mes 3Speak Podcast

By Math Easy Solutions

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How many episodes does mes 3Speak Podcast have?

The podcast currently has 219 episodes available.

mes 3Speak Podcast episodes:

April 17, 2026Motion in Space: Velocity and Acceleration
https://3speak.tv/watch?v=mes/e443f9d3
In this video, I go over further into vector functions, and this time look at motion in space in terms of the velocity, acceleration, and position of objects moving in 2D or 3D space. Using the fact that the rate of change of the position of an object is the velocity, and likewise that the rate of change of velocity is the acceleration, I show we can write the velocity and acceleration of an object just in terms of the derivatives of the position vector. Likewise, going backwards via vector integrals, we can obtain the velocity from the acceleration vector, and the position from the velocity vector. I also do an example on centripetal force, which is derived from Isaac Newton's 2nd law of motion, F = m⋅a, and arises for circular motion. In a future video, I will show how these equations are used in the famous Kepler's Laws of planetary motion!
#math #vectors #calculus #space #physics
Timestamps:
Intro – 0:00
Calculus Book reference – 1:00
Calculus book chapter – 1:25
Topics to cover – 2:29
Motion in Space: Velocity and Acceleration – 3:25
Example 1: Moving Particle in 2D – 14:37
Example 2: Moving Particle in 3D – 27:16
Integrating Acceleration and Velocity Vectors – 41:29
Example 3: Integrating to get Velocity and Position Vectors – 43:10
Summary: Vector Integrals to Recover Velocity and Position – 1:00:30
Isaac Newton's Second Law of Motion – 1:02:19
Example 4: Centripetal Force – 1:03:09
Example 5: Horizontal Distance of Projectile – 1:20:23
Example 6: Impact Speed of Projectile – 1:43:33
Tangential and Normal Components of Acceleration – 2:07:03
Acceleration Vector in terms of Derivatives of the Position Vector – 2:25:03
Example 7: Tangential and Normal Components of Acceleration – 2:44:00
Outro – 2:55:27
Notes and playlists:
3Speak: SOON
Summary: SOON
Hive Notes: SOON
PDF Notes: https://1drv.ms/b/c/88862ef47bcaf6cd/IQDQ6cRoDbwpQIVaxkNMuZ_uAeUUOamXdKOXCFLp_yhOZQs
Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0Hxo8aPU3ezG0tcLvgJnxLB .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
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MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Email me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
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2h 57min
April 15, 2026MES Math Q/A 60: What is the Brewster's (Polarization) Angle?
https://3speak.tv/watch?v=mes/3563abbd
If you have math related questions, I may have answers.
April 8, 2026 Wednesday at 10:00 AM PST
#math #polarization #physics #aether #light
Summary: https://inleo.io/threads/view/mes/re-leothreads-2qrxqogpg
MES Math Q/A playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F1GgkU63uA9NIncxDS2q0-
All Streams: https://www.youtube.com/@mes/streams .
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: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
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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
...more
1h 55min
April 01, 2026Graphing Real Spherical Harmonics in Desmos Calculator
https://3speak.tv/watch?v=mes/a058e2ca
In this video, I graph out the real spherical harmonics using the amazing Desmos graphing calculator via a project someone made. I do a quick breakdown of the formulas they used, noting the added normalization constants, and how it matches up with our derived formulas from solving Laplace's equation in spherical coordinates. I also show what effects tinkering with the principal, orbital angular momentum, and magnetic quantum numbers has on the resulting 3D figures!
#math #sphericalharmonics #calculus #quantumphysics #desmos
Timestamps:
Real Spherical Harmonics in Desmos graphing calculator: https://www.desmos.com/calculator/nsfrepxacm – 0:00
Radial distance is stretched proportionally to the magnitude of its value on the sphere – 3:53
Principle magnetic number sets the maximum orbital angular momentum, which then sets the +/- limits of the magnetic quantum number – 5:30
Graphs of real spherical harmonics for various quantum numbers – 7:14
Graphing in Desmos – 8:19
Notes and playlists:
Hive:
Summary: https://inleo.io/threads/view/mes/re-leothreads-exowfp4p
Notes: https://peakd.com/hive-128780/@mes/220d6572
Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FHh2kZzebadnPFwO6Yi5qu .
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: [email protected]
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
...more
0min
April 01, 2026MES Math Q/A 59: What is Polarization of Waves?
https://3speak.tv/watch?v=mes/1c1d1436
If you have math related questions, I may have answers.
March 25, 2026 Wednesday at 10:00 AM PST
#math #polarization #physics #aether #light
Summary: https://inleo.io/threads/view/mes/re-leothreads-2vwtc7emv
MES Math Q/A playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F1GgkU63uA9NIncxDS2q0-
All Streams: https://www.youtube.com/@mes/streams .
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: [email protected]
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
...more
0min
March 30, 2026Real Spherical Harmonics – Removing the Imaginary Terms
https://3speak.tv/watch?v=mes/2d1e95ad
In this video, I derive the real spherical harmonics by excluding the imaginary complex i terms from the complex spherical harmonics. The real spherical harmonics are what are typically plotted when graphing atomic orbitals or magnetic fields, since they are easier to visualize in 3D and still inherit the important properties of complex spherical harmonics. I derive the proportion forms (thus excluding the proportionality constants) of the real spherical harmonics from their typical definition, and make use of complex conjugation and Euler's formula to obtain a compact formula for the cases where m is positive or negative.
#math #sphericalharmonics #calculus #quantumphysics #3d
Timestamps:
Real spherical harmonics are defined to remove the complex terms – 0:00
Complex spherical harmonics are chosen using the basis solutions rather than the linear combinations – 2:24
Real spherical harmonics in their proportional forms, ignoring the normalization constants – 3:49
Complex conjugate in polar form flips the sign of the exponential power via Euler's formula – 4:43
The Associated Legendre equation depends on m², so -m gives a solution that is proportional to that using +m, via the Rodrigues' formula – 11:23
Case where m is greater than 0 – 18:23
Case where m = 0 – 26:39
Note that this yields just the ordinary Legendre polynomial – 30:20
Case where m is less than 0 – 32:20
Putting it all together to get our real spherical harmonics in proportional form – 45:29
Writing it in more compact form – 47:53
Notes and playlists:
Hive:
Summary: https://inleo.io/threads/view/mes/re-leothreads-blfpmusf
Notes: https://peakd.com/hive-128780/@mes/220d6572
Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FHh2kZzebadnPFwO6Yi5qu .
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: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
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Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...more
0min
March 28, 2026Trailer for MES Livestream 129: Wireless Radiant Energy with Only 9 Volts | BeneficenceTV
https://3speak.tv/watch?v=mes/7422fff9
- MES Livestream 129: https://youtube.com/live/xi4Xspdzs3s
Stream notes: https://peakd.com/hive-128780/@mes/livestream-129-beneficencetv-radiant-energy-9xm
Clip taken from: https://drive.google.com/file/d/17QYWOPVyCDOJ2ideZSeAXvlkpIICmWrf/view
Livestream Trailers playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HXpKO2zvaB63b2n7IerM3z
BeneficenceTV playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EbRnMsUBx2RxlerL7GQuLX
MES Livestreams: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn
All streams: https://www.youtube.com/@mes/streams
#BeneficenceTV #FreeEnergy #VortexCoil #technology #ZeroPointEnergy
.
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: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
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...more
0min
March 27, 2026Spherical Harmonics – Solutions to the Angular Laplacian
https://3speak.tv/watch?v=mes/65445edf
In this video, I go over the actual spherical harmonics equations, which exclude the radial terms from the solid spherical harmonics I had derived earlier. The spherical harmonics can be combined into one function that contains all of the angular terms, thus essentially treating the sphere's radius as a constant. I also show how the spherical harmonics can be considered the solution of a modified Laplace equation, and hence a modified Laplace operator termed the angular Laplacian.
#math #sphericalharmonics #calculus #quantumphysics #laplace
Timestamps:
Spherical harmonics excludes the radial term and only has the angular terms – 0:00
Combine the radial terms into a function Y – 1:02
Y is considered the solution to the angular Laplacian – 2:44
Angular Laplacian excludes the radial terms – 4:33
Factor out the Y term from the radial term – 6:47
Choose separation constants just as with solid spherical harmonics – 7:28
Obtain the typical equation whose solution Y is the spherical harmonics – 8:56
Equation for Y, defined earlier – 10:13
Notes and playlists:
Hive:
Summary: https://inleo.io/threads/view/mes/re-leothreads-gahhcp2z
Notes: https://peakd.com/hive-128780/@mes/220d6572
Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FHh2kZzebadnPFwO6Yi5qu .
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: [email protected]
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
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iPhone and Android Apps: https://mes.fm/mobile-apps
...more
0min
March 23, 2026Solid Spherical Harmonics – Solutions to Laplace's Equation in Spherical Coordinates
https://3speak.tv/watch?v=mes/9d41089b
In this video, I go over the derivation of the solid spherical harmonics, which are solutions to the Laplace equation in spherical harmonics. They are referred to as "solid" because they include the radial term as well. I use separation of variables to define a function that is a multiple of 3 separated functions, and then selected separation constants to obtain a periodic, repeating solution. I solve the function corresponding to the azimuthal angle ɸ via the derivative of an exponential function. The function containing the radial r term is the Euler-Cauchy equation, and I solve it via substitution. The middle function is the associated Legendre equation, whose solution is beyond the scope of this video, so I just plugged in the corresponding function. Combining all of these obtains our solid spherical harmonics!
#math #sphericalharmonics #calculus #quantumphysics #laplace
Timestamps:
Solid spherical harmonics are the solutions to the Laplace Equation (setting the Laplacian = 0) in spherical harmonics – 00:00
Apply separation of variables and assume the solution is a multiplication of 3 functions –03:50
Set each equation into their corresponding separation constants and ensure a periodic solution – 12:20
The first constant is selected such that the function in terms of ɸ is periodic about 2π radians or 360 degrees – 16:33
The solution of the function with ɸ has complex / imaginary numbers, whose general solution is a linear combination of two basis functions – 21:05
Converting the function to trigonometric form via Euler's formula – 24:00
The constant negative sign in -m² ensures m is an integer value – 25:53
The second constant is chosen to obtain the Euler-Cauchy equation which I solve via substitution – 33:47
Applying the quadratic equation to obtain two basis solutions – 39:23
The general solution is the linear combination of the two basis solutions – 44:58
The middle equation is the key to spherical harmonics – 49:14
Obtain the associated Legendre equation, whose solution is in terms of the Legendre polynomials via Rodrigues' formula – 59:14
The derivation of the Legendre polynomials is outside the scope of this video, but see Mike, the Mathematician’s @mikethemathematician playlist https://www.youtube.com/playlist?list=PLLXsDm32L84jhw_OFGVYuKHgLB9yuPTnA – 1:06:36
Obtaining the solid spherical harmonics by putting the solutions to the separated equations together – 1:08:15
Writing out the associated Legendre function in compact form – 1:13:47
Notes and playlists:
Hive:
Summary: https://inleo.io/threads/view/mes/re-leothreads-2tekjj63p
Notes: https://peakd.com/hive-128780/@mes/220d6572
Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FHh2kZzebadnPFwO6Yi5qu .
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: [email protected]
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
...more
0min
March 20, 2026Laplace Operator (Laplacian) in Spherical Coordinates – PROOF
https://3speak.tv/watch?v=mes/034f3436
In this video I derive the Laplace Operator or Laplacian in spherical coordinates by applying the Laplacian in polar coordinates twice: once for the azimuthal (ф) angle and once for the polar angle (θ). Adding the two polar Laplacians, cancelling out terms, and writing the partial derivatives in terms of the spherical coordinates, we obtain the Laplace Operator in spherical coordinates!
#math #polarcoordinates #calculus #sphericalcoordinates #multivariablecalculus
Timestamps:
Converting rectangular coordinates to spherical coordinates – 0:00
Will apply the Laplacian in polar coordinates twice – 9:25
Applying the Laplacian in polar coordinates to the x-y terms – 10:38
Applying the Laplacian in polar coordinates to the z-s terms – 13:43
Adding the two Laplacians and canceling out terms – 17:15
Evaluating the partial derivative in terms of s – 20:20
Combining all the terms, we obtain our Laplace Operator in spherical coordinates – 30:31
Simplifying the Laplacian to match up with Wikipedia – 37:14
Double-checking our Laplacian in Spherical Coordinates with Wikipedia – 39:57
Notes and playlists:
Hive:
Summary: https://inleo.io/threads/view/mes/re-leothreads-2q5fx2jfy
Notes: https://peakd.com/hive-128780/@mes/220d6572
Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FHh2kZzebadnPFwO6Yi5qu .
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: [email protected]
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
...more
42min
March 18, 2026Laplace Operator (Laplacian) in Polar Coordinates – PROOF
https://3speak.tv/watch?v=mes/294e58ab
In this video I derive the Laplace Operator or Laplacian in polar coordinates, which will come in handy when I derive the Laplacian in spherical coordinates in the next video. Since polar coordinates are in two dimensions (2D), the corresponding Laplacian is also in 2D, and is the sum of the second partial derivatives of a function in terms of x and y. I use the tree structure for remembering the order of chain rule for partial derivatives to first write the first partial derivative of x and y in terms of their corresponding polar coordinates r and θ. The second partial derivative is simply the partial derivative of the first partial derivative. After a lot of algebra and cancellations, I obtain the Laplacian in Polar Coordinates! Note that in the derivation I used the symmetry of partial derivatives, but after watching this video again, I realized it's not actually needed as the terms cancel without it — let me know if you spot which terms these are!
#math #polarcoordinates #calculus #partialdifferentialequation #multivariablecalculus
Timestamps:
Derivation based on Michael Dabkowski's Mike, the Mathematician YouTube channel @mikethemathematician – 0:00
Laplace operator in 2D rectangular coordinates – 1:20
Converting rectangular coordinates to polar coordinates – 2:22
Writing the first partial derivative using the chain rule and associated Tree Structure – 5:15
Obtaining first partial derivative in terms of x by plugging in our polar coordinates conversion to get rid of x and y terms – 10:08
Obtaining first partial derivative in terms of y using similar steps – 20:33
Obtaining the second partial derivative in terms of x – 25:13
Obtaining the second partial derivative in terms of y – 33:21
Symmetry of second derivatives (Schwarz integrability condition or Clairaut's theorem): Partial derivative of a partial derivative can switch order – 39:50
Adding second partial derivatives to obtain our Laplacian in polar coordinates – 41:30
Note that I could have canceled terms without even using the symmetry of second derivatives!
Double-checking our equation with Wikipedia – 54:08
Notes and playlists:
Hive: SOON
Summary: https://inleo.io/threads/view/mes/re-leothreads-tvmwb2zs
Notes: https://peakd.com/hive-128780/@mes/220d6572
Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FHh2kZzebadnPFwO6Yi5qu .
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: [email protected]
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
...more
0min

FAQs about mes 3Speak Podcast:

How many episodes does mes 3Speak Podcast have?

The podcast currently has 219 episodes available.