combination

(noun)

A way of selecting elements from a set, where order does not matter.

Related Terms

Examples of combination in the following topics:

  • Combination Circuits

    • A combination circuit can be broken up into similar parts that are either series or parallel.
    • More complex connections of resistors are sometimes just combinations of series and parallel.
    • Combination circuit can be transformed into a series circuit, based on an understanding of the equivalent resistance of parallel branches to a combination circuit.
    • This combination of seven resistors has both series and parallel parts.
    • Describe arrangement of resistors in a combination circuit and its practical implications

  • Combinations

    • In smaller cases, it is possible to count the number of combinations.
    • Combinations can refer to the combination of $n$ things taken $k$ at a time with or without repetition.
    • Combination problems involve such scenarios.
    • Each possible combination of $k$ distinct elements of a set $S$ is known as a $k$-combination.
    • If the set has $n$ elements, the number of $k$-combinations is equal to

  • Combined Variation

    • Combined variation describes the relationship between three or more variables that vary directly and inversely with one another.
    • Combined variation is used to describe the relationship between three or more variables that vary directly and inversely with one another.
    • Before go deeper into the concept of combined variation, it is important to first understand what direct and inverse variation mean.
    • A practical example of combined variation is the Combined Gas Law, which relates the pressure (p), volume (v), moles (n), and temperature (T) of a sample of gas:
    • Apply the techniques learned with direct and inverse variation to combined variation

  • Permutations and Combinations

    • When order of choice is not considered, the formula for combinations is used.
    • In other words, how many different combinations of two pieces could you end up with?
    • As you can see, there are six combinations of the three colors.
    • The formula for the number of combinations is shown below where nCr is the number of combinations for n things taken r at a time.
    • How many combinations of exactly 3 toppings could be ordered?

  • Dehydration Synthesis

    • In dehydration synthesis, monomers combine with each other via covalent bonds to form polymers.
    • The monomers combine with each other via covalent bonds to form larger molecules known as polymers.
    • In a dehydration synthesis reaction between two un-ionized monomers, such as monosaccharide sugars, the hydrogen of one monomer combines with the hydroxyl group of another monomer, releasing a molecule of water in the process.
    • Different types of monomers can combine in many configurations, giving rise to a diverse group of macromolecules.
    • There is great diversity in the manner by which monomers can combine to form polymers.

  • Formulas of Ionic Compounds

    • For example, to combine magnesium (Mg) and bromine (Br) to get an ionic compound, we first note the electronic configurations of these atoms (valence level in indicated in italics):
    • Therefore, for the resulting compound to be neutral, two bromine anions must combine with one magnesium cation to form magnesium bromide (MgBr2).

  • Adding and Subtracting Polynomials

    • Recall the rules for adding and subtracting algebraic expressions, which state that only like terms can be combined.
    • If any term does not have a like term in the other polynomial, it does not need to be combined with any other term.

  • Linear Combination of Atomic Orbitals (LCAO)

    • It is possible to combine the known orbitals of constituent atoms in a molecule to describe its electron orbitals.
    • Molecular orbitals (MOs) represent regions in a molecule where an electron is likely to be found; they are obtained by combining atomic orbitals.
    • An MO can specify a molecule's electron configuration, and most commonly, it is represented as a linear combination of atomic orbitals (the LCAO-MO method), especially in qualitative or approximate usage.
    • A linear combination of atomic orbitals, or LCAO, is a quantum superposition of atomic orbitals and a technique for calculating molecular orbitals in quantum chemistry.
    • Essentially, n atomic orbitals combine to form n molecular orbitals.

  • Combining internal and external equity

    • The next step will be to combine these two sets of data, to create a pay policy line.
    • In other words, the straight line generated by the regression analysis will be the line that best combines the internal value of a job (from job evaluation points) and the external value of a job (from the market survey).

  • Combining multiple relations

    • For most analyses, the information about the multiple relations among actors will need to be combined into a single summary measure.
    • One common approach is to combine the multiple relations into an index that reflects the quality (or type) of multi-plex relation.
    • Combining multiple relations in this way yields a qualitative typology of the kinds of relations that exist among actors.
    • Figure 16.7 shows the dialog for Transform>Matrix Operations> Matrix Operations> Between Datasets>Boolean Combinations.
    • Dialog for between dataset matrix operations - Boolean combinations