Adjectives For Integral
Discover the most popular adjectives for describing integral, complete with example sentences to guide your usage.
Updated on March 16, 2024
Choosing the right adjective to pair with integral can dramatically alter the meaning and tone of a sentence, effectively tailoring the message to fit precise contexts and audiences. For instance, a first integral conveys the notion of groundbreaking or primary importance in mathematical discussions. In contrast, a definite integral introduces the idea of clear boundaries and finite values, offering a sense of completion and exactness. Meanwhile, terms like fourier integral dive into more specialized, technical realms, signaling to informed readers a specific analytical tool in use. Each adjective, from second to particular, from double to others, unveils new dimensions and emphasis when linked with integral, inviting exploration into how nuanced language shapes understanding. Discover the full spectrum of adjectives that give color and specificity to integrals below.
| first | The first integral is a function whose derivative is the original function. |
| definite | The definite integral of a function is the limit of the sum of the areas of a set of rectangles. |
| second | The second integral represents the total change in the quantity. |
| fourier | The Fourier integral is a mathematical tool used to represent a function as a sum of complex exponentials. |
| particular | The particular integral is a function that satisfies the non-homogeneous part of the differential equation. |
| double | The double integral of the function is equal to the area under the curve of the function. |
| overlap | Significant overlap integral induces an upper bound on the oscillator strength for the Frenkel excitons in molecular crystals. |
| indefinite | The indefinite integral of x^n is (x^(n+1))/(n+1) + C, where C is an arbitrary constant. |
| complete | The complete integral of 1/x is ln|x| + C. |
| last | I forgot to calculate the last integral |
| functional | The functional integral is a mathematical tool used in quantum field theory to calculate the probability of a quantum system evolving from one state to another. |
| elliptic | Analytic evaluation of elliptic integrals can be achieved using the Gauss-Legendre algorithm. |
| more | The separation of the sacred and the secular is becoming more integral to how we conceptualize the world. |
| general | The general integral of the function is given by an integral expression and a constant of integration. |
| above |
| dimensional | The dimensional integral is over all of the possible values of the n variables. |
| third | The third integral of the function is equal to x^3 + C. |
| single | The single integral of a function with respect to a variable represents the area under the curve of the function. |
| line | The line integral of a vector field is a way to calculate the work done by the field over a given path. |
| exponential | The exponential integral is a special function that is defined as the integral of the exponential function divided by the argument. |
| corresponding | The surface area of a sphere is given by the corresponding integral 4πr^2. |
| time | The time integral of acceleration is velocity. |
| normal | The normal integral of a function is the area under the curve of the function. |
| lebesgue | The Lebesgue integral is an extension of the Riemann integral to a wider class of functions. |
| stochastic | The stochastic integral of a function with respect to a Wiener process is a random variable. |
| improper | The improper integral from 0 to 1 of 1/x diverges to infinity. |
| proportional | To optimize the control I system, a proportional integral controller was used. |
| multiple | The multiple integral is a useful tool for finding the volume of a region in space. |
| total | The total integral of the function can be computed by using the Fundamental Theorem of Calculus. |
| triple | The triple integral of a function f(x, y, z) gives the total of f over the region where x, y, and z vary. |
| singular | The solution to this problem can be obtained by applying the singular integral |
| fuzzy | The fuzzy integral is a mathematical generalization of the classical integral, defined for functions with values in a complete lattice. |
| inner | The integral of the inner integral is the volume of the solid region. |
| independent | An integral that is not dependent on other integrals is known as an independent integral |
| gaussian | Gaussian integrals are commonly used in transformations and apply the Gaussian integral formula to get it. |
| infinite | The infinite integral from 0 to 1 of x^2 dx is 1/3. |
| effective | The effective integral cross sections were computed using the event generator PYTHIA 8.2 |
| complex | The complex integral of a function is defined as the limit of a sum of integrals over a sequence of partitions of the domain. |
| radial | The radial integral of the hydrogen atom is given by the formula ∫_0^\infty R_(nl)(r) r^2 dr. |
| finite | The Lebesgue integral is a generalization of the finite integral |
| closed | The closed integral of a function is the area under the curve of the function. |
| latter | The latter integral can be evaluated by the method of residues. |
| less | My vision is less integral than my hearing |
| ordinary | The ordinary integral of a function is the area under the curve of that function. |
| exact | The exact integral can be determined by the fundamental theorem of calculus. |
| divergent | The divergent integral is a mathematical object that is used to calculate the area under a curve that is not continuous. |
| standard | The standard integral of sin(x) is -cos(x) + C. |
| principal | The principal integral of a function is the indefinite integral plus a constant of integration. |
| half | The half integral of x^2 is (x^3)/6. |
| weighted | The weighted integral of the function over the interval is equal to the area under the curve. |
| cyclic | The cyclic integral of the function is zero. |
| angular | The angular integral provides a surface integral representation of a vector field. |
| called | The function is called integral when it is integrated. |
| spatial | The spatial integral of a function over a region is the integral of the function over the volume of the region. |
| invariant | The invariant integral is a generalization of the definite integral that is applicable to a wider class of functions. |
| hand | The hand integral of a function is the area under the curve of the function. |
| generalized | The generalized integral is a mathematical tool that extends the concept of the ordinary integral to a wider class of functions. |
| sine | The sine integral often denoted with Si(x), is widely used in the study of oscillating systems. |
| intermediate | The intermediate integral is evaluated as a function of the upper and the lower limit. |
| convergent | 'Convergent integral' is a mathematical term that refers to an integral that converges to a finite limit as the domain of integration approaches infinity. |
| fold | The fold integral is a mathematical operation that combines several functions into a single function. |
| vertical | The vertical integral of the function f(x) is equal to the area under the curve of f(x) from a to b. |
| euclidean | The Euclidean integral is a generalization of the definite integral to higher dimensions. |
| complicated | The solution to the complicated integral was found after hours of work. |
| linear | The linear integral of the function f(x) from a to b is given by the formula ∫ab f(x) dx. |
| classical | The classical integral of a function over a set is the limit of the sum of the areas of rectangles inscribed in the set. |
| logarithmic | The logarithmic integral is a function in mathematics that is defined as the integral of the reciprocal of the logarithm of x. |
| elliptical | Elliptical integrals are useful in many areas of mathematics and physics. |
| incomplete | The incomplete integral of a function is the indefinite integral of that function. |
| multidimensional | The multidimensional integral of the function f(x, y, z) over the region R is given by ∫∫∫R f(x, y, z) dV. |
| numerical | The numerical integral of a function is the limit of a sum of areas of rectangles. |
| outer | The outer integral was evaluated with respect to y. |
| electron | The electron integral is a mathematical expression that describes the energy of an electron in an atom. |
| hypsometric | The hypsometric integral is a measure of the distribution of elevations over an area. |
| configurational | The configurational integral is a mathematical tool used to calculate the number of possible configurations of a system. |
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