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NumPy Scientific Computing Cheat Sheet

NumPy Scientific Computing Cheat Sheet

Back to Data Science
Updated 2026-05-15
Next Topic: OpenRefine Cheat Sheet

NumPy is the foundational library for numerical computing in Python, providing efficient multi-dimensional array objects (ndarray) and a vast collection of mathematical functions that operate on arrays. Built on optimized C and Fortran libraries (BLAS/LAPACK), NumPy enables vectorized operations that eliminate Python loops and execute at near-native speed. Understanding broadcasting rules, memory layout, and array views versus copies is essential β€” these concepts allow you to write code that is not only fast but also memory-efficient, forming the backbone of scientific Python workflows from data analysis to deep learning.

What This Cheat Sheet Covers

This topic spans 23 focused tables and 219 indexed concepts. Below is a complete table-by-table outline of this topic, spanning foundational concepts through advanced details.

Table 1: Array Creation β€” Initialization and ConstructionTable 2: Data Types (dtype) β€” Type System and CastingTable 3: Array Attributes β€” Inspection and MetadataTable 4: Basic Indexing and Slicing β€” Element AccessTable 5: Advanced Indexing β€” Boolean and Fancy IndexingTable 6: Broadcasting β€” Shape Compatibility for OperationsTable 7: Universal Functions (ufuncs) β€” Vectorized Element-wise OperationsTable 8: Array Manipulation β€” Shape TransformationTable 9: Array Joining and Splitting β€” Combining and Dividing ArraysTable 10: Statistical Operations β€” Aggregations and Descriptive StatisticsTable 11: Linear Algebra β€” Matrix Operations and DecompositionsTable 12: Random Number Generation β€” Sampling and DistributionsTable 13: Sorting and Searching β€” Ordering and LocationTable 14: Set Operations β€” Unique Values and Set MathTable 15: Logical Operations β€” Element-wise Boolean LogicTable 16: NaN Handling β€” Operations Ignoring Missing ValuesTable 17: Masked Arrays β€” Handling Invalid or Missing DataTable 18: Array Input/Output β€” Saving and LoadingTable 19: FFT β€” Frequency Domain AnalysisTable 20: Polynomial Operations β€” Curve Fitting and EvaluationTable 21: Advanced Operations β€” Specialized TechniquesTable 22: Memory and Performance β€” Optimization TechniquesTable 23: Integration and Interoperability β€” Working with Other Libraries

Table 1: Array Creation β€” Initialization and Construction

Every NumPy workflow starts by getting data into an array, and there are many doors in. Use np.array() when you already have the values, zeros, ones, or empty to pre-allocate a buffer you'll fill later, and arange or linspace to generate evenly spaced sequences. The specialized constructorsβ€”eye, diag, fromfunctionβ€”save you from building common matrix patterns by hand.

MethodExampleDescription
np.array()
arr = np.array([1, 2, 3])
β€’ Create array from Python list or tuple
β€’ most common creation method for known data
np.zeros()
np.zeros((3, 4))
β€’ Initialize array filled with zeros
β€’ specify shape as tuple
np.ones()
np.ones((2, 3), dtype=int)
β€’ Create array filled with ones
β€’ optional dtype specification
np.empty()
np.empty((2, 2))
β€’ Allocate uninitialized array
β€’ fastest creation but contains arbitrary values
np.full()
np.full((3, 3), 7)
Fill array with specified constant value.
np.arange()
np.arange(0, 10, 2)
β€’ Generate evenly spaced values within interval
β€’ works like Python range() but returns ndarray

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