integral symbol

USAGE SUMMARY

The phrase "integral symbol" is correct and usable in written English. You can use it when referring to the mathematical symbol used to denote integration. For example, "The integral symbol is essential in calculus." Alternative expressions include "integration symbol" and "symbol for integration."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

4 human-written examples

Around this time, Dorsey got a tattoo on his left forearm of an elongated "S," which represented three things that interested him: an f-hole on a violin; a collarbone, which he considers the most beautiful bone in the body; and the integral symbol from calculus.

The New Yorker

Note that the exposed population at the equilibrium defined by (1.3) can be equivalently described by a differential equation obtained by applying the Leibniz differentiation rule under the integral symbol to yield (2.10).

Advances in Difference Equations

The butterfly is an integral symbol for the town because of the nearby National Butterfly Center, a privately owned sanctuary where Customs and Border Protection (CBP) contractors began chainsawing down trees in late July.

Vice

"The two symbols for Mission are La Lomita and the butterfly and both of those are being threatened". The butterfly is an integral symbol for the town because of the nearby National Butterfly Center, a privately owned sanctuary where Customs and Border Protection (CBP) contractors began chainsawing down trees in late July.

Vice

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

In fact, modern derivative and integral symbols are derived from Leibniz's d for difference and ∫ for sum.

Britannica

Thus, both the laurel and the oak were integral symbols of Roman religion and statecraft; placing them on Augustus' doorposts was tantamount to declaring his home the capital.

Wikipedia

When I walk out of a calculus exam that I thought was much harder than expected, I wish I could turn to the person next to me and say "Did you feel like just giving up and making your integral symbols into little ski jumps for small stick figure men?

Huffington Post

We will carve this biparameter maximal multilinear operator using a certain Taylor series and produce non-trivial Hölder-type estimates for one of the two "main" terms by treating it as a singular integral, the symbol of which has singular set given by two intersecting planes, similarly to that of the Biest operator, studied by Muscalu, Tao, and Thiele in [24] and [25].

Journal of Functional Analysis

Throughout this paper we use for the time-scale derivatives and integrals the symbol which is inherited from the time scale.

Advances in Difference Equations

In this context, we prove that the Dixmier trace of a pseudo-differential operator coincides with the 'Dixmier integral' of its symbol.

Journal of Functional Analysis

Linear filters are characterized by their kernel function (an impulse response) h(t), and the output z(t) can be expressed via convolution integral, where the symbol ' ' denotes the convolution operator.

Bioinformatics

Expert writing Tips

Best practice

When writing about mathematical concepts, clearly define the "integral symbol" the first time you use it, especially in contexts where readers might not be familiar with calculus.

Common error

Avoid using "integral symbol" interchangeably with other mathematical symbols like sigma (∑) or delta (Δ). Each has a distinct meaning and purpose in mathematical notation.

Linguistic Context

The phrase "integral symbol" functions primarily as a noun phrase, specifically a technical term used in mathematics. As shown by Ludwig, it denotes a specific symbol (∫) used to represent integration in calculus. It refers to the concept rather than performing an action.

Expression frequency: Rare

Frequent in

Science

50%

News & Media

37.5%

Academia

12.5%

Less common in

Encyclopedias

0%

Wiki

0%

Formal & Business

0%

Ludwig's WRAP-UP

The phrase "integral symbol" is a technical term referring to the mathematical notation (∫) used in calculus to represent integration. Ludwig confirms that it functions as a noun phrase, primarily used within formal and scientific contexts such as academic papers and news articles discussing mathematical concepts. While the phrase itself is grammatically correct, its frequency is relatively rare. When using "integral symbol", ensure clarity by defining it in contexts where the audience may lack familiarity with calculus and differentiate it from other mathematical notations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

integration symbol

Switches the adjective form but retains mathematical meaning.

symbol for integration

Rephrases the term to focus on the action of integration.

mathematical integral sign

Adds specificity, emphasizing the mathematical nature and graphical element.

sign of integration

Uses 'sign' instead of 'symbol', focusing on the mark's role.

integral notation

Shifts focus to the system of symbols rather than a single one.

Leibniz's integral symbol

Attributes the symbol to its originator, Gottfried Wilhelm Leibniz.

symbol representing integration

Expands to clarify the purpose of the symbol.

the ∫ symbol

Uses the actual symbol as the identifier.

calculus integration symbol

Clarifies it relates to calculus.

mathematical operator symbol

Broader term including other operator symbols.

FAQs

How is the "integral symbol" used in mathematical notation?

The "integral symbol", ∫, is used to denote integration in calculus. It represents the area under a curve and is a fundamental concept in determining accumulated quantities.

What is another name for the "integral symbol"?

Another name for the "integral symbol" is the "integration symbol". It can also be referred to as the sign of integration.

Who invented the "integral symbol"?

The "integral symbol" was introduced by Gottfried Wilhelm Leibniz in the late 17th century. It is based on the letter 'S', representing the Latin word 'summa' (sum).

What is the difference between the "integral symbol" and the derivative symbol?

The "integral symbol" (∫) represents integration, the process of finding the area under a curve or accumulating quantities. The derivative symbol (d/dx or similar notations) represents differentiation, which finds the instantaneous rate of change of a function. They are inverse operations of each other, according to the fundamental theorem of calculus.