Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  analyze the critical length for design purposes of six-dimensional spaces invariant under translations and reflections containing the functions 1, cos t and sin t. These spaces also contain the first degree polynomials as ll as trigonometric and/or hyperbolic functions.  identify the spaces whose critical length for design purposes is greater than 2π and find its maximum 4π. By a change of variables, two biparametric families of spaces arise.  call shape preservation region to the set of admissible parameters in order that the space has shape preserving representations for curves.  describe the shape preserving regions for both families.
['Jesús M. Carnicer', 'Esmeralda Mainar', 'Juan Manuel Peña']
I am writing a research paper on a idea Shape preservation regions for six-dimensional spaces
[{"from": "human", "value": "I am writing a research paper on a idea Shape preservation regions for six-dimensional spaces"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  analyze the critical length for design purposes of six-dimensional spaces invariant under translations and reflections containing the functions 1, cos t and sin t. These spaces also contain the first degree polynomials as ll as trigonometric and/or hyperbolic functions.  identify the spaces whose critical length for design purposes is greater than 2\u03c0 and find its maximum 4\u03c0. By a change of variables, two biparametric families of spaces arise.  call shape preservation region to the set of admissible parameters in order that the space has shape preserving representations for curves.  describe the shape preserving regions for both families."}]