Applied Project: The Shape of a Can - The Science behind Can Manufacturing
In this video I explore why the shape of cans that you see in the supermarket are the way they are and use calculus to determine what ratios of can height to can radius are used in real life. This is an applied project question in my calculus text book and I thought it was really interesting and worth doing a math easy on it! Enjoy!
In this video I show how to visually compare any column of cells in Microsoft Office 2013 by using the Quick Analysis Option to show Data Bars which represent the relative size of each cell in comparison with the largest value in the column. This is a great way to visually see the value of any cell as well as the minimum, maximum and average or mean of an entire column of cells!
Download the notes in my video: http://1drv.ms/1dxWl42
Related Videos:
Microsoft Excel: Graphing too many data points - Simple Solution: http://youtu.be/jKwFDR5X1ZY
Intro to Tables in Excel 2007: http://youtu.be/B_zXmunqrl4
Adding Secondary Vertical and Horizontal Axes in Microsoft Excel: http://youtu.be/fhPyaWzIQVk
Converting Text to a Table using "Fixed Width Text to Columns" in Microsoft Excel: http://youtu.be/wOpcnsMHb6Y
Remove Trendline from the Legend in Microsoft Excel: http://youtu.be/njp-zx_5Dq0
Trendline Slope and Intercept Formulas in Microsoft Excel: http://youtu.be/DTDY9RL35b8
ISERROR and ISERR Functions in Microsoft Excel: http://youtu.be/MrZLtpsLktM
Transparent Images in Microsoft Excel + Useful Tip: http://youtu.be/uKjtsQZ5Ow0
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
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=EjvAhSLmJgw
In this video I have uploaded Eric Laithwaite's 1974 lecture titled The Time has Come the Walrus Said. This is the fifth of his series of Christmas Lectures at the Royal Institution, and which are in Eric's typical Alice in Wonderland theme. In this fifth lecture Eric further explores gyroscopes, and again demonstrates their ability to precess without the expected inertia from mainstream physics. He demonstrates this with his "demolition experiment" by showing that a precessing gyroscope will not break a wooden stick even though the same non-spinning gyroscope moving at the same speed would demolish the stick! In another gyro experiment, Eric shows the power of force precession in that a gyroscope can rise and violently shake the entire table when it is forced to precess counter to its "desired" direction. Eric goes over further gyroscope demonstrations and makes a very interesting table of physical phenomena with specific areas that require more research while relating them to other known phenomena.
Following the gyroscopic or "inertial" demonstrations, Eric explores further into electromagnetism. He also use the concept of analogies, which he calls "fairy stories", to help explain complex phenomena, such as "lines of force" to describe the force exerted by a magnet, even though such analogies are fundamentally incomplete or imaginary. Finally, Eric demonstrates a working prototype of a magnetic levitation (Maglev) train model using a linear induction motor, which is a typical circular motor but rolled out and flattened. Eric was publicly praised for his work on Maglev and was even called the "Father of Maglev" for his pioneering work on Maglev trains. He was well ahead of his time and even of the current modern time, as Maglev trains are still widely adopted.
Watch more Eric Laithwaite lectures: https://www.youtube.com/playlist?list=PLai3U8-WIK0FZChU_6OaCmWA2byX1oEM3
The links to the original videos on the Royal Institution website are shown below:
- Lecture 1: https://www.rigb.org/christmas-lectures/watch/1974/the-engineer-through-the-looking-glass/looking-glass-house
- Lecture 2: https://www.rigb.org/christmas-lectures/watch/1974/the-engineer-through-the-looking-glass/tweedledum-and-tweedledee
- Lecture 3: https://www.rigb.org/christmas-lectures/watch/1974/the-engineer-through-the-looking-glass/jam-yesterday-jam-tomorrow
- Lecture 4: https://www.rigb.org/christmas-lectures/watch/1974/the-engineer-through-the-looking-glass/the-jabberwock
- Lecture 5: https://www.rigb.org/christmas-lectures/watch/1974/the-engineer-through-the-looking-glass/the-time-has-come-the-walrus-said
- Lecture 6: https://www.rigb.org/christmas-lectures/watch/1974/the-engineer-through-the-looking-glass/its-my-own-invention
Related Videos:
#AntiGravity video series: https://peakd.com/antigravity/@mes/series
#MESExperiments video series: https://peakd.com/mesexperiments/@mes/list
DRAFT #MESExperiments video series: https://mes.fm/experiments-draft .
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https://www.youtube.com/watch?v=NHG6niagCHA
In this video, my brother Mark aka MFA goes over the concept of betting odds in sports and how to read and understand them. There are several different betting odds formats, which is the reason why some people may find them confusing. In this video the most common formats are discussed: American Odds, Fractional, and Decimal Odds.
An example of American Odds is the Cleveland Cavaliers are +360 to win the 2016-2017 NBA Championship. This means that if you were to bet $100, you would win $360.
An example of Fractional Odds is the Golden State Warriors are 4/5 to win the 2016-2017 NBA Championship. This means if you were to bet $500 then you would $400.
An example of Decimal Odds is the Toronto Raptors are 36.00 to win the 2016-2017 NBA Championship. This means if you were to bet $1 you would win a total of $36, which includes your $1 bet. This system is different from the American and Fractional Odds systems in that the number written down is the total amount you win while the other systems list the total profit.
Different people prefer different systems based on what they find easier to read and understand, so many websites usually list several types of systems.
Make sure to watch this video to learn in more detail how to read sports betting!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtNjMk3a2irftr19lA
View Video Notes on Steemit: https://steemit.com/betting/@mes/how-to-read-sports-betting-odds-american-fractional-and-decimal-odds
Related Videos:
NBA Mid Range vs. Close Range vs. Three Point Shots: Which is the most effective?: https://youtu.be/ljkywWmq24E
LeBron James' Max Contract in the 2017/2018 Season: https://youtu.be/oUM9Oa14Oy0
NBA Free Agency and Max Contracts: Introduction: http://youtu.be/osDN-bnPULY
Odds of Winning the Lottery: http://youtu.be/dVNFhu6tMQc
NCAA vs. NBA 3 Point Line: http://youtu.be/1__25TpOdB0
Poker: What is Equity?: http://youtu.be/xhZOfQGteAo
Odds of Having a Perfect NCAA March Madness Bracket: http://youtu.be/It1sCq9cAFM .
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https://www.youtube.com/watch?v=Kaf7IfPqt28
In this video I go over the equation of a plane and derive it by using the Dot Product. A plane is a flat set of points in 3D. If we draw a vector parallel to it and another vector perpendicular (or normal) to the plane, then the resulting dot product of these 2 vectors must equal 0. This can then be used to derive the equation of a plane. I write the equation in 2 forms, a longer one and a shortened one that replaces the constants with the term "d".
This video was taken from my earlier video listed below:
- Discovery Project: The Geometry of a Tetrahedron: https://youtu.be/yRws7Jk2iHU
- Video notes: https://peakd.com/hive-128780/@mes/discovery-project-geometry-of-a-tetrahedron
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GoEi9wxl8nTFcfw1ay-_1T
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In this video I go over the example of determining the center of mass of a semi-circular plate using the formulas for centers of mass that I determined in my last video. To simplify this problem, I use the fact that a semi-circle is symmetric about the y-axis, thus its center of mass must lie on the y-axis. Thus we only need to solve for the center of mass y-variable. And in that integral I also show how we can simplify the integral by first noticing that the integrand is in fact an even function. This is a very useful video for not only showing how to apply the formulas of centers of mass but also on how to implement integral and symmetry properties to greatly simplify the integral, so make sure to watch this video!
Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104606&authkey=!ACbH4sbFg10MR54&ithint=file%2cpdf
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-moments-and-centers-of-mass-example-2-semi-circle
Related Videos:
Moments and Centers of Mass: Constant Density: https://youtu.be/3bglr1sRWUc
Moments and Centers of Mass: Example 1: https://youtu.be/55jrfODcbWY
Moments and Centers of Mass: Introduction: https://youtu.be/lLSo5Hck6FM
Hydrostatic Pressure and Force: Example 2: Force on a Drum: https://youtu.be/8tZ86Iw68l8
Hydrostatic Pressure and Force: Example 1: Force on a Dam: https://youtu.be/Gr5H4icS4CQ
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/mXzccaH2KN
Symmetry in Integrals: Even vs. Odd Integrals: http://youtu.be/NbwJOQnT1eM
The Area of an Ellipse (and Circle): http://youtu.be/7hSkKPQA71s .
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https://www.youtube.com/watch?v=vfCMuvqOCFM
Want to know the secret to getting millions of views and subscribers on your YouTube channel?? Well so do I. But in the meantime, you can pretend you have a lot of views with Google Chrome. This browser as a useful tool in which you can right click any object on the browser and click inspect element and change the appearance of the webpage. Watch the video to learn more!
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Hack into Any Webpage with Any Browser!!!: http://youtu.be/lnwHh5XxR4E .
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https://www.youtube.com/watch?v=Jxo23pJApl4
Did you accidentally download the Babylon Toolbar when downloading another program and now you are having trouble getting rid of it?? Well this tutorial is a must see because it not only shows how to get your default Internet Explorer Browser browser settings back but it also shows how to completely remove Babylon from your computer as well!
Related Videos:
Completely Remove Babylon Toolbar/Search/Settings from Mozilla Firefox!!: http://youtu.be/lUcOy3fojr0
Completely Remove Babylon Toolbar/Search/Settings from Google Chrome!!: http://youtu.be/3JenkmYXBWc
Search Any Website Easily with URL Keyword Search for Mozilla FireFox and Google Chrome!: http://youtu.be/XSDHhbnIjhs .
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https://www.youtube.com/watch?v=5EBoBvr3vmw
In this video I go over a list of 8 properties of vectors in terms of addition and scalar multiplication. I also provide algebraic proofs for properties 1 and 2. The remaining properties, however, are fairly straightforward and so I only briefly go over them. Property 1, a + b = b + a, be seen from the Parallelogram Law and Property 2 (called the associative law), a + (b + c) = (a + b) + c, can be proved by repeated use of the Triangle Law.
The timestamps of key parts of the video are listed below:
- List of 8 Vector Properties: 0:00
- Proof of Property 1: 1:39
- Proof of Property 2: 4:32
- Other Properties: 8:55
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
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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=fvzgdGsdIXM
In this video I go over tetrahedral numbers and provide a proof of their formula using mathematical induction. This video was requested by Dominic from Strode College in the UK, and is a good follow-up from my earlier video on the sum of consecutive integers.
A tetrahedral number is a number that can be visually represented as 3 sided pyramid, that is a tetrahedron. For example the numbers 1, 4, and 10 can all be visualized as a stack of balls in a tetrahedron pattern. In fact, the tetrahedron is just the sum of consecutive "triangular numbers", which are numbers that can be represented by an equilateral triangle.
I cover triangular or triangle numbers as well, and show that their formula is the sum of n consecutive integers. Finally, I use the triangle number formula as well as the principle of mathematical induction to prove the formula for a tetrahedron number. This was the first time I had learned about tetrahedron numbers so this was an interesting topic to cover. If you have any other video requests please let me know and I may cover it!
The topics covered as well as their timestamps are listed below.
- Introduction: 0:00
- Topics to Cover: 0:45
1. Shoutout to Dominic from Strode College: 1:22
2. Tetrahedral Numbers: 2:26
3. Triangular Numbers: 7:56
- Formula for a Triangular Number: 8:42
- Visualizing the Triangular Number Formula: 10:33
4. Formula for a Tetrahedral Number: 13:51
- Proof by Mathematical Induction: 17:37
Download Video Notes: https://1drv.ms/b/s!As32ynv0LoaIibBbOJ0HyyI1sOoEhw?e=VxJ3Yv
View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/tetrahedral-numbers-proof
Related Videos:
Summations Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HyAqJRuDIRPUAvO_3ytXtu
Sum of the squares of "n" Consecutive integers - Simple Proof: https://peakd.com/hive-128780/@mes/sum-of-the-squares-of-n-consecutive-integers-proof .
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https://www.youtube.com/watch?v=no1eZocpbAg