Science Quiz / Differential Geometry Quiz

Random Science Quiz

Can you name the Differential Geometry Answers?

Quiz not verified by Sporcle

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

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

Top Quizzes Today


Score Distribution

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.