# Łukasz Maciejewski

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bio website location Krakow, Poland age 29 member for 1 year, 11 months seen Mar 24 at 20:52 profile views 22

Ph.D. student at Jagiellonian University in Kraków, Poland. I'm interested mainly in real algebraic geometry.

 2 Determine whether the span of one set of vectors contains the span of another set of vectors 2 How can I show using mathematical induction that $\frac{1}{2} + \frac{1}{4} + \cdots + \frac{1}{2^n} = \frac{2^n - 1}{2^n}$ 1 Discontinuity of a semialgebraic function 1 Show that the dimension of a particular linear space is $2$

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 +25 Discontinuity of a semialgebraic function +20 Determine whether the span of one set of vectors contains the span of another set of vectors +10 Show that the dimension of a particular linear space is $2$ +10 How can I show using mathematical induction that $\frac{1}{2} + \frac{1}{4} + \cdots + \frac{1}{2^n} = \frac{2^n - 1}{2^n}$

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# 7 Tags

 3 linear-algebra × 2 1 algebraic-geometry 3 vector-spaces × 2 1 real-analysis 2 induction 1 matrices 2 algebra-precalculus

# 8 Accounts

 Mathematics 76 rep 2 Area 51 51 rep 1 TeX - LaTeX 33 rep 3 Stack Overflow 1 rep Super User 1 rep