Word Finder - integral

definition

A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

example

The integral of x\mapsto x^2 on [0,1] is \frac{1}{3}.

definition

A definite integral, a limit of sums.

definition

Antiderivative

example

The integral of x^2 is \frac{x^3}{3} plus a constant.

synonyms

• antiderivative
• indefinite integral
• ∫

definition

Constituting a whole together with other parts or factors; not omittable or removable

synonyms

• immanent
• inherent
• necessary

definition

Of, pertaining to, or being an integer.

definition

Relating to integration.

definition

Whole; undamaged.

It might be trivial, but it was an integral part of their marriage.

This is the binomial theorem for a positive integral index.

Your specific goals are integral to the path you choose to take.

He was therefore compelled to make excisions from his narrative and to accept as integral parts of his work passages interpolated by the censors.

It filled her whole soul, had become an integral part of herself, and she no longer struggled against it.

The French emperor, at the supposed request of the doge of Genoa, declared the Ligurian Republic to be an integral part of the French empire.

Reading is an integral part of any child's education, laying the foundation for communication and comprehension skills.

Bright colours (especially red) are frequent, and the white chemise is an integral part of the dress.

Bathroom vanities are an integral part of any bathroom.

Hungary, deprived of her ancient constitution, became an integral part of the Austrian empire.

Susan is such an integral person in our organization. Her industry knowledge is second to none.

Teaching phonics is an integral step to teaching your child how to read.

This latter work included the differential and integral calculus, the calculus of variations, the theory of attractions, and analytical mechanics.

Then the quantity E cos OdS is the product of the normal component of the force and an element of the surface, and if this is summed up all over the surface we have the total electric flux or induction through the surface, or the surface integral of the normal force mathematically expressed by JE cos OdS, provided that the dielectric constant of the medium is unity.

It is an integral part of an individual organization and as such the exercise of its functions must be governed by the organism as a whole.

The thymus gland is an integral part of the immune system.

In contrast, an integral whole is not predicable of its parts taken singularly.

The mascot, as a symbol, is an integral part of school decorations and spirit wear.

Because homes are such an integral part of long-term financial security, their upkeep and maintenance is critical.

Let these elements take control, and your backsplash will become an integral part of the kitchen design in no time.

Men were no longer relegated to wearing suits day in and day out; instead, sportswear became an integral part of regular wardrobes.

Dreams are weaved throughout stories in the Bible, and they are integral to many of the lessons learned through the text.

Floors were an integral room decoration, as were the individual pieces of furniture.

The rain dance is just one of the Native American traditional dances, and is an integral part of not only the dance culture of Native Americans, but also the culture of Indians as a whole.

In 1741 he received his first public distinction in being admitted a member of the Academy of Sciences, to which he had previously presented several papers, including a Memoire sur le calcul integral (1739).

In 1746 and 1748 he published in the Memoirs of the Academy of Berlin "Recherches sur le calcul integral," a branch of mathematical science which is greatly indebted to him.

Although an integral portion of the gut, it has ceased to assist in alimentation, its epithelium undergoes vacuolar differentiation and hypertrophy, and its lumen becomes more or less vestigial.

We find that fractions follow certain laws corresponding exactly with those of integral multipliers, and we are therefore able to deal with the fractional numbers as if they were integers.

Hence it is true for all positive integral powers of n.

The binomial theorem for positive integral index may then be written (x + y) n = -iyi +.

The mean brightness varies as .51; and the integral f J02(z)zdz is not convergent.

The Sudan was an integral part of the khedives dominions, and caused, even in ordinary times, a deficit of 200,000 to the Egyptian treasury.

At the commencement of his new career he enriched the academical collection with many memoirs, which excited a noble emulation between him and the Bernoullis, though this did not in any way affect their friendship. It was at this time that he carried the integral calculus to a higher degree of perfection, invented the calculation of sines, reduced analytical operations to a greater simplicity, and threw new light on nearly all parts of pure mathematics.

The breathable inner tent is fitted with an integral groundsheet and the zip up double doors are fitted with mosi netting as standard.

However, once it was known to be safe to eat, it became an integral part of Italian cuisine.

Controlling anger moods is an integral component of overall stress management.

Wedding flower arrangements are an integral part of the wedding plans.

Matching the method, setting, and other factors to an individual and his/her addiction pattern will prove to be integral to the chances of successful recovery.

Dorm life is a unique and integral part of the total college experience.

Most compact fluorescent lamps have an integral ballast built into the bulb, eliminating the need for an additional ballast, which is required by standard fluorescent lamps.

Clean and well-functioning gutters are integral to the upkeep of your home.

This unique, non porous material can be poured, shaped and molded into any shape, complete with integral sinks and backsplashes.

Molded into an integral sink and countertop, resin sinks come in a wide variety of colors.

Just as people look to icons for fashion ideas, so they can also be a great source of ideas for jewelry and can provide great inspiration for people who want their jewelry to be an integral part of an image.

Raised organic garden beds are an integral part of square foot gardening and other intensive gardening techniques.

Active lives are possible for women of all sizes and comfortable apparel including plus size dance clothing is an integral part of feeling great while engaging in vigorous activities.

Whether your preference is to wear it specifically for a special occasion or to make it an integral part of your everyday wardrobe, you have many options to do so thanks to the numerous t-shirt styles available today.

Giving good retirement dinner speeches is integral to letting work colleagues know how grateful a person is for their efforts.

Parts for the Sleep Number bed are integral to the product's effectiveness.

Dream analysis is an integral part of psychoanalysis.