Similarly for Euler angles, we use the Tait – Bryan angles ( in terms of flight dynamics ):

Similarly, the angle that a line makes with the horizontal can be defined by the formula

Similarly, it can be shown that the IDFT formula leads to a periodic extension.

Similarly, the Whittaker – Shannon interpolation formula represents an interpolation filter with an unrealizable frequency response.

Similarly, the formula is to require

Similarly, the present value formula can be rearranged to determine what rate of return is needed to accumulate a given amount from an investment.

Similarly, the IMDCT formula above is precisely 1 / 2 of the DCT-IV ( which is its own inverse ), where the output is shifted by N / 2 and extended ( via the boundary conditions ) to a length 2N.

Similarly, it may be shown that this topology is defined intrinsically by sets of elements of the projective coordinate ring, by the same formula as above.

Similarly by converting the integration paths to contour integrals one can obtain other formulas for the eta function, such as this generalisation ( Milgram, 2012, formula 2. 9 ) stated to be valid for < math > 0 < c < 1 </ math > and all:

Similarly, if f is a smooth function on an open set U in N, then the same formula defines a smooth function on the open set φ < sup >- 1 </ sup >( U ) in M. ( In the language of sheaves, pullback defines a morphism from the sheaf of smooth functions on N to the direct image by φ of the sheaf of smooth functions on M .)

Similarly, one can show using formula 2 that

Similarly, a power-series version of Faà di Bruno's formula may be stated using Bell polynomials as follows.

Similarly, the set of true formulas of the standard model of second order arithmetic ( or n-th order arithmetic for any n ) can be defined by a formula in first-order ZFC.

Similarly, calculated measurements of renal function ( such as the Cockroft-Gault formula ) are unlikely to reflect actual activity of the kidney, as these calculations were developed for patients in whom the circulatory system correlates with the body weight ; this relation is lost in a post-hemicorporectomy patient.

Similarly, Depression glass is also a general description for any piece of glassware manufactured during the Great Depression regardless of appearance or formula.

Similarly, when W is an odd integer the formula for an ( authentic ) tensor density can be rewritten as

Similarly, a ground formula is a formula that does not contain any free variables.

* Similarly the even-graded element γ = − σ < sub > 1 </ sub > σ < sub > 2 </ sub > corresponds to a vector rotation of 180 °:

Similarly, at the 13th convocation of the CGPM in 1968, the definitive second was redefined in terms of measurements taken from atomic clocks rather than from the earth's rotation ; in 2008 the solar day was 0. 002 s longer than in 1820 but it was only in the 1960s that this could be measured more accurately using clocks rather than relying on astronomy.

Similarly, consider a non-spinning perfectly balanced bicycle wheel mounted on a disk so that its axis of rotation makes an angle with the disk.

Similarly, a rotation whose axis of rotation lies in the xy plane can be described as a point on a sphere of fixed radius in three dimensions.

Similarly, the angular momentum for a system of particles with linear momenta and distances from the rotation axis is defined

Similarly, for a rotation clockwise about the origin, the functional form is and and the matrix form is:

Similarly, the order of a polyabolo P can be defined as the minimum number of congruent copies of P that can be assembled ( allowing translation, rotation, and reflection ) to form a rectangle.

Similarly, a uniform sphere rotated about its center will appear exactly as it did before the rotation.

Similarly experience itself can be conventionalized so that people react to certain preconceived clues for behavior without awareness of the vitality of their experiential field.

Similarly, higher levels of GNP do not, in themselves, provide grounds for raising prices, but they do relax some of the pressure on the industry so that it can raise prices higher for a given wage increase.

Similarly, although a subset of the real numbers that is not Lebesgue measurable can be proven to exist using the axiom of choice, it is consistent that no such set is definable.

Similarly, a character can find any possible universe, but they can spend character points to know of or inhabit shadows which are ( in some sense ) " real " and therefore useful.

Similarly, coral, petrified wood and other organic remains or porous rocks can also become agatized.

Similarly, no one identifies themselves as Amur Valley Ainu, although people with partial descent can be found in Khabarovsk.

Only then in fact was payment for assembly attendance, the central event of democracy ( Similarly for the period before the Persian wars, but for the very early democracy the sources are very meagre and it can be thought of as being in an embryonic state ).

Similarly, Hindi-Urdu speakers might unconsciously apply their native ' v-w ' allophony rules to English words, pronouncing war as var or advance as adwance, which can result in intelligibility problems with native English speakers.

Similarly, intuitionists object to the existence property for classical logic, where one can prove, without being able to produce any term of which holds.

Similarly, the total mass inside a sphere containing a black hole can be found by using the gravitational analog of Gauss's law, the ADM mass, far away from the black hole.

Similarly, diamond dust used as an abrasive can do harm if ingested or inhaled.

Similarly, one declarative sentence can refer to many propositions ; for instance, " I am hungry " changes meaning ( i. e. refers to different propositions ) depending on the person uttering it.

Similarly, the compiler can be told on a per-module or per-function basis which type safety level is wanted, using optimize declarations.

Similarly, some minor products can be placed below the arrow, often with a minus sign.

Similarly, dry cement powder in contact with mucous membranes can cause severe eye or respiratory irritation.

Similarly, in 1961, Maquet notes that the society in Rwanda and Burundi can be best described as castes.

Similarly, in three dimensions, the vector from the origin to the point with Cartesian coordinates can be written as:

Similarly, we can show that the coefficient of the second term can be substituted by.

Similarly, Lubumbashi and the rest of Katanga Province is linked to Zambia, through which the paved highway and rail networks of Southern Africa can be accessed.

Similarly, a deeper understanding of developmental biology can foster greater progress in the treatment of congenital disorders and diseases, e. g. studying human sex determination can lead to treatment for disorders such as congenital adrenal hyperplasia.