Similarly, all the statements listed below which require choice or some weaker version thereof for their proof are unprovable in ZF, but since each is provable in ZF plus the axiom of choice, there are models of ZF in which each statement is true.

Similarly in St Peter: " Christ .. Who verily was foreordained before the foundation of the world, but was manifest in these last times for you " ( 1 Peter 1: 20 ), and " But the end of all things is at hand " ( 1 Peter 4: 7 ).

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, all output was scrutinized for a Control-D character ( ASCII 4 ), which BASIC programs would send before seemingly PRINTing a disk command to get DOS's attention ( the disk commands would not really get PRINTed but were intercepted by DOS and prevented from making it to the screen output ).

Similarly, and mean that the sum or product is over all prime powers with strictly positive exponent ( so 1 is not counted ):

Similarly, BBC interactive television services all offered a horizontal i-bar along the bottom of television screens, with four colour-coded interactions linked to the four colour buttons on TV remote controls.

Similarly, the set of rational numbers in the closed interval is not compact: the sets of rational numbers in the intervals and cover all the rationals in for but this cover does not have a finite subcover.

Similarly open universities use a blend of technologies and a blend of learning modalities ( face-to-face, distance and hybrid ) all under the rubric of " distance learning.

Similarly, letters of credence may contain the name of the head of state, not the governor-general, even if it is the latter who signs and receives them ; in 2005, Canada, Australia and New Zealand changed their policies and now all letters of credence solely address the governor-general of the relevant nation, not to the sovereign.

Similarly, the 2006-07 celebrations in Edinburgh, Glasgow and Stirling were all cancelled on the day, again due to high winds and heavy rain.

Similarly to Leibniz solution, in a real life, we can say the person ( or any macroscopic object ) is the same, because all signs refer to the person ( or object ) in the past, which evolved in time.

Similarly, almost all of the games utilizing the Id tech 2 engine have Linux ports, the only exceptions being those created by Ion Storm.

Similarly, Samuel Pepys in his diary entry for 15 August 1665 records a dream " that I had my Lady Castlemayne in my arms and was admitted to use all the dalliance I desired with her, and then dreamt that this could not be awake, but that it was only a dream ".

Similarly, virtually all members of LAMP have also resigned from the Louisiana Psychological Association ( LPA ) after many LPA members asserted that the LAMP's prescriptive authority movement secretly came to an agreement with Louisiana's medical board to transfer the practice of psychology for psychologists with prescriptive authority to the medical board.

Similarly, the European Union has placed embargoes on Burma, including an arms embargo, cessation of trade preferences, and suspension of all aid with the exception of humanitarian aid.

" Similarly, all level II bubble universes with different physical constants can in effect be found as " worlds " created by " splits " at the moment of spontaneous symmetry breaking in a level III multiverse.

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

Similarly GABA acts on several different types of receptors, but all of them have effects ( in adult animals, at least ) that are inhibitory.

Similarly, the principal oboe is considered the leader of the woodwind section, and is the player to whom all others tune.

Similarly, the " Who Controls Our Children " campaign in Pennsylvania claimed that an OBE reform effort was part of a federal program that was " stressing values over academic content, and holding students accountable for goals that are so vague and fuzzy they can't be assessed at all.

Similarly, agnostic atheists reject belief in the existence of all deities, while asserting that whether any such entities exist or not is inherently unknowable.

Similarly, cooked and mashed potatoes or potato flour can be used in the Knödel or dumpling eaten with or added to meat dishes all over central and Eastern Europe, but especially in Bavaria and Luxembourg.

Similarly, IBM wanted a single programming language for all users.

Similarly introduced on the last day of the Congressional session four years later, the Act of March 3, 1855 required the prepayment of postage on all mailings.

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, the difference between the cytochrome C of a bacterium and yeast, wheat, moth, tuna, pigeon, and horse ranges from 64 % to 69 %.

If a laser is swept across a distant object, the spot of laser light can easily be made to move across the object at a speed greater than c. Similarly, a shadow projected onto a distant object can be made to move across the object faster than c. In neither case does the light travel from the source to the object faster than c, nor does any information travel faster than light.

Similarly, a carol attributed to Richard Smert ( c. 1400 – c.

The geometric mean of two numbers, a and b, is the length of one side of a square whose area is equal to the area of a rectangle with sides of lengths a and b. Similarly, the geometric mean of three numbers, a, b, and c, is the length of one side of a cube whose volume is the same as that of a cuboid with sides whose lengths are equal to the three given numbers.

Similarly, Lancelot and his cuckolding of Arthur with Guinevere became one of the classic motifs of the Arthurian legend, although the Lancelot of the prose Lancelot ( c. 1225 ) and later texts was a combination of Chrétien's character and that of Ulrich von Zatzikhoven's Lanzelet.

Despite the nomenclature, the " field " under study is the gravitational potential, φ, rather than the gravitational field, g. Similarly, when classical field theory is used to study electromagnetism, the " field " of interest is the electromagnetic four-potential ( V / c, A ), rather than the electric and magnetic fields E and B.

Similarly, the IBM 1401 system ( c. 1958 ) used a card reader to load a program from a punched card.

To see this, the three corresponding normal vectors of the corner's perpendicular sides can be considered to form a basis ( a rectangular coordinate system ) ( x, y, z ) in which to represent the direction of an arbitrary incoming ray, b, c. When the ray reflects from the first side, say x, the ray's x component, a, is reversed to-a while the y and z components are unchanged, resulting in a direction of b, c. Similarly, when reflected from side y and finally from side z, the b and c components are reversed.

* Similarly, in a three-dimensional space, the dot product of vectors b, c and e, f is ad + be + cf.

Similarly the radii of the excircles at sides b and c are respectively

Similarly, the 29 minuscule forms ( lowercase or small letters ) are: a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z, å, ä, and ö.

Similarly, if we set c equal to e in ƒ < sub > 5 </ sub >, then we get that ln ( x ), the natural logarithm, is a transcendental function.

Similarly, Vittorio Carpaccio ( 1460 – 1525 ) and Jacopo de ' Barbari ( c. 1440 – before 1516 ) added small trompe-l ' œil features to their paintings, playfully exploring the boundary between image and reality.

Similarly, there is also a difference between the usage of " k " in Curaçao and Bonaire and " c " in Aruba.

Similarly there were, later, the West India merchant Thomas Lucas ( c. 1720 – 1784 ) and his business partner William Coleman.

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, one can define the Helly number h and the Carathéodory number c by analogy to their definitions for convex sets in Euclidean spaces, and it can be shown that these numbers satisfy the inequalities h < r ≤ ch + 1.

Similarly, in the classical Three-age system, distinctions are recognized between the Stone Age era Bronze Age, Iron Age, the boundary between the latter two c. 1300-1200 BC being as dramatic as that demarcating Toffler's waves.

Similarly, the Persian Achamenedae are also believed to be an offshoot from the Scythianised Kuru-Kamboja hordes, who outpoured from Kambysene of ancient Armenia .< ref > Dr Michael Witzel wrote somewhere: ' The Old Persian-s -( as in < asa ' horse ') <* śś < śv < c ' v < Indo-European k ' w, shares the development of Indo-Iranian c ' v > śś with Saka-śś -, while the rest of Iranian has-sp-( aspa ) and Vedic has-śv-( Aśva ).