All I can say about this video is YES! I love how the lady explains how the gradient vector is always perpendicular to the contour lines. This the first one I've seen that is this explicitly presented. Thank you.
Absolutely brilliant video!! I really appreciate such videos a lot because they bring reality into the black and white world of the book. Even a 8 year old would believe that if he tries he can understand the concept because its seems so easy, however, it is no argument that he would never care to open the black and white book. This video reminds me of the 8 year old me, trying to understand everything. I learn better when away from the mundane, the black and white!
5:13-5:30 not a very 'accurate' diagram in that case. It looks more like AC = 30/cos(1/2)m - or about 33.5m. That's not very much more than AB in fact.
I think you left out a few steps of explanation. At 2:48 you give an equation that you don't derive from anything and don't use again. Why did you bother to give it? At 4:41 you state without any justification or explanation that the magnitude if grad f is rise over run. How does this relate to the previous formula, please?
Yeah, it isn't a consistent use of coordinates. If you could parameterize the hill as a surface in z=f (x,y), then you would use the definition at 2:48. You would have to create a fixed coordinate system with unit vectors (i-hat, j-hat). But they CHOSE a very good coordinate system such that (locally), the partial with respect to x is ZERO. The coordinate system is tangent to the slope with i-hat along the LOCAL contour line and j-hat 'normal' to the contour line. The only contribution to grad(f) is in the direction of j-hat (ie the gradient direction). To be consistent, they should have used j-hat. Instead, they called it n-hat. n-hat is used here to denote 'Normal' (perpendicular). n-hat is normal to the contour lines in the direction of the gradient (grad f). So the only contribution to grad (f) is the component along n-hat. The partial derivative with respect to n-hat is correct as described (rise/run). The 2-D gradient was effectively changed to a 1-D by choosing a good local coordinate system. That's the benefit of using contour maps ;-)
In a 3d mountain graph, is the gradient in the xy plane or in the 3d space. Please anyone help me. The video I watched prior to this said it was in xy plane.If it was in xy plane, what does n unit vector direction is in. Isn't n unit vextor just in xyplane: But now here, they say Grad F is hypotenuse where perpendicular length =10 and base length=30 @4:45, which means gradient is not in xy plane. Video I watched prior to this: ruclips.net/video/GkB4vW16QHI/видео.html Anyone . PLeaseeeee...... help..
excellent explanations! The Universe is NOT expanding. Dark Energy is cP. Gravity energy is W=[c,V][,P]=[-vp,cP]= [-mGM/r, cP] Planck's constant=Mq=zq^2=h where z=375 Ohm and h=2/3E-33. z is free space impedance.
thank you, the video really helped me understand the definition of grad a lot! but i have to say: you call this skiing?! haha are you kidding me? and expert skiiers can't go down steeper than 30°? i am from austria and i can say 45° are no problem for a lot of people (for me under 30° is broeing) and expert skiiers can go down more than 70° ( and no im not confuseing with %, if you don't beleve me look at the last 3 min of this St. Anton am Arlberg - Freeride Deluxe 2012 ) and by the way skiing is a SNOW-sprt ;)
All I can say about this video is YES! I love how the lady explains how the gradient vector is always perpendicular to the contour lines. This the first one I've seen that is this explicitly presented. Thank you.
Absolutely brilliant video!! I really appreciate such videos a lot because they bring reality into the black and white world of the book. Even a 8 year old would believe that if he tries he can understand the concept because its seems so easy, however, it is no argument that he would never care to open the black and white book. This video reminds me of the 8 year old me, trying to understand everything. I learn better when away from the mundane, the black and white!
i appreciate this visual demonstration, helps to understand the concept
Thanks! You do a great job teaching with some fun examples you don't always see in just black & white textbooks ;) The visual aid is admirable
5:13-5:30 not a very 'accurate' diagram in that case. It looks more like AC = 30/cos(1/2)m - or about 33.5m. That's not very much more than AB in fact.
Great source of information. I got motivation for reading vector calculus.
I think you left out a few steps of explanation. At 2:48 you give an equation that you don't derive from anything and don't use again. Why did you bother to give it? At 4:41 you state without any justification or explanation that the magnitude if grad f is rise over run. How does this relate to the previous formula, please?
Yeah, it isn't a consistent use of coordinates.
If you could parameterize the hill as a surface in z=f (x,y), then you would use the definition at 2:48. You would have to create a fixed coordinate system with unit vectors (i-hat, j-hat). But they CHOSE a very good coordinate system such that (locally), the partial with respect to x is ZERO. The coordinate system is tangent to the slope with i-hat along the LOCAL contour line and j-hat 'normal' to the contour line. The only contribution to grad(f) is in the direction of j-hat (ie the gradient direction). To be consistent, they should have used j-hat. Instead, they called it n-hat. n-hat is used here to denote 'Normal' (perpendicular). n-hat is normal to the contour lines in the direction of the gradient (grad f). So the only contribution to grad (f) is the component along n-hat. The partial derivative with respect to n-hat is correct as described (rise/run). The 2-D gradient was effectively changed to a 1-D by choosing a good local coordinate system. That's the benefit of using contour maps ;-)
In a 3d mountain graph, is the gradient in the xy plane or in the 3d space. Please anyone help me. The video I watched prior to this said it was in xy plane.If it was in xy plane, what does n unit vector direction is in. Isn't n unit vextor just in xyplane: But now here, they say Grad F is hypotenuse where perpendicular length =10 and base length=30 @4:45, which means gradient is not in xy plane.
Video I watched prior to this: ruclips.net/video/GkB4vW16QHI/видео.html
Anyone . PLeaseeeee...... help..
ok, I think I found it. Gradient is in xy plane.
excellent explanations!
The Universe is NOT expanding. Dark Energy is cP. Gravity energy is
W=[c,V][,P]=[-vp,cP]=
[-mGM/r, cP]
Planck's constant=Mq=zq^2=h where z=375 Ohm and h=2/3E-33.
z is free space impedance.
ok how do u say universe is not expanding
Brilliant explanation thanks
0:11 it's because they're scared
XD
🤣🤣✌
excellent explnation
If gradient lies in the tangent plane then how come we can final unit normal vector to the surface using gradient?
how apply online for mathematics and science
major degree
thanks lot...it is too much helpful and easy.... thanks
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Sir if we through the envolep in flowing water then why he up and down in water
Terima kasih pak
please explain another real-time example
amazing
rotating to fast making me feel dizzy...
Tipo de video pro giovanni chorar
very good.....but it is difficult....the example on 2\3 is simpler
So helpful. Thank you
thanks again
Excellent!
i dont understand
Anyone from MTH201?
Don't understand...,
Dang , nice effort but its dumb fcked my mind. I lost in the mid way.
It's not the kind of thing you can expect to understand in one go - unless you're a genius. Watch it again in a while.
thank you, the video really helped me understand the definition of grad a lot!
but i have to say: you call this skiing?! haha are you kidding me? and expert skiiers can't go down steeper than 30°? i am from austria and i can say 45° are no problem for a lot of people (for me under 30° is broeing) and expert skiiers can go down more than 70° ( and no im not confuseing with %, if you don't beleve me look at the last 3 min of this St. Anton am Arlberg - Freeride Deluxe 2012 ) and by the way skiing is a SNOW-sprt ;)
In Jesus' Name, Amen. God bless you ✨
waste ah bloody time rass clat
Who wasted your time ?
Their acting is so cringe.