Similarly, the set of all solutions to Einstein's field equations is simpler than a specific solution.

The logic behind this is analogous to the logic that a polynomial-time solution to an NP-complete problem would prove P = NP: if we have a NC reduction from any problem in P to a problem A, and an NC solution for A, then NC = P. Similarly, if we have a log-space reduction from any problem in P to a problem A, and a log-space solution for A, then L = P.

Similarly, if g and h are elements of a finite cyclic group G then a solution x of the equation g < sup > x </ sup > = h is called a discrete logarithm to the base g of h in the group G.

Similarly, ' integrity ' and ' despair ' must both be understood and embraced, in order for actionable ' wisdom ' to emerge as a viable solution at the last stage.

Similarly, if each label is rectangular and must be placed in such a way that the point it labels is somewhere along its bottom edge, then using 2-SAT to find the optimal solution in which the label has the point on a bottom corner leads to an approximation ratio of at most two.

Similarly, Baker and Dingman of the Parker Rust-Proof Company filed an improved manganese phosphating ( Parkerizing ) process patent in 1928 that reduced the processing time to 1 / 3 of the original time that had been required through heating the solution to a temperature in the precisely-controlled range of.

Similarly, an equation or system of equations is said to have a closed-form solution if, and only if, at least one solution can be expressed as a closed-form expression ; and it is said to have an analytic solution if and only if at least one solution can be expressed as an analytic expression.

Similarly, in the case of a charged particle, the geometry of the Reissner-Nordström electrovacuum solution suggests that the symmetry between electric ( which " end " in charges ) and magnetic field lines ( which never end ) could be restored if the electric field lines do not actually end but only go through a wormhole to some distant location or even another branch of the universe.

Similarly, cubic equations with three real solutions have an algebraic solution that is unhelpful in that it contains cube roots of complex numbers ; again an alternative solution exists in terms of trigonometric functions of real terms.

Similarly, if the solution to anti-aging was so easy for us to attain, there would be no need for hundreds or thousands of products on the commercial market which provide similar claims yet produce products with differing ingredients.

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, Sajan offers different licences to their solution, separating their language and their technology services in different degrees.

Similarly, the Mathieu sine is the unique solution which

Similarly to the standard electrospray, the application of high voltage to a polymer solution can result in the formation of a cone-jet geometry.

Similarly, a cold basic solution of Naphthalen-2-ol ( Β-naphthol ) give the intensely orange-red precipitate.

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 finite natural things are less " real "— because they are less self-determining — than spiritual things like morally responsible people, ethical communities and God.

Similarly, the spread of money economy stimulated the replacement of labour services by money payments, but the growth of the money supply and resulting inflation after 1170 initially led nobles to take back leased estates and to re-impose labour dues as the value of fixed cash payments declined in real terms.

Similarly, LL Cool J released the albums Mr. Smith and Todd Smith in 1995 and 2006 respectively under his real name Todd Smith.

Similarly, the Vedantic text Yogavasistha, escapes charge of solipsism because the real " I " is thought to be nothing but the absolute whole looked at through a particular unique point of interest.

Similarly, British industrial band Godflesh often utilized a drum machine and two primary members, although they did at times record and tour with a second guitarist ( Paul Neville of Loop ), and near the end of the band's life they began working with real drummers ( Bryan Mantia and later Ted Parsons ) almost exclusively.

Similarly one can show that the difference between two pseudovectors is a pseudovector, that the sum or difference of two polar vectors is a polar vector, that multiplying a polar vector by any real number yields another polar vector, and that multiplying a pseudovector by any real number yields another pseudovector.

* Similarly in Hong Kong where real estate is at a premium, burials in government-run cemeteries are disinterred after six years under exhumation order.

Similarly, the real life murder victim Margaret Hogg, whose body was found in a lake in England's Wasdale Valley in 1984, became known as " the Wasdale Lady in the Lake ".

Similarly, the building and real estate directly related to the Pacific Stock Exchange in Los Angeles were slated for redevelopment into high rise condos and retail stores in early to mid 2000 but nothing ever materialized, other than a couple of temporary nightclubs operating on the old Equities trading floor.

Similarly, the phrase can be used to distinguish an actor from a character, e. g. " In real life, he has a British accent " or " In real life, he lives in Los Angeles.

Similarly, The number 1 is the " multiplicative identity " for integers, real numbers, and complex numbers.

Similarly, as the production function is an expression of the real process, we could also call it “ income generated by the production function ”.

Patients who have experienced frontal lobe trauma may know the appropriate response to a situation but display inappropriate to those same situations in “ real life .” Similarly, emotions that are felt may not be expressed in the face or voice.

Similarly to Marchlewszczyzna, limited Polish autonomy in the area was a real fact, with Polish-language schools, libraries and institutions.

Similarly a Roper poll from 2002 found 56 % thought UFOs to be real and 48 % thought they had visited Earth.

Similarly, for aggregate measures of output, such as gross domestic product ( GDP ), the nominal amount reflects production quantities and prices in that year, whereas real amounts in different years reflect only changes in quantities.

Similarly for a series of years, say five, given only nominal values of the good and prices in each year t, a real value can be derived for each of the five years:

Similarly, because he does not quite understand real distance compared to perspective, the surrounding terrain is actually relatively close, but blurred to appear farther away.

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

Similarly, the adjacent Wolfville United Baptist Church plays a significant role in the life of the university.

Similarly, anyone who wishes to understand the mind of the sacred writers must first cleanse his own life, and approach the saints by copying their deeds.

Similarly, Arthur C. Clarke's " Crusade " revolves around a planetwide life-form based on silicon and superfluid helium located in deep intergalactic space, processing its thoughts slowly by human standards, that sends probes to look for similar life in nearby galaxies.

Similarly if one is raking in the chips of life, it pays to adopt an expansive risk taking approach, and thus maximize access to scarce resources.

Similarly a multitude of sarcophagi are found with the rooster and the sacred cockfight with the understanding of striving for resurrection and eternal life in Christianity.

Similarly, he served as narrator for the 2007 film Dale, about the life of the legendary NASCAR driver Dale Earnhardt, which turned out to be Newman's final film performance in any form.

Similarly, while someone would not be permitted to eat chametz on Passover unless his life were in danger, the prohibition of kitniyot is not so strict.

Similarly, relatively low population growth coupled with low life expectancy and high incidence of disease has kept the labor supply in flux and prevented industries from flourishing.

Similarly, jointly held property ( in common law systems ), life insurance, annuities, US Tax Code section 401 ( k ) Retirement Plans or Individual Retirement Accounts ( also known as Registered Retirement Savings Plans in Canada ) will also avoid probate as these devices allow property to transfer to beneficiaries outside the probate process.

Similarly, the ornate and civilized minuet melody of Ach du min Moder ( Alas, thou my mother ) contrasts starkly with the text, which is about Fredman lying with a hangover in the gutter outside a pub, complaining bitterly about life.

" Similarly, the Rebbe Mordechai of Neshkiz explains, " Even if a story about him never actually occurred, and there was no such miracle, it was in the power of the Baal Shem Tov, may his memory be a blessing for the life of the World-to-Come, to perform everything.

Similarly, the critic Alex Farquharson commended the conceptual reach of Tyson ’ s Supercollider exhibition at the South London Gallery in 2002 claiming of the works assembled, ' Together they present the tragi-comedy of trying to make sense of life, whatever interpretative system is used, including the fluid and pluralistic medium of contemporary art.

Similarly, Thoreau states those who believe Brown threw his life away and died as a fool, are fools.

Similarly, Mandras is guilty of murder, torture and rape, yet the author portrays him sympathetically: " just another life tarnished ... by war.

Similarly, the largest estate an owner in fee tail could convey to someone else was a life estate, since the grantee's interest again terminated automatically when the grantor ( the original owner ) died.

Similarly to his friend Poirot, Hastings ' life and background before 1916 are pure estimation though the reader is able to pinpoint Hastings ' approximate birth year as 1886 as he mentions that John Cavendish was ' a good fifteen years senior ' though hardly looking ' his forty-five years ' in the first chapter of The Mysterious Affair at Styles.

Similarly, the original Truman Capote novella on which Breakfast at Tiffany's was based ended with Holly Golightly's going off to Brazil and disappearing from the protagonist's life — while in the film it was changed to her accepting the love he offered her and their famous kiss in the rain.

" Similarly, Warwick R. Bond writes " Shakespeare first opens the vein he worked so richly afterwards – the vein of crossed love, of flight and exile under the escort of the generous sentiments ; of disguised heroines, and sufferings endured and virtues exhibited under their disguise ; and of the Providence, kinder than life, that annuls the errors and forgives the sin.

Similarly, while Romanticism glorified nature, Realism portrayed life in the depths of an urban wasteland.