diff --git a/notebooks/00.00-Preface.ipynb b/notebooks/00.00-Preface.ipynb index 6b1e69233..8eca9ec48 100644 --- a/notebooks/00.00-Preface.ipynb +++ b/notebooks/00.00-Preface.ipynb @@ -111,7 +111,7 @@ "\n", "Each chapter of this book focuses on a particular package or tool that contributes a fundamental piece of the Python Data Sciece story.\n", "\n", - "1. IPython and Jupyter: these packages provide the the computational environment in which many Python-using data scientists work.\n", + "1. IPython and Jupyter: these packages provide the computational environment in which many Python-using data scientists work.\n", "2. NumPy: this library provides the ``ndarray`` for efficient storage and manipulation of dense data arrays in Python.\n", "3. Pandas: this library provides the ``DataFrame`` for efficient storage and manipulation of labeled/columnar data in Python.\n", "4. Matplotlib: this library provides capabilities for a flexible range of data visualizations in Python.\n", diff --git a/notebooks/05.11-K-Means.ipynb b/notebooks/05.11-K-Means.ipynb index 7e859a14a..e0c8a6ed0 100644 --- a/notebooks/05.11-K-Means.ipynb +++ b/notebooks/05.11-K-Means.ipynb @@ -412,7 +412,7 @@ "We might imagine using the same trick to allow *k*-means to discover non-linear boundaries.\n", "\n", "One version of this kernelized *k*-means is implemented in Scikit-Learn within the ``SpectralClustering`` estimator.\n", - "It uses the the graph of nearest neighbors to compute a higher-dimensional representation of the data, and then assigns labels using a *k*-means algorithm:" + "It uses the graph of nearest neighbors to compute a higher-dimensional representation of the data, and then assigns labels using a *k*-means algorithm:" ] }, {