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NumPy Scientific Computing Cheat Sheet

NumPy Scientific Computing Cheat Sheet

Back to Data ScienceUpdated 2026-05-15

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

MethodExampleDescription
np.array()
arr = np.array([1, 2, 3])
Create array from Python list or tuple; most common creation method for known data.
np.zeros()
np.zeros((3, 4))
Initialize array filled with zeros; specify shape as tuple.
np.ones()
np.ones((2, 3), dtype=int)
Create array filled with ones; optional dtype specification.
np.empty()
np.empty((2, 2))
Allocate uninitialized array; 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)
Generate evenly spaced values within interval; works like Python range() but returns ndarray.

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