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We will often define functions to take optional keyword arguments, like this:

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The syntax for defining classes in Python is straightforward:

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is the core library for scientific computing in Python. It provides a high-performance multidimensional array object, and tools for working with these arrays. If you are already familiar with MATLAB, you might find this tutorial useful to get started with Numpy.

A numpy array is a grid of values, all of the same type, and is indexed by a tuple of nonnegative integers. The number of dimensions is the rank of the array; the shape of an array is a tuple of integers giving the size of the array along each dimension.

We can initialize numpy arrays from nested Python lists, and access elements using square brackets:

Numpy also provides many functions to create arrays:

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Numpy offers several ways to index into arrays.

Slicing: Similar to Python lists, numpy arrays can be sliced. Since arrays may be multidimensional, you must specify a slice for each dimension of the array:

You can also mix integer indexing with slice indexing. However, doing so will yield an array of lower rank than the original array. Note that this is quite different from the way that MATLAB handles array slicing:

Integer array indexing: When you index into numpy arrays using slicing, the resulting array view will always be a subarray of the original array. In contrast, integer array indexing allows you to construct arbitrary arrays using the data from another array. Here is an example:

Integer array indexing:

One useful trick with integer array indexing is selecting or mutating one element from each row of a matrix:

Boolean array indexing: Boolean array indexing lets you pick out arbitrary elements of an array. Frequently this type of indexing is used to select the elements of an array that satisfy some condition. Here is an example:

Boolean array indexing:

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Every numpy array is a grid of elements of the same type. Numpy provides a large set of numeric datatypes that you can use to construct arrays. Numpy tries to guess a datatype when you create an array, but functions that construct arrays usually also include an optional argument to explicitly specify the datatype. Here is an example:

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They were there for a business meeting. Starbucks says it’s sorry. The police chief says officers did nothing wrong.

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Two black men were arrested and escorted out of a Philadelphia Starbucks on Thursday after staff called the police to report they refused to leave; the men hadn’t ordered anything and were reportedly waiting for a business associate to arrive. The staff reportedly called 911 because Starbucks does “not allow nonpaying people from the public to come in and use the restroom,” Philadelphia Police Commissioner Richard Ross told the Philadelphia Inquirer . The employees said the men were trespassing and had refused to leave the restaurant.

A video of the incident has swept across the internet and sparked widespread outrage, prompting Starbucks to issue a less-than-satisfying apology on Saturday afternoon. CEO Kevin Johnson issued a lengthy statement on the incident on Saturday evening and said he wants to meet personally with the men arrested to apologize.

The saga began when a video posted on Twitter on Tuesday showed police arresting two black men in Twitter for “doing nothing,” in the words of the user who posted the video. Two people — not the men — can be heard protesting as the police remove the men’s chairs and escort them out. “This is ridiculous,” one white man says to an officer in the video. The men do not protest.

The video has been viewed more than three and a half million times on Twitter since Thursday.

The police were called because these men hadn’t ordered anything. They were waiting for a friend to show up, who did as they were taken out in handcuffs for doing nothing. All the other white ppl are wondering why it’s never happened to us when we do the same thing.

In 327 BCE, with the Persian Empire firmly under his control and newly married to the Bactrian noblewoman Roxana, Alexander turned his attention to India. Having heard of the exploits of the great Macedonian general, the Indian King Omphis of Taxila submitted to his authority without a fight, but the Aspasioi and Assakenoi tribes strongly resisted. In battles throughout 327 BCE and into 326 BCE, Alexander subdued these tribes, finally meeting King Porus of Paurava at the Battle of the Hydaspes River in 326 BCE. Porus charged Alexander’s forces with elephants and fought so bravely with his troops that, after defeating Porus, Alexander installed him as ruler of a larger region than he had previously held. Alexander’s horse Bucephalus was killed in this battle, and Alexander named one of the two cities he founded after the battle "Bucephala" after him.

Alexander intended to march on and cross the River Ganges toward further conquests, but his troops, worn out by the hard-fought battle with Porus (in which, according to Arrian, Alexander lost 1000 men), mutinied and refused to go further. Alexander tried to persuade his men to press on but, failing to win them over, finally assented to their wishes. He split his army in two, sending half back to Susa by sea under the command of Admiral Nearchus through the Persian Gulf, and marching the other half on through the Gedrosian Desert. His reasoning behind this decision is still unclear and debated by historians. Even though he had abandoned his conquest of India, he still paused on his march to subdue those hostile tribes he encountered along the way. The harsh terrain of the desert, and the military engagements, took a great toll on his troops, and by the time they reached Susa in 324 BCE, Alexander had sustained considerable losses.

Upon his return he found that many of the satraps he had entrusted with rule had abused their power and so executed them as well as those who had vandalized the of Cyrus the Great at the old capital city of Pasargadae . He ordered the ancient capital and tomb to be restored and took other measures to ingratiate and integrate his army with the people of the region and merge the cultures of Persia and Macedonia. Alexander held a mass marriage service at Susa in which he married members of his senior staff to Persian noblewomen. Many of his troops objected to this cultural merger and increasingly criticized his adoption of Persian dress and manners which he had affected since 329 BCE. They further objected to the promotion of Persians over Macedonians in the army and to Alexander's order merging Persian and Macedonian units. Alexander responded by appointing Persians to prominent positions in the army and awarded traditional Macedonian titles and honors to Persian units. His troops backed down and submitted to Alexander's wishes, and in a gesture of good will, he returned the titles to the Macedonians and ordered a great communal feast at which he dined and drank with the army. He had already dropped the custom of proskynesis in deference to his men but continued to comport himself as a Persian, rather than Macedonian, king.

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