Science / Differential Geometry Quiz

Random Science Quiz

Can you name the Differential Geometry Answers?

Quiz not verified by Sporcle

How to PlayForced Order
Challenge
Share
Tweet
Embed
Score 0/27 Timer 10:00
QuestionAnswerExtra Info.
3:On surface: x a smooth map, x a homomorphism, partial derivatives w.r.t u and v of x are lin. ind. then what do we call x and x^-1 (give soln as x and x^-1)
1: The name of a if ||a'(u)|| = 1
3: Moving frame equations also known as?
2: Where is the evolute singluar?
2: Name of the point of a curve a where k(u)=0
3: What is the name of the special surface given by a(v)=(f(v),0,g(v)), f(v) not 0, rotated about z axis to form S={(f(v)cosu,f(v)sinu,g(v))|u in R, v in I}
3: Torsion defined by this formula (let torsion = T) (give both sides of equation)
3: f:U->R smooth and gradf(p)=0 then p is called what?
2: The name of the curve traced by the centres of curvature
3: f:U->R smooth and gradf(p) does not equal 0, then p is called what?
3: Binomial vector defined by this formula (give both sides of equation)
3: If c is a regular value, then f^-1(c) is a?
2: Curvature of a curve a=(x(s),y(s)) (param. by arc length)
1: Integral from u0 to u of ||a'(u)||dt is the
QuestionAnswerExtra Info.
1: If a'(u) does not equal 0 for all u in I then a is this type of curve
3: if h(s0)=0, h'(s0)=0,..., h^(k-1)(s0)=0 then we say a has at least ? with the plane
2: Which vector do we obtain by rotating t(s) by pi/2
2: Name of the point of a curve a where k'(u)=0
2: If a is a plane param. by arc length, k(s) does not equal 0, then the radius of curvature is given by?
1: The image a(I) of an open interval I also known as this
3: The name of the plane through a(s) spanned by n(s) and b(s)
3: What is given by the formula -(a'xa'').a'''/||a'xa''||^2
3: The name of the plane through a(s) spanned by t(s) and n(s)
3: What is given by this formula: ||a'xa''||/||a'||^3?
2: The name of the curve whos evolute is the initial curve
3: U,V open sets, then a smooth map h:V->U is called what if it is bijective and the inverse is smooth?
2: Curvature k(s)=? (in terms of n and t) (use . for dot product)

You're not logged in!

Compare scores with friends on all Sporcle quizzes.
Sign Up with Email
OR
Log In

You Might Also Like...

Show Comments

Extras


Your Account Isn't Verified!

In order to create a playlist on Sporcle, you need to verify the email address you used during registration. Go to your Sporcle Settings to finish the process.