This is the documentation for the Operator Ontology. All instances of the Operator class are
listed here. Operators are relatively simple models that transform a quantitative property into
another quantitative property.

Visit the CSDMS Standard Names site
to view the standard name documentation for operations.

If you detect an error in this or any other document, please contact us to let us know.

Documentation last generated on 2019-04-29 13:07 EDT.

This instance is a narrower concept derived from standard_deviation.

This instance is a narrower concept derived from standard_deviation.

This operator modifies the units of the property it is applied to by multiplying those units by the units rad.

This instance is a narrower concept derived from max.

This instance has the following attributes:

This instance has a related Wikipedia page. Short extract:

*In the natural sciences, especially in atmospheric and Earth sciences involving applied statistics, an anomaly is the deviation in a quantity from its expected value, e.g., the difference between a measurement and a mean or a model prediction.
Similarly, a standardized anomaly equals an anomaly divided by a standard deviation.*

This operator modifies the units of the property it is applied to by raising the units to the power of 1.0.

This operator modifies the units of the property it is applied to by multiplying those units by the units L.

This instance is a narrower concept derived from average.

This instance has the following attributes:

This instance has a related Wikipedia page. Short extract:

*There are several kinds of means in various branches of mathematics (especially statistics).
For a data set, the arithmetic mean, also called the mathematical expectation or average, is the central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values.*

This operator modifies the units of the property it is applied to by raising the units to the power of 1.0.

This instance has a related Wikipedia page. Short extract:

*In colloquial language, an average is a single number taken as representative of a list of numbers. Different concepts of average are used in different contexts.*

This operator modifies the units of the property it is applied to by raising the units to the power of 1.0.

This instance has a related Wikipedia page. Short extract:

*An azimuth ( (listen); from Arabic اَلسُّمُوت as-sumūt, “the directions”, the plural form of the Arabic noun السَّمْت as-samt, meaning "the direction") is an angular measurement in a spherical coordinate system. The vector from an observer (origin) to a point of interest is projected perpendicularly onto a reference plane; the angle between the projected vector and a reference vector on the reference plane is called the azimuth.*

This instance is a narrower concept derived from angle.

This compound operator has the head operator azimuth_angle and modifies the operator gradient.

This operator modifies the units of the property it is applied to by multiplying those units by the units rad.

This compound operator has the head operator azimuth_angle and modifies the operator left_normal.

This operator modifies the units of the property it is applied to by multiplying those units by the units rad.

This compound operator has the head operator azimuth_angle and modifies the operator z_integral.

This instance has the following attributes:

This instance is a narrower concept derived from error.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

This instance is a narrower concept derived from anomaly.

This instance has a related Wikipedia page. Short extract:

*In vector calculus, the curl is a vector operator that describes the infinitesimal rotation of a vector field in three-dimensional Euclidean space. At every point in the field, the curl of that point is represented by a vector.*

This operator modifies the units of the property it is applied to by multiplying those units by the units L^-1.

This instance is a narrower concept derived from max.

This instance has the following attributes:

This instance is a narrower concept derived from min.

This instance has the following attributes:

Alternative labels for this instance are: one-day_time_integral.

This instance is a narrower concept derived from time_integral.

This instance has the following attributes:

This instance is a narrower concept derived from anomaly.

This operator modifies the units of the property it is applied to by multiplying those units by the units deg.

This instance is a narrower concept derived from variance.

This instance has the following attributes:

This instance is a narrower concept derived from max.

This instance has the following attributes:

This instance is a narrower concept derived from mean.

This instance has the following attributes:

This instance is a narrower concept derived from min.

This instance has the following attributes:

This instance is a narrower concept derived from range.

This instance has the following attributes:

This instance is a narrower concept derived from time_integral.

This instance has the following attributes:

This instance is a narrower concept derived from max.

This compound operator has the head operator domain_max and modifies the operator increment.

This instance is a narrower concept derived from min.

This compound operator has the head operator domain_min and modifies the operator increment.

This instance is a narrower concept derived from range.

This instance is a narrower concept derived from time_integral.

This instance is a narrower concept derived from max.

This instance is a narrower concept derived from min.

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from spatial_derivative.

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance has the following attributes:

This compound operator has the head operator east_component and modifies the operator z_integral.

This operator modifies the units of the property it is applied to by multiplying those units by the units L.

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

This compound operator has the head operator east_derivative and modifies the operator east_component_of_z_integral.

This compound operator has the head operator east_derivative and modifies the operator north_component_of_z_integral.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from angle.

This compound operator has the head operator elevation_angle and modifies the operator gradient.

This instance is a narrower concept derived from five-day_time_integral.

This instance is a narrower concept derived from ten-day_time_integral.

This instance is a narrower concept derived from five-day_time_integral.

This instance is a narrower concept derived from time_integral.

This instance is a narrower concept derived from five-day_time_integral.

This instance has a related Wikipedia page. Short extract:

*A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.*

This operator modifies the units of the property it is applied to by raising the units to the power of 0.0.

This instance has a related Wikipedia page. Short extract:

*In electronics, gain is a measure of the ability of a two-port circuit (often an amplifier) to increase the power or amplitude of a signal from the input to the output port by adding energy converted from some power supply to the signal. It is usually defined as the mean ratio of the signal amplitude or power at the output port to the amplitude or power at the input port.*

This operator modifies the units of the property it is applied to by raising the units to the power of 0.0.

This instance has a related Wikipedia page. Short extract:

*In colloquial language, an average is a single number taken as representative of a list of numbers. Different concepts of average are used in different contexts.*

This instance is a narrower concept derived from average.

This instance has the following attributes:

This instance has a related Wikipedia page. Short extract:

*In colloquial language, an average is a single number taken as representative of a list of numbers. Different concepts of average are used in different contexts.*

This instance is a narrower concept derived from average.

This instance has the following attributes:

This instance has a related Wikipedia page. Short extract:

*In vector calculus, the gradient is a multi-variable generalization of the derivative. Whereas the ordinary derivative of a function of a single variable is a scalar-valued function, the gradient of a function of several variables is a vector-valued function.*

This operator modifies the units of the property it is applied to by multiplying those units by the units L^-1.

This instance is a narrower concept derived from time_integral.

This instance has the following attributes:

This instance has a related Wikipedia page. Short extract:

*Inverse or invert may refer to:*

This operator modifies the units of the property it is applied to by raising the units to the power of -1.0.

This instance has a related Wikipedia page. Short extract:

*In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a function on Euclidean space. It is usually denoted by the symbols ∇·∇, ∇2, or Δ. The Laplacian Δf(p) of a function f at a point p, is (up to a factor) the rate at which the average value of f over spheres centered at p deviates from f(p) as the radius of the sphere grows.*

This operator modifies the units of the property it is applied to by multiplying those units by the units L^-2.

This instance has a related Wikipedia page. Short extract:

*In mathematics, a rate is the ratio between two related quantities. If the denominator of the ratio is expressed as a single unit of one of these quantities, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable.*

This operator modifies the units of the property it is applied to by multiplying those units by the units L^-1.

This instance has a related Wikipedia page. Short extract:

*In mathematics, the logarithm is the inverse function to exponentiation (it is an example of a concave function). That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.*

This operator modifies the units of the property it is applied to by raising the units to the power of 0.0.

This instance is a narrower concept derived from limit.

This instance has the following attributes:

This instance has a related Wikipedia page. Short extract:

*In mathematics, magnitude is the size of a mathematical object, a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering (or ranking) of the class of objects to which it belongs.*

This compound operator has the head operator magnitude and modifies the operator gradient.

This compound operator has the head operator magnitude and modifies the operator z_integral.

This operator modifies the units of the property it is applied to by multiplying those units by the units L.

This instance has a related Wikipedia page. Short extract:

*In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.*

This instance is a narrower concept derived from sum.

This instance has the following attributes:

This instance is a narrower concept derived from average.

This instance has a related Wikipedia page. Short extract:

*The median is the value separating the higher half from the lower half of a data sample (a population or a probability distribution). For a data set, it may be thought of as the "middle" value.*

This instance has a related Wikipedia page. Short extract:

*In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.*

This instance is a narrower concept derived from sum.

This instance has the following attributes:

This instance is a narrower concept derived from anomaly.

This instance is a narrower concept derived from anomaly.

Alternative labels for this instance are: one-month_time_integral.

This instance is a narrower concept derived from time_integral.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance has the following attributes:

This compound operator has the head operator north_component and modifies the operator z_integral.

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

This compound operator has the head operator north_derivative and modifies the operator east_component_of_z_integral.

This compound operator has the head operator north_derivative and modifies the operator north_component_of_z_integral.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from time.

This instance has the following attributes:

This operator modifies the units of the property it is applied to by multiplying those units by the units L^-2 T^-1.

This instance has a related Wikipedia page. Short extract:

*In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. Thus, for instance, 6 is the product of 2 and 3 (the result of multiplication), and
x
⋅
(
2
+
x
)
{\displaystyle x\cdot (2+x)}
is the product of
x
{\displaystyle x}
and
(
2
+
x
)
{\displaystyle (2+x)}
(indicating that the two factors should be multiplied together).*

This instance has a related Wikipedia page. Short extract:

*The vector projection of a vector a on (or onto) a nonzero vector b (also known as the vector component or vector resolution of a in the direction of b) is the orthogonal projection of a onto a straight line parallel to b. It is a vector parallel to b, defined as
a
1
=
a
1
b
^
{\displaystyle \mathbf {a} _{1}=a_{1}\mathbf {\hat {b}} \,}
where
a
1
{\displaystyle a_{1}}
is a scalar, called the scalar projection of a onto b, and b̂ is the unit vector in the direction of b.*

This instance has a related Wikipedia page. Short extract:

*In mathematics, and more specifically in naive set theory, the range of a function refers to either the codomain or the image of the function, depending upon usage. Modern usage almost always uses range to mean image.*

This instance has a related Wikipedia page. Short extract:

*In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).*

This instance is a narrower concept derived from ten-day_time_integral.

This instance has a related Wikipedia page. Short extract:

*In mathematics, in the fields of multilinear algebra and representation theory, the principal invariants of the second rank tensor
A
{\displaystyle \mathbf {A} }
are the coefficients of the characteristic polynomial
p
(
λ
)
=
det
(
A
−
λ
I
)
{\displaystyle \ p(\lambda )=\det(\mathbf {A} -\lambda \mathbf {I} )}
,where
I
{\displaystyle \mathbf {I} }
is the identity operator and
λ
i
∈
C
{\displaystyle \lambda _{i}\in \mathbb {C} }
represent the polynomial's eigenvalues.*

This operator modifies the units of the property it is applied to by raising the units to the power of 2.0.

This instance is a narrower concept derived from five-day_time_integral.

This instance has the following attributes:

This operator modifies the units of the property it is applied to by multiplying those units by the units L^-2.

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance has a related Wikipedia page. Short extract:

*The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus.*

This instance has the following attributes:

This instance has a related Wikipedia page. Short extract:

*In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other.*

This instance has a related Wikipedia page. Short extract:

*In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation.*

This operator modifies the units of the property it is applied to by raising the units to the power of 2.0.

This compound operator has the head operator square and modifies the operator x_component.

This operator modifies the units of the property it is applied to by raising the units to the power of 2.0.

This compound operator has the head operator square and modifies the operator y_component.

This instance has the following attributes:

This instance has a related Wikipedia page. Short extract:

*Step or Steps may refer to:*

This instance has a related Wikipedia page. Short extract:

*In mathematics, summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total. Besides numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any types of mathematical objects on which an operation denoted "+" is defined.*

This instance has a related Wikipedia page. Short extract:

*The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus.*

This operator modifies the units of the property it is applied to by multiplying those units by the units O^-1.

This instance is a narrower concept derived from time_integral.

This instance is a narrower concept derived from ten-day_time_integral.

This instance is a narrower concept derived from five-day_time_integral.

This instance is a narrower concept derived from time_integral.

This operator modifies the units of the property it is applied to by multiplying those units by the units T.

This instance is a narrower concept derived from average.

This compound operator has the head operator time_average and modifies the operator square.

This compound operator has the head operator time_average and modifies the operator z_integral_of_square_of_x_component.

This compound operator has the head operator time_average and modifies the operator z_integral_of_square_of_y_component.

This instance has a related Wikipedia page. Short extract:

*The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus.*

This operator modifies the units of the property it is applied to by multiplying those units by the units T^-1.

This compound operator has the head operator time_derivative and modifies the operator down_component.

This operator modifies the units of the property it is applied to by multiplying those units by the units T^-1.

This compound operator has the head operator time_derivative and modifies the operator east_component.

This operator modifies the units of the property it is applied to by multiplying those units by the units T^-1.

This compound operator has the head operator time_derivative and modifies the operator east_component_of_z_integral.

This operator modifies the units of the property it is applied to by multiplying those units by the units L T^-1.

This compound operator has the head operator time_derivative and modifies the operator north_component.

This compound operator has the head operator time_derivative and modifies the operator north_component_of_z_integral.

This operator modifies the units of the property it is applied to by multiplying those units by the units L T^-1.

This compound operator has the head operator time_derivative and modifies the operator x_component.

This compound operator has the head operator time_derivative and modifies the operator x_component_of_z_integral.

This operator modifies the units of the property it is applied to by multiplying those units by the units L T^-1.

This compound operator has the head operator time_derivative and modifies the operator y_component.

This compound operator has the head operator time_derivative and modifies the operator y_component_of_z_integral.

This compound operator has the head operator time_derivative and modifies the operator z_component.

This instance has a related Wikipedia page. Short extract:

*In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other.*

This operator modifies the units of the property it is applied to by multiplying those units by the units T.

This instance has a related Wikipedia page. Short extract:

*In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.*

This instance is a narrower concept derived from max.

This instance has a related Wikipedia page. Short extract:

*There are several kinds of means in various branches of mathematics (especially statistics).
For a data set, the arithmetic mean, also called the mathematical expectation or average, is the central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values.*

This instance is a narrower concept derived from mean.

This instance is a narrower concept derived from median.

This instance is a narrower concept derived from min.

This instance has a related Wikipedia page. Short extract:

*In mathematics, a rate is the ratio between two related quantities. If the denominator of the ratio is expressed as a single unit of one of these quantities, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable.*

This instance is a narrower concept derived from time_integral.

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from limit.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance has a related Wikipedia page. Short extract:

*In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean. Informally, it measures how far a set of (random) numbers are spread out from their average value.*

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance has the following attributes:

This compound operator has the head operator x_component and modifies the operator z_integral.

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

This compound operator has the head operator x_derivative and modifies the operator x_component_of_z_integral.

This compound operator has the head operator x_derivative and modifies the operator y_component_of_z_integral.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from second_spatial_derivative.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from second_spatial_derivative.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance has the following attributes:

This compound operator has the head operator y_component and modifies the operator z_integral.

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

This compound operator has the head operator y_derivative and modifies the operator x_component_of_z_integral.

This compound operator has the head operator y_derivative and modifies the operator y_component_of_z_integral.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from second_spatial_derivative.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from anomaly.

This instance is a narrower concept derived from average.

This instance has the following attributes:

This instance is a narrower concept derived from time_integral.

This instance has the following attributes:

Alternative labels for this instance are: standard_score.

This instance has a related Wikipedia page. Short extract:

*In statistics, the standard score is the signed fractional number of standard deviations by which the value of an observation or data point is above the mean value of what is being observed or measured. Observed values above the mean have positive standard scores, while values below the mean have negative standard scores.*

This instance is a narrower concept derived from component.

This instance has the following attributes:

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

This instance is a narrower concept derived from spatial_integral.

This instance has the following attributes:

This compound operator has the head operator z_integral and modifies the operator square_of_x_component.

This compound operator has the head operator z_integral and modifies the operator square_of_y_component.

This compound operator has the head operator z_integral and modifies the operator u_component.

This compound operator has the head operator z_integral and modifies the operator v_component.

This compound operator has the head operator z_integral and modifies the operator x_x_component.

This compound operator has the head operator z_integral and modifies the operator x_y_component.

This compound operator has the head operator z_integral and modifies the operator y_y_component.

This instance has a related Wikipedia page. Short extract:

*There are several kinds of means in various branches of mathematics (especially statistics).
For a data set, the arithmetic mean, also called the mathematical expectation or average, is the central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values.*

This instance is a narrower concept derived from mean.

This instance has the following attributes:

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.

This instance is a narrower concept derived from component.