Now form the outer product of the vectors by multiplying all the vector components and add them with coefficients to make the matrix

Now if and, the factor multiplying is zero, and

Now, multiplying 8 by 2, sixteen

Now Collins Bay consists mostly of residential subdivisions, a large conservation area ( Lemoine Point ), an airport, and areas of agricultural land.

Controversy surrounding the project ramped up quickly: the year also witnessed the re-introduction of Texada Action Now by Texada residents, and the formation of the Alliance to Stop LNG, comprising a large number of conservation, environmental, community and labour groups around the Georgia Basin.

In 1977 she and Willi became concerned about proposed nuclear power plants, and joined in forming Fair Electric Rates Now ( FERN ), which was a ratepayer and environmental group that worked for many years opposing utility investment in nuclear energy, encouraging investment in energy conservation, and supporting utility rate design that rewarded consumers who used less power.

Now using the definition of linear momentum p = mv ( if mass is constant ) and the definition of velocity

Now, if every bridge has been traversed exactly once, it follows that, for each land mass ( except for the ones chosen for the start and finish ), the number of bridges touching that land mass must be even ( half of them, in the particular traversal, will be traversed " toward " the landmass ; the other half, " away " from it ).

Now it was ready to introduce the Mitsubishi 500, a mass market sedan, to meet the new demand from consumers.

Cranborne also wrote to Derby arguing that he should adopt 10 shillings rather than Disraeli's 20 shillings for the qualification of the payers of direct taxation: " Now above 10 shillings you won't get in the large mass of the £ 20 householders.

Now there is some poverty ... and a greater number of gigantic fortunes than in any other country of the world " and " As respects education ... the profusion of … elementary schools tends to raise the mass to a higher point than in Europe ... there is an increasing class that has studied at the best universities.

Now, with gravitational time dilation, both observers — those at sea level, versus the climber — agree that the clock nearer the mass is slower in rate, and they agree on the ratio of the difference ( time dilation from gravity is therefore not reciprocal ).

Now considering, the blue line shows the motion of the damping mass and the red line shows the motion of the primary mass.

Now there are 62 mass cultural organizations, 13 performing groups, 8 cinemas, 285 projecting units, over 70 karaoke halls and over 1000 newsstands.

Now home to more than 124 factories, the industrial complex is completely engulfed by an urban mass.

Now, it was pointed out by Thomson and Searle that this electromagnetic mass also increases with velocity.

Now supposing that one such pulse is absorbed by an atom of mass M. The light pulse comes with a momentum ( hν / c ), and when it is absorbed this momentum is transferred into the atom, which then moves with a velocity v = ( hν / cM ).

Now, local authorities and the government have to deal with the destruction of a city, and after showing scenes of mass destruction farther out from the blast, a tearful John Woodley can only say " This is a very dark moment " as the image fades to black.

In the early 1900s, the original " East Side " of Central Los Angeles was along Alameda Street, bordered by Brooklyn Avenue or Macy Street ( Now renamed Cesar Chavez Avenue ), Pico and Olympic boulevards and the Los Angeles River or later Indiana Avenue, was sometimes nicknamed Bronzeville in the 1930s and 1940s, due to the mass migration of Mexican Americans, as well Black Americans from the Southeastern U. S. arrived in the Great Depression and World War II mainly settled along Azusa Street and Temple Street ( see the Azusa Street Revival ) bordered by First and Sixth streets, some Koreans after the Korean War in the 1950s and 1960s, and even the Cherokee Indians from Oklahoma, USA to the section where the El Pueblo de Los Angeles: the Mexican pueblo turned to California state historic site happened to be located.

Now the athletes body mass remains stationary and the boat doesn't pitch bow to stern nearly as much.

Trading algorithms / systems may lose their profit potential when they obtain enough of a mass following to curtail their effectiveness: " Now it's an arms race.

Now used generically, the term mail merge is a process to create personalized letters and pre-addressed envelopes or mailing labels for mass mailings from a word processing document which contains fixed text, which will be the same in each output document, and variables, which act as placeholders that are replaced by text from the data source.

Now within a capitalist system of mass production, craft has become a commodity to be bought and sold for money, where it is now referred to as having an “ exchange-value ”.

Now armed with a complete portfolio from light to heavy rail, UTDC had a number of additional " wins " across North America, becoming a major vendor in the mass transit market.

Now, consider a case where the mass is not a point mass, but is distributed in a spherically-symmetric distribution about the center, with an average mass density of,

Now substitute equations ( 2 ) and ( 4 ) into equation ( 1 ) to obtain

Now there are two related linear equations, each with two unknowns, which lets us produce a linear equation with just one variable, by subtracting one from the other ( called the elimination method ):

Now, we can solve for, and we get the equation for the critical angle:

Now if u is any solution of the Poisson equation in V:

Now we see the great advantage of the first-order equation over the one Schrödinger had tried-this is the conserved current density required by relativistic invariance, only now its 4th component is positive definite and thus suitable for the role of a probability density:

Now we have an easy way to calculate the radius of the first Fresnel zone ( F < sub > 1 </ sub > in the above equation ), knowing the distance between the two antennas and the frequency of the transmitted signal.

Now let and rewrite this equation as follows:

Now substitute this expression for x into the bottom equation:

Now substitute this expression for ( b / a ) into the original equation for sin ( α + β ) and you will have the angle sum identity for α and β in terms of sine.

Now, the Triangle Model equation becomes:

Now, equation ( 1 ) can only be true if at least one of the other three is false.

Now one can expand the matrix product in our equation by bilinearity

Now the time-derivative of the momentum p equals the Newtonian force, and so here the first Hamilton equation means that the force on the particle equals the rate at which it loses potential energy with respect to changes in its location.

Now, all the zeroes in the middle of the two vectors above being disregarded and collapsed, only the following equation is left:

Now, in dual way with respect to the small perturbations, we have to solve the Schrödinger equation

Now multiply the differential equation

Now multiply the differential equation

Now we consider the following differential equation:

Now Fermi's golden rule gives a master equation for the average rate of quantum jumps from state α to β ; and from state β to α.

Now rearrange the equation so that is on the left and on the right

Now, you might wonder why we would ever want to get an approximate fit when we could just increase the degree of the polynomial equation and get an exact match.

Now we have to check that the following equation holds:

Now we have to check that the following equation holds ( in this case k =

Now we have to check that the following equation holds:

Now, to relate the dielectric constant to the polarizability, which is what the Clausius-Mosotti equation ( or relation ) is all about, you must consider that the results will depend on the relation that holds between the macroscopic electric field and the local electric field.