Exemplary embodiments described herein provide methods, mediums, and systems for recognizing a formalism type present in an input and generating an output that is consistent with the formalism type. In order to generate an output that is consistent with the formalism type, exemplary embodiments analyze elements of the input together. Such a holistic analysis determines or uses a likelihood that the different elements coexist together in a given formalism type. Based on this holistic analysis, an appropriate formalism type that is consistent with the coexistence of the elements may be selected. After the appropriate formalism type is selected, the input may be processed to generate an output consistent with the formalism type. The output may be computer-based representations of the input defined according to a program associated with the identified formalism type, and/or the input may be translated or transformed into another representation.
Please help me write a proper abstract based on the patent claims. CLAIM: 1. A non-transitory computer readable medium storing instructions, the instructions comprising: one or more instructions that, when executed, cause a processor to: receive an input, the input comprising a plurality of input elements; parse the input to identify: a first element from among the plurality of input elements, the first element represented according to a formalism type that identifies a syntax for organizing elements of the formalism type, and a second element from among the plurality of input elements, the second element represented according to the formalism type; access a library comprising entries for different formalism types, the formalism type included in the different formalism types; determine a likelihood that the first element and the second element coexist together in a formalism type from among the different types of formalisms in the library, and select, based on the determining, a selected formalism type that is consistent with a coexistence of the first element and the second element; and generate an output, the output: comprising the first element and the second element, and at least partly represented in a format corresponding to the selected formalism type. 2. The medium of claim 1, wherein the input comprises multiple formalism types such that the plurality of input elements of the input include a first set of elements represented according to a first formalism type and a second set of elements represented according to a second formalism type distinct from the first formalism type. 3. The medium of claim 1, wherein the output comprises output elements corresponding to a plurality of distinct formalisms such that the output is partly represented in the format corresponding to the selected formalism type, and is further represented in a second format corresponding to a second selected formalism type that is distinct from the selected formalism type. 4. The medium of claim 1, wherein the different formalism types represent one or more of: a table, a time-based block diagram model, a statechart, a Unified Model Language diagram, a mathematical equation, a chemical structure, a circuit model, a multibody model a chart, and a plot 5. The medium of claim 1, wherein different formalism types are processed by different types of processing engines or environments. 6. The medium of claim 1, wherein different formalism types have different alphabets, syntaxes, or semantics. 7. The medium of claim 1, wherein the input comprises one or more of: an image; video; audio; and gesture data. 8. The medium of claim 1, wherein the library comprises a table of probabilities that a type of element is found in each of the formalism types in the library. 9. The medium of claim 8, wherein the probabilities are dynamically updated based on user-feedback about a classification of the input into a formalism type. 10. The medium of claim 8, wherein the probabilities are dynamically updated based on historical classifications of formalism types. 11. The medium of claim 8, wherein analyzing the first element and the second element comprises: determining a first probability, the first probability representing a probability that the first element belongs to the selected formalism type; determining a second probability, the second probability representing a probability that the second element belongs to the selected formalism type; and adding the first probability to the second probability. 12. The medium of claim 1, wherein the second element is identified, at least in part, based on a predicted formalism type that is determined based on an analysis of the first element. 13. The medium of claim 1, wherein generating the output comprises applying a formalism-specific rule to the first element or the second element, the formalism-specific rule being particular to the selected formalism type. 14. The medium of claim 1, wherein generating the output comprises processing the first element and the second element using a formalism-specific procedure. 15. The medium of claim 1, further comprising displaying help information specific to the selected formalism type, the first element, or the second element. 16. A method comprising: receiving, using a processor of a computing device, an input, the input comprising a plurality of input elements; parsing the input, the parsing: performed using the processor, identifying a first element from among the plurality of input elements, and identifying a second element from among the plurality of input elements, wherein the first element and the second element are represented according to a formalism type defining a syntax for organizing elements of the formalism type; access a library comprising entries for different formalism types; evaluating a likelihood that the first element and the second element coexist together in a formalism type from among the different formalism types in the library, and selecting, based on the evaluating, a selected formalism type that is consistent with a coexistence of the first element and the second element; and generating, using the processor, an output, the output: representing a translation of at least part of the input into an output type that is associated with the selected formalism type. 17. The method of claim 16, wherein the selected formalism type is an equation, and the translation is a solution to the equation. 18. The method of claim 16, wherein the selected formalism type is an equation, and the translation is a source code function representing the equation. 19. The method of claim 16, wherein the selected formalism type is a state diagram, and the translation is a statechart model representing the state diagram. 20. The method of claim 16, wherein the selected formalism type is a plot, and the translation is a source code command that, when executed, generates the plot. 21. The method of claim 16, wherein either: the selected formalism type is a table, and the translation is a plot or chart representing the table, or the selected formalism type is a plot or chart, and the translation is a table of data represented in the plot. 22. The method of claim 16, wherein the selected formalism type is a Unified Model Language (UML) diagram, and the translation is a source code class representing the UML diagram. 23. The method of claim 16, wherein the selected formalism type is a chemical formula, and the translation is a name of a chemical represented by the chemical formula. 24. The method of claim 16, wherein either: the selected formalism type is a block diagram model, and the translation is a source code representation of the block diagram model, or the selected formalism type represents source code, and the translation is a block diagram model representing the source code. 25. A system comprising: a non-transitory computer readable medium storing an input, the input: comprising a plurality of input elements, and being uninterpretable by an engine associated with a selected formalism type; and a processor programmed with instructions that, when executed, cause the processor to: parse the input to identify: a first element from among the plurality of input elements, and a second element from among the plurality of input elements, wherein the first element and the second element are represented according to a formalism type defining a syntax for organizing elements of the formalism type; access a library comprising entries for different formalism types, the different formalism types comprising the selected formalism type associated with the engine; analyze the first element and the second element, the analyzing: examining the first element in context with the second element to evaluate a likelihood that the first element and the second element coexist together in the selected formalism type, and selecting, based on the examining, the selected formalism that is consistent with a coexistence of the first element and the second element; and generate an output, the output: comprising the first element and the second element, and at least partly represented in a format corresponding to the selected formalism type, wherein the output is interpretable by the engine associated with the selected formalism.