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, 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 to the alpine version, the skier must pass around buoys on either side of the tow boat.

Similarly, in regard to passages from the Enneads, " The only space or place of the world is the soul " and " Time must not be assumed to exist outside the soul ", Ludwig Noiré wrote: " For the first time in Western philosophy we find idealism proper in Plotinus, However, Plotinus does not address whether we know external objects, unlike Schopenhauer and other modern philosophers.

Similarly, if funding is withdrawn part way through an experiment, and the analyst must work with incomplete data, this is a possible source of bias for classical methods but not for Bayesian methods, which do not depend on the intended design of the experiment.

Similarly, successively larger elements must have shells of successively higher energy.

Similarly, if multi-byte accesses must be 32-bit aligned, addresses 0, 4, 8, 12, and so on would be considered aligned and therefore accessible, and all addresses in between would be considered unaligned.

Similarly, if your length measurement on your micrometer " starts at one " instead of " starting at zero ", then you must remember to subtract that one from your total value to yield the true length of the object by itself.

Similarly, all NMOS transistors must have either an input from ground or from another NMOS transistor.

Similarly, as Frodo nears Mount Doom he casts aside weapons and refuses to fight others with physical force: " For him struggles for the right must hereafter be waged only on the moral plane.

Similarly, during the 1942 Cripps mission, and 1946 Cabinet Mission to India, the Afghan government made repeated attempts to ensure that any debate about the independence of India must include Afghanistan's role in the future of the NWFP.

Similarly, to validate that each element has an acceptable sequence of child elements, information about what child elements have been seen for each parent, must be kept until the parent closes.

Similarly, the saying, if it walks like a duck and quacks like a duck, it must be some kind of duck, may be regarded as involving a sort of measurement process or set of tests ( see duck test ).

Similarly the horse's owner or owners must be registered as owners.

Similarly, the fluid must reach a sufficiently low temperature when allowed to expand, or else heat cannot flow from the ambient cold region into the fluid in the cold heat exchanger ( the evaporator ).

Similarly, any act of war must be based on self-interest, rather than on idealism.

Similarly, a graph is 2-connected if we must remove at least two vertices from it, to create a disconnected graph.

Similarly, each diagonal element of a skew-symmetric matrix must be zero, since each is its own negative.

Similarly, after his resignation, he may not use the pallium ; should he be transferred to another archdiocese, he must again petition the Holy Father for a new pallium.

Similarly, anilox rollers that are used with water and oil based inks, which dry when left sitting out and unagitated, must be cleaned immediately after use or a problem known as plugging occurs, where minuscule amounts of ink dry in the cells.

Similarly, pianists must study piano performance.

Similarly, for an anomaly to violate market efficiency, an investor must be able to trade against it and earn abnormal profits ; this is not the case for many anomalies.

Similarly, Groningen is divided into four zones that cannot be crossed by private motor-traffic, ( private cars must use the ring road instead ).

Similarly, in MATLAB and GNU Octave, betainc ( Incomplete beta function ) computes the regularized incomplete beta function-which is, in fact, the Cumulative Beta distribution-and so, to get the actual incomplete beta function, one must multiply the result of betainc by the result returned by the corresponding beta function ..//

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 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, 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.