Prompt
stringlengths 6
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| Response
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|---|---|
Word: ephemeral
Functions: f_fleeting, f_evanescent
Dimensions: 2.2, 1.6
Distribution: 0.5, 0.5 | Apply exponents 1/2.2 and 1/1.6 to ephemeral input. Pass results into f_fleeting and f_evanescent functions. Give equal weights 0.5 to fractal outputs. Concatenate into final encoded P-FAF vector. |
{"function": "P-FAF", "input_data": {"a": 3, "b": 4}, "operation": "addition"} | {"output_data": 7, "rationale": "[3+4]=7"} |
{"function": "P-FAF", "input_data": {"x": -2, "y": 5}, "operation": "multiplication"} | {"output_data": -10, "rationale": "[-2*5=-10]"} |
{"function": "P-FAF", "input_data": {"numbers": [1, 2, 3], "operation": "summation"}} | {"output_data": 6, "rationale": "[1+2+3=6]"} |
{"function": "P-FAF", "input_data": {"values": [-1, 0, 1, 2], "operation": "count non-negative numbers"}} | {"output_data": 3, "rationale": "There are three non-negative numbers in the list: [0, 1, 2]."} |
{"function": "P-FAF", "input_data": {"sequence": [1, 2, 4, 8], "operation": "find next element"}} | {"output_data": 16, "rationale": "The sequence follows a pattern of doubling each subsequent term; therefore, the next number should be 8*2 = 16."} |
{"function": "P-FAF", "input_data": {"expression": "(3^2)-(2^2)", "operation": "evaluate arithmetic expression"}} | {"output_data": 9-4=5, "rationale": "First calculate exponents: 9-4; finally, perform subtraction operation: 5."} |
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