Recent content by Fairy111

Homework Statement I need to prove that a composite integer n>1 has a prime divisor p with p<=sqrt(n). Homework Equations The Attempt at a Solution Im not sure how to do this, any help getting started would be great thanks.

yes i think it does contain non real numbers, so this would imply that it is an open subset? how would i go about sketching it?

Homework Statement I need to find out whether the subset Re(real no's) of complex no's is open, closed or neither. Homework Equations The Attempt at a Solution Im not really sure how to begin this...any help please?

Homework Statement I need to plot a graph in matlab, i typed in the following, V=[0:.2:20]; I=(V^3)-(1.4*V)+0.9; plot(V,I) It comes up with the error, error using mpower, matrix must be square. Any help into how to fix this problem would be great. Thankyou Homework...

Also, nbo10, I am slightly confused when i click on the link imagemagick - which interface do i download? Thanks

If you use .png what would be the code you put into Latex? Do you need to download any other packages for Latex before you can do this? Thankyou

I would like to insert a figure into Latex. I have taken the figure from wiki and saved it on Paint. How do I save it as an eps file? As it needs to be saved as this type to enable me to insert it in my Latex document. Thankyou

Homework Statement Hi, does anyone know a good site for downloading Latex? Thanks Homework Equations The Attempt at a Solution

Homework Statement Im confused as to how you obtain that, 77 is congruent to -1 mod 26 -77 is congruent to 1 mod 26 -11 is congruent to 15 mod 26 Homework Equations The Attempt at a Solution Some help would be great thanks

Im still struggling with this question. I don't follow the part, =(...(((8^2)^2)^2)...)^2)

Homework Statement Use the Fermat test to show that 513 is not a prime number. Homework Equations The Attempt at a Solution What i have so far is: n=513 Then i pick an 'a' with 1<a<n Let a=8 So i need to compute a^(n-1) mod n -> 8^512 mod 513 If 8^512 is not...

Homework Statement Could someone please tell me how to expand: ∆ x [(u.∆)u] Homework Equations [b]3. The Attempt at a Solution thankyou

I don't know how to expand the expression...Sorry I am really not very good at this area of maths. but yes that is what i mean by subscript notation.

Homework Statement For a fluid flow of velocity u and vorticity w=∆ x u, show that: (u. ∆ )u=-u x w + ∆(1/2|u|²) Sorry the triangles should be the other way up! Homework Equations ∆(u.v)=(u.∆)v + (v.∆)u +u x (∆ x v) + v x (∆ x u ) The Attempt at a Solution I need to...

So it would be log(b^a . d^c) ?