 23:40
- Angle Approaches 60 Degrees: 25:22
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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https://www.youtube.com/watch?v=A7N455vxM54
In this video I go over a brief overview of the mainstream narrative on the supposed COVID-19 "pandemic". COVID-19 or Coronavirus Disease 2019 is a supposed "contagious disease" caused by a "virus" titled Severe Acute Respiratory Syndrome Coronavirus 2 or SARS-CoV-2. This "disease" supposedly started from an animal and seafood market in Wuhan, China in December 2019 and the "virus" supposedly transferred from bats to humans. There have supposedly been a total of 676 million "cases" and 6.8 million deaths "attributed" to COVID-19. Use the current world's population of 8.021 billion, I also provide a statistical breakdown of the given COVID figures, both in terms of absolute and relative percentages. I also go over the electron micrographs or images of the supposed "virus" as well as present its alleged genome and phylogenetic tree.
The timestamps of key parts of the video are listed below:
- Wikipedia Article on COVID-19: 0:00
- Alleged COVID-19 Cases and Deaths Figures: 2:37
- Percentage Breakdown of Cases / Deaths: 3:11
- Patient Zero in Wuhan: 7:47
- "Virus" Named SARS-CoV-2: 9:02
- Transmission of "Virus" From Bats to Humans: 10:14
- "Virus" Genome: 11:14
- "Virus" Phylogenetic Tree: 12:27
This video is taken from my earlier video listed below:
- ?#MESScience 4: Review of COVID-19 "Virus" Isolation Paper: https://youtu.be/cvDO85Rw4d8
- Video notes: https://peakd.com/hive-128780/@mes/messcience-4-review-of-covid-19-virus-isolation-paper
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0E4aQ_cq4ZDD2WGiDU5vVgx
Related Videos:
?#MESScience: MES Science Tutorials: https://mes.fm/science-playlist .
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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 .
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https://www.youtube.com/watch?v=Zarz1_ehv84
In this video I go over how to make images transparent in Microsoft Excel. With this method you can actual easily compare an image of a graph with an Excel graph. Make sure you watch this video because this will be very useful at some point in time if you are in school or working in Engineering or other sciences.
Download the notes in my video: https://www.dropbox.com/s/zbuo4awkmdnolpv/326%20-%20Transparent%20Picture%20in%20Excel%20Charts.xlsx
Related Videos:
Convert Time to number, seconds, hours and minutes in Microsoft Excel 2007: http://youtu.be/fwMKbXI98tI
Converting Numbers to Fractions in Microsoft Excel 2007: http://youtu.be/YgJBK0QjIec
Intro to Tables in Excel 2007: http://youtu.be/B_zXmunqrl4
Drop Down Lists with Microsoft Excel 2007: http://youtu.be/e7Sbcn-y9j4
Numbered Headings and Automated Table of Contents - Office Word 2007: http://youtu.be/e00xCQ0MClg
Microsoft Excel Tips: -2^2 = +4 and NOT -4!!!: http://youtu.be/9QC3ZboI3wo
Skip Blanks when Graphing in Microsoft Excel: http://youtu.be/HcCJVUd7a5Q
Automate Formulas using INDIRECT() Function in Excel: http://youtu.be/9WiBtrNq9yU .
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https://www.youtube.com/watch?v=uKjtsQZ5Ow0
In #911Truth Part 5 I explain my view that the New World Order (NWO) is ALREADY here and was ushered in on September 11, 2001. Everything else that happens in Global Geo-politics is nothing more than a formality and a gradual disclosure of the global dictatorship currently running the world.
9/11 proves the following:
- Sophisticated fabricated terror events are real.
- Advanced Hidden Free Energy technology exists.
- Advanced Hidden Sophisticated Propaganda and Human Perception Management systems exist at a global scale to keep these fabricated terror events and advanced technology hidden.
- “Countries” around the world never tow too far away from the official 9/11 narrative, even “hostile” countries.
- Wars in the Middle East the followed 9/11 are illegal, immoral, and every single politician responsible for sending troops there needs to be publicly prosecuted and likely publicly executed for unimaginable war crimes.
- All of history: past, present, and future are questionable at best.
- All highly publicized “terror” events, “riots” including Charlottesville, and “protests” are questionable at best.
- All highly publicized “companies”, “advocacy” groups, and “charities” are questionable at best.
Thus 9/11 strongly suggests that a current world government exists and may just have been ushered in on 9/11. Since 9/11 was a truly monumental event, less significant events are by DEFAULT to be considered as staged and orchestrated by the current global government unless proven otherwise, or until 9/11 if publicly resolved. 9/11 is too big to ignore, and so much of our current lives depends on assumptions as to exactly what happened on that day.
From fully understanding 9/11, and that it was orchestrated by a shadow global government using advanced hidden technology, we can then start speculating as to the current political environment. Thus it is my view that North Korea is just a giant human experimentation country, and certainly not a “threat” by any stretch, the “riots” in Charlottesville are almost certainly orchestrated through control of all sides: the KKK, Black Lives Matter, Antifa, White “Supremacists”, and so on. All of these groups are almost certainly controlled to create a divide and conquer strategy to keep people fighting other people and not our evil overlords.
Likewise, Donald Trump will be re-elected because he is the perfect candidate for this CIA-Deep State divide and conquer strategy. A loud mouth alpha-male businessman in complete contrast to the Social Justice Warrior Feminist ideology being pushed at all levels of society. Trump is also extremely unfairly attacked by the mainstream media, and thus he is viewed by some as a sympathetic figure. Now here is where the truly genius strategy comes in by the NWO. Many people are brainwashed by the fakestream media into thinking Trump is the second coming of Hitler, and many others that see through the evil MSM will side with Trump. Thus we have our Divide and Conquer strategy happening again, while the actual shadow government plots in secret. #PureGenius
Thus 9/11 can be viewed as the Opening Ceremony to the NWO and what is currently unfolding now is just the Olympic “Games”, and until maybe a Closing Ceremony in the not-to-distant future. While this all seems gloomy, there is a positive side to all of this, which is it appears that what the NWO worries the most is that people simply wake up and start “thinking” for the first time in their lives…
Stay Tuned for #911Truth Part 6…
Notes: https://peakd.com/nwo/@mes/video-notes-911truth-part-5-9-11-ushered-in-the-global-world-government-nwo-charlottesville-northkorea
Related Videos:
#911Truth video series: https://peakd.com/truth/@mes/911
#MESScience video series: https://mes.fm/science-playlist
#MESExperiments video series: https://peakd.com/mesexperiments/@mes/list
#AntiGravity video series: https://peakd.com/antigravity/@mes/series
#FreeEnergy video series: https://mes.fm/freeenergy-playlist .
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In this video I go over the definition of vectors as well as combining vectors or vector addition. A vector is a quantity that has both a magnitude and direction. Examples of vectors include displacement, velocity, and force. They are usually represented by an arrow, with the length of the arrow indicating its magnitude. If two vectors have the same magnitude and direction, they are said to be equal even if they are in different positions in space. The zero vector is the only vector with no specific direction since it has a magnitude of zero. Adding vectors is defined as just placing a vector's tail onto another vectors head. From this definition arise the Triangle Law and Parallelogram Law.
Note that I will label vectors either in bold font or with an arrow above the symbol.
The timestamps of key parts of the video are listed below:
- Definition of a Vector: 0:00
- Combining Vectors: 2:44
- Definition of Vector Addition: 4:01
- Triangle Law: 4:52
- Parallelogram Law: 5:39
- Example 1: 8:19
This video was taken from my earlier video listed below:
- Vectors and the Geometry of Space: Vectors: https://youtu.be/0lJiVlKw4Kc
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-vectors
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EiRECLVkBCcFhSpbSz8XIw
Related videos:
Vectors and Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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https://www.youtube.com/watch?v=qWtfTWogrSI
In this video I go over another example on Slant Asymptotes and this time look at the slant asymptote lines of a horizontal hyperbola, which is a hyperbola that extends outwards horizontally. The hyperbola x^2/a^2 – y^2/b^2 = 1 where a and b are constants has slant asymptote lines y = +/- (b/a)x. This is proven by applying the definition of slant asymptotes which I covered in my earlier video, and that is the limit as x approaches infinity of the difference between the function and a line approaches zero. In other words the function, in this case the hyperbola, approaches the asymptote lines. In proving this, I first rearrange the hyperbola to write it as y = f(x). But since the function involves square rooting a square, we get a two part function that can be either positive or negative, and thus to save time I combined all of the +/- terms (as well as the limit as x approaches +/- infinity) in just one limit formula. This was a shortcut on my part, but nonetheless the result is the same for this particular example as compared with doing it individually. I will be referencing this example on slant asymptotes for a horizontal hyperbola in my later videos, so make sure you watch this video and understand the derivation!
- PDF notes: https://1drv.ms/b/s!As32ynv0LoaIh5E1eR_74BRIMsvEmA
- Hive notes: https://peakd.com/mathematics/@mes/slant-asymptote-lines-example-2-horizontal-hyperbola
- Limits playlist: https://www.youtube.com/playlist?list=PLFE39AF0D7E0651AC
Related Videos:
Slant Asymptote Lines: Example 1: Rational Function: https://youtu.be/FT5yNtPeBvg
Slant Asymptote Lines + Special Case: Rational Functions and Long Division: https://youtu.be/QX2nfi5JtQs
Hyperbola - Definition and derivation of the equation: x^2/a^2 - y^2/b^2 = 1: http://youtu.be/Y6iYC4VEAi0
Limits at Infinity: Horizontal Asymptotes: http://youtu.be/6pdgb09wRvI .
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In this video I find the solutions of an infinite Maclaurin cosine series when it equals to zero. Although we aren't given that the series is a Maclaurin cosine series, we can see this to be the case by looking at our table of common Maclaurin series and replacing the x terms with -x^2. Given the periodic nature of the cosine function, we get an infinite number of solutions as a function of any given integer. I also include an important note at the end of the video about keeping track of the negative signs when transforming functions, something that my Calculus book solutions manual forgot to do!
The timestamps of key parts of the video are listed below:
- Problem 21: 0:00
- Solution: Case where x ≥ 0 is not a solution: 0:31
- Maclaurin series for cos x : 1:24
- Solutions for cos x = 0: 4:54
- Solutions for f(x) = 0: 7:38
- Note on the Solutions Manual: 9:32
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
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https://www.youtube.com/watch?v=EamOFkfeDOA
In this video I go over the gyrocompass and show how it is used to find True North by aligning itself with the Earth's rotation, thus debunking Flat Earth. A gyrocompass is just a gyroscope that is forced to remain horizontal on the Earth's surface, such as by adding compensator weights to the sides. Since a gyroscope wants to maintain its orientation when spun up, then as the Earth rotates, the gyrocompass will also want to maintain orientation but to do so it will have to lift the compensator weights. Gravity acts upon the compensator weights thus inducing precession in the gyrocompass such that it will move until it aligns with Earth's rotation. Once it aligns with Earth's rotation, there will be no more induced torque, thus no induced precession. This also means that the gyrocompass will be pointing to the True North Pole. Gyrocompasses have applications in ships and planes, especially where there are areas of magnetic compass interference, such as nearby metal or magnetic mines as in during World War 2.
I demonstrate the principle of the gyrocompass with a handheld gimbled gyroscope as well as showing a WW2 gyrocompass tutorial as well as showing factory and testing footage. The gyrocompass is an incredible engineering feet with very delicate construction, design, and rigorous testing. It also has a "phantom ring" that electronically detects the gyrocompass rotation and gradually rotates with the string that is holding up the gyrocompass. This is to prevent the string from getting tangled up and thus inducing a reverse torque to the gyrocompass. In my opinion, the gyrocompass is irrefutable evidence for Earth's rotation and is one of the best pieces of evidence against a Flat Earth. I will be going over more debunking Flat Earth videos so stay tuned!
The links shown in the video are listed below:
- MES Links: https://mes.fm/links
- Earth's Curvature Calculator: https://mes.fm/earth-curvature-calculator/
- Debunking Flat Earth playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUyOvHJiyX74GmJ79exCkh
- #AntiGravity Part 6
- Video 2: https://youtu.be/dKwwJe0znpA?t=6874
- HIVE notes: https://peakd.com/antigravity/@mes/antigravity-part-6-video-1-objects-in-rotation-defy-mainstream-physics-mes-duality-concept
- Gimbaled gyroscope: https://youtu.be/1kOL6qQf6I0
- WW2 Gyrocompass: https://youtu.be/EM051IXJD9Q
- WW2 Gyrocompass factory and testing: https://youtu.be/CNcDz1MDPE0
- Gyrocompass Wiki: https://en.wikipedia.org/wiki/Gyrocompass
MES Experiments: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUHoank-Lj9q6RGAS51QRh
Timestamps:
- Introduction and Links: 0:00
- MES Links: 1:11
- MES Earth Curvature Calculator: 1:36
- #AntiGravity Part 6: 2:07
- Gyroscope spin aligns with precession direction: 3:07
- Gyrocompass aligns with external torque: 4:14
- Gyrocompass wants to align with Earth's rotation: 8:55
- WW2 Gyrocompass: 9:35
- Gyrocompass vs Gyroscope comparison: 10:36
- WW2 Gyrocompass tutorial: 12:33
- WW2 Gyrocompass factory and testing: 19:52
- Gyrocompass Wikipedia: 23:17
- #MESExperiments playlist: 23:53
Related Videos:
- Anti-Gravity: https://www.youtube.com/playlist?list=PLai3U8-WIK0HkT4DmvQSg0XZfY5Bxkxq1
- Free Energy: https://www.youtube.com/playlist?list=PLai3U8-WIK0FKVpHL_onhaqBeVP-8qJXV
- MES Experiments: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUHoank-Lj9q6RGAS51QRh .
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