query: Mathematics needed for string theory
positive_passages.docid: 150283
positive_passages.text: Prerequisites and introduction to string theory
negative_passages.docid: 26769
negative_passages.text: Why does string theory require 9 dimensions of space and one dimension of time?
negative_passages.docid: 87783
negative_passages.text: What is tension in string theory?
negative_passages.docid: 145245
negative_passages.text: Extra Dimensions (in String Theory) - What does it mean?
negative_passages.docid: 92024
negative_passages.text: Elementary number theory - prerequisites
negative_passages.docid: 120100
negative_passages.text: Hairy Ball Theorem: homotopy from the identity to the antipodal map
negative_passages.docid: 45174
negative_passages.text: Measuring extra-dimensions
negative_passages.docid: 57740
negative_passages.text: Counting independent components of Riemann curvature tensor
negative_passages.docid: 21917
negative_passages.text: Mathematical Prerequisites for QFT
negative_passages.docid: 152405
negative_passages.text: Decoupling of Holomorphic and Anti-holomorphic parts in 2D CFT
negative_passages.docid: 68634
negative_passages.text: Learn about tensors for physics
negative_passages.docid: 114073
negative_passages.text: What are the strings in string theory made of?
negative_passages.docid: 30669
negative_passages.text: Introduction to string theory
negative_passages.docid: 11181
negative_passages.text: Counting degrees of freedom of gauge bosons
negative_passages.docid: 111928
negative_passages.text: Solving a Casimir configuration, the U - bracket
negative_passages.docid: 80934
negative_passages.text: Mathematical background for Quantum Mechanics
negative_passages.docid: 60787
negative_passages.text: Natural density of solvable quintics