The cross-correlation is related to the convolution by: so that if either f or g is an even function. Also: ...

See also:

Cross-correlation, Cross-correlation - Properties

Read more here: » Cross-correlation: Encyclopedia II - Cross-correlation - Properties

In terms of signal processing, the transform takes a time series representation of a signal function and maps it into a frequency spectrum, where ω is angular frequency. That is, it takes a function in the time domain into the frequency domain; it is a decomposition of a function into harmonics of different frequencies. When the function f is a function of time and represents a physical signal, the transform has a standard interpretation as the frequency spectrum of the signal. The magnitude of the resulting complex-valued fun ...

See also:

Fourier transform, Fourier transform - Applications, Fourier transform - Variants of the Fourier transform, Fourier transform - Continuous Fourier transform, Fourier transform - Fourier series, Fourier transform - Discrete Fourier transform, Fourier transform - Other variants, Fourier transform - Family of Fourier transforms, Fourier transform - Interpretation in terms of time and frequency, Fourier transform - Applications in signal processing

Read more here: » Fourier transform: Encyclopedia II - Fourier transform - Interpretation in terms of time and frequency

A binary star system consists of two stars both orbiting around their barycenter. For each star, the other is its "companion star". The term "binary star" was apparently first coined by Sir William Herschel in 1802 to designate "a real double star — the union of two stars that are formed together in one system by the laws of attraction". Any two stars seen close to one another form a double star, the most famous being Mizar and Alcor in the Big Dipper. Odds are, though, that a double star is probably a foreground and b ...

Including:

• Binary star - Binary star classifications
• Binary star - Research findings
• Binary star - Binary star examples

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Although modern mainstream psychology largely endeavors to be a scientific endeavor, the field has a history of controversy. Some criticisms of psychology have been made on ethical and philosophical grounds. Some have argued that by subjecting the human mind to experimentation and statistical study, psychologists objectify persons; because it treats human beings as things, as objects that can be examined by experiment, psychology is sometimes portrayed as dehumanizing, ignoring o ...

See also:

Psychology, Psychology - History, Psychology - Principles of psychology, Psychology - Mind and brain, Psychology - Schools of thought, Psychology - Scope of psychology, Psychology - Biological basis: the brain, Psychology - Information processing: the mind, Psychology - Change over time: development, Psychology - Interaction with others, Psychology - Study of animals in psychology, Psychology - Mental health, Psychology - Applied psychology, Psychology - Research methods, Psychology - Controlled experiments, Psychology - Correlational studies, Psychology - Longitudinal studies, Psychology - Neuropsychological methods, Psychology - Computational modeling, Psychology - Criticisms of psychology

Read more here: » Psychology: Encyclopedia II - Psychology - Criticisms of psychology

Scientific method can be applied to anything within the range of our experiences. As long as something has an effect on our lives, we can formulate theories and try to predict what this effect might be. The effect itself is an experiment, testing whether our theory was right. People use scientific methods all the time. They have theories about devices and make predictions how those will react to their actions. If a device does not work as expected, the experiment may disprove their theory. If they adjust their theory, they are applying scientific methods; if they nevertheless stick to their t ...

See also:

Scientific method, Scientific method - Elements of scientific method, Scientific method - Characterizations, Scientific method - Hypotheses development, Scientific method - Predictions from the hypotheses, Scientific method - Experiments, Scientific method - Evaluations and iterations, Scientific method - Testing and improvements, Scientific method - Confirmations, Scientific method - Scope and goals, Scientific method - Scientific communities, Scientific method - Peer review evaluations, Scientific method - Reproduction and record-keeping, Scientific method - History, Scientific method - Philosophical issues, Scientific method - Scientific method and the practice of science, Scientific method - Formal approaches, Scientific method - Quotations, Scientific method - Notes, Scientific method - Historical references to scientific method

Read more here: » Scientific method: Encyclopedia II - Scientific method - Scope and goals

Telling non-Christians about Christianity has been seen as a duty of Christians since the time of Jesus. According to the New Testament, Jesus commanded his disciples to "go into the world and make disciples of all nations". Evangelism, or 'spreading the Good News' has been a central part of the life of Christians since that time. In Christianity conversion is properly seen as the work of God. Humans may preach and tea ...

See also:

Religious conversion, Religious conversion - Religious conversion in international law, Religious conversion - The convert/proselyte, Religious conversion - Conversion to Judaism, Religious conversion - Procedure, Religious conversion - Conversion to Judaism in history, Religious conversion - Relationship with converts, Religious conversion - Differences between Jewish and Christian views, Religious conversion - Conversion to Christianity, Religious conversion - Reception of baptized persons into full communion with the Roman Catholic Church, Religious conversion - Conversion of Catholics to Protestantism, Religious conversion - Conversion to Islam, Religious conversion - Conversion to religions of Indic origin, Religious conversion - Conversion to the Bahá'í Faith, Religious conversion - Conversion to new religious movements and cults, Religious conversion - Conversion to Scientology, Religious conversion - Prohibition of conversion, Religious conversion - Proselytism, Religious conversion - History, Religious conversion - Issues involving proselytism

Read more here: » Religious conversion: Encyclopedia II - Religious conversion - Conversion to Christianity

True democracy as a form of government always has the following characteristics: there is constrained freedom to further the public good. Stated in negative terms, limits-sometimes vigorous ones-are essential to ensure that not anything goes (e.g., murdering people with handguns). Stated in positive terms, infinite freedom is of the essence to explore within, but not exceed, the boundaries defined by the edge of chaos (e.g., populist revolutions to identify, advocate for, and create consensus around new forms of government that ...

See also:

Democracy, Democracy - Democratic Government, Democracy - History of democracy, Democracy - 20th century waves of democracy, Democracy - Essential elements of a democracy, Democracy - Political legitimacy and 'democratic culture', Democracy - Direct versus representative democracy or 'democracy' versus 'republic', Democracy - Liberal democracy, Democracy - Preconditions and structure, Democracy - Liberal freedoms, Democracy - Proportional versus majoritarian representation, Democracy - Social democracy, Democracy - Illiberal democracy, Democracy - Advantages and disadvantages of democracy, Democracy - Immigrants and 'the people', Democracy - Ethnic and religious conflicts, Democracy - Bureaucracy, Democracy - Short-term focus, Democracy - Electorate Intelligence, Democracy - Public choice theory, Democracy - Plutocracy, Democracy - Tyranny of the majority, Democracy - Political stability, Democracy - Effective response in wartime, Democracy - Corruption, Democracy - Poverty and famine, Democracy - The democratic peace theory, Democracy - Sources

Read more here: » Democracy: Encyclopedia II - Democracy - Essential elements of a democracy

In psychology, motivation is the driving force (desire) behind all actions of human beings, animals, and lower organisms. Many textbooks define it as an internal state or condition that activates behavior and gives it direction, desire or want that energizes and directs goal-oriented behavior, or an influence of needs and desires on the intensity and direction of behavior. Motivation is often based on emotions, specifically, on the search for positive emotional experiences and the avoidance of negative ones, where positi ...

Including:

• Motivation - Types of motivation
• Motivation - Physiological needs
• Motivation - Other biological motivations
• Motivation - Secondary goals
• Motivation - Coercion
• Motivation - Self control
• Motivation - Controlling motivation
• Motivation - Early programming
• Motivation - Organization
• Motivation - Drugs
• Motivation - In Education
• Motivation - Is Money a Motivator?
• Motivation - Reference

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A bicycle, or bike, is a pedal-driven land vehicle with two wheels attached to a frame, one behind the other. First introduced in 19th-century Europe, bicycles evolved quickly into their familiar, current design. Numbering over 1,000,000,000 in the world today, bicycles provide the principal means of transportation in many regions and a popular form of recreational transport in others. To distinguish a bicycle from a mot ...

Including:

• Bicycle - History
• Bicycle - Technical aspects
• Bicycle - Legal requirements
• Bicycle - Construction and parts
• Bicycle - Performance
• Bicycle - Bicycle physics
• Bicycle - Social and historical aspects
• Bicycle - Economic and social implications
• Bicycle - Bicycles at work
• Bicycle - Bicycle recreation
• Bicycle - Bicycles and war
• Bicycle - Bicycle racing
• Bicycle - Modal share: cycle use in modern cities
• Bicycle - Cycling activism
• Bicycle - Types of bicycle
• Bicycle - Standards
• Bicycle - Notes

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A comparison is an evaluation of similarities and differences - described by Gregory Bateson in his book Mind and Nature as the two quanta of experience. Comparison - In computer programming. In computer programming, when one compares the two values x and y, a negative number often indicates x < y, zero x == y and a positive number x > y. Even when two values are not integers, e.g. literal strings, this convention is largely adopted. For example, strcmp return ...

Including:

• Comparison - In computer programming
• Comparison - In grammar
• Comparison - In mathematics
• Comparison - Academic fields focusing on comparison

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With these definitions, the study of correlation functions is equivalent to the study of probability distributions. Probability distributions defined on a finite number of points can always be normalized, but when these are defined over continuous spaces, then extra care is called for. The study of such distributions started with the study of random walks and led to the notion of the Ito calculus. The Feynman path integral in Euclidean space generalizes this to other problems of interest to statistical mechanics. Any probability distr ...

See also:

Correlation function, Correlation function - Definition, Correlation function - Properties of probability distributions

Read more here: » Correlation function: Encyclopedia II - Correlation function - Properties of probability distributions

A variable y is exponentially proportional to a variable x, if y is directly proportional to the exponential function of x, that is if there exists a non-zero constant k such that Likewise, a variable y is logarithmically proportional to a variable x, if y is directly proportional to the logarithm of See also:

Proportionality mathematics, Proportionality mathematics - Definition, Proportionality mathematics - Examples, Proportionality mathematics - Properties, Proportionality mathematics - Inverse proportionality, Proportionality mathematics - Exponential and logarithmic proportionality, Proportionality mathematics - Experimental determination

Read more here: » Proportionality mathematics: Encyclopedia II - Proportionality mathematics - Exponential and logarithmic proportionality

Synchronicity is a word coined by the Swiss psychologist Carl Gustav Jung to describe the temporally coincident occurences of acausal events. It was a principle that he felt compassed his concept of the collective unconscious, in that it was descriptive of a governing dynamic that underlay the whole of human experience and history—social, emotional, psychological, and spiritual. Jung believed that many experiences perceived as coincidence were due not merely to chance, but instead potentially reflected the manifestation of coincident events or circumstances consequent to this governing dynamicIncluding:

• Synchronicity - Example
• Synchronicity - Study
• Synchronicity - Criticism
• Synchronicity - Alternative explanations
• Synchronicity - Notes
• Synchronicity - Trivia

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Since is equivalent to it follows that, if y is proportional to x, with proportionality constant k, then x is also proportional to y with proportionality constant 1/k. If y is proportional to x, then the graph of y as a function of x will be a straight line passing through the origin with the s ...

See also:

Proportionality mathematics, Proportionality mathematics - Definition, Proportionality mathematics - Examples, Proportionality mathematics - Properties, Proportionality mathematics - Inverse proportionality, Proportionality mathematics - Exponential and logarithmic proportionality, Proportionality mathematics - Experimental determination

Read more here: » Proportionality mathematics: Encyclopedia II - Proportionality mathematics - Properties

More formally, the variable y is said to be proportional (or sometimes directly proportional) to the variable x, if there exists a constant non-zero number k such that . The relation is often denoted: and the constant ratio is called the proportionality constant or consta ...

See also:

Proportionality mathematics, Proportionality mathematics - Definition, Proportionality mathematics - Examples, Proportionality mathematics - Properties, Proportionality mathematics - Inverse proportionality, Proportionality mathematics - Exponential and logarithmic proportionality, Proportionality mathematics - Experimental determination

Read more here: » Proportionality mathematics: Encyclopedia II - Proportionality mathematics - Definition

Starting with manufacturing, today Six Sigma is being widely used across a wide range of industries like banking, Business Process Outsourcing, telecom, insurance, construction, healthcare[7], and software[8]. Some non-manufacturing examples are given below: North Carolina Baptist Hospital says[9], "The Six Sigma process improvement deployment at North Carolina Baptist Hospital is starting to sh ...

See also:

Six Sigma, Six Sigma - Definition, Six Sigma - Application & Success, Six Sigma - Methodology, Six Sigma - Roles Required for Implementation, Six Sigma - Examples of Some Key Tools Used, Six Sigma - Criticisms of Six Sigma

Read more here: » Six Sigma: Encyclopedia II - Six Sigma - Application & Success

Comparison, in grammar, is a property of adjectives and adverbs in most languages; it describes systems that distinguish the degree to which the modifier modifies its complement. English, due to the complex etymology of its lexicon, has two parallel systems of comparison. One involves the suffixes -er (the "comparative") and -est (the "superlative"). These inflections are of Indo-European origin, and are cognate with the Latin suffixes -ior and -issimus. These inflections are typically added to shorter word ...

See also:

Comparison, Comparison - In computer programming, Comparison - In grammar, Comparison - In mathematics, Comparison - Academic fields focusing on comparison

Read more here: » Comparison: Encyclopedia II - Comparison - In grammar

Since the theory of synchronicity is not testable according to the classical scientific method, it is not widely regarded as scientific at all, but rather as pseudoscientific or an example of magical thinking. However, it is doubtful that Jung would have considered the theory to be scientifically testable. Probability theory can attempt to explain events such as the plum pudding incident in our normal world, without any interference by any universal alignment forces. However, the correct variables required for actually computing the p ...

See also:

Synchronicity, Synchronicity - Example, Synchronicity - Study, Synchronicity - Criticism, Synchronicity - Alternative explanations, Synchronicity - Notes, Synchronicity - Trivia

Read more here: » Synchronicity: Encyclopedia II - Synchronicity - Criticism

Six Sigma has two key methodologies[14] – DMAIC and DMADV. DMAIC is used to improve an existing business process. DMADV is used to create new product designs or process designs in such a way that it results in a more predictable, mature and defect free performance. Sometimes a DMAIC project may turn into a DFSS project because the process in question requires complete re-design to bring about t ...

See also:

Six Sigma, Six Sigma - Definition, Six Sigma - Application & Success, Six Sigma - Methodology, Six Sigma - Roles Required for Implementation, Six Sigma - Examples of Some Key Tools Used, Six Sigma - Criticisms of Six Sigma

Read more here: » Six Sigma: Encyclopedia II - Six Sigma - Methodology

In computer programming, when one compares the two values x and y, a negative number often indicates x < y, zero x == y and a positive number x > y. Even when two values are not integers, e.g. literal strings, this convention is largely adopted. For example, strcmp returns -1, 0, or 1 according to the lexicographical order, and qsort expects the comparison function to return values according to this convention. This is because it is efficient to do the subtraction x - y resulting in the directi ...

See also:

Comparison, Comparison - In computer programming, Comparison - In grammar, Comparison - In mathematics, Comparison - Academic fields focusing on comparison

Read more here: » Comparison: Encyclopedia II - Comparison - In computer programming

Six Sigma identifies five key roles[15] for its successful implementation. Executive Leadership includes CEO and other key top management team members. They are responsible for setting up a vision for Six Sigma implementation. They also empower the other role holders with the freedom and resources to explore new ideas for breakthrough improvements. Champions are responsible for the Six Sigma implementation across the organization in an integrated manner. The E ...

See also:

Six Sigma, Six Sigma - Definition, Six Sigma - Application & Success, Six Sigma - Methodology, Six Sigma - Roles Required for Implementation, Six Sigma - Examples of Some Key Tools Used, Six Sigma - Criticisms of Six Sigma

Read more here: » Six Sigma: Encyclopedia II - Six Sigma - Roles Required for Implementation

The feeling of making a connection where there is none has been described as apophenia. Aspects of the subjective experience of schizophrenia have much in common with the subjective experience of synchronicity, in the sense that ordinary events are seen as having a direct personal relevance to the schizophrenic, but are seen as 'normal' by non-schizophrenics. Many psychoses are similar to schizophrenia but can last for a very short time, such as in rare instances from nicotine withdrawal (as an examp ...

See also:

Synchronicity, Synchronicity - Example, Synchronicity - Study, Synchronicity - Criticism, Synchronicity - Alternative explanations, Synchronicity - Notes, Synchronicity - Trivia

Read more here: » Synchronicity: Encyclopedia II - Synchronicity - Alternative explanations