Different musical notes are made in seclusion, rather than in a linear sequence, giving a sound texture similar to pointillism.

Different linear combinations of W, X, Y and Z can create signals equivalent to those picked up by any conventional microphone ( omnidirectional, cardioid, hypercardioid, etc.

Different types of nucleic acids will also be separated into bands, e. g. RNA is denser than supercoiled plasmid DNA, which is denser than linear chromosomal DNA.

Different fields of study define autocorrelation differently, and not all of these definitions are equivalent.

Different sites expose ions to different local electric fields, which shifts the energy levels via the Stark effect.

Different neocortical architectonic fields are distinguished upon variations in the thickness of these layers, their predominant cell type and other factors such as neurochemical markers.

Different sports require fields of different size and shape.

Different animals have different fields of view, depending on the placement of the eyes.

Different theories of knowledge have different implications for what is considered relevant and these fundamental views have implications for all other fields as well.

Different fields provide differing definitions of similarity:

Different security types can be assigned to fields through Dynamics GP using a single Explorer-style interface and security errors can be identified and fixed quickly using the interactive dialogs to help eliminate the need to change login user and minimize IT administration.

Different fields define metacognition very differently.

Different software packages can plot slope fields.

Different types are used for preparation of fields before planting, and for the control of weeds between row crops.

Different fields have different " a -" and " b-particles ".

Different fields began to turn to animals as an important topic at different times and for various reasons, and these separate disciplinary histories shape how scholars approach animal studies.

Different parts of these cells sometimes absorb or reflect different wavelengths so that it is often possible to see internal portions of cells in a different color.

Different cards are used for males and females, and a corner is clipped from the cards of adults, and of children when they reach puberty.

Different sampling ratios were applied under different conditions.

To be Katharine Ross, and work in a nicer shop somewhere, at a little more money so she could have prettier clothes, and learn ladies' manners and all like that, and get to know different people than up to now, not just the ones like her here, with foreign-sounding names, the ones went to the same church and -- Different place, different job, different people, she'd be all different too.

To his Harvard colleague, Josiah Royce, whose philosophic position differed radically from his own, James could write, `` Different as our minds are, yours has nourished mine, as no other social influence ever has, and in converse with you I have always felt that my life was being lived importantly ''.

* Different dialects of a language may use different phonemes for the same word.

Different atomic mechanisms of alloy formation, showing pure metal, substitutional, interstitial, and a combination of the two.

Different classes of bacteriocins have different potential as therapeutic agents.

Different antibody idiotypes, each having distinctly formed complementarity determining regions, correspond to the various " locks " that can match " the keys " ( epitopes ) presented on the antigen molecule.

Different theories of the Circumpolar Current balance the momentum imparted by the winds in different ways.

Different cultures affect ritual aspects of meetings, but around the world " many particularities of the AA meeting format can be observed at almost any A. A. gathering ".

Different combinations of woods and construction elements ( for example, how the top is braced ) affect the timbre or " tone " of the guitar.

Different armies use different approaches to ammunition supply, which can vary with the nature of operations.

* Sunstein, Emily W. A Different Face: The Life of Mary Wollstonecraft.

Different tellings also diverge in the hunter's transgression, which is sometimes merely seeing the virgin goddess naked, sometimes boasting he is a better hunter than she, or even merely being a rival of Zeus for the affections of Semele.

Different bookmakers may offer different odds on the same outcome of a given event ; by taking the best odds offered by each bookmaker, a customer can under some circumstances cover all possible outcomes of the event and lock a small risk-free profit, known as a Dutch book.

Different stitches produce pieces with distinct textures, shapes, and patterns.

Different cultures through history have depicted blindness in a variety of ways ; among the Greeks, for example, it was a punishment from the gods, for which the afflicted individual was often granted compensation in the form of artistic genius.

Different macromolecules can assemble in larger complexes, often needed for biological activity.

Different strategies have evolved in different animals, depending on the animals ' needs.

Different nucleic acid types differ in the specific sugar found in their chain ( e. g., DNA or deoxyribonucleic acid contains 2-deoxyriboses ).

Different racquets have playing characteristics that appeal to different players.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Let N be a linear operator on the vector space V.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

From these results, one sees that the study of linear operators on vector spaces over an algebraically closed field is essentially reduced to the study of nilpotent operators.

If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.

** On every infinite-dimensional topological vector space there is a discontinuous linear map.

* In linear algebra, an endomorphism of a vector space V is a linear operator V → V. An automorphism is an invertible linear operator on V. When the vector space is finite-dimensional, the automorphism group of V is the same as the general linear group, GL ( V ).

His key contributions include topological tensor products of topological vector spaces, the theory of nuclear spaces as foundational for Schwartz distributions, and the application of L < sup > p </ sup > spaces in studying linear maps between topological vector spaces.

For a vector with linear addressing, the element with index i is located at the address B + c · i, where B is a fixed base address and c a fixed constant, sometimes called the address increment or stride.

where r is the position vector of the particle relative to the origin, p is the linear momentum of the particle, and × denotes the cross product.

In linear algebra, a bilinear transformation is a binary function where the sets X, Y, and Z are all vector spaces and the derived functions f < sup > x </ sup > and f < sub > y </ sub > are all linear transformations.

In mathematics, a bilinear operator is a function combining elements of two vector spaces to yield an element of a third vector space that is linear in each of its arguments.

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.

Two useful representations of a vector are simply a linear combination of basis vectors, and column matrices.