query: On ways of describing the shape of strings fixed at 2 points
positive_passages.docid: 112674
positive_passages.text: Shape of a string/chain/cable/rope/wire?
negative_passages.docid: 19497
negative_passages.text: Analogue of spherical coordinates in $n$-dimensions
negative_passages.docid: 116538
negative_passages.text: Proof of Connected Diagrams
negative_passages.docid: 61444
negative_passages.text: Identify shape of the polygons: elongation, roundness, etc
negative_passages.docid: 19927
negative_passages.text: Moments of vibrating string
negative_passages.docid: 154841
negative_passages.text: Computing symmetry/combinatorial factor for a diagram in $\phi^4$ theory
negative_passages.docid: 56020
negative_passages.text: Localization and flatness
negative_passages.docid: 151240
negative_passages.text: Short way for upper triangularization
negative_passages.docid: 92907
negative_passages.text: UV coordinates on a deformed plane
negative_passages.docid: 20732
negative_passages.text: Mathematics needed for string theory
negative_passages.docid: 59368
negative_passages.text: Convenient string manipulation
negative_passages.docid: 83872
negative_passages.text: Isomorphisms for graphs with loops and multiple edges
negative_passages.docid: 75365
negative_passages.text: How are string vibration modes related to particle identity?
negative_passages.docid: 83230
negative_passages.text: A useful illustration for differential geometry
negative_passages.docid: 92337
negative_passages.text: Points in rectangular coordinate system - specifying coordinates as function values
negative_passages.docid: 73037
negative_passages.text: Geometric visualization of nested radicals
negative_passages.docid: 54628
negative_passages.text: Properties of non-zero symmetric bilinear form