Similarly, given any element y of Y, there is a function f < sub > y </ sub >, or f (·, y ), from X to Z, given by f < sub > y </ sub >( x ) := f ( x, y ).

Similarly, as an infinite-dimensional example, the Lebesgue space L < sup > p </ sup > is always a Banach space but is only a Hilbert space when p = 2.

Similarly, relatively little energy is used in producing and combining the raw materials ( although large amounts of CO < sub > 2 </ sub > are produced by the chemical reactions in cement manufacture ).

Similarly, the pentafluoride, DbF < sub > 5 </ sub >, should be even more volatile.

Similarly, the variation in the concentration of gas B is-dC < sub > B </ sub >/ dx.

Similarly, the partial pressure of B changes dP < sub > B </ sub >.

Similarly, for any a in F other than 0, there exists an element a < sup >− 1 </ sup > in F, such that a · a < sup >− 1 </ sup > = 1.

Similarly, methyl iodide and methyl triflate are viewed as the equivalent of the methyl cation because they readily undergo S < sub > N </ sub > 2 reactions by weak nucleophiles.

Similarly, for a given vacuum wavelength λ < sub > 0 </ sub >, the wavelength

Similarly, p < sup >-</ sup > would indicate a very lightly doped p-type material.

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

Similarly the number for " P " in some countries is actually the weight of an equivalent quantity of P < sub > 2 </ sub > O < sub > 5 </ sub > whereas in others ( including Australia ) it refers to elemental phosphorus.

Similarly, given points ( x < sub > 1 </ sub >, y < sub > 1 </ sub >, z < sub > 1 </ sub >) and ( x < sub > 2 </ sub >, y < sub > 2 </ sub >, z < sub > 2 </ sub >) in three-space, the distance between them is:

Similarly, products of the gammas such as γ < sub > μ </ sub > γ < sub > ν </ sub > represent oriented surface elements, and so on.

Similarly they produce 1 for < tt > pow ( x, 0 )</ tt > even when x is 0 or infinity.

Similarly "< tt > atthattMZe </ tt >" could be guessed as "< tt > atthattime </ tt >", yielding < tt > M </ tt >~< tt > i </ tt > and < tt > Z </ tt >~< tt > m </ tt >.

For example, the representation < tt > 022. 101. 031. 153 </ tt >, when parsed as octal, would be equivalent to the decimal notation < tt > 18. 101. 25. 153 </ tt >.< ref group = note > Similarly, standard IP addresses can be written with a leading 0x to mean a hexadecimal address: pinging < tt > 133. 45. 0xEE. 0x10 </ tt > pings the decimal address < tt > 133. 45. 238. 16 </ tt >.</ ref >

Similarly, a fold F < sub > 2 </ sub >( s ) perpendicular to m < sub > 2 </ sub > through its midpoint will place p < sub > 1 </ sub > on the line at location d < sub > 2 </ sub >.

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

Similarly, a right R-module M is flat if and only if Tor < sub > n </ sub >< sup > R </ sup >( M, X ) = 0 for all and all left R-modules X.

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 for continuous random variables, the marginal probability density function can be written as p < sub > X </ sub >( x ).

Similarly, K < sub > 1 </ sub >( R ) is a modification of the group of units in a ring, using elementary matrix theory.

Similarly for continuous random variables, the joint probability density function can be written as f < sub > X, Y </ sub >( x, y ) and this is

Similarly MU < sub >*</ sub >( BU ) is isomorphic to the polynomial ring MU < sub >*</ sub >( point ) β < sub > 2 </ sub >, ...

Similarly the split categories over E form a 2-category Scin ( E ) ( from French catégorie scindée ), where the category of morphisms between two split categories F and G is the full sub-category Scin < sub > E </ sub >( F, G ) of E-functors from F to G consisting of those functors that transform each transport morphism of F into a transport morphism of G. Each such morphism of split E-categories is also a morphism of E-fibred categories, i. e., Scin < sub > E </ sub >( F, G ) ⊂ Cart < sub > E </ sub >( F, G ).

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, he wrote that Laurence Housman had a `` too deliberate manner '' as well as a lack of `` inevitable felicity in diction ''.

Similarly the sufferings of Hamlet, Othello, or Phedre engage the fortunes of the state.

Similarly the optimism of age protests too much.

Similarly, on the regional channels many class 3, stations have been assigned either to operate daytime only or to operate nighttime with directional antennas and/or lower power.

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

Similarly, when a reporter once questioned Lincoln in cryptic fashion, Lincoln refused to make any further statement.

Similarly, both types of antibodies were found in three regions of the chromatographic eluate, having extremely low, low, and high anionic binding capacity, respectively ( Fig. 3 ).

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, at the opposite end of the market cycle, towards the end of an intermediate or major decline, usually while the bottom is being formed on the price chart, it is characteristic that an increase is noticed in odd-lot selling again alerting the chartist that a bottom is becoming a greater likelihood.

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, further desegregation may come from suits pending in three Tennessee cities, Chattanooga, Knoxville, and Memphis.

Similarly, the innovations of bop, and of Parker particularly, have been vastly overrated by people unfamiliar with music, especially by that ignoramus, the intellectual jitterbug, the jazz aficionado.

Similarly, the American Cancer Society ( ACS ), the Arthritis and Rheumatism Foundation, and the BBB have each stated lately that medical quackery is at a new high.

Similarly, a girl who graduates with a good working knowledge of stenography and the use of clerical machines and who is able to get a job at once may wish to improve her skill and knowledge by a year or two of further study in a community college or secretarial school.

Similarly, in presenting still photographs of early jazz groups, the program allowed no time for a close perusal.

Similarly, holding large feasts and giving large donations has been seen as ways of demonstrating one's resources.

Similarly, the Italian verb corresponding to ' spell ( out )', compitare, is unknown to many Italians because the act of spelling itself is rarely needed: Italian spelling is highly phonemic.

Similarly, Helen Keller stated that " Life is either a daring adventure or nothing.

Similarly IF A > B THEN A ← A − B.

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, 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, 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, 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.