When solving an equation that involves division as well as other steps, do all the division steps first to reduce those parts of the equation to their numerical value.

The numerical value of K < sub > a </ sub > is equal to the concentration of the products divided by the concentration of the reactants, where the reactant is the acid ( HA ) and the products are the conjugate base and H < sup >+</ sup >.

In mathematics, the absolute value ( or modulus ) of a real number is the numerical value of without regard to its sign.

Other names for absolute value include " the numerical value " and " the magnitude ".

* Wendelin discovers a compound of the initial letters, amounting to 365 in numerical value, of four Hebrew and three Greek words, all written with Greek characters: ab, ben, rouach, hakadōs ; sōtēria apo xylou (“ Father, Son, Spirit, holy ; salvation from the cross ”).

Yet we may with better reason suppose that it came originally from a foreign mythology, and that the accident of its numerical value in Greek merely caused it to be singled out at Alexandria for religious use.

The way in which the numerical instruction value is interpreted is defined by the CPU's instruction set architecture ( ISA ).

A coefficient is a numerical value which multiplies a variable ( the operator is omitted ).

Each group is assigned a numerical value between 1 and 5 ; IEF is the arithmetical mean of the values, rounded to the hundredth.

Gematria or gimatria ( ) is a system of assigning numerical value to a word or phrase, in the belief that words or phrases with identical numerical values bear some relation to each other, or bear some relation to the number itself as it may apply to a person's age, the calendar year, or the like.

In practice the codes can be stored in order of numerical value ; this allows each search to be done by a SAR ( Successive Approximation Register, as used in some ADCs ), with only 12 magnitude comparisons.

In Hebrew, these names may be abbreviated using the numerical value of the Hebrew letters, for example ( Day 1, or Yom Rishon ()):

* the interpretation of the letters in a word according to their numerical value

:" The redemption of Israel will come about through the mystic force of the letter “ Vav ” has the numerical value of six, namely, in the sixth millennium ….

The katal is invariant of the measurement procedure, but the numerical quantity value is not and depends on the experimental conditions.

In 1856 Wilhelm Eduard Weber and Rudolf Kohlrausch performed an experiment to measure the numerical value of the ratio of the electromagnetic unit of charge to the electrostatic unit of charge.

In statistics and probability theory, median is described as the numerical value separating the higher half of a sample, a population, or a probability distribution, from the lower half.

This has a numerical value which is the average molecular mass of the molecules in the substance multiplied by Avogadro's constant approximately 6. 022 × 10 < sup > 23 </ sup >.

The most common units of molar mass are g / mol because in those units the numerical value equals the average molecular mass in units of u.

There are many numerology systems which assign numerical value to the letters of an alphabet.

The practice within Jewish tradition of assigning mystical meaning to words based on their numerical values, and on connections between words of equal value, is known as gematria.

Modern calculations in quantum chemistry usually start from ( but ultimately go far beyond ) a molecular orbital rather than a valence bond approach, not because of any intrinsic superiority in the former but rather because the MO approach is more readily adapted to numerical computations.

The actual numerical difference can be very small when considering small molecules and the molecular mass of the most common isotopomer in which case the error only matters to physicists and a small subset of highly specialized chemists ; however it is always more correct, accurate and consistent to use molar mass in any bulk stoichiometric calculations.

Because molecular systems consist of a vast number of particles, it is impossible to find the properties of such complex systems analytically ; MD simulation circumvents this problem by using numerical methods.

However, in most modern computer programs for molecular Hartree – Fock calculations this procedure is not followed due to the high numerical cost of orthogonalization and the advent of more efficient, often sparse, algorithms for solving the generalized eigenvalue problem, of which the Roothaan – Hall equations are an example.

The models rely heavily on continuum mechanics concepts and the numerical methods employed have some similarities to those employed in molecular dynamics, or in dynamics of multi body systems.

In some computational physics computer simulations, such as numerical weather prediction, molecular dynamics, flight simulators, reservoir simulation, noise barrier design, architectural acoustics, and electronic circuit simulation, an integrator is a numerical method for integrating trajectories from forces ( and thereby accelerations ) that are only calculated at discrete time steps.

It closely resembles the PDB format but was designed for storing output from molecular dynamics simulations, so it allows for additional numerical precision and optionally retains information about particle velocity as well as position at a given point in the simulation trajectory.

Not only that, but the more recent volumes and revisions also include ( l ) new fossil and phylogenetic discoveries, ( m ) advances in numerical and cladistic methods, ( n ) analyis of the group's genome, ( o ) its molecular phylogeny, and so on.

Qualitative descriptions like taste, rather than numerical data such as molecular weight, were programmed into the application.

* Body mass index, a numerical computation regarding height and weight

But the discrete formulation () of the equation of state with a finite number of mass point is just the suitable one for a numerical propagation of the string motion.

The terms heavy-weight and light-weight are often used to describe buildings with different thermal mass strategies, and affects the choice of numerical factors used in subsequent calculations to describe their thermal response to heating and cooling.

A numerical measure of a critical mass is dependent on the effective neutron multiplication factor, the average number of neutrons released per fission event that go on to cause another fission event rather than being absorbed or leaving the material.

The acceleration () caused by the thruster force is just an additional acceleration to be added to the other accelerations ( force per unit mass ) affecting the spacecraft and the orbit can easily be propagated with a numerical algorithm including also this thruster force .< ref > The thrust force per unit mass being where and are given functions of time But for many purposes, typically for studies or for maneuver optimization, they are approximated by impulsive maneuvers as illustrated in figure 1 with a as given by ().

To get the right figures for a particular mass, and a particular stage of evolution, it is necessary to use a numerical stellar model computed with computer algorithms.

The numerical values used in this equation were the average density of human hair ( 1. 3 grams per cubic centimeter ), a bending modulus ( A ) of 8 x 10 < sup >- 9 </ sup > Newton meter < sup > 2 </ sup >, a linear mass density of hair ( λ ) of 65 microgrammes per centimeter and the major diameter of the hair ( human hair is elliptical in cross section ) of 79 +/- 16 micrometers.

Note that the cross section is simply proportional ( by a numerical factor ) to the square of the classical radius of a point particle of mass m and charge q:

It is the numerical value of the Avogadro constant which has the unit 1 / mol, and relates the molar mass of an amount of substance to its mass.

In addition to violating physical laws such as the conservation of mass, this particle emits pulses of radioactivity, spelling out the numerical prime number sequence of 2-3-5-7-11-13-17-19-23-29-31-37.

* HP-71B — Handheld model natively programmable in an extended BASIC language including a RAM-based filesystem, recursion, multiline user-defined functions and subprogram calling with parameter passing, but also capable of accepting plug-in ROM modules to provide such functionalities as full I / O capabilities to any type of device ( printers, mass storage, measurement instruments ), programmability in other languages ( Forth, Assembler ), advanced math capabilities ( such as matrix operations, support for complex numbers, multidimensional numerical integration and root finding, Fast Fourier Transforms, etc.

Models based on the Voyager and Galileo measurements of the moon's mass, radius and quadrupole gravitational coefficients ( numerical values related to how mass is distributed within an object ) suggest that its interior is differentiated between an outer, silicate-rich crust and mantle and an inner, iron-or iron sulfide-rich core.

The loss at Newbury was due to a multitude of factors ; Day gives credit to the greater ability of Essex to conserve his force through the campaign, which put the Royalists at a numerical disadvantage by Newbury, and notes the Royalist overreliance on Cavalry, with Essex " for his much lamented paucity of cavalry by tactical ingenuity and firepower ", countering Rupert's cavalry by driving them off with mass infantry formations.

A related term was the equivalence factor, one gram divided by equivalent weight, which was the numerical factor by which the mass of precipitate had to be multiplied to obtain the mass of analyte.