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Engineering LibreTexts

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  • https://eng.libretexts.org/Bookshelves/Computer_Science/Databases_and_Data_Structures/Open_Data_Structures_-_An_Introduction_(Morin)/14%3A_External_Memory_Searching/14.02%3A_B-Trees
    To determine the running time in the word-RAM model, we have to account for the cost of calling \(\mathtt{findIt(a,x)}\) for each node we access, so the running time of \(\mathtt{find(x)}\) in the wor...To determine the running time in the word-RAM model, we have to account for the cost of calling \(\mathtt{findIt(a,x)}\) for each node we access, so the running time of \(\mathtt{find(x)}\) in the word-RAM model is The executive summary of the \(\mathtt{add(x)}\) method is that it walks from the root to a leaf searching for \(\mathtt{x}\), adds \(\mathtt{x}\) to this leaf, and then walks back up to the root, splitting any overfull nodes it encounters along the way.
  • https://eng.libretexts.org/Bookshelves/Computer_Science/Databases_and_Data_Structures/Open_Data_Structures_-_An_Introduction_(Morin)/09%3A_Red-Black_Trees/9.01%3A_2-4_Trees
    The lower-bound of 2 on the number of children of an internal node implies that, if the height of a 2-4 tree is \(h\), then it has at least \(2^h\) leaves. If we want to add a leaf \(\mathtt{u}\) as t...The lower-bound of 2 on the number of children of an internal node implies that, if the height of a 2-4 tree is \(h\), then it has at least \(2^h\) leaves. If we want to add a leaf \(\mathtt{u}\) as the child of some node \(\mathtt{w}\) on the second-last level, then we simply make \(\mathtt{u}\) a child of \(\mathtt{w}\). On the other hand, if \(\mathtt{w'}\) has only two children, then we merge \(\mathtt{w}\) and \(\mathtt{w'}\) into a single node, \(\mathtt{w}\), that has three children.
  • https://eng.libretexts.org/Courses/Arkansas_Tech_University/Engineering_Modeling_and_Analysis_with_Python/08%3A_Lists/8.09%3A_Lists_and_Strings
    This page explains the differences between strings and lists, emphasizing that a string is a sequence of characters and a list is a sequence of values. It describes methods for converting a string to ...This page explains the differences between strings and lists, emphasizing that a string is a sequence of characters and a list is a sequence of values. It describes methods for converting a string to a list of characters using the list function, and breaking a string into words with the split method, which can take a delimiter. It also discusses the join method for merging a list of strings back into a single string, highlighting the flexibility in handling strings and lists in programming.

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