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The summation 1/1 + 1/2 + 1/3 + 1/4 + ... + 1/n is equal to the nth harmonic number, denoted Hn. The nth harmonic number obeys the inequalities ln (n + 1) ≤ Hn ≤ (ln n) + 1 and therefore Hn = Θ(log n). The harmonic numbers often arise in the analysis of algorithms, with randomized quicks...

The summation 1/1 + 1/4 + 1/9 + 1/16 + ... out to infinity converges to π2 / 6, and therefore any summation of the form 1/1 + 1/4 + 1/9 + 1/16 + ... + 1/n2 is Θ(1).

Create an empty directory somewhere ... mkdir HelloWorld cd HelloWorld Then use the built in scaffolding technology to create a Hello World sample dotnet new console -o This command creates two files: HelloWorld.csproj describes the project dependencies, settings, and Target Framework ...

You can use other operators besides $set when updating a document. The $push operator allows you to push a value into an array, in this case we will add a new nickname to the nicknames array. db.people.update({name: 'Tom'}, {$push: {nicknames: 'Tommy'}}) // This adds the string 'Tommy' into the n...

If two pointers are compared using <, >, <=, or >=, the result is unspecified in the following cases: The pointers point into different arrays. (A non-array object is considered an array of size 1.) int x; int y; const bool b1 = &x < &y; // unspecified int ...

If the underlying type is not explicitly specified for an unscoped enumeration type, it is determined in an implementation-defined manner. enum E { RED, GREEN, BLUE, }; using T = std::underlying_type<E>::type; // implementation-defined However, the standard does require th...

A reference is not an object, and unlike an object, it is not guaranteed to occupy some contiguous bytes of memory. The standard leaves it unspecified whether a reference requires any storage at all. A number of features of the language conspire to make it impossible to portably examine any storage ...

To use additional packages within the Rcpp ecosystem, the correct header file may not be Rcpp.h but Rcpp<PACKAGE>.h (as e.g. for RcppArmadillo). It typically needs to be imported and then the dependency is stated within // [[Rcpp::depends(Rcpp<PACKAGE>)]] Examples: // Use the RcppAr...

Most printable characters can be included in string or regular expression literals just as they are, e.g. var str = "ポケモン"; // a valid string var regExp = /[Α-Ωα-ω]/; // matches any Greek letter without diacritics In order to add arbitrary characters to a string or regular expression,...

Single character escape sequences Some escape sequences consist of a backslash followed by a single character. For example, in alert("Hello\nWorld");, the escape sequence \n is used to introduce a newline in the string parameter, so that the words "Hello" and "World" ...

This is a basic project that uses FXML, created with NetBeans (New Project -> JavaFX -> JavaFX FXML Application). It contains just three files: Main Application class package org.stackoverflow; import javafx.application.Application; import javafx.fxml.FXMLLoader; import javafx.scene.Par...

For an ID 5 The only restrictions on the value of an id are: it must be unique in the document it must not contain any space characters it must contain at least one character So the value can be all digits, just one digit, just punctuation characters, include special characters, whatever. ...

post-receive hooks can be used to automatically forward incoming pushes to another repository. $ cat .git/hooks/post-receive #!/bin/bash IFS=' ' while read local_ref local_sha remote_ref remote_sha do echo "$remote_ref" | egrep '^refs\/heads\/[A-Z]+-[0-9]+$' >/dev/null &am...

Once you've downloaded the files, extract your them into your designated directory. You'll notice that there are two sets of the files. The min means that the file is "compressed" to reduce load times. These minified files are usually used in production while it is better to use the unmin...

These are the simplest starter pages with a Header, Call-to-Action, and Icon Features. Starter TemplateParallax TemplateDemo or DownloadDemo or Download

Update: TensorFlow now supports 1D convolution since version r0.11, using tf.nn.conv1d. Consider a basic example with an input of length 10, and dimension 16. The batch size is 32. We therefore have a placeholder with input shape [batch_size, 10, 16]. batch_size = 32 x = tf.placeholder(tf.float...

As of Kafka 0.9, the new high level KafkaConsumer client is availalbe. It exploits a new built-in Kafka protocol that allows to combine multiple consumers in a so-called Consumer Group. A Consumer Group can be describes as a single logical consumer that subscribes to a set of topics. The partions ov...

There are multiple strategies to read a topic from its beginning. To explain those, we first need to understand what happens at consumer startup. On startup of a consumer, the following happens: join the configured consumer group, which triggers a rebalance and assigns partitions to the consumer ...

The easiest and recommended way to install SymPy is to install Anaconda. If you already have Anaconda or Miniconda installed, you can install the latest version with conda: conda install sympy Another way of installing SymPy is using pip: pip install sympy Note that this might require root ...