Machine Learning Mathematics

Machine Learning Mathematics

Mathematics is the study of topics such as quantity, structure, space and change. Mathematics provides a means to represent the real world in the form of numbers, relationships and equations.

Machine learning employs a wide variety of mathematical concepts and functions in order to create processes that:

  • analyze vast amounts of data in workable timeframes
  • discover actions, relationships and forces occurring in nature 
  • model the real world
  • interact with the real world

In short, mathematics is the base methodology employed to create machine learning modelsthat are used to address challenging applications such as image recognition, face recognition, natural language processing and pattern recognition: 

Mathematics -> Models -> Applications

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The Layers of Technology in Machine Learning and Artificial Intelligence

Machine Learning (ML) and Artificial Intelligence (AI) are changing the landscape of computing around the world, allowing us to do things with computers that were previously thought to be nearly impossible. ML/AI systems are now able to hear, speak, see, touch and interact with the environment and people around them.

In this article, I'll treat ML and AI together as a single topic. ML is the computer learning subset of AI, but for this discussion, they can be thought of as one.

A high level understanding of the layers of technology in ML/AI can help sort through the many options for developing and implementing an ML/AI system. ML/AI technology can be viewed as a three level hierarchy:

Mathematics > Models > Applications

Each of these layers provides an essential set of elements needed for a successful ML/AI system. Let's start with the mathematics base and build from there...


Mathematics, which dates back to 3000 BC and basic arithmetic, is a field of study that uses formulas (sequences of symbols) to represent ideas and the real world. Sounds a bit abstract, right? It is, but think about it ... ML/AI by its nature is doing just that inside a computing device - representing ideas and the real world. So mathematics is naturally and ideally suited to the pursuits of ML/AI.

ML/AI derives its tremendous power from the use of mathematics to, among other things, analyze probabilistic situations and outcomes. For example, an object recognition model might return the probability of .73 that a given photo contains the image of a cat. When we humans see a cat, we're usually pretty sure it's a cat. However, the combination of our senses and brains have done the complex mathematical-like analysis that produces that conclusion. Mathematics represents the calculations, estimations and processes needed to develop successful ML/AI models.

It's not necessary to understand all the math involved in an ML/AI system if you're using commercially supplied APIs or building on existing open source code. However, having some level of understanding of the underlying math can often be very useful and sometimes essential. One example, Stochastic Gradient Descent (SGD), is a mathematical function used to find a minima or maxima by iteration. It's used in a number of ML/AI models to iteratively improve the accuracy of output functions such as identifying objects in an input image. At a high level, the formula for SGD looks like this:

The components of this equation are:

  • Q( ): A function whose value is to be maximized or minimized
  • n: The number of times the function Q is recalculated
  • /: A division function used to find the average of the recalculated values of the Q function
  • i: A number indicating the individual version of the Q function 
  • w: A parameter that's used to find the minimal or maximal values for the function Q
  • summation: Adds up all the values of the individual Q function calculations and is represented by this symbol:

Below is a list of some of typical mathematical concepts and functions used in ML/AI. Wikipedia is a good source of articles to start delving into these topics: 

Bayesian Probability and Statistics - Calculus - Classification - Cluster Analysis - Convolution - Deviation Analysis - Dimensional Analysis - Eigenvalues, Eigenvectors - Error Analysis, Accuracy, Precision, Sensitivity, Specificity - Functional Analysis, Activation Functions, Sigmoid Function, Rectified Linear Unit - Geometry, Geometric Transformations - Gradients, Stochastic Gradient Descent, Gradient Boosting - Graph Theory - Hyperparameter Optimization - Information Theory, Entropy, Cross Entropy - K-means Clustering - Linear Algebra - Logistic Regression - Loss/Cost Functions - Markov Chains - Mathematical Constants - Matrix Mathematics - Model Fitting, Underfitting, Overfitting, Regularization - Monte Carlo Algorithms - Pattern Recognition - Probability Theory - Regression Analysis, Linear, Non-Linear, Softmax - Sampling - Statistical Analysis, Bias, Correlation, Hypothesis Testing, Inference, Validation, Cross Validation - Time Series Analysis - Variation Analysis, Coefficient of Determination - Vector Spaces, Vector, Algebra, Scalars - Weights, Synaptic Weights


Models are the embodiment in computer code of the mathematical representations used to perform ML/AI functions. In our example of a computer recognizing a cat in a photo, the ML/AI model represents the layers of processing needed to differentiate the image of a cat from all other possibilities.

Below is a conceptual model of an Artificial Neural Network (ANN), one of the types of ML/AI mathematical models. Data (shown as lines) is passed in a forward left to right direction between processing nodes (shown as circles). Numerical weights (w) are applied to individual data flows and biases (b) are applied to nodes in order to shape the output, such as the identification of a cat in an input image. Mathematical methods such as Stochastic Gradient Descent (discussed above) are used to adjust the weights and biases as data is repeatedly passed through the ANN.

In this diagram, the shapes and letters represent:

  • i: input layer node
  • h: hidden layer node
  • o: output layer node
  • w: weights applied to data going across layers
  • b: biases applied to node values

Below is a list of some of the mathematical models used in ML/AI. Wikipedia is a good source of basic information about these models:

Artificial Neural Networks - Association Rule Learning - Bayesian Networks - Decision Tree Learning - Deep Learning - Ensemble Learning - Hierarchical Clustering - Learning Classifier Systems - Learning to Rank - Long Short-Term Memory Neural Networks - Nearest Neighbors Algorithms - Recurrent Neural Networks - Reinforcement Learning - Sequence-to-Sequence Neural Networks - Similarity Learning - Sparse Dictionary Learning - Stochastic Neural Networks - Support Vector Machines - Unsupervised Learning


ML/AI applications use mathematical models, such as those discussed above, to perform meaningful tasks and produce meaningful results. Raw ML/AI results from mathematical models can be very interesting, but by themselves offer little utility. ML/AI applications provide that utility.

As an example, let's say we wanted to use our cat detecting Artificial Neural Network to let users of our smartphone app take a photo of a cat and determine what breed it belongs to. Our development team would need to:

  • Collect cat images from the internet
  • Sort the images into known breeds
  • Use the grouped images to train the ANN to recognize different breeds of cats
  • Test the trained ANN on images of cats of unknown breeds
  • Test the trained ANN on recognizing cats in images of many different types
  • Decide on the minimum acceptable probability from the ANN for determining a cat is really a member of the indicated breed
  • Maintain a table of the minimum acceptable probability for each breed of cat
  • Develop the user interface functions that allow the app user to photograph their cat and get the determination of which breed the application thinks it belongs to
  • Develop the server code to host the ANN and application software
  • Develop the Application Programming Interfaces (APIs) to connect client applications with the server code
  • Track ongoing performance results

ML/AI applications are appearing in every imaginable area of computing. If you do an internet search on almost any topic and include the term 'machine learning' you'll likely find results. Below are just a few examples of areas of active ML/AI applications:

Biometrics - DNA Classification - Computer Vision - Fraud Detection - Marketing - Medical Diagnosis - Economics - Natural Language Processing - Language Translation - Online Advertising - Search Engines - Handwriting Recognition - Speaker Recognition - Speech Recognition - Financial Market Analysis and Trading - Customer Service - Systems Monitoring - Recommender Systems - Self-driving Vehicles - Robotics - Cybersecurity - Legal Research - Criminal Investigations - Security Screening - Mapping - Healthcare - Face Detection and Recognition - Object Recognition - Weather Forecasting - Image Processing

Software Components Overview

Below is a list of links to and brief descriptions of common software components. It's useful to keep these in mind and reference them during software design as a shorthand for code that will be written to implement the design. Implementing a component could involve just a few or many lines of code.

A suggested way to use these components in solving/coding a computing problem is to include them using a Separation of Concerns design pattern folded into what I call Layered Logic Problem Solving that includes these steps:

  1. Describe in words the problem to be solved. This might include references to software components listed below. You might also include solution acceptance criteria, possibly in the form of formal acceptance tests.
  2. Draw a block diagram of the main problem solution pieces. For more complex problems, other types of diagrams can be used.
  3. Annotate the block diagram with references to components such as those below.
  4. Code the solution in your chosen programming language.


  • Client-Server Architecture: components include:
  • HTTP Requestindicates the desired action to be performed on an identified resource - actions include: 
    • GET: retrieve data
    • HEAD: retrieve without response body
    • POST: create new subordinate data
    • OPTIONS: retrieve supported actions
    • PUT: create/replace data
    • DELETE: delete the resource
    • CONNECT: convert connection to TCP/IP tunnel, usually to facilitate HTTPS SSL
  • Internet Protocol Suite:
    • Layers: Application/Transport/Internet/Link
    • Levels: Send/Receive, Controls/Routing, Values/Translations
  • Firewall: monitor/control of incoming/outgoing traffic
  • JSON: JavaScript Object Notation, Human Readable, Attribute-Value Pairs, Java JsonObject
  • Load Balancer: distributes workload across computing resources
  • Message: data sent across processes
  • Network: allows computers to exchange data
  • Protocol: Data Formats, Address Formats, Address Mapping, Routing, Error Detection, Acknowledgements, Sequence Control, Flow Control
  • REST: Representational State Transfer, Stateless, Client-Server, JSON data
  • Socket: endpoint of a connection across a computer network


Algorithms & Processes


  • Class: object template
  • Container: collection of other objects
  • Design Patterns: reusable solutions to common software problems  
  • Object Oriented Design Patternsreusable solutions to common object oriented software problems
  • Generics: specify type or method to operate on objects
  • Cloud Computing: internet based computing that provides shared processing resources
  • Interface : all abstract methods
  • Mutability: mutable, immutable, strong vs. weak
  • Objects: variables, data structure or function referenced by an identifier
  • OOD: uses inheritance, abstraction, polymorphism, encapsulation, other design patterns


  • Ajax: groups of technologies for client-side asynchronous web applications
  • Android Fragments: UI segmenting, own lifecycle, FragmentManager
  • HTML5 Canvas:  bitmap, javascript
  • CSS:  describes the presentation of information
  • HTML:  head, body, div, script
  • Widget: simple, easy to use applicator
  • XML: markup language that defines a set of rules for encoding documents

Working with Java Lists

As shown in the diagram below, there are three major Java class groups used for working with lists: Lists (such as List, ArrayList, LinkedList, AbstractList, Stack and Vector), Iterators (Iterator and ListIterator) and Collections. Together, these classes and their methods provide a wide spectrum options for list construction, examination and manipulation. For an example of using these classes, look here.

Common Java ArrayList Manipulation Constructs

ArrayList data structures (also called Dynamic Arrays) are a frequently used programming function. ArrayLists have an advantage over arrays - ArrayLists are not fixed in size and can be dynamically changed by adding and deleting elements. Below are some common Java array manipulation constructs. For an overview of working with Java lists, look here.

Creating a new ArrayList

Creating a new ArrayList is coded as shown below using the String type with an initial capacity of 20 entries:

ArrayList mArrayList = new ArrayList<String>(int 20);

Constructing an ArrayList from an Existing List

The example below shows how to construct an ArrayList from the individual words in a String using an intermediary List object. Notice that the sequence of objects created is: String -> String array -> List -> ArrayList

String wordString = "this is a string of words";
String[] wordsArray = wordString.split(" ");
List<String> wordsList = Arrays.asList(wordsArray);
ArrayList wordsArrayList = new ArrayList<String>(wordsList);

add( )

The example below shows how to use the ArrayList add() method to add a String to wordsArrayList::


indexOf( )

The example below shows how to use the indexOf() ArrayList method find the index of an entry:

int index = wordsArrayList.indexOf("Example2");

remove( )

The example below shows how to use the ArrayList remove() method using the entry index or the entry itself:


sort( )

The Collections sort() methods provide a variety of options for sorting ArrayList entries. Note that the ArrayList is sorted in place without returning a new ArrayList. This can be done because the array parameter is a value pointing to the ArrayList of objects. For example, the following statement would sort the words ArrayList from the example above using a modified MergeSort algorithm in an average O(n log(n)) time performance:


binarySearch( )

The Collections binarySearch() methods provide an efficient way to find an entry in a sorted ArrayList. For example, the following statement would find the index of the wordsArrayList entry for the String Example1 in an average of O(log(n)) time performance:

int entryIndex = Collections.binarySearch(wordsArrayList, "Example1");

iterator( )

The Iterator Class and ArrayList interator() method can be used to iterate over the entries of an ArrayList as shown in the example below :

Iterator mIterator = wordsArrayList.iterator();

Common Java Array Manipulation Constructs

Working with array data structures is one of the most frequently used programming functions. Arrays are implemented in a number of Java classes, such as String, Integer, and Boolean. Those arrays can be manipulated using the Java Arrays class (note that the Arrays class name is a plural). Below are some common Java array manipulation constructs.

split( )

The String split() method separates string characters into array entries using a supplied regular expression. For example, the following statement would create entries in the String array wordsArray using a blank character as a regular expression separator for processing the String wordString:

String wordString = "this is a string of words";
String[] wordsArray = wordString.split(" ");

sort( )

The Arrays sort() methods provide a variety of options for sorting array entries. Note that the array is sorted in place without returning a new array. This can be done because the array parameter is a value pointing to the array of objects. For example, the following statement would sort the words array from the split() example above using a Quicksort process in an average O(n log(n)) time performance:


binarySearch( )

The Arrays binarySearch() methods provide an efficient way to find an entry in a sorted array. For example, the following statement would find the index of the array wordsArray entry for the String entryValue in an average of O(log(n)) time performance:

int entryIndex = Arrays.binarySearch(wordsArray, entryValue);

for( )

The for() construct can be used to iterate over the entries in an array. For example, the following statement would iterate over and print every entry in wordsArray:

for (String word : wordsArray) {System.out.print(word);}

If you want to know and use the index of each entry, then this construct can be used:

for (int i=0; i<wordsArray.length; i++) {System.out.print(wordsArray(i);}

Android Data View Adapters Overview

Android APIs provide classes and methods to facilitate displaying data in various forms, such as lists, arrays and custom layouts. The graphic below shows how the various classes and methods interact to produce the desired result.

Some examples of coding and use are:


The data to be displayed can be in such forms as an Array, List, File or SQLite database. If a database is used, a Cursor object is also employed. A simple array of String values might be created and converted to an ArrayList like this:

String[] mStringArray = new String[] { "blue", "green", "yellow",
        "red", "orange", "black", "white", "purple"};
List<String> mList = Arrays.asList(mStringArray);
ArrayList<String> mArrayList = new ArrayList<String>(mList);


Cursor is an interface that provides random read-write access to the result set returned by a database query. Setting up a Cursor for an SQLite database might look like this:

MySQLiteOpenHelper mDatabaseHelper = new MySQLiteOpenHelper(this);
Cursor mCursor = mDatabaseHelper.getDataIntoCursor();
ListView mListView = (ListView) findViewById(;
MyCursorAdapter mCursorAdapter = new MyCursorAdapter(this, mCursor);

class MyCursorAdapter extends CursorAdapter {

    public MyCursorAdapter(Context context, Cursor c) {
        super(context, c);
    // Implement CursorAdapter bindView method.
    public void bindView(View view, Context context, Cursor cursor) {
        String name = cursor.getString(1);
        TextView textView = (TextView) view;
    // Implement CursorAdapter newView method.
    public View newView(Context context, 
                         Cursor cursor, ViewGroup parent) {
        TextView view = new TextView(context);
        return view;
private final class MySQLiteOpenHelper extends SQLiteOpenHelper {

    private static final String DATABASE_NAME = "myDatabase";
    private static final int DATABASE_VERSION = 1;
    private static final String CREATE_TABLE_TIMELINE = 
        "CREATE TABLE IF NOT EXISTS table_name 
        (_id INTEGER PRIMARY KEY AUTOINCREMENT, name varchar);";

    public DatabaseHelper(Context context) {
        super(context, DATABASE_NAME, null, DATABASE_VERSION);
    public void onCreate(SQLiteDatabase db) {
        db.execSQL("INSERT INTO ddd (name) VALUES ('Name1')");
        db.execSQL("INSERT INTO ddd (name) VALUES ('Name2')");
        db.execSQL("INSERT INTO ddd (name) VALUES ('Name3')");
    public void onUpgrade(SQLiteDatabase db, 
                          int oldVersion, int newVersion) {
    public Cursor getDataIntoCursor() {
        String selectQuery = "SELECT  * FROM table_name;
        SQLiteDatabase db = this.getReadableDatabase();
        Cursor cursor = db.rawQuery(selectQuery, null);
        return cursor;


An Adapter acts as a bridge between an AdapterView and the underlying data for that view. A custom array adapter defined in Java might look like this:

class MyArrayAdapter extends ArrayAdapter<String> {
    HashMap<String, Integer> mHashMap = new HashMap<String, Integer>();
    public MyArrayAdapter(Context context, int textViewResourceId,
        List<String> objects) {
      super(context, textViewResourceId, objects);
      for (int i = 0; i < objects.size(); ++i) {
        mHashMap.put(objects.get(i), i);
    public long getItemId(int position) {
      String item = getItem(position);
      return mHashMap.get(item);
    public boolean hasStableIds() {
      return true;

The custom array adapter mArrayAdapter would be instantiated and linked to a ListView mListView with Java code like this:

final ListView mListView = (ListView) findViewById(;
final MyArrayAdapter mArrayAdapter = new MyArrayAdapter(this,
        android.R.layout.simple_list_item_1, mArrayList);


An AdapterView is a view whose children are determined by an Adapter. You might use an AdapterView like this:

private OnItemClickListener mMessageClickedHandler = 
  new OnItemClickListener() {
    public void onItemClick(AdapterView parent, 
                            View v, int position, long id) {
        // Do something in response to the click


View is the basic building block for user interface components. A view occupies a rectangular area on the screen and is responsible for drawing and event handling. A ListView contained in a layout might look like this:

<LinearLayout xmlns:android=""
    android:orientation="vertical" >
        android:layout_height="wrap_content" >


ViewGroup is a special view that can contain other views called children. A ViewGroup defined in XML might look like this:

<ViewGroup xmlns:android=""
    android:layout_width="fill_parent" >


A layout defines the visual structure for a user interface. A layout might look like this:

<LinearLayout xmlns:android=""
    android:orientation="vertical" >
        android:layout_height="wrap_content" >


An Activity provides a screen with which users can interact.

public class MyActivity extends Activity {
  protected void onCreate(Bundle savedInstanceState) {
    . . .


A Fragment represents a behavior or a portion of user interface an an Activity. Fragment code might look like this:

public class ArticleFragment extends Fragment {
    public View onCreateView(LayoutInflater inflater, 
                             ViewGroup container,
        Bundle savedInstanceState) {
        // Inflate the layout for this fragment
        return inflater.inflate(R.layout.article_view, 
                                container, false);

Android Job Interview Topics

Because Android contains an extremely large number of Classes and Methods, it's impossible to hold all of the syntax and details in your head. For this reason, I've found that Android interview questions tend to be more conceptual in nature. For example, you might be asked how you'd approach a given problem using Android and Java constructs.

As you study the commonly used interview topics below, try to retain the main ideas and some relevant details. 

Android Fragments Overview

Android Fragments provide a mechanism to create modular sections of an Activity. You can see how Fragments fit into the overall Android structure in the blog post Android App Major Elements. You can see an example of Fragment use in the blog post Android Fragments.

Fragments provide a couple of significant benefits for Apps:

  • Fragments facilitate App adaptation to various screen sizes and dimensions. 
  • Fragments have their own life cycle that can be used to implement unique behavior for different App Fragments.

Below is an overview of Fragments and the Android elements they interact with for Fragment control.

Activity (Main)

The main Activity of an app uses the setContentView() method to establish a View.

Activity (for Fragment)

Activities can start and be started by Fragments.


The View class represents the basic building block for user interface components. A View occupies a rectangular area on the screen and is responsible for drawing and event handling. View is the base class for widgets, which are used to create interactive UI components (buttons, text fields, etc.). Views can be accessed via their ids or from the Root View.

Root View

The Root View is the base of the tree for all the Views for an app. It can be referenced using  

Layout (XML)

Layout XML can be used to define Views. When an app is compiled, the XML definitions are used to create View details. Note that this can include Fragment properties. If a Layout that includes a Fragment specification is used by the Activity setContentView() method, that Fragment will be automatically started by the Android operating system.


A Fragment is a piece of an application's user interface or behavior that can be placed in an Activity. Sub classes of Fragment include: PreferenceFragment, DialogFragment and ListFragment.

Fragment Manager

The FragmentManager class is an Interface for interacting with Fragment objects.

Fragment Transaction

The FragmentTransaction class is used for performing Fragment operations.

Android App Major Elements

There are many elements that can be included in an Android app. It's helpful to see how these are clustered and interact, as shown in the chart below. Only major elements are shown. The Android Developers Website provides details on the full set of app elements.

The minimum required elements are shown with a red dot. An app with just these elements wouldn't be very useful, but you can see that there are many optional elements that can be added for a variety of functions. 

Intent Messaging

Intents are used to request an action from an app component. Intents are detected and acted upon by Broadcast Receivers.


Activities manage the Displays that app users see. Fragments are modular sections of an Activity that, among other uses, facilitate app adaptation to various screen sizes and dimensions.

User Interface

The User Interface includes a variety of pre-built elements that facilitate constructing screen displays, including: View, Control, Dialog, Notification, Setting, Action Bar, Menu and Toast.


Services perform long-running operations in the background and do not provide a User Interface.

Asynchronous Operations

These elements facilitate asynchronous operations that protect the UI thread from undesirable delays. Loaders make it easy to asynchronously load data in an Activity or Fragment. AsyncTask allows performing background operations and publishing results on the UI thread without having to manipulate threads and/or handlers.

Data, Devices and Sensors

These elements facilitate the access to Data, Devices and Sensors. Connectivity provides access to devices and the Internet.  Content Providers can optionally be used to access databases and internal/external files. Sensors include: GPS, network location, accelerometer, gyroscope and more. 

Reference Elements

These elements are essential for app operation. Libraries provide access to compiled code from Google and other sources. Access to the user Display is built into the operating system. The Manifest include essential information about the app and its elements. Resources include: Layouts, Values and Drawables. Shared Preferences are use to store key-value pairs that act as global variables for the app.

Programming Language Constructs

There are hundreds of programming languages. Although most aren't commonly used, a software developer might use a number of them during their career. It's useful to understand the concepts that underlie these languages. Click here for a comparison of programming languages

Below are brief descriptions of some common and important programming constructs with links to more details.


Separating ideas from specific instances of those ideas. Click here for more details.

Access Modifier

Define characteristics of constructs such as classes and methods. Examples of modifiers are: public, private, package and protected:  Click here for more details.


A data structure consisting of a collection of elements, each identified by at least one array index or key. Click here for more details.


Defines a property of an object, element, or file. Click here for more details.


Section of code grouped together. Click here for more information.


Sequence of statements triggered by a conditional. Click here for more information.


Pointer to a piece of executable code that is passed as an argument to other code, which is expected to call back (execute) the argument at some appropriate time. Click here for more details.


Code template for creating objects. Think of architect's drawings. Click here for more details.


Performs different actions depending on whether a condition is true or false. Click here for more details.


In Object Oriented Programming, a block of code that's executed when an object is created. Click here for more details.

Container / Collection

An object made up of other objects. Click here for more details.

DOM (Document Object Module)

Convention for representation and interaction between objects in HTML documents. Click here for more details.

Dynamic Array

Variable sized data structure that allows adding and deleting elements. In Java, an ArrayList is one type of Dynamic Array. Click here for more information.


Packing of data and functions into a single component. Click here for more details


Anomalous or failure event that may require special handling. Click here for more details


Combination of elements that produces a result. Click here for more details.

Garbage Collection

Reclaiming of unused memory. In some operating systems, such as Android, Garbage Collection is automatic. Click here for more details.


Used to provide direct access to data based on a calculated key. Click here for more details.

HTML (HyperText Markup Language)

A set of elements that can read by web browsers for displaying web pages. Click here for more details.

HTML Element

Individual component of an HTML document. Click here for more details.

HTTP Request

Indicates the desired action to be performed on an identified resource. Actions include: GET, POST, HEAD, OPTIONS, PUT, DELETE, TRACE, PATCH and CONNECT. Click here for more details.


Names for objects and entities. Click here for more details.


Obtaining the capabilities on an object. Click here for more details.

Inner Class

A Class that is declared entirely within the body of another class or interface. An inner class cannot be instantiated without being bound to a top-level class. Click here for more details.


Specific realization of an object. Think of a house vs. the plans for a house. Click here for more details.


An object that enables traversing a container, such as lists. Click here for more details.

JSON (JavaScript Object Notation)

Human-readable text used to transmit data objects consisting of attribute–value pairs. Often used to transmit data between a server and web application. Click here for more details.


Word with a special meaning. Click here for more details.


A sequence of values, where the same value may occur more than once. Click here for more details.

Linked List

A data structure consisting of a group of nodes which together represent a sequence. Click here for more details.


Notation representing a fixed value. Click here for more details.


A sequence of statements which is specified once but can be carried out multiple times in succession. Click here for more details.


A class whose instances are classes. Click here for more details.


Code that defines the run time behavior of objects. Click here for more details.


A class which contains a combination of methods from other classes without using inheritance. Click here for more details. Not available in pure Java.


In Object Oriented Programming, an object is an instance of a class. Click here for more details.


Perform actions on elements such as variables. Click here for more details.


Ability to create multiple methods of the same name with different implementations. Click here for more details.


In object oriented programming, is a language feature that allows a subclass or child class to provide a specific implementation of a method that is already provided by one of its superclasses or parent classes. Click here for more details.


A Java package is a mechanism for organizing Java classes into namespace groups. Click here for more information.


A reference or value passed to a function, procedure, subroutine, command, or program. Click here for more details.


Provision of a single interface to entities of different types. Click here for more details.


Smallest 'unit of processing' available to a programmer of a particular machine, or can be an atomic element of an expression in a language. Click here for more details. For example, in Java, primitive data types are: byte, short, int, long, float, double, boolean and char.


Ability to modify an object's own properties at runtime. Click here for more details.

Regular Expression

Sequence of characters that can be used as a search pattern. Sometimes referred to as Regex or Regexen. Click here for more details.

Reserved Word

A word that cannot be used as an identifier, such as the name of a variable or function. Click here for more details.


A value that is passed from a calculating function to an invoking function. Click here for more details.


Functions that put elements in a certain order. Sorting is used so often that many programming languages have built-in sort functions. Click here for more information.


Expresses some action to be carried out. Click here for more details.


Control mechanism used to allow the value of a variable or expression to change the control flow of program execution. Click here for more details.


A collection of related data held in a structured format within a database. It consists of fields (columns), and rows. Click here for more details.


Refers to the object, class, or other entity that the currently running code is part of. Click here for more details.


An object which represents the right to perform an operation. Click here for more details.


Collection of rules for constructs such as variables and functions. Untyped languages allow any operation to be performed on any data type.  Click here for more details.


A storage location and associated name which contains a modifiable value. Click here for more details.

Android Listeners and Toasts

This video, part of my Android Quick Code Access series of posts, explains Android Listeners and Toasts. It's from my course Learning Android App Programming published by InfiniteSkills.

The Java code for the example is below...

import java.util.Random;
import android.content.Context;
import android.os.Bundle;
import android.view.View;
import android.view.View.OnClickListener;
import android.widget.Button;
import android.widget.Toast;

public class ListenerToastMain extends Activity {
    // onCreate method.
	protected void onCreate(Bundle savedInstanceState) {
	    // Initialize display.
           // Declare button variable for Get Answer.
	    Button getAnswer =
	    // Set listener for button.
    // Define OnClickListener for getAnswer button.
    private OnClickListener getAnswerListener = new OnClickListener() {
        public void onClick(View v){
            // Generate answer number.
            Random toastGen = new Random();
            int toastNum = toastGen.nextInt(19);
            // Get answer text.
            CharSequence text = "";
            switch (toastNum) {
                case 1:  text = getString(R.string.answer1);  break;
                case 2:  text = getString(R.string.answer2);  break;
                case 3:  text = getString(R.string.answer3);  break;
                case 4:  text = getString(R.string.answer4);  break;
                case 5:  text = getString(R.string.answer5);  break;
                case 6:  text = getString(R.string.answer6);  break;
                case 7:  text = getString(R.string.answer7);  break;
                case 8:  text = getString(R.string.answer8);  break; 
                case 9:  text = getString(R.string.answer9);  break;
                case 10: text = getString(R.string.answer10); break;
                case 11: text = getString(R.string.answer11); break;
                case 12: text = getString(R.string.answer12); break;
                case 13: text = getString(R.string.answer13); break;
                case 14: text = getString(R.string.answer14); break;
                case 15: text = getString(R.string.answer15); break;
                case 16: text = getString(R.string.answer16); break;
                case 17: text = getString(R.string.answer17); break;
                case 18: text = getString(R.string.answer18); break;
                case 19: text = getString(R.string.answer19); break;
                case 20: text = getString(R.string.answer20); break;       		    
            // Toast answer.
            Context context = getApplicationContext();
            int duration = Toast.LENGTH_LONG;
            Toast toast = Toast.makeText(context, text, duration);

Android Broadcast Receiver Concepts and Sample App

This video, part of my Android Quick Code Access series of posts, explains Android Broadcast Receivers.  It's from my course Learning Android App Programming published by InfiniteSkills.

Here's the Java code for the example...

import android.content.BroadcastReceiver;
import android.content.Context;
import android.content.Intent;
import android.content.IntentFilter;
import android.os.Bundle;
import android.widget.Toast;

// Declare main activity for the application.
public class Main extends Activity {

    // Instantiate BroadcastReceiver.
    private BroadcastReceiver receiver = new BroadcastReceiver(){

        // Define actions to be taken when broadcast is received.
        public void onReceive(Context c, Intent i) {
            // Do the work of the BroadcastReceiver.
            // In this example, a message is toasted to the user.
                           "ACTION_TIME_TICK intent received.", 
    // Initialize the user interface in the onCreate method
    // of the main activity.
    public void onCreate(Bundle savedInstanceState) {  
    // Register the receiver with its filter.
    protected void onResume() {  
        this.registerReceiver(receiver, filter);  
    // Unregister the receiver when the application is paused.
    protected void onPause() {  

Android Database Query Display

This is part of the Android Quick Code Access series of posts. The code below displays the results of a Database Query. You'll need to run the Query code in a background thread in your production version.

// Database Display Activity.
public class DatabaseDisplayActivity extends ListActivity {

   // Database display columns.
   private static final String[] PROJECTION = new String[] {
    	COLUMN_NAME_1,   // 0 Position
   // Activity onCreate method.
   protected void onCreate(Bundle savedInstanceState) {
       // Database Query. 
       Cursor cursor = managedQuery(
       // Cursor columns to display.
       String[] dataColumns = {     		
       } ;
       // View IDs for formatting.
       int[] viewIDs = { 	
       // Adapter for the ListView.
       SimpleCursorAdapter adapter = new SimpleCursorAdapter(       		
       // Binder to display row results.
       adapter.setViewBinder(new SimpleCursorAdapter.ViewBinder() {
           public boolean setViewValue(
                View view, Cursor cursor, int columnIndex) {
                // Get row of cursor.
                String displayText = 

                // Set text in display.
                ((TextView) view).setText(displayText);
                return true;
       // List Adapter.

Android Eclipse Waiting for Debugger

This is part of the Android Quick Code Access series of posts. Depending on the specifics of your Android code, you may need to add code to force a wait for the Eclipse debugger. This is especially true for asynchronous code functions like background threads. Without the code below, you may see Eclipse break points not being triggered. You might think that your code is broken, when in fact you just need to add a code line to force it to wait for the debugger to catch up.


Android Allowing Main Thread I/O

An important aspect of Android App design is to never block the main UI thread with long running tasks. Doing so can result in an Application Not Responding (ANR) condition that can cause your App to be stopped. To prevent ANR conditions, always perform long running tasks such as I/O in background threads.

If you need to test I/O access from the main UI thread, you'll need to change the Thread Policy as shown below. Only do this for testing. In your production App, make sure you perform I/O operation in a background thread.

StrictMode.ThreadPolicy policy = 
    new  StrictMode.ThreadPolicy.Builder().permitAll().build(); 

Android Image Button Listener

This is part of the Android Quick Code Access series of posts. For more information on handling Buttons, see the Android Button class.

// Listener for Button.
ImageButton imageButton = (ImageButton) findViewById(;
imageButton.setOnClickListener(new OnClickListener() {
    // Button onClick method.
    public void onClick(View v) {
        // Take action here.
         . . .


Android Content Provider/SQLite Methods

There are a number of key methods for accessing data via an Android Content Provider or directly on the underlying SQLite database.  The table below summarizes the method parameters and return values. The graphic is from the video training course Learning Android App Programming.

B-tree and Binary Search Tree Data Structures

B-tree and Binary Search Tree data structures are similar but different ways to store data. The advantage of using search trees is that the test for membership can be performed efficiently provided that the tree is reasonably balanced, that is, the leaves of the tree are at comparable depths.

B-tree Implementations

B-tree implementations are normally commercial. Languages don't typically provide direct B-tree support. To find B-tree implementations, search Google for B-tree software.

Binary Search Tree Implementations

Some languages do provide support for Binary Search Trees. In Java, see the TreeMap class, which implements a variant of the Binary Search Tree, the Red-Black Tree.

Binary Tree Data Structure Comparison

Both structures operate in the average in O(log n) time. Note that in the worst case, B-tree, at O(log n), is faster than Binary Search Tree at O(n).