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A Continuous Function Chart (CFC) is a graphic editor that can be used in conjunction with the STEP 7 software package or with other tools, such as CODESYS
Continuous_Function_Chart
Degree of differentiability of a function or map
such that a function has all derivatives up to order k, and such that all of these derivatives are continuous. One says that such a function has class Ck
Smoothness
Mathematical function whose derivative exists
also a continuous function over the domain of f. Continuous functions may be nowhere differentiable in their domain, such as the Weierstrass function. Taking
Differentiable_function
Graphical programming language
Sequential function chart (SFC) is a visual programming language used for programmable logic controllers (PLCs). It is one of the five languages defined
Sequential_function_chart
Topics referred to by the same term
Consideration of future consequences, a personality trait Continuous function chart, sort of Function block diagram enabling to program both Boolean and analogue
CFC
Mapping which preserves all topological properties of a given space
or bicontinuous function, is a bijective and continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are
Homeomorphism
Strong form of uniform continuity
and hence also stronger than continuity. Intuitively, a Lipschitz continuous function is limited in how fast it can change: there exists a real number
Lipschitz_continuity
Development environment for programming controller applications
CFC (Continuous Function Chart) is a sort of freehand FBD editor. While the FBD editor works in a network-oriented way and arranges the function blocks
CODESYS
Series of programmable logic controllers
binary control structures, similar to state diagrams. S7-CFC (Continuous Function Chart, Siemens-specific, not conforming to IEC 61131-3 standardization)
Simatic
Type of chart
from the data table. A true best-fit layer should depict a continuous mathematical function whose parameters are determined by using a suitable error-minimization
Line_chart
Mathematical function for the probability a given outcome occurs in an experiment
practice are not only continuous but also absolutely continuous. Such distributions can be described by their probability density function. Informally, the
Probability_distribution
Set of charts that describes a manifold
have only k continuous derivatives in which case the atlas is said to be C k {\displaystyle C^{k}} . Very generally, if each transition function belongs to
Atlas_(topology)
Association of one output to each input
differentiable function is a real function. An antiderivative of a continuous real function is a real function that has the original function as a derivative
Function_(mathematics)
Mathematical relation assigning a probability event to a cost
optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one
Loss_function
Functions that send open (resp. closed) subsets to open (resp. closed) subsets
not necessarily continuous. Further, continuity is independent of openness and closedness in the general case and a continuous function may have one, both
Open_and_closed_maps
Representation of a mathematical function
y)=z} . This is a subset of three-dimensional space; for a continuous real-valued function of two real variables, its graph forms a surface, which can
Graph_of_a_function
Correlation of a signal with a time-shifted copy of itself, as a function of shift
discrete-time process or a real number for a continuous-time process.) Then the definition of the autocorrelation function between times t 1 {\displaystyle t_{1}}
Autocorrelation
Class of statistical models
(or logit models). Alternatively, the inverse of any continuous cumulative distribution function (CDF) can be used for the link since the CDF's range
Generalized_linear_model
Statistical test comparing two probability distributions
The Wolfram Function Repository function KS2Sample computes the exact p-value of the weighted or unweighted two-sample KS test for continuous, discrete
Kolmogorov–Smirnov_test
Value that appears most often in a set of data
frequently. A mode of a continuous probability distribution is often considered to be any value x at which its probability density function has a locally maximum
Mode_(statistics)
Circular statistical graph of proportionality
pie chart (or a circle chart) is a circular statistical graphic which is divided into slices to illustrate numerical proportion. In a pie chart, the
Pie_chart
Tool to assess control of a manufacturing process
control chart is one of the seven basic tools of quality control. Typically control charts are used for time-series data, also known as continuous data or
Control_chart
Rock mass classification system
performance by incorporating new experiences from tunnel practices. Continuous functions and a software "QuickRMR" for RMR89 and RMR14 have also been proposed
Rock_mass_rating
Type of chart
PowerPoint Histogram, similar appearance – for continuous data Misleading graph Progress bar To include bar charts in Wikipedia, see Extension:EasyTimeline
Bar_chart
Characteristic of an optical system
The optical transfer function (OTF) of an optical system such as a camera, microscope, human eye, or projector is a scale-dependent description of their
Optical_transfer_function
The Dirac delta function, although not strictly a probability distribution, is a limiting form of many continuous probability functions. It represents
List of probability distributions
List_of_probability_distributions
Covariance and correlation
g(t)} ) gives the probability density function of the sum X + Y {\displaystyle X+Y} . For continuous functions f {\displaystyle f} and g {\displaystyle
Cross-correlation
Topological space that locally resembles Euclidean space
that are continuous in both directions. In the case of a differentiable manifold, a set of charts called an atlas, whose transition functions (see below)
Manifold
Sequential analysis technique
In statistical quality control, the CUSUM (or cumulative sum control chart) is a sequential analysis technique developed by E. S. Page of the University
CUSUM
Method used in statistics, pattern recognition, and other fields
(ANOVA) or multiple (MANOVA) continuous dependent variables by one or more independent categorical variables. Discriminant function analysis is useful in determining
Linear_discriminant_analysis
Variable representing a random phenomenon
continuous random variable. In the special case that it is absolutely continuous, its distribution can be described by a probability density function
Random_variable
Continuous stochastic process Continuous-time Markov process Continuous-time stochastic process Contrast (statistics) Control chart Control event rate Control
List_of_statistics_articles
Function related to statistics and probability theory
likelihood function, parameterized by a (possibly multivariate) parameter θ {\textstyle \theta } , is usually defined differently for discrete and continuous probability
Likelihood_function
Method of estimating the parameters of a statistical model, given observations
not necessary condition for its existence is for the likelihood function to be continuous over a parameter space Θ {\displaystyle \,\Theta \,} that is compact
Maximum_likelihood_estimation
Measure of covariance of components of a random vector
functions, the map shows statistical relations between different regions of the random functions. Statistically independent regions of the functions show
Covariance_matrix
Probability of survival beyond any specified time
{\displaystyle T} be a continuous random variable describing the time to failure. If T {\displaystyle T} has cumulative distribution function F ( t ) {\displaystyle
Survival_function
Visual representation of data
A horizon chart or horizon graph is a 2-dimensional data visualization displaying a quantitative data over a continuous interval, most commonly a time
Horizon_chart
Statistical distribution for dependence between random variables
{\displaystyle \ F_{i}\ } were assumed to be continuous. Furthermore, the above formula for the copula function can be rewritten as: C ( u 1 , u 2 , …
Copula_(statistics)
Fundamental theorem in probability theory and statistics
probability distribution function converges towards a cumulative probability distribution function corresponding to a continuous variable (namely that of
Central_limit_theorem
Sequence of data points over time
entire data set. Spline interpolation, however, yield a piecewise continuous function composed of many polynomials to model the data set. Extrapolation
Time_series
Statistical measure of how far values spread from their average
parameter λ > 0 {\displaystyle \lambda >0} is a continuous distribution whose probability density function is given by f ( x ) = λ e − λ x {\displaystyle
Variance
Manifold upon which it is possible to perform calculus
on chart intersections in the atlas must be differentiable functions on the corresponding vector space. In other words, where the domains of charts overlap
Differentiable_manifold
Numerical measure of a statistical relationship between variables
numerical measure of some type of linear correlation, meaning a linear function between two variables. The variables may be two columns of a given data
Correlation_coefficient
Nonparametric measure of rank correlation
relationship between two variables can be described using a monotonic function. The Spearman correlation between two variables is equal to the Pearson
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Measure of statistical dispersion
of a continuous distribution can be calculated by integrating the probability density function (which yields the cumulative distribution function—any other
Interquartile_range
Generates a forecast of future values of a time series
exponential window function. Whereas in the simple moving average the past observations are weighted equally, exponential functions are used to assign
Exponential_smoothing
Function for integral Fourier-like transform
group. These functions are often incorrectly referred to as the basis functions of the (continuous) transform. In fact, as in the continuous Fourier transform
Wavelet
Cylindrical conformal map projection
analysis that these charts used an equirectangular projection instead. In the 13th century, the earliest extant portolan charts of the Mediterranean
Mercator_projection
Relationship between items in a set
the free dictionary. RANKNUM, a Matlab function to compute the five types of ranks Matlab Toolbox with functions to compute ranks[link removed] TrueSkill
Ranking
Type of chart
measures. Radar charts are also known as web charts, spider charts, spider graphs, spider web charts, star charts, star plots, cobweb charts, irregular polygons
Radar_chart
Theory and technique of psychological measurement
"fit" than others. Today these differences, such as sensory and motor functioning (reaction time, visual acuity, and physical strength), are important
Psychometrics
q\}} , that is, the inverse of the cumulative probability distribution function for q. The upper tail dependence is defined analogously as λ u = lim q
Tail_dependence
Dividing things between two categories
dichotomization in which a continuous function is transformed into a binary variable. Tests whose results are of continuous values, such as most blood
Binary_classification
Set of statistical processes for estimating the relationships among variables
independent variables. Most regression models propose that Yi is a function (regression function) of Xi and β, with ei representing an additive error term that
Regression_analysis
Tabular arrangement of the chemical elements
properties and atomic structures of the chemical elements are a periodic function of their atomic number. Elements are placed in the periodic table according
Periodic_table
Type of average of a collection of numbers
property, and any sample of data from it, can take on any value from a continuous range instead of, for example, just integers, then the probability of
Arithmetic_mean
Plot using the dispersal of scattered dots to show the relationship between variables
A scatter plot, also called a scatterplot, scatter graph, scatter chart, scattergram, or scatter diagram, is a type of plot or mathematical diagram using
Scatter_plot
Graphical representation of the distribution of numerical data
Matlab function to plot nice histograms Dynamic Histogram in MS Excel Histogram construction and manipulation using Java applets, and charts on SOCR
Histogram
Mathematical parametrization of vector spaces by another space
Rk → U; these are precisely the continuous functions U → Rk, and such a function is a k-tuple of continuous functions U → R.) Even more: the category
Vector_bundle
Class of statistical survival models
can be viewed as consisting of two parts: the underlying baseline hazard function, often denoted λ 0 ( t ) {\displaystyle \lambda _{0}(t)} , describing how
Proportional_hazards_model
Apparent lack of pattern or predictability in events
of doing this include drawing names out of a hat or using a random digit chart (a large table of random digits). In information science, irrelevant or
Randomness
Statistical measure of variability
reciprocal of the quantile function Φ − 1 {\displaystyle \Phi ^{-1}} (also known as the inverse of the cumulative distribution function) for the standard normal
Median_absolute_deviation
Mathematical function, inverse of an exponential function
of functions pass to their inverses. Thus, as f(x) = bx is a continuous and differentiable function, so is logb y. Roughly, a continuous function is differentiable
Logarithm
Fourth standardized moment in statistics
referring to the peak). Examples of platykurtic distributions include the continuous and discrete uniform distributions, and the raised cosine distribution
Kurtosis
Statistical measure to determine how suited data is for factor analysis
and p j k {\displaystyle p_{jk}} is the partial correlation. This is a function of the squared elements of the `image' matrix compared to the squares of
Kaiser–Meyer–Olkin_test
Approximation method in statistics
describes the variance in a prediction of the dependent variable as a function of the independent variable and the deviations from the fitted curve. When
Least_squares
Statistics concept
interaction; that is, a categorical (e.g., sex, ethnicity, class) or continuous (e.g., age, level of reward) variable that is associated with the direction
Moderation_(statistics)
Conditional probability used in Bayesian statistics
| X ) {\displaystyle p(\theta |X)} . It contrasts with the likelihood function, which is the probability of the evidence given the parameters: p ( X |
Posterior_probability
Unit of information
(/ˈdeɪtə/ DAY-tə, US also /ˈdætə/ DAT-ə) is a collection of discrete or continuous values that conveys information, describing the quantity, quality, fact
Data
Model of the extended complex plane plus a point at infinity
a continuous function from the Riemann sphere to itself. As a one-dimensional complex manifold, the Riemann sphere can be described by two charts, both
Riemann_sphere
Data visualization
introduced by Mary Eleanor Spear in her book "Charting Statistics" in 1952 and again in her book "Practical Charting Techniques" in 1969. The box-and-whisker
Box_plot
Mathematical idealization of the trace left by a moving point
image of an interval to a topological space by a continuous function. In some contexts, the function that defines the curve is called a parametrization
Curve
Measure of the joint variability
{\displaystyle X} and Y {\displaystyle Y} have the following joint probability mass function, in which the six central cells give the discrete joint probabilities f
Covariance
v t e Statistics Outline Index Descriptive statistics Continuous data Center Mean Arithmetic Arithmetic-Geometric Contraharmonic Cubic Generalized/power
Spherical_design
Statistic measuring inter-rater agreement for categorical items
plot Graphics Bar chart Biplot Box plot Control chart Correlogram Fan chart Forest plot Histogram Pie chart Q–Q plot Radar chart Run chart Scatter plot Stem-and-leaf
Cohen's_kappa
Diagnostic plot of binary classifier ability
The ROC can also be thought of as a plot of the statistical power as a function of the Type I Error of the decision rule (when the performance is calculated
Receiver operating characteristic
Receiver_operating_characteristic
Statistic which divides a data set into 100 parts and analyzes it as a percentage
number of observations is very large and the probability distribution is continuous. In the limit, as the sample size approaches infinity, the 100pth percentile
Percentile
Type of bar chart
diagrams, also called tornado plots, tornado charts or butterfly charts, are a special type of Bar chart, where the data categories are listed vertically
Tornado_diagram
Statistical model validation technique
vector xi are denoted xi1, ..., xip. If least squares is used to fit a function in the form of a hyperplane ŷ = a + βTx to the data (xi, yi) 1 ≤ i ≤ n
Cross-validation_(statistics)
Data graphic
v t e Statistics Outline Index Descriptive statistics Continuous data Center Mean Arithmetic Arithmetic-Geometric Contraharmonic Cubic Generalized/power
Ridgeline_plot
Measure of variation in statistics
_{i=1}^{N}p_{i}x_{i}\,.} The standard deviation of a continuous real-valued random variable X with probability density function p(x) is σ = ∫ X ( x − μ ) 2 p ( x ) d
Standard_deviation
Branch of statistics
least squares estimates of survival functions, without lifetime data. While many parametric models assume a continuous-time, discrete-time survival models
Survival_analysis
Processes that maintain quality at a constant level
hence around 1840 tolerance limits were introduced, wherein a design would function if its parts were measured to be within the limits. Quality was thus precisely
Quality_control
Measure of the shape of a probability distribution function
2ex]\int x^{n}f(x)\,dx,&{\text{continuous distribution}}\end{cases}}} The nth moment about zero of a probability density function f ( x ) {\displaystyle f(x)}
Moment_(statistics)
N-th root of the product of n numbers
∞ ) {\displaystyle f:[a,b]\to (0,\infty )} is a positive continuous real-valued function, its geometric mean over this interval is GM [ f ] = exp
Geometric_mean
Model for generating observable data in probability and statistics
classifiers. In application to classification, the observable X is frequently a continuous variable, the target Y is generally a discrete variable consisting of
Generative_model
Formal information theory restatement of Occam's Razor
other hyper-volumes in other approximations) to optimally discretize continuous parameters. Therefore the posterior is always a probability, not a probability
Minimum_message_length
Estimator for quality of a statistical model
of fit (as assessed by the likelihood function), but it also includes a penalty that is an increasing function of the number of estimated parameters.
Akaike_information_criterion
Measure of the asymmetry of random variables
1198/106186004X12632. S2CID 120919149. Johnson, NL; Kotz, S; Balakrishnan, N (1994). Continuous Univariate Distributions. Vol. 1 (2 ed.). Wiley. ISBN 0-471-58495-9. MacGillivray
Skewness
Generalization of the one-dimensional normal distribution to higher dimensions
{\displaystyle {\boldsymbol {\Sigma }}} , such that the characteristic function of X {\displaystyle \mathbf {X} } is φ X ( u ) = exp ( i u T μ − 1 2
Multivariate normal distribution
Multivariate_normal_distribution
Statistical property
several individual quantities is known then the standard error of some function of the quantities can be easily calculated; when the probability distribution
Standard_error
Family of probability distributions
mass function p Y ( y ) = p X ( y − a b ) {\displaystyle p_{Y}(y)=p_{X}\left({\frac {y-a}{b}}\right)} . If X {\displaystyle X} is a continuous random
Location–scale_family
Isomorphism of differentiable manifolds
is an invertible function that maps one differentiable manifold to another such that both the function and its inverse are continuously differentiable.
Diffeomorphism
Statistical model for a binary dependent variable
analytic function in X. With this choice, the single-layer neural network is identical to the logistic regression model. This function has a continuous derivative
Logistic_regression
Statistical measure of association
the function cramerV() from the package rcompanion calculates V using the chisq.test function from the stats package. In contrast to the function cramersV()
Cramér's_V
Type of statistical measure over subsets of a dataset
(or, in discrete time, is a Dirichlet kernel). The continuous moving average of an integrable function f:ℝ→ℝ is defined via integration as: Mf,ε:ℝ→ℝx↦12ε∫x−εx+εf(t)dt
Moving_average
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
data that are linear or even logarithmically non-linear and include a continuous range for the independent variable with sparse measurements across each
Coefficient_of_variation
Statistical method for handling multiple comparisons
{\displaystyle \mathrm {FDR} \leq {\frac {m_{0}}{m}}q} Independent and continuous: F D R = m 0 m q {\displaystyle \mathrm {FDR} ={\frac {m_{0}}{m}}q} Positive
False_discovery_rate
Probability distribution
t distribution (or simply the t distribution) t ν {\displaystyle t_{\nu }} is a continuous probability distribution that generalizes the standard normal distribution
Student's_t-distribution
Type of statistics
breakdown point and the influence function described below. The practical effect of problems seen in the influence function can be studied empirically by
Robust_statistics
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CONTINUOUS FUNCTION-CHART
CONTINUOUS FUNCTION-CHART
CONTINUOUS FUNCTION-CHART
CONTINUOUS FUNCTION-CHART
CONTINUOUS FUNCTION-CHART
CONTINUOUS FUNCTION-CHART
CONTINUOUS FUNCTION-CHART
CONTINUOUS FUNCTION-CHART
CONTINUOUS FUNCTION-CHART
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