Symbols word equivalents

In other words the operation of multiplying j(x) by 6(x—a) and integrating over all x is merely equivalent to substituting a for x in the original function. Symbolically wc may write... 

The use of per in a word definition is equivalent to divide by in the mathematical form (refer to 2(a) directly above). Also, symbols are not handled as abbreviations they are not followed by a period unless at the end of a sentence. 

Now, consider the fractional variables such as /AicaCHco,) and /Aicao- Take /Aica(Hco3)3 first. By convention, the first subscript Al is the type of fraction of the species involved. In this instance, it would refer to the mass of alum, which could be Mai or MAikeq, if the masses are expressed as absolute mass or equivalent mass, respectively. The second subscript, Ca(HC03)2, is the reason for the existence of Al, which means that calcium bicarbonate is the one reacting with the alum in this fraction. Thus, in other words, /AicacecOjjj is the fraction of the alum that is reacted by calcium bicarbonate. By the same token, /Aicao is the fraction of alum that is reacted by lime. Other symbols of fractional variables can be interpreted similarly. 

Hermetic terminology uses words and expressions which do not have direct correspondence with their equivalents in the profane language. It is indispensable to define what one understands by essential words which are the names of the constitutive elements of Primary Matter, and of its evolution towards the ultimate state Gold, symbol of perfection at the heart of the metallic life. 

Structural members—all this systematic and purely quantitative effort was transformed into two words of our opinion a plastic collapse. We synthesized the mountain of data using our background knowledge, and finally the symbolic analogy simply emerged. This symbolic analogy became obviously the equivalent of all the documentation and of all this twisted steel and in very few words perfectly described the situation. 

In both the TIMIT and MRPA phoneme inventories, we have only used lower case letters. To some extent this is a purely aesthetic issue as we wish to avoid upper case (which has a somewhat aggressive quality) and mixed case (which can look ugly). There is an additional benefit in that upper case equivalents of the symbols can be used in cases where some emphasis is required, such as stress or other highlighting. In the above, we have chosen though to give simple mnemonic names to each phoneme, so that the first phoneme of tip is named t , the first of ship is named sh and so on. Mnemonic names are usually helpful as we often have to enter words in the lexicon ourselves or perform transcriptions, and this is easier if we can easily recall the symbols to use. These names can sometimes trip us up, especially with vowels, so a little care should be taken. 

When the contact angle is 90° and the liquid droplet forms a little hemisphere on the surface, then no work is done by the wetting, and the work of adhesion in liquid is the same as in vapor. But if the liquid wets the surface then adhesion must be reduced. This is equivalent to Young s original theory of 1805, which he did not express in symbols but only in words. All the results above were consistent with this equation. Thus the second law of adhesion is true for wetting liquids. 

In progressing from the RS term symbol to the spin-orbit modified terms, a barycenter of energy must be maintained. In other words, the total energy of the microstates before and after the perturbation must be equivalent. The energies of... 

Every symmetry operation in the group has an inverse operation that is also a member of the group. In this context, the word inverse should not be confused with inversion. The mathematical inverse of an operation is its reciprocal, such that A A = A A = , where the symbol A represents the inverse of operation A. The identity element will always be its own inverse. Likewise, the inverse of any reflection operation will always be the original reflection. The inversion operation (/) is also its own inverse. The inverse of a C proper rotation (counterclockwise) will always be the symmetry operation that is equivalent to a C rotation in the opposite direction (clockwise). No two operations in the group can have the same inverse. The list of inverses for the symmetry operations in the ammonia symmetry group are as follows ... 

In a jungle of obscure and exotic terminology, it was often difficult to read chemical texts. In 1860, during probably the first international Chemical congress, held in Karlsruhe, participants tried to put an end to these deep differences on words and symbols that harmed communication and discussion. It raised a fundamental theoretical issue for the agreement on figures and formulas to be subordinated as well as the definitions of basic concepts atoms, molecules and equivalents. Moreover it materialized the existence of an international chemical community and defined the rules for its functioning... 

The operator that always produces the same function as the one o whieh it operates is called the identity operator and is denoted by E. The symbol E comes from the German word Einheit, meaning unity. It is equivalent to multiplying by unity ... 

In your own words, define or explain the following terms or symbols (a) mmol (b) Hln (c) equivalence point of a titration (d) titration curve. 

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