i want to theoretically design a language suitable for the use within the scientific calculations domain

i want to theoretically design a language suitable for the use within the scientific calculations domain. The actual implementation of the language and tool set is obviously outside the scope of this course, but you must express and justify the design decisions behind your programming language in terms of:
• The features and functionality that will allow your language to be suitable and useful within the problem domain (including what differentiates it from existing languages),
• The programming paradigms, such as procedural, object oriented, logic and functional programming.
You are free to design your language to be either interpreted, compiled or to work in a hybrid manner, but you must thoroughly justify your decision. All language design choices must be legitimate, rational decisions which are backed up by robust discussion of the subject area.
 IMPORTANT! should NOT be about the C/C++ or FORTRAN programming languages - or any programming language that currently exists. Your essay must be on the programming language THAT YOU DESIGN in terms of the features the language should have and the choices you make about what functionality, data types, compilation/interpretation, exception handling etc. that you decide should be included in the language to make it suitable for the specific problem domain.