Properties (97)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical function
|
| gptkbp:can_be |
a sum of exponentials
|
| gptkbp:defines |
the elliptic integral
|
| gptkbp:has_a |
modular transformations
|
| gptkbp:hasPrograms |
number theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Jacobi's theta function
|
| gptkbp:includes |
theta_1, theta_2, theta_3, theta_4
|
| gptkbp:is_a_character_in |
its arguments
|
| gptkbp:is_a_key_component_of |
the theory of integrable systems
|
| gptkbp:is_essential_for |
solving partial differential equations
the study of analytic number theory the study of mathematical modeling the study of complex analysis the study of coding theory the study of computational mathematics the study of functional equations the study of heat equations the study of mathematical finance the study of modular arithmetic the study of portfolio theory the study of robotics the study of systems theory the study of web development |
| gptkbp:is_evaluated_by |
a product of sine functions
|
| gptkbp:is_featured_in |
two variables
|
| gptkbp:is_involved_in |
the elliptic theta function
|
| gptkbp:is_recognized_for |
a series expansion
complex variables the_Jacobi_theta_function_equations |
| gptkbp:is_used_in |
string theory
statistical mechanics the study of special functions theory of elliptic functions the study of algebraic topology the study of combinatorial identities the study of modular forms the study of quantum mechanics the study of mathematical logic the study of graph theory the study of artificial intelligence the study of software engineering the analysis of dynamical systems the analysis of elliptic curves the calculation of modular invariants the number of lattice points in a region the study of asset pricing. the study of computational biology the study of computational neuroscience the study of computer graphics the study of conformal field theory the study of control theory the study of cryptography the study of data science the study of database theory the study of differential geometry the study of financial engineering the study of game theory the study of investment analysis the study of market microstructure the study of mathematical physics the study of natural language processing the study of numerical analysis the study of operations research the study of random matrices quantum_field_theory |
| gptkbp:isConnectedTo |
the theory of algebraic geometry
the theory of partitions the theory of stochastic processes the theory of computer vision the theory of decision theory the theory of financial derivatives the theory of information theory the theory of machine learning the theory of optimization the theory of programming languages the theory of q-series the theory of representation theory the theory of risk management the theory of systems biology |
| gptkbp:previousName |
gptkb:Carl_Gustav_Jacob_Jacobi
|
| gptkbp:related_to |
modular forms
the theory of Lie algebras the theory of special relativity the theory of automorphic forms the theory of combinatorial optimization the Riemann theta function the Weierstrass elliptic function the theory of algorithm design the theory of behavioral finance the theory of bioinformatics the theory of chaos theory the theory of complex tori the theory of econometrics the theory of human-computer interaction the theory of modular forms and functions the theory of network theory the_theory_of_non-linear_dynamics |