Recent content by princy

hi.. i came through a problem in which the expression [1-(k(sin^2) θ)] has to be simplified.. can someone help me to solve it.??

hi , can anybody give me some examples of 'systems of linear differential equations with periodic coefficients'? i don't know how to solve it.. where can i get problems and solutions on this?

hi.. can anyone say what is the concept behind change of basis.. y do we change a vector of one basis to another?

ok so base point is just an arbitrary point.. it says that the union of all the Ts are connected because it has (a,b) as the common point.. how come (a,b) common to all the Ts.? can u explain it.?am not getting it..

no am not able get any idea in that proof..in james.r.munkres book it is given that.. i can only get the idea that it is proved by the use of homeomorphism.. I am not getting the idea how it is related to that figure given.. and the base point.. i think there is something very basic which i need...

no am not able get any idea in that proof..in james.r.munkres book it is given that.. i can only get the idea that it is proved by the use of homeomorphism.. I am not getting the idea how it is related to that figure given.. and the base point.. i think there is something very basic which i...

"finite cartesian product of connected space is connected" hi am not able understand the theorem that.. "finite cartesian product of connected space is connected".. what is a base point? how it is related to homeomorphism? can anyone explian?

i think torus is wrong.. is there any name for a bend like structure?

hi I'm an applied maths student i'd like to study about catenary.. where can i get details of catenary and its applications in detail?which book i can refer or is there any website i can go for?

is there any specific name for a coffee cup handle in mathematics?

k-topology if k-topology is defined as {(a,b)-k : k={1/n,n=1,2,3,...},(a,b) is in R}, can i write its elements as (a,b)-(0,1]?. what i have understood is this k-topology has the basis element which excludes the points {1,1/2,1/3...} which is the interval (0,1].. so from this how can i prove...

thank u for ur help.. i got it clear that it was proved on the basis of lemma 13.3...

thanks for ur hint.. i got the idea.. am now not able to prove it for k-topology... that is.. how is it possible that the basis element of standard topology is the basis element of k-toplogy??.. it is stated that.."given a basis element of (a,b) of T and a point x of (a,b),this same interval is...

how does a lower limit topology strictly finer than a standard topology? please explain lemma 13.4 of munkres' topolgy..