Population Growth: Other Models: Harvesting: Example 2
In this video I continue further into the series on other models for population growth as opposed to the basic logistic and exponential models. This time I look again at the modification of the logistic equation by adding a negative constant to it, which in terms of a fish population represents the harvesting or collecting of fish at a constant rate. This time I look at varying the values of the constant and graphing the resulting direction fields to see where the equilibrium solutions occur as well as determining at which c-values that no equilibrium solutions occur. When no equilibrium arises, this means that the fish population keeps decreasing until it completely dies offs, which indicates that overfishing took place. This is a very important video on using differential equations to model and affect decisions that fishers and fishing industries must make, so make sure to watch this video!
In this video I show that two divergent series can sum up to form a convergent series. A simple example is the sum of the divergent series {n} and {-n}. Both of these infinite series individually diverge to infinity or negative infinity, summing them up involves all terms canceling out and converging to n - n = 0. Thus the answer to the question is False, that is, the sum of 2 divergent series is not necessarily also divergent.
Time stamps:
- Question 14: 0:00
- Solution: False: 0:14
- Example of 2 divergent series summing to form a convergent series: 0:25
Full video below:
- Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L
Related Videos:
Infinite Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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In #911Truth Part 14 I have compiled together in chronological order what may very well be the most complete picture of what actually happened to Building 7: which is it got turned to dust gradually from inside out for 7 hours before falling like a hollowed out shell. World Trade Center 7 (also referred to as WTC 7, Salomon Brothers building, or “Building 7”) has been far too often used erroneously (intentionally and unintentionally) as “proof” of conventional controlled demolition; and often by only showing the few seconds where it falls down (albeit extremely quietly leaving very little rubble or seismic impact or projectiles as would be expected from anything conventional). But removing all mainstream and “mainstream alternative” narratives aside, our eyes show us exactly what happened…
I have stitched together 8 videos and sped up the majority at 45X speed to give a complete and concise view of Building 7 turning into dust, much like the rest of World Trade Center complex (which consisted of 7 buildings in total including the Twin Towers WTC 1 and 2). A full description and screenshots of the main events in each video is shown in the accompanying Hive post: https://peakd.com/history/@mes/911truth-part-14-building-7-turning-to-dust-for-over-7-hours-fast-forward-45x-speed
The original videos with sound are shown in the following “EnhancedWTCVideos” YouTube channel, and which obtains the videos from a Freedom of Information Act (FOIA) request from the National Institute of (coverup) Science and (coverup) Technology (NIST). They are listed below along with the timestamps.
1. @ 0:00 – WTC 7 not dustifying until WTC 1 falls at 10:28:22 AM.
- https://youtu.be/Gkg8_k263dI
2. @ 1:11 – Better angle of WTC 7 beginning to dustify after WTC 1 falls.
- https://youtu.be/5vev0LfjtyM
3. @ 2:50 – Dustification of WTC 7 at unconfirmed time: Likely 1 PM to 2 PM.
- https://youtu.be/QmiROP2mFkA
4. @ 5:01 – Dustification of WTC 7 from: 1:59:53 PM to 2:50:09 PM.
- https://youtu.be/WeemmQEMmGo
5. @ 6:22 – Dustification of WTC 7 from one side at unconfirmed time: between 3 PM and 4 PM?
- https://youtu.be/iPCFTWkR3x8
6. @ 7:59 – Dustification and fall of WTC 7 from 5:05:45 PM to 6:00:05 PM.
- https://youtu.be/YDafE3I2uTA
- WTC 7 falls at about 5:20:52 PM (dustification of about 7 hours).
7. @ 9:41 – WTC 7 rubble still fuming/dustifying at unconfirmed time: September 12th or 13th?
- https://youtu.be/-xddmqwuivs
8. @ 11:19 – WTC 7 rubble still fuming/dustifying at unconfirmed time: September 18th or 19th?
- https://youtu.be/9fryX_4yfAc
At the end of the 8th video and overall video in general, I have included what appears to be a memorial to the firefighters that lost their lives during 9/11… #NeverForget
Stay tuned for #911Truth Part 15...
Related Videos:
✈️#911Truth Part 8: North Tower Literally Turning to Dust (Fast Forward 45X Speed): https://peakd.com/terrorism/@mes/911truth-part-8-north-tower-literally-turning-to-dust-fast-forward-45x-speed
✈️#911Truth Part 9: North & South Towers Literally Turning to Dust (Fast Forward 45X Speed): https://peakd.com/terrorism/@mes/911truth-part-9-north-and-south-towers-literally-turning-to-dust-fast-forward-45x-speed
✈️#911Truth Part 13: Helicopter Footage of the Twin Towers Turning to Dust (Fast Forward 45X Speed): https://peakd.com/history/@mes/911truth-part-13-helicopter-footage-of-the-twin-towers-turning-to-dust-fast-forward-45x-speed
#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 prove the distance formula between 2 points in both two and three dimensions. The distance formula in 2D is readily derived using the Pythagorean theorem. In 3D we can extend the 2D distance formula by drawing a box and then applying the Pythagorean Theorem twice. Both distance formulas appear identical but with the 3D formula having the term in the z-axis. I also go over a quick example on calculating the distance between 2 points in 3D space.
The timestamps of key parts of the video are listed below:
- Distance Formula in 2D: 0:00
- Distance Formula in 3D: 1:49
- Example 4: 12:28
This video was taken from my earlier video listed below:
- Vectors and the Geometry of Space: 3D Coordinate Systems: https://youtu.be/xJ-qPJFf2gE
- Video notes: https://peakd.com/hive-128780/@mes/vector-space-and-geometry-3d-coordinate-systems
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GiAJeLMzhOsrMliibfce5m
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=Y9-7SjOxwZw
In this video I go over the geometric interpretation of the length of a cross product and show that it is indeed the area of the parallelogram formed by the two vectors a and b. I first illustrate this geometric view and then do 2 examples on it. In the first example I find a vector perpendicular to a plane spanned by 3 points, and in the second example I determine the area of this plane. Since there are 3 points, the area is just a triangle and is equal to half the parallelogram formed from the cross product length of the perpendicular vector from the first example.
The timestamps of key parts of the video are listed below:
- Geometric Characterization of Theorem 2: 0:00
- Example 3: 4:27
- Example 4: 16:24
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
Related Videos:
Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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...
https://www.youtube.com/watch?v=Y_B36uIHwOQ
In this video I go over another model for modeling population growth, and this time look at an example of a model that accounts for seasonal growth. Sometimes the growth rate is affected seasonally, such as the availability of food during summer vs. winter, etc., so it is important to account for this periodic variability in the differential equation model. To do this, it is often modeled through using a time dependent factor, usually in the form of a trigonometric function because of their periodic wave-like behavior.
In this video I derive the solution to such a seasonal-growth model, but in my next video I will look at analyzing the behavior of the solution with different values for the constants used in the model, so stay tuned for that video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtoYJ-wyX1wSSS235g
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/population-growth-other-models-seasonal-growth-example-1-part-a
Related Videos:
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
Trigonometry Identities: sin(-x) = - sin(x) and cos(-x) = cos(x): http://youtu.be/tD5EA2SXyFQ .
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Twitte
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https://www.youtube.com/watch?v=yl9GQWXpE0A
In this video my brother Mark aka MFA is back and this time with an amazing phone hack for loose headphone jacks. The hack involves taping a small piece of paper behind the phone and then have it overlap into the headphone jack slot. This makes the headphone jack more firm when inserted inside. And when placing your phone case on top, the paper is barely visible. This is a pretty epic phone hack and let me know if this works for you!
Related Videos:
How to Reverse an App Update on your iPhone: https://youtu.be/U7KKb8H4r2E
Replace Samsung S Voice with Google Voice Search on Your Galaxy S4: https://youtu.be/Gcv88jlyQOs
How to Replace the Hard Disk on your Laptop: https://youtu.be/U7qeacrvvbc .
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...
https://www.youtube.com/watch?v=0IH9deYKbfM
In this video I go over an example on how to go about determining the hydrostatic force on a dam by applying the basic principles of integration. As explained in my last video, water applies increasing pressure with depth and thus to calculate the total force due to the water pressure, we would have to look at a small sub-interval of the dam, determine an approximation for the force, and then take the limit of an infinite number of small sub-intervals. Thus as always we can write this limit as an integral and from there determine the amount of hydrostatic force on the dam. This is a very useful and important example to better understand how to apply integrals to real world physics and engineering problems, so make sure to watch this video!
Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104483&authkey=!ALQbBTRdl0hhIko&ithint=file%2cpdf
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-hydrostatic-pressure-and-force-example-1-force-on-a-dam
Related Videos:
Applications of Integrals: Hydrostatic Pressure and Force: https://youtu.be/fesMt6vmXIo
Applications of Integrals: Surface Area: https://youtu.be/JkDPmAD37qk
Applications of Integrals: Arc Length Function: https://youtu.be/MWKK3qLvSwU
Applications of Integrals: Arc Length Proof: https://youtu.be/2rb4H_rmgxg
Simplified Filter Criteria: A Dam Filter Example: http://youtu.be/yGEeYAb4Olw
Soil Mechanics 101 - Phase Relations: http://youtu.be/DtKheQcL2BU
Types of Tailings Embankments: Upstream, Downstream and Centerline Construction Methods: http://youtu.be/1wm1XR6z-QE
Buoyancy - What is Archimedes' Principle and it's Proof: http://youtu.be/mXzccaH2KNI
Area Under a Curve: Introduction to Integral Calculus: http://youtu.be/JbEbhv8ybmE
The Definite Integral and Riemann Sums: Introduction : http://youtu.be/vhMP5SKbQjU .
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iPho
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https://www.youtube.com/watch?v=Gr5H4icS4CQ
In this video I go over how the dot product is used in the vector and scalar projections of a vector onto another. The projection of one vector onto another is simply the cosine component of one vector onto another. Since we are dealing with cosines, we can write these projections to include the dot product. The vector projection is just the scalar projection multiplied by a unit vector in the direction of the vector that is being projected onto. I also go over an example on calculating both the scalar and vector projections of one vector onto another.
The timestamps of key parts of the video are listed below:
- Vector Projections: 0:00
- Scalar Projections: 3:26
- Summary of Projections: 8:54
- Example 6: 11:50
This video was taken from my earlier video listed below:
- Vectors and the Geometry of Space: The Dot Product: https://youtu.be/9uqtIk5iHys
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-dot-product
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GbHgvpTY1mx61nTNO-Msl8
Related Videos:
Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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...
https://www.youtube.com/watch?v=_XcDo2FNRe0
In this video I ask ChatGPT to give me the main paper on COVID "virus" isolation. The paper is listed below:
- A Novel Coronavirus from Patients with Pneumonia in China, 2019
- Authors: Na Zhu et al
- Published on January 24, 2020 in The New England Journal of Medicine (NEJM)
- https://www.nejm.org/doi/full/10.1056/NEJMoa2001017
ChatGPT uses artificial intelligence (AI) to synthesize data on the internet into human-like answers. Note that ChatGPT is a lot like Wikipedia so it is biased towards information already widely accepted by the mainstream public and institutions.
Note also that the ChatGPT response was from March 18, 2023 and since then the answer they have provided is different (although both papers are very similar and with many of the same authors). The following link is for the more recent June 11, 2023 response from ChatGPT: https://chat.openai.com/share/3be5aa52-b5c2-4b44-9ff6-aaebcae8fafb
The timestamps of key parts of the video are listed below:
- Disclaimer on ChatGPT: 0:00
- ChatGPT on COVID-19 "Virus" Isolation Paper: 0:59
- Paper: A Novel Coronavirus from Patients with Pneumonia in China, 2019: 2:47
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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https://www.youtube.com/watch?v=U3WKmIogG84