query: A geometric interpretation of a geometric series
positive_passages.docid: 25476
positive_passages.text: Question on geometrical proof of Geometric Series
negative_passages.docid: 108779
negative_passages.text: How to prove that this series is a metric: $d(x,y):=\sum_{i=0}^\infty \frac{|x_i -y_i|}{2^i (1+|x_i-y_i|)}$
negative_passages.docid: 156712
negative_passages.text: Geometrical or Physical significance (interpretation) of the inner-product $\langle A,B \rangle := Trace (AB^t)$ over $M_n(\mathbb R)$
negative_passages.docid: 23414
negative_passages.text: Topologist's Sine Curve: A rigorous proof of why $\overline{S} = S \cup V$
negative_passages.docid: 20653
negative_passages.text: Geometric meaning of the determinant of a matrix
negative_passages.docid: 24131
negative_passages.text: How to visualise the derived series of the Lie algebra $\mathfrak{u}(n,\mathbb{C})$?
negative_passages.docid: 104548
negative_passages.text: Geometric proof for irrationality of $\pi$
negative_passages.docid: 105997
negative_passages.text: Geometric interpretation of $\frac {\partial^2} {\partial x \partial y} f(x,y)$
negative_passages.docid: 9943
negative_passages.text: Series of sequence with terms over series.
negative_passages.docid: 102192
negative_passages.text: Can someone explain geometric multiplicity?
negative_passages.docid: 113125
negative_passages.text: Arithmetic-geometric Mean
negative_passages.docid: 133756
negative_passages.text: Geometric interpretation of $\det(A^T) = \det(A)$
negative_passages.docid: 143756
negative_passages.text: Introduction to Analysis: Multiplication Theorem for Series
negative_passages.docid: 94902
negative_passages.text: Simplifying a geometric sum
negative_passages.docid: 112216
negative_passages.text: Geometric description of canonical commutation relation
negative_passages.docid: 17814
negative_passages.text: Geometric Mean of a Function
negative_passages.docid: 126040
negative_passages.text: Geometric explanation of $\sqrt 2 + \sqrt 3 \approx \pi$