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.

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

#### 1-sigma-csu

This instance is a narrower concept derived from standard_deviation.

#### 2-sigma-csu

This instance is a narrower concept derived from standard_deviation.

#### angle

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

#### annual_time_max

This instance is a narrower concept derived from max.

This instance has the following attributes:

#### anomaly

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.

#### area_weighted_average

This instance is a narrower concept derived from average.

This instance has the following attributes:

#### mean

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.

#### average

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.

#### azimuth_angle

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.

#### azimuth_angle_of_left_normal

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.

#### azimuth_angle_of_z_integral

This compound operator has the head operator azimuth_angle 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 rad.

#### change

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

#### change_from_annual_min

This instance has the following attributes:

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

#### component

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

#### correlation

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

#### cos

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

#### counting_error

This instance is a narrower concept derived from error.

This instance has the following attributes:

#### cross-stream_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### cross-stream_derivative

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

#### cumulative_anomaly

This instance is a narrower concept derived from anomaly.

#### curl

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.

#### daily_maximum

This instance is a narrower concept derived from max.

This instance has the following attributes:

#### daily_minimum

This instance is a narrower concept derived from min.

This instance has the following attributes:

#### daily_time_integral

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:

#### day-specific_anomaly

This instance is a narrower concept derived from anomaly.

#### depression

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

#### difference

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

#### direction

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

#### directional_variance

This instance is a narrower concept derived from variance.

This instance has the following attributes:

#### diurnal_max

This instance is a narrower concept derived from max.

This instance has the following attributes:

#### daily_mean

This instance is a narrower concept derived from mean.

This instance has the following attributes:

#### diurnal_min

This instance is a narrower concept derived from min.

This instance has the following attributes:

#### diurnal_range

This instance is a narrower concept derived from range.

This instance has the following attributes:

#### daily_time_integral

This instance is a narrower concept derived from time_integral.

This instance has the following attributes:

#### domain_max

This instance is a narrower concept derived from max.

#### domain_max_of_increment

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

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

#### domain_min

This instance is a narrower concept derived from min.

#### domain_min_of_increment

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

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

#### domain_range

This instance is a narrower concept derived from range.

#### domain_time_integral

This instance is a narrower concept derived from time_integral.

#### domain_time_max

This instance is a narrower concept derived from max.

#### domain_time_min

This instance is a narrower concept derived from min.

#### down_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### down_derivative

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

#### down_east_component

This instance is a narrower concept derived from component.

#### down_north_component

This instance is a narrower concept derived from component.

#### down_z_derivative

This instance is a narrower concept derived from spatial_derivative.

#### downstream_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### downstream_derivative

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

#### drop

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

#### east_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### east_component_of_z_integral

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.

#### east_derivative

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

#### east_derivative_of_east_component_of_z_integral

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

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

#### east_derivative_of_north_component_of_z_integral

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

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

#### east_down_component

This instance is a narrower concept derived from component.

#### east_east_component

This instance is a narrower concept derived from component.

#### east_north_component

This instance is a narrower concept derived from component.

#### east_up_component

This instance is a narrower concept derived from component.

#### elevation_angle

This instance is a narrower concept derived from angle.

This compound operator has the head operator elevation_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.

#### error

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

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.

#### five-day_time_integral

This instance is a narrower concept derived from time_integral.

#### forecast

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

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

#### fraction

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.

#### gain

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.

#### geologic_time_average

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:

#### globe_time_average

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:

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.

#### half

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

#### hourly_time_integral

This instance is a narrower concept derived from time_integral.

This instance has the following attributes:

#### increment

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

#### inverse

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.

#### laplacian

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.

#### left_normal

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

#### rate

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.

#### limit

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

#### log10

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.

#### loss

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

#### lower_limit

This instance is a narrower concept derived from limit.

This instance has the following attributes:

#### magnitude

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

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

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

#### magnitude_of_z_integral

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.

#### max

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

#### max_sum

This instance is a narrower concept derived from sum.

This instance has the following attributes:

#### mean

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.

#### median

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

#### mid-range

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

#### min

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

#### min_sum

This instance is a narrower concept derived from sum.

This instance has the following attributes:

#### month-specific_anomaly

This instance is a narrower concept derived from anomaly.

#### monthly_anomaly

This instance is a narrower concept derived from anomaly.

#### monthly_time_integral

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:

#### normal_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### north_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### north_component_of_z_integral

This compound operator has the head operator north_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.

#### north_derivative

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

#### north_derivative_of_east_component_of_z_integral

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

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

#### north_derivative_of_north_component_of_z_integral

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

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

#### north_down_component

This instance is a narrower concept derived from component.

#### north_north_component

This instance is a narrower concept derived from component.

#### north_up_component

This instance is a narrower concept derived from component.

#### one-year_change

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

#### parity

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

#### peak_time

This instance is a narrower concept derived from time.

This instance has the following attributes:

#### flux

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

#### product

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

#### projection

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

#### range

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

#### ratio

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

#### reduction

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

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

#### second_invariant

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.

#### second_spatial_derivative

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.

#### south_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### south_east_component

This instance is a narrower concept derived from component.

#### south_south_component

This instance is a narrower concept derived from component.

#### spatial_derivative

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

#### spatial_integral

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 L.

#### square

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.

#### square_of_x_component

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.

#### square_of_y_component

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

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

#### standard_deviation

This instance has the following attributes:

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

#### step

Step or Steps 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.

#### sum

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

#### temperature_derivative

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.

#### ten-day_time_integral

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.

#### three-month_time_integral

This instance is a narrower concept derived from time_integral.

#### time

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

#### time_average

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.

#### time_average_of_square

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

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

#### time_average_of_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_x_component.

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

#### time_average_of_z_integral_of_square_of_y_component

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

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

#### time_derivative

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.

#### time_derivative_of_down_component

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.

#### time_derivative_of_east_component

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.

#### time_derivative_of_east_component_of_z_integral

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.

#### time_derivative_of_north_component

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

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

#### time_derivative_of_north_component_of_z_integral

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.

#### time_derivative_of_x_component

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

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

#### time_derivative_of_x_component_of_z_integral

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.

#### time_derivative_of_y_component

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

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

#### time_derivative_of_y_component_of_z_integral

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

#### time_derivative_of_z_component

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

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

#### time_integral

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.

#### time_max

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.

#### time_mean

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.

#### time_median

This instance is a narrower concept derived from median.

#### time_min

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 min.

#### rate

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 T^-1.

#### two-month_time_integral

This instance is a narrower concept derived from time_integral.

#### u_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### up_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### up_derivative

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

#### up_south_component

This instance is a narrower concept derived from component.

#### up_up_component

This instance is a narrower concept derived from component.

#### upper_limit

This instance is a narrower concept derived from limit.

This instance has the following attributes:

#### v_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### variance

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

#### west_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### x_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### x_component_of_z_integral

This compound operator has the head operator x_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.

#### x_derivative

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

#### x_derivative_of_x_component_of_z_integral

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

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

#### x_derivative_of_y_component_of_z_integral

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

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

#### x_x_component

This instance is a narrower concept derived from component.

#### x_x_derivative

This instance is a narrower concept derived from second_spatial_derivative.

#### x_y_component

This instance is a narrower concept derived from component.

#### x_y_derivative

This instance is a narrower concept derived from second_spatial_derivative.

#### x_z_component

This instance is a narrower concept derived from component.

#### y_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### y_component_of_z_integral

This compound operator has the head operator y_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.

#### y_derivative

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

#### y_derivative_of_x_component_of_z_integral

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

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

#### y_derivative_of_y_component_of_z_integral

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

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

#### y_y_component

This instance is a narrower concept derived from component.

#### y_y_derivative

This instance is a narrower concept derived from second_spatial_derivative.

#### y_z_component

This instance is a narrower concept derived from component.

#### year-specific_anomaly

This instance is a narrower concept derived from anomaly.

#### yearly_average

This instance is a narrower concept derived from average.

This instance has the following attributes:

#### yearly_time_integral

This instance is a narrower concept derived from time_integral.

This instance has the following attributes:

#### z-score

Alternative labels for this instance are: standard_score.

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

#### z_component

This instance is a narrower concept derived from component.

This instance has the following attributes:

#### z_derivative

This instance is a narrower concept derived from spatial_derivative.

This instance has the following attributes:

#### z_integral

This instance is a narrower concept derived from spatial_integral.

This instance has the following attributes:

#### z_integral_of_square_of_x_component

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

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

#### z_integral_of_square_of_y_component

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

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

#### z_integral_of_u_component

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

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

#### z_integral_of_v_component

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

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

#### z_integral_of_x_x_component

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

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

#### z_integral_of_x_y_component

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

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

#### z_integral_of_y_y_component

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

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

#### z_mean

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:

#### z_x_component

This instance is a narrower concept derived from component.

#### z_y_component

This instance is a narrower concept derived from component.

#### z_z_component

This instance is a narrower concept derived from component.