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question:Write a function that not only returns the sum but also the difference, product, quotient, and modulo of two specific numbers, namely, the first number 3 and the second number 7. Provide a table that shows the results of the function for different pairs of numbers. To make sure that only numeric inputs are accepted, the code for the function should include error handling for a specific set of exceptions, including TypeError, ValueError, and OverflowError. Furthermore, extend the function to perform complex mathematical operations, such as logarithm and exponentiation, on the input numbers.
answer:Here's the function that performs the arithmetic operations: ```python import math def perform_arithmetic_operations(num1, num2): try: # Check if the inputs are numeric if not isinstance(num1, (int, float)) or not isinstance(num2, (int, float)): raise TypeError("Inputs must be numeric") # Check if the inputs are within the range of allowed values if num1 > 10**10 or num2 > 10**10: raise OverflowError("Inputs are too large") # Calculate the arithmetic operations sum_result = num1 + num2 difference_result = num1 - num2 product_result = num1 * num2 quotient_result = num1 / num2 modulo_result = num1 % num2 # Calculate the complex mathematical operations log_result = math.log(num1, num2) exponent_result = num1 ** num2 # Return the results in a dictionary return { "sum": sum_result, "difference": difference_result, "product": product_result, "quotient": quotient_result, "modulo": modulo_result, "logarithm": log_result, "exponentiation": exponent_result } except TypeError as te: print(te) except ValueError as ve: print(ve) except OverflowError as oe: print(oe) ``` Here's a table that shows the results of the function for different pairs of numbers: | Number 1 | Number 2 | Sum | Difference | Product | Quotient | Modulo | Logarithm | Exponentiation | |----------|----------|-----|------------|---------|----------|--------|-----------|----------------| | 3 | 7 | 10 | -4 | 21 | 0.428571 | 3 | 0.771212 | 2187 | | 10 | 5 | 15 | 5 | 50 | 2 | 0 | 1.43068 | 100000 | | 8 | 4 | 12 | 4 | 32 | 2 | 0 | 1.38629 | 4096 | | 2 | 9 | 11 | -7 | 18 | 0.222222 | 2 | 0.29278 | 512 | Note that the logarithm operation returns the logarithm of `num1` with base `num2`. If `num2` is not specified, the default value is `e`.
question:Name two countries with a population size larger than the United States.
answer:China and India.
question:Given the title, write a short paragraph summarizing the content of an academic paper. Title: Applying Fine-Tuning to Enhance Language Model Performance
answer:The academic paper discusses the application of fine-tuning to improve the performance of language models. The study emphasizes on training models on specific datasets to achieve better results. The paper also highlights the importance of hyperparameter tuning and the use of pre-trained models for better results. The authors provide experimental evidence that fine-tuning can lead to significant improvements in the performance of language models. Overall, the paper emphasizes the importance of fine-tuning in the field of natural language processing for enhancing language model performance.
question:What is the name of the largest desert in the world?
answer:The name of the largest desert in the world is the Sahara Desert.