For example, it is evinced by the adolescent ( or adult ) whose beliefs and actions represent primarily his rebellion and reaction against the ideas and behavior patterns of others, rather than his inner conviction and choice.

In this manner, for example, it was theorized that mercury could penetrate into metals and modify their inner structure.

Since the mid-1890s Schweitzer had formed the inner resolve that it was needful for him as a Christian to repay to the world something for the happiness which it had given to him, and he determined that he would pursue his younger interests until the age of thirty and then give himself to serving humanity, with Jesus serving as his example.

The case where X is F, and we have a bilinear form, is particularly useful ( see for example scalar product, inner product and quadratic form ).

For example, focusing on the subnavel area is important for the practice of tummo, or inner fire.

An important example is a Hilbert space, where the norm arises from an inner product.

Gnosis itself is and was obtained through understanding at which one can arrive via inner experience or contemplation such as an internal epiphany for example.

That is, the Hausdorff dimension of an n-dimensional inner product space equals n. This means, for example, the Hausdorff dimension of a point is zero, the Hausdorff dimension of a line is one, and the Hausdorff dimension of the plane is two.

* A simple example is the real numbers with the standard multiplication as the inner product

For example, the Mediterranean Sea was known to the Romans as the inner sea because the Roman empire spread around its coasts.

For example, in internal conversion decay, the energy from an excited nucleus may be used to eject one of the inner orbital electrons from the atom, in a process which produces high speed electrons, but is not beta decay, and ( unlike beta decay ) does not transmute one element to another.

For example, asteroids of the Alinda family are in or close to the 3: 1 resonance, with their orbital eccentricity steadily increased by interactions with Jupiter until they eventually have a close encounter with an inner planet that ejects them from the resonance.

In some cultures, inner peace is considered a state of consciousness or enlightenment that may be cultivated by various forms of training, such as prayer, meditation, t ' ai chi ch ' uan ( 太极拳, tàijíquán ) or yoga, for example.

Gradually they open up to each other and reveal their inner secrets ( for example, Allison is a compulsive liar, Bender comes from an abusive household and Brian and Claire are ashamed of their virginity ).

The word transition was first used to describe the elements now known as the d-block by the English chemist Charles Bury in 1921, who referred to a transition series of elements during the change of an inner layer of electrons ( for example n = 3 in the 4th row of the periodic table ) from a stable group of 8 to one of 18, or from 18 to 32.

Acetylsalicylic acid ( for example Aspirin ) should not be given because of its anticoagulant effect, which can be devastating in the case of inner bleeding that can occur with yellow fever.

For example, if one said " The inner city youth orchestra has been a remarkably successful initiative in that it has kept young people off the streets after school and exposed them to culture and discipline, thereby improving their self esteem and future prospects.

For example, the product of the unit circle ( with its usual topology ) and the real line with the discrete topology is a locally compact group with the product topology and Haar measure on this group is not inner regular for the closed subset

This work, following the example of similar writings of medieval mystics, consisted of directions for examinations of conscience and for spiritual self-concentration and inner contemplation ( known in mystical nomenclature as oratio recollectionis or oratio mentalis ).

In the buckeye, for example, one may see a complete gradation from the small brown outer scale through larger scales which on unfolding become somewhat green to the inner scales of the bud, which are remarkably leaf-like.

Edward was still relying upon his French relatives – Isabella's uncle, Louis d ' Évreux, for example had been sent from Paris to assist him – but Hugh Despenser the elder now formed part of the inner circle, marking the beginning of the Despensers ' increased prominence at Edward's court.

The gatehouse to the second, inner court was adorned in 1540 with an early example of a post-Copernican astronomical clock.

This property must be established as a theorem for any function proposed for such purposes for each particular space: for example, spaces such as the real numbers, Euclidean spaces, the L < sup > p </ sup > spaces ( p ≥ 1 ), and inner product spaces.

Various clusters of hair cells within the inner ear may instead be responsible ; for example, bony fish contain a sensory cluster called the macula neglecta in the utricle that may have this function.

However, many important and interesting operations are non-associative ; one common example would be the vector cross product.

For example, in copper refining, copper anodes, an intermediate product from the furnaces, are electrolysed in an appropriate solution ( such as sulfuric acid ) to yield high purity ( 99. 99 %) cathodes.

Note that if we regard the product as a vector space, then B is not a linear transformation of vector spaces ( unless or ) because, for example.

The great utility in creating CPUs that deal with vectors of data lies in optimizing tasks that tend to require the same operation ( for example, a sum or a dot product ) to be performed on a large set of data.

Not every compact space is sequentially compact ; an example is given by 2 < sup ></ sup >, with the product topology.

For example, the quotient rule is a consequence of the chain rule and the product rule.

It will for example let countries ban imports of a genetically modified organism if they feel there is not enough scientific evidence the product is safe and requires exporters to label shipments containing genetically modified commodities such as corn or cotton.

For example, feedback from a technical support center can enlighten marketers about specific services and product features clients are asking for.

One lone Welsh example at Llangorse Lake exists, likely a product of Irish influence across the Irish Sea

Vectors can be multiplied by taking their dot product, by summing the products of their respective components ( for example, if u

For example, a sales transaction can be broken up into facts such as the number of products ordered and the price paid for the products, and into dimensions such as order date, customer name, product number, order ship-to and bill-to locations, and salesperson responsible for receiving the order.

For example, sales data might be aggregated to weekly totals and converted from internal product codes to use UPCs so that it can be compared with ACNielsen data.

One example is the First Things First manifesto which was launched within the graphic design community and states " We propose a reversal of priorities in favor of more useful, lasting and democratic forms of communication – a mindshift away from product marketing and toward the exploration and production of a new kind of meaning.

For example, a rectangle with a width of 3 and a length of 4 has an area that represents the product, 12.

For example, some new product development projects place a high premium on finishing quickly.

The GCD of two numbers a and b is the product of the prime factors shared by the two numbers, where a same prime factor can be used multiple times, but only as long as the product of these factors divides both a and b. For example, since 1386 can be factored into 2 × 3 × 3 × 7 × 11, and 3213 can be factored into 3 × 3 × 3 × 7 × 17, the greatest common divisor of 1386 and 3213 equals 63 = 3 × 3 × 7, the product of their shared prime factors.

Meat is an example of a direct product taken from an animal, which comes from muscle systems or from organs.

For example, on a set of quaternary ( i. e., 4-ary ) variables, representing the full function requires storing values, the value of the function for each element in the Cartesian product, i. e., each of the 1024 possible combinations for.

On the cathode catalyst, oxygen molecules react with the electrons ( which have traveled through the external circuit ) and protons to form water — in this example, the only waste product, either liquid or vapor.

For example, a product package might include a logo or other artwork, organized text and pure design elements such as shapes and color which unify the piece.