Two numbers

The two numbers each have their own utility which explains why both are taken into account when setting specifications. Nevertheless, in the context of refining today, it is the minimum MON that is the most difficult constraint for the refiner. For example, to obtain an 85 MON for Eurosuper it often happens that the RON is greater than 95 in actual practice it is 96 or even 97. Likewise, Superplus can represent, for an 88 MON, an RON of 99 or 100. 

One option is to first generate two random numbers and 2 between 0 and 1. T1 corresponding two numbers from the normal distribution are then calculated using... 

Most of the problems in this book are simple. Many of the methods used have been known for decades or for centuries. At the machine level, individual steps in the procedures are at the grade school level of sophistication, like adding two numbers or comparing two numbers to see which is larger. What makes them hard is that there are very many steps, perhaps many millions. The computer, even the once lowly microcomputer, provides an entry into a new scientific world because of its incredible speed. We are now in the enviable position of being able to arrive at practical solutions to problems that we could once only imagine. 

Multiplieation of two matriees, however, is quite different from multiplieation of two numbers. The first row of the premultiplying mahix is multiplied element by element into the first eolumn of the postmultiplying matrix, and the resulting sum is the first element in the produet matrix. This proeess is repeated with the first row of the premultiplying matrix and the seeond eolumn of the postmultiplying matrix to obtain the seeond element in the produet matrix and so on, until all of the elements of the produet matrix have been filled in. If... 

Addition of two numbers in binary code. Note the carryover in the left-most column caused by adding two ones. 

Where two numbers appear, the first refers to the annealed or solution heat-treated condition, the second to the condition when maximum strength is achieved by cold-working or aging. Otherwise the number refers to the alloy heat-treated for optimum strength. 

ASTM and the Plastics Pipe Institute, a division of the Society of the Plastics Industry, have established identifications for plastic pipe in which the first group of letters identifies the plastic, the two following numbers identify the grade of that plastic, and the last two numbers represent the design stress in the nearest lower (0.7-MPa (lOO-lbfiin ) unit at 23°C (73.4°F). 

In the U.S., the result will be in inches for the metric system the results will be in meters. The relationship to convert between the two numbering system results is... 

Step 4 Defining the Operators - Each components operation is analyzed and assigned a GO operator that most closely represents the operation of the physical component. It is identified by the Type number which is the first of two numbers within each GO symbol. 

The nomenclature convention suggested by Pedersen for the simple compounds involves two numbers. The first of these indicates the total number of atoms in the macrocycle. The second number indicates how many heteroatoms are present in the ring. Compound 3 shown above, for example, contains fifteen atoms in the ring, five of which are oxygen. The commonly accepted name for this compound is 15-crown-5 . The three compounds shown below can all be named by this simple rule. 

Finally, the HRA analyst would calculate the expected frequency of condenser ruptures as a result of improper isolation. The frequency of condenser tube failures is 0.33 per year (1 every 3 years), and the calculated probability of improper isolation is 0.05. Multiplying these two numbers shows the expected frequency of improper isolation of a failed condenser is 0.017 per year, or about once every 60 years. The manager can use this number to help compare the costs and benefits of improvements proposed as a result of the HRA or other studies. 

PERT diagrams are most useful if they show the time scheduled for completing an activity on the activity line. Time is recorded in a unit appropriate for the project, with days being most common, and hours, weeks, or even months occasionally used. Some diagrams show two numbers for time estimates - a high estimate and a low estimate. 

Count the number of significant figures in the numerator and in the denominator the smaller of these two numbers is the number of significant figures in the quotient... 

MEH-PPV and P3MBET, were used. As a measure of the efficiency of the photo-induced charge transfer, the degree of luminescence quenching and the ratio of the charged photoexcitation bands to the neutral photoexcitation bands were taken. These two numbers are plotted in Figure 15-15 versus the electrochemical reduction potential. A maximum in the photoinduced electron transfer was determined for Cbo. 

The outstanding characteristic of the actinide elements is that their nuclei decay at a measurable rate into simpler fragments. Let us examine the general problem of nuclear stability. In Chapter 6 we mentioned that nuclei are made up of protons and neutrons, and that each type of nucleus can be described by two numbers its atomic number (the number of protons), and its mass number (the sum of the number of neutrons and protons). A certain type of nucleus is represented by the chemical symbol of the element, with the atomic number written at its lower left and the mass number written at its upper left. Thus the symbol... 

If we could find a pair of axes that lay in this plane, we could use these axes as the basis of a new coordinate system. We could then simply specify each spectrum in terms of its distance along each of the two axes of our new coordinate system. Notice that this doesn t change the data at all. The data points do not move when we change coordinate systems. This is no different than deciding to define a point in space in terms of its polar coordinates rather than its rectangular coordinates. We would no longer need to provide 100 individual numbers to identify each spectrum by its 100-dimensional spectrum. We could, instead specify each spectrum of this 2 component system by just two numbers, the distances along each new coordinate axis. By extension, the spectra of a 3 component system would require three numbers, a 4 component system 4 numbers, etc. 

To change an improper fraction to a mixed number, divide die denominator into the numerator. The quotient (die result of die division of diese two numbers) is die whole number. Then place die remainder over the denominator of die improper fraction. 

When dividing two numbers in scientific notation, divide the decimal parts of the numbers and subtract the powers of 10 ... 

Fig. 12-5 The ammonia-ammonium cycle. Each arrow represents one flux. The magnitude of the flux is given in Tg N/yr Where two numbers are given, the top value is the anthropogenic contribution and the lower is the total flux (natural + anthropogenic).

The order of a sigmatropic rearrangement is expressed by two numbers set in brackets [ij]. These numbers can be determined by counting the atoms over which each end of the s bond has moved. Each of the original termini is given the number 1. Thus in the first example above, each terminus of the s bond has migrated from C-1 to C-3, so the order is [3,3]. In the second example, the carbon terminus has moved from C-1 to C-5, but the hydrogen terminus has not moved at all, so the order is [1,5]. 

Two numbers of s significant digits each, when multiplied, require 2 s digits for the result. 

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