The Lazy Engineer
The Lazy Engineer
  • Видео 103
  • Просмотров 5 082 794
ColorNURBS demo (for Isogeometric Analysis Visualization) - Grasshopper / Rhino
Demo how to use ColorNURBS to color a NURBS surface in Grasshopper / Rhino by specifying values at control points.
Link to forum discussion:
discourse.mcneel.com/t/colornurbs-grasshopper-add-on-color-nurbs-surface-by-control-point-values/82198
link to the .gha file and .gh demo file:
github.com/thelazyengineer/ColorNURBS
1) download .gha file
2) copy and paste into the /../grasshopper/libraries/ folder
3) start rhino / grasshopper
4) open .gh demo file
Просмотров: 4 486

Видео

Saving Monkeys with CALCULUS
Просмотров 6 тыс.6 лет назад
How to save monkeys with calculus. Sources Human Drag coef: Koo, Mahdi Al-Obaidi. Calculation of Aerodynamic Drag of Human Being in Various Positions. Figure 3. "Drag coefficient of various Positions with Turbulence Models." 2013. www.taylors.edu.my/EURECA/2014/downloads/02.pdf Average Chimp size: g.co/kgs/cVen8w Drag Coefficient of Standard Arrow: Meyer, H.O. Applications of Physics to Archery...
Differential Equations - 41 - Mechanical Vibrations (Modelling)
Просмотров 60 тыс.6 лет назад
Deriving the 2nd order differential equation for vibrations
Differential Equations - 40 - Variation of Parameters using Wronskian
Просмотров 31 тыс.6 лет назад
Solving y'' y=tan(t) using the Wronskian
Differential Equations - 39 - Variation of Parameters (y''+y=tant)
Просмотров 15 тыс.6 лет назад
Solving y'' y = tan(t) using the method of variation of parameters.
Differential Equations - 38 - Variation of Parameters (Non-homogeneous)
Просмотров 39 тыс.6 лет назад
Solving a 2nd order linear non homogeneous differential equation using the method of variation of parameters. 2y''-y'-y=2e^t
Differential Equations - 37 - Undetermined Coefficients with Linearly Dependent Particular Solution
Просмотров 10 тыс.6 лет назад
How to solve a 2nd order linear non homogeneous differential equation using the method of undetermined coefficients when the particular solution form has a term that is linearly dependent with a term in the homogeneous form
Differential Equations - 36 - Tricky Undetermined Coefficients Example ( t*cos(t) )
Просмотров 12 тыс.6 лет назад
We work through a trickier example using Undetermined Coefficients.
RARE Integration Strategy - You won't learn this in Calculus
Просмотров 88 тыс.6 лет назад
A powerful, uncommon, advanced integration technique for integrating inverse functions. You probably won't learn this in school!
The Integral of ln(x)
Просмотров 25 тыс.6 лет назад
evaluating the indefinite integral of lnx (the natural log of x)
Differential Equations - 35 - Undetermined Coefficients (Ae^bt)
Просмотров 10 тыс.6 лет назад
How to solve a non homogeneous 2nd order differential equation with an exponential function using the method of undetermined coefficients
The Integral of sin(2x)/sin(4x)
Просмотров 12 тыс.6 лет назад
Evaluating the indefinite integral of sin2x/sin4x
ASMR - The Brutal Integral of sec(x) - Bedtime Integration
Просмотров 39 тыс.6 лет назад
Listen to my lovely voice narrate the difficult integral that is secx. Perfect video for those that have gone down a youtube math rabbit hole at 4 am.
The Integral of (1-tanx)/(1+tanx)
Просмотров 60 тыс.6 лет назад
Evaluating the indefinite integral of (1-tan(x))/(1 tan(x))
Differential Equations - 34 - Undetermined Coefficients | Acos(wt)+Bsin(wt)
Просмотров 27 тыс.6 лет назад
How to solve a non homogeneous 2nd order differential equation with an oscillatory function using the method of undetermined coefficients: y''-4y' 13y=sin2t
Differential Equations - 33 - Undetermined Coefficients (At^2+Bt+C)
Просмотров 15 тыс.6 лет назад
Differential Equations - 33 - Undetermined Coefficients (At^2 Bt C)
Differential Equations - 32 - Intro to Nonhomogeneous equations
Просмотров 15 тыс.6 лет назад
Differential Equations - 32 - Intro to Nonhomogeneous equations
Visualizing 4D Geometry - A Journey Into the 4th Dimension [Part 2]
Просмотров 799 тыс.6 лет назад
Visualizing 4D Geometry - A Journey Into the 4th Dimension [Part 2]
Differential Equations - 31 - The Wronskian
Просмотров 183 тыс.6 лет назад
Differential Equations - 31 - The Wronskian
Differential Equations - 30 - REPEATED ROOTS - Euler's Equation (at^2y''+bty'+cy=0)
Просмотров 10 тыс.6 лет назад
Differential Equations - 30 - REPEATED ROOTS - Euler's Equation (at^2y'' bty' cy=0)
Differential Equations - 29 - COMPLEX ROOTS - Euler's Equation (at^2y''+bty'+cy=0)
Просмотров 14 тыс.6 лет назад
Differential Equations - 29 - COMPLEX ROOTS - Euler's Equation (at^2y'' bty' cy=0)
Differential Equations - 28 - REAL ROOTS - Euler's Equation (at^2y''+bty'+cy=0)
Просмотров 9 тыс.6 лет назад
Differential Equations - 28 - REAL ROOTS - Euler's Equation (at^2y'' bty' cy=0)
Differential Equations - 27 - Euler's Equation (at^2y''+bty'+cy=0)
Просмотров 29 тыс.6 лет назад
Differential Equations - 27 - Euler's Equation (at^2y'' bty' cy=0)
Differential Equations - 4 - EXAMPLE - Steady State solution and Stability (y'=xy)
Просмотров 43 тыс.6 лет назад
Differential Equations - 4 - EXAMPLE - Steady State solution and Stability (y'=xy)
A Journey into the 4th Dimension - Perspective [Part 1]
Просмотров 1,3 млн6 лет назад
A Journey into the 4th Dimension - Perspective [Part 1]
Differential Equations - 26 - Repeated Roots case EXAMPLE
Просмотров 15 тыс.6 лет назад
Differential Equations - 26 - Repeated Roots case EXAMPLE
Differential Equations - 25 - 2nd Order - Repeated Roots
Просмотров 18 тыс.6 лет назад
Differential Equations - 25 - 2nd Order - Repeated Roots
MATLAB - How to make an animated Bar Chart with Color Interpolation
Просмотров 10 тыс.6 лет назад
MATLAB - How to make an animated Bar Chart with Color Interpolation
What are Bezier Curves and How can I draw them in MATLAB
Просмотров 31 тыс.6 лет назад
What are Bezier Curves and How can I draw them in MATLAB
Differential Equations - 24 - 2nd Order - Complex Roots (r=a+bi)
Просмотров 48 тыс.7 лет назад
Differential Equations - 24 - 2nd Order - Complex Roots (r=a bi)

Комментарии

  • @thepotassiumoverlord1
    @thepotassiumoverlord1 День назад

    Dose liquid act different in 4d? Also the 4th dimension is width

  • @martianlemon6245
    @martianlemon6245 3 дня назад

    Do 4d beings have a different number of platonic solids?

  • @richmyjz
    @richmyjz 4 дня назад

    A dissected box hugging itself is beautiful

  • @adamjahani4494
    @adamjahani4494 5 дней назад

    Hey sorry to ask a stupid question but I’m taking linear algebra in the summer and we have only 4 weeks to learn it with a test every week. It is going extremely fast. I have a question regarding a pivot. Are pivots just the numbers on the diagonal that have a 0 under it? How is the negative 1 a pivot? Thanks!

  • @102ndsmirnov7
    @102ndsmirnov7 6 дней назад

    Thank you immensely! These are the clearest and most concise explanations of these devilish equations I've found online. Helping me through the maths for chemical engineering.

  • @vitalchance5768
    @vitalchance5768 7 дней назад

    This is not a proof. Maybe solid reasoning but not confirmed by strict math.

  • @adun81
    @adun81 10 дней назад

    Many thanks🙏🙏 that was cool😅

  • @emmashoo3577
    @emmashoo3577 11 дней назад

    You sound so much like Chris Pratt

    • @TheLazyEngineer
      @TheLazyEngineer 11 дней назад

      That's funny. Ive also had random people come up to me and tell me I look like him

  • @Dormant6996
    @Dormant6996 12 дней назад

    Where did you go man? I just recently watched your 4D explanation videos and your last upload was like 5 years ago, And I'm wondering why you stopped

  • @rmx4087
    @rmx4087 14 дней назад

    Reported UFO behavior comes to mind.

  • @EmmanuelNkumbwisha
    @EmmanuelNkumbwisha 14 дней назад

    I love you 💓🎉

  • @kauemv2
    @kauemv2 14 дней назад

    Why Hollywood sci-fy never made a movie about 4D aliens?? Or did they?

  • @ankitait2
    @ankitait2 19 дней назад

    Human beings see in 2 dimensions and perceive the 3rd. I wonder if 4d beings see in 3d and perceive the 4th.

  • @coltonyork6636
    @coltonyork6636 21 день назад

    Post next vid

  • @eddieleyva6808
    @eddieleyva6808 23 дня назад

    Can I send you pictures

  • @thebrutaltooth1506
    @thebrutaltooth1506 26 дней назад

    In the 4th dimention you can`t block adds

  • @davidsapir9638
    @davidsapir9638 27 дней назад

    I watch this video at least once a month, it's so well done and insanely thought provoking. And the atmospheric soundtrack is perfect.

  • @johnmorrison3465
    @johnmorrison3465 28 дней назад

    this is so cool, and resides so many questions for me. 3 of them are, what would a 3d worlder see if they stepped into the 4d cube and the cube continued beyond its intersection with our 3d space? what would a combination of a cone and cube look like in our 3d intersection? what would 3d space look like in the fourth dimension?

  • @dwacheopus
    @dwacheopus Месяц назад

    Haha. That's the reason you need to learn math for :D

  • @Jaggerbush
    @Jaggerbush Месяц назад

    But what would it look like if a person entered our reality from the 4th dimension?

  • @dwacheopus
    @dwacheopus Месяц назад

    this is the most genius explanation on the youtube

  • @strictblaster4539
    @strictblaster4539 Месяц назад

    Tbh it is helpful for engineering students plus class 12 students too....ur teaching is awesome ...thank you sir for ur amazing teaching skills and plz continue the series

  • @lucaswild6533
    @lucaswild6533 Месяц назад

    Marvellous. I feel like I touched another existence, even if only by one momentary slice at a time. Thank you.

  • @markusklyver6277
    @markusklyver6277 Месяц назад

    Imma need the code for this

  • @stoplayin21
    @stoplayin21 Месяц назад

    So when bills come out of thin air is it coming from the 4th dimension?

  • @stoplayin21
    @stoplayin21 Месяц назад

    This what schizophrenic people may see slices of 4D world.

  • @joshualimkl
    @joshualimkl Месяц назад

    What if you switch the position of y1 and y2 and their derivatives as well in the wronskian matrix? Does it yield different answer?

    • @TheLazyEngineer
      @TheLazyEngineer Месяц назад

      The determinant of a matrix is an invariant, meaning if you swap the columns it will be the same.

  • @Workoutwithfayomi
    @Workoutwithfayomi Месяц назад

    At 6:27, you are meant to do integration by part, but you threw the X attached to the exponential function

    • @TheLazyEngineer
      @TheLazyEngineer Месяц назад

      How so?

    • @Workoutwithfayomi
      @Workoutwithfayomi Месяц назад

      @@TheLazyEngineer X is multiplied by an exponential. Okay, where did the X go? At least after integrating the exponential we still have the X multiplied by it untouched

    • @TheLazyEngineer
      @TheLazyEngineer Месяц назад

      @@WorkoutwithfayomiIm assuming you are talking about integral(x*exp(-x^2/2)). I used a change of variables and integrated with respect to u. I don’t see anything wrong at the moment. Take the derivative of the result, and you recover the integrand.

  • @goutampoddar3325
    @goutampoddar3325 Месяц назад

    Superb!

  • @natashajoyy4223
    @natashajoyy4223 Месяц назад

    “And you get a mess !”😂😂😂😂😂😂😂😂

  • @evelynpersson7024
    @evelynpersson7024 Месяц назад

    I love you

  • @Workoutwithfayomi
    @Workoutwithfayomi Месяц назад

    i don't understand. aren't we meant to find the expression of the velocity at time t =0? Why then are we solving for general velocity(function) equation again. V (0) =C + mg/k, which is the velocity at time t=0

  • @marasini
    @marasini Месяц назад

    4D is good but can u please make it for 3D, really need that

  • @anacsgo
    @anacsgo Месяц назад

    thank u bro

  • @Cadlex
    @Cadlex Месяц назад

    To truly imagine the fourth dimension (A.K.A Time), you need to see all the sides of a cube at once so then you can imagine it as a square and imagine a 4D object.

  • @JohnDoe-rm1kw
    @JohnDoe-rm1kw Месяц назад

    The legend says : The part #3 was never uploaded .. software has changed .. major parts rewritten .. 🤣🤣 is there a chance to see continuation of that great work?

  • @JayS.-mm3qr
    @JayS.-mm3qr Месяц назад

    This video is glorious

  • @cjbankston
    @cjbankston Месяц назад

    Great video on a complex subject like 4D geometry. It makes me wonder, could it be every person who have ever live and are no longer with us have gone to a 4D world.

  • @tomriddle9489
    @tomriddle9489 Месяц назад

    thanks

  • @kenday82
    @kenday82 Месяц назад

    How does it get In-N-Out of our plane to begin with?

  • @thegooodguy
    @thegooodguy Месяц назад

    just finished death's end by liu cixin and couldn't wrap my mind around description of 4d space and 3d objects seen from 4d space. this is by far the best video on the topic, thanks

  • @thomasjames1067
    @thomasjames1067 2 месяца назад

    So I found my way here in search of an explanation that doesn't rely on algebraic conventions, but your explanation also came to the same conclusion as every other place I've searched. My question is simply: Is there a geometric explanation for why we consider don't consider R^2 to be contained within R^3; or more generally, why don't we consider R^(n-1) to be contained within R^n? Algebraically, its obvious based on the rules of the structures in question. From a geometric standpoint it seems almost trivial to consider lower dimensional spaces as subspaces of higher-dimensional ones, and just make the definition that all vectors of finite dimensions less than n have a trail of zeros equal to n minus their dimension, especially if some subset of the basis vectors in R^n span the lower dimensional spaces. That's my rant, not directed at you, just at Math™. Great video!

    • @TheLazyEngineer
      @TheLazyEngineer 2 месяца назад

      Vector spaces are algebraic concepts with precise properties. they exist outside of geometry. It’s a good question, but I think it’s important to separate geometry and vector spaces - at least in terms of mathematical definitions. Your question reminds me of a story: In grad school I took a functional analysis course. I asked my professor for a geometric/visual interpretation of something he was explaining. He was confused by my question and just told me “There’s no pictures!”

    • @thomasjames1067
      @thomasjames1067 2 месяца назад

      @@TheLazyEngineer I understand and agree that the mathematical definition does exclude notions of geometry, and that its helpful to separate the logical structures from geometric interpretations, but I still find the notion misleading. I really appreciate the response and the anecdote!

  • @minchengzheng7510
    @minchengzheng7510 2 месяца назад

    4 dimensinal game

  • @user-bz6nr6ge3s
    @user-bz6nr6ge3s 2 месяца назад

    The following information is available for a particular differential equation У2 Уз W= Dy1 Dy2 Dy3 =0 D²y1 D22 D2Y3 2 Check all that applies W is called the Wronskian for the differential equation. V1, V2, and y3 are three solutions to differential equation. The three solutions are linearly independent. The differential equation is of third order.

    • @TheLazyEngineer
      @TheLazyEngineer 2 месяца назад

      This is a very poorly formatted / worded question, and impossible to answer.

  • @user-ny8qw9qk5r
    @user-ny8qw9qk5r 2 месяца назад

    one of the best explanations . This playlist really helped me . thankyouuu

  • @user-bz6nr6ge3s
    @user-bz6nr6ge3s 2 месяца назад

    the size of wonkskian matrix gives us info about the order of differential equation true or false

    • @TheLazyEngineer
      @TheLazyEngineer 2 месяца назад

      False

    • @user-bz6nr6ge3s
      @user-bz6nr6ge3s 2 месяца назад

      @@TheLazyEngineer Consider an at rest linear system described by y"+25y=2sint+5cos 5t The response of this system will be Decaying oscillations in time. Oscillatory in time. Growing oscillations in time: None of the above.

    • @TheLazyEngineer
      @TheLazyEngineer 2 месяца назад

      @@user-bz6nr6ge3s growing oscillations in time

    • @user-bz6nr6ge3s
      @user-bz6nr6ge3s 2 месяца назад

      @@TheLazyEngineer HOW?

    • @TheLazyEngineer
      @TheLazyEngineer 2 месяца назад

      @@user-bz6nr6ge3s look at the homogeneous solution! And then look at the particular solution (right hand side). Have you learned about resonance?

  • @user-zu7zr9ui3u
    @user-zu7zr9ui3u 2 месяца назад

    wow i am blown away. thank you for making this

  • @LOLjerel
    @LOLjerel 2 месяца назад

    Thank you for this!

  • @JohnG-lj9nu
    @JohnG-lj9nu 2 месяца назад

    Awesome video, thanks for sharing. So as you enter an edge or corner first, the slices can be generated. These take place in the present. How is time accounted for? Present time doesn't seem hard to imagine, but where would the past and future take place in your illustration?

  • @lokeshiitdelhi961
    @lokeshiitdelhi961 2 месяца назад

    Your solution is actually wrong you missed x to multiply on LHS I can't figure out in which step you have made the mistake. But solving the solution again you won't get the initial differential equation we have.