Similarly, gnomes are contrasted to elves, as in William Cullen Bryant's Little People of the Snow ( 1877 ), which has " let us have a tale of elves that ride by night, with jingling reins, or gnomes of the mine " ( cited after OED ).

Similarly, the phrase " Don't let your mouth write a cheque your ass can't cash.

Draw a line through O which is perpendicular to OP and let T now be the point where this line intersects the tangent to the curve at P. Similarly, let N now be the point where the normal to the curve intersects the line.

Another construction proceeds as follows: Let a line L and a point O not on L be given, and let K be the line through O parallel to L. Let P be a variable point on L. Let Q be the projection of P onto K, on other words Q is the intersection of K with the line through P perpendicular to K. Similarly let R be the projection of Q onto OP.

Similarly, let and be dropped from the point perpendicular to the straight lines and respectively.

Similarly, let A be a nonsingular linear mapping of vector space R < sup > n </ sup > to R < sup > n </ sup >.

Note that it suffices to prove the result for a small interval I = (− ε, ε ), since if ψ ( t ) is a smooth bump function with compact support in (− ε, ε ) equal identically to 1 near 0, then ψ ( t ) ⋅ F ( t, x ) gives a solution on R × U. Similarly using a smooth partition of unity on R < sup > n </ sup > subordinate to a covering by open balls with centres at δ ⋅ Z < sup > n </ sup >, it can be assumed that all the f < sub > m </ sub > have compact support in some fixed closed ball C. For each m, let

Similarly, in Batman: Dark Victory, after brokering a tentative alliance with Batman, the Riddler changes the signal, projecting a question mark into the sky in order to let Batman know that he has an answer for him.

" Similarly, though in a more positive review, Raymond Tuttle wrote that " even though the Concerto for Orchestra is not remarkable for its melodic content, there is so much color and brilliance in Higdon's writing ... that few listeners will notice, let alone care that the work is not very deep.

Similarly, a game that lets a player disconnect immediately with no consequences may let players exit a game without suffering a loss.

" Similarly, Danél Griffin of Film as Art remarked that " the six-season Highlander: The Series has a loyal following, but let ’ s be honest: Adrian Paul, the lead, is not an interesting actor, and there ’ s not one moment in the show — not one — that comes close to matching the wit or liveliness of the first film.

Similarly, let denote the electric potential resulting from a total charge density, satisfying.

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 in Illinois there is Lincoln country to be seen -- his tomb and other landmarks.

Similarly, if the equivalents for the forms of a word do not vary, the equivalents need be entered only once with an indication that they apply to each form.

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, an article ( written from an in-universe perspective ) in the Call of Cthulhu tabletop role-playing game speculates that it may be a corruption of Abd Al-Azrad, which it claims translates to The Worshipper of the Great Devourer.

Similarly, the subset order ⊆ on the subsets of any given set is antisymmetric: given two sets A and B, if every element in A also is in B and every element in B is also in A, then A and B must contain all the same elements and therefore be equal:

Similarly their sum of bad deeds will be mirrored in their next life.

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

Similarly the freehold of a benefice, on the death of the incumbent, is said to be in abeyance until the next incumbent takes possession.

Similarly, frets on earlier balalaikas were made of animal gut and tied to the neck so that they could be moved around by the player at will ( as is the case with the modern saz, which allows for the microtonal playing distinctive to Turkish and Central Asian music ).

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, an early draft did not include the commitment that nothing should be done which might prejudice the rights of the non-Jewish communities.

Similarly, it must be handled under inert atmosphere such as argon.

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

Similarly, any freedmen found to be impersonating equestrians were sold back into slavery.

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

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

Similarly, Human Rights Watch pointed out that " the Contras systematically engage in violent abuses ... so prevalent that these may be said to be their principal means of waging war " in a 1989 report.

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, rules differ across space: what is acceptable in one society may not be so in another.

Similarly, during the English Civil War rope-tension drums would be carried by junior officers as a means to relay commands from senior officers over the noise of battle.

Similarly, under a wide range of practical conditions, the weak temperature dependence of the pre-exponential factor is negligible compared to the temperature dependence of the factor ; except in the case of " barrierless " diffusion-limited reactions, in which case the pre-exponential factor is dominant and is directly observable.

Similarly, in Thermal quantum field theory a compactification of the euclidean time dimension leads to the Matsubara frequencies and thus to a discretized thermal energy spectrum.

Similarly, an arbitrary quantum operation can be implemented via introducing an ancilla and performing a suitable unitary evolution.

Similarly to a classical bit where the state of a transistor in a processor, the magnetization of a surface in a hard disk and the presence of current in a cable can all be used to represent bits in the same computer, an eventual quantum computer is likely to use various combinations of qubits in its design.

Similarly, Paul Dirac, one of the founders of quantum mechanics, began his academic career as an electrical engineer before proceeding to mathematics and later theoretical physics.

Similarly, in the de Broglie – Bohm theory, there are anomalous initial conditions which would produce measurement statistics in violation of the Born rule ( i. e., in conflict with the predictions of standard quantum theory ).

Similarly, a quantum particle moving in a potential can be described by a superposition of paths, each with a phase: the thermal variations in the shape across the collection have turned into quantum uncertainty in the path of the quantum particle.

Similarly, quantum fluctuations of the order parameter prevent most types of continuous symmetry breaking in one-dimensional systems even at zero-temperature ( an important exception is ferromagnets, whose order parameter, magnetization, is an exactly conserved quantitity and does not have any quantum fluctuations ).

Similarly, the quantum group U < sub > q </ sub >( G ) can be regarded as an algebra over the field Q ( q ), the field of all rational functions of an indeterminate q over Q ( see below in the section on quantum groups at q

A highest weight module is a module generated by a weight vector v, subject to for all weights μ, and for all i. Similarly, a quantum group can have a lowest weight representation and lowest weight module, i. e. a module generated by a weight vector v, subject to for all weights λ, and for all i.

Similarly, a quantum algorithm is a step-by-step procedure, where each of the steps can be performed on a quantum computer.

Similarly, a periodic structure of alternating thin films of different materials may collectively form a so-called superlattice which exploits the phenomenon of quantum confinement by restricting electronic phenomena to two-dimensions.

Similarly, the argument for BPP almost goes through for BQP, but we have to additionally show that quantum queries can be performed in coherent superposition.

Similarly, quantum measurement tomography works to find out what measurement is being performed.