Length Numbering

The length numbering N is defined by the ratio of length L and mass (weight) m  

System of characterization Symbol Length Mass (weight) Application Fineness in tex 

The titer-denier (Td) system is used to measure the fineness of reeled silk, synthetic fibers, and yarns. According to DIN 60910, this system is now allowed only for conversion purposes. The equation for the Td system is 

In the 1960s, the fineness units were newly defined in the SI measurement system (System International d Unites) to make the various measuring systems compatible. Here, the basis unit of mass is the kilogram (kg) and the unit of length is the meter (m). The resulting unit of mass per length is kilogram per meter (kg/m). 

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Other selections of shell length, number of passes and required diameters can then be made to obtain an optimum solution. 

One after the other, examine the structures of a number of common polymers. For each, draw the repeating unit, and indicate the chain length (number of repeating units in the strand). Note Each end of a polymer strand has been capped by adding extra atoms. Do not count these atoms as repeating units. Also, use the smallest possible repeating unit. 

Size, Thickness, Length, Number per Weight per Surface Area, Free Gas Spher. Diani. 

The goal, as before, is to find the state graph (= Gl) description of the system, where Gl is a directed graph with q vertices and is defined by G jj = 1 S(j) = L Familiar quantities of interest include cycle lengths, number of... 

K State Cycle Length Number of State Cycle Attractors Stability with respect to minimal perturbations... 

Instantaneous number average styrene sequence length Number average styrene sequence length... 

While cobaloximes are the most active CCT catalysts known, they are sensitive to air and moisture, so the more robust porphyrins were considered a better choice for a recoverable catalyst. To better understand how to design an optimal thermomorphic catalyst we initiated an investigation to learn how polyethylene length, number, and the covalent linker influence the catalyst activity and the final color of the methaciylate resin. A series of polyethylene-supported CCT catalysts were thus prepared for study (Scheme 36.2). 

Observation of effects. Seven to 14 days after exposure to test compounds, length, number of leaves and presence of stomata in sprouted winterbuds were determined. FOr sago pondweed tubers, length, number of new daughter plants and presence of roots were determined. Hydrilla explants were evaluated for number of and length of new shoots. In some experiments the chlorophyll-a content of the apical 2 cm on apical explants was determined by 3 successive extractions in 90% acetone using a power-driven Teflon pestle. Absorbance of Millipore-filtered (.45p ) acetone extracts was determined at 6 30, 6 45, 6 6 5 nm on a spectrophotometer. Chlorophyll-a was calculated by equations of Strickland and Parsons (8). 

Ring No. (0 Radius of each ring (r,T m Length of each ring m 2Xr, m %of total length Number of holes on each ring (N,)... 

Figure 11.8 THM GC trace of bleached beeswax. FAME, fatty acid methyl ester obtained with a resistively heated filament pyrolyser at 550°C MeO FAME, methyl ester of methoxy fatty acid ME, alkyl methyl ether DiME, dimethoxyalkane EtC, hydrocarbon X Y, carbon chain length number of double bonds. Reprinted from J. Anal. Appl. Pyrol., 52, Asperger et al., 1, 13, Copyright 1999 with permission from Elsevier...

If you ever have to interconvert between these two nomenclatures, it may be easier for you to write down a representation of the structure rather than to try to figure out the relationships between the length, number of double bonds, and how you add and subtract what to get whatever. 

Arithmetic Length Number 2 nd/2 n Length-number mean, dln... 

Length-number mean Surface-number mean Volume-number mean Volume-surface mean Weight-moment mean... 

Before carrying out particle sizing on a sample, the microscope s ocular scale must be calibrated. This is normally done with a stage micrometer, which has a linear graduated scale. The micrometer is aligned with the eyepiece ocular to determine the length per ocular scale division. The ocular can then be used to read the diameters of particles on a slide. When sufficient particles are sized, the length-number mean can be calculated ... 

Two different instrumental measurements were used to test the oxidation hypothesis GC and atomic absorption (AA). GC was used to determine the chain length distribution of the EO. From the GC results, an average chain length number was calculated. The gas chromatogram is shown in Fig. 21.1. In addition, headspace GC measurement of the gaseous compounds dissolved in the liquid ethoxylate was made and compared to typical or good product. Atomic absorption spectroscopy was used to determine the levels of several trace metals known to catalyze oxidation of fatty chemicals. 

Vegetable oils or triglycerides obtained from the seeds of various plants are the source of a wide variety of fatty acid esters and derivatives (fatty acids and alcohols) with different molecular structure (chain length, number and position of... 

Coupled columns packed with different stationary phases can be used to optimize the analysis time (71, 75). In this approach the different columns are connected in a series or in parallel. liie sample mixture is first fractioned on a relatively short column. Subsequently the fractions of the partially separated mixture are separated on other columns containing the same or other stationary phases in order to obtain the individual components. Columns differing in length (number of theoretical plates), adsorptive strength or phase ratio (magnitude of specific surface area), and selectivity (nature of the stationary phase) can be employed, whereas, the eluent composition remains unchanged. Identification of the individual sample components via coupled column technique requires a careful optimization of each column and precise control of each switching step. 

Measure crown-rump length, number of somite numbers, assess caudal extension, somites (morphology and count), posterior neural tube (primitive spinal cord), anterior neural tube (primitive brain), heart, pharyngeal arches, and facial structures. 

Nagai (5) also derived analytic expressions for the averages of such quantities as the number of helical sequences, the distribution of lengths (number of residues) of helical and randomly coiled sequences, and so forth. A set of these averages quantitatively defines the conformation of an interrupted helical polypeptide. It is important to recognize that these are all expressed in terms of the three fundamental parameters, N, s, and a. 

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