These quantum numbers only occur in certain combinations of values, and their physical interpretation changes depending on whether real or complex versions of the atomic orbitals are employed.

These were larger than the great majority of German woodcuts hitherto, and far more complex and balanced in composition.

These programs now easily run on most personal computers, and are often capable of more complex functions than those which would have necessitated the most powerful mainframe computers several decades ago.

These castes had a complex structure in the fragmented city states of Italy such as Genoa, Venice, Naples, Roma, Florence and Lombardy ; in some, the merchants were the nobili, in others the nobili despised the merchant caste and were agriculturalists, in yet others the nobili caste despised all work.

These cover Clement's celestial hierarchy, a complex schema in which the universe is headed by the Face of God, below which lie seven protoctists, followed by archangels, angels and humans.

These two groups of viruses share a distinctive 12-fold arrangement of subunits in the portal complex.

These range from specific market access issues and difficulties for businesses facing a highly regulated and complex system through to restrictions in the export of agricultural goods ( potatoes ) and fishery products because they do not conform with EU quality norms.

These hypothetical forms of life range from simple bacteria-like organisms to beings far more complex than humans.

These formulas can even serve as the definition of the trigonometric functions for complex arguments x.

These seizures arise from the frontal lobes and consist of complex motor movements, such as hand clenching, arm raising / lowering, and knee bending.

These G proteins are made from three subunits, with the G domain located on the largest one ( the α unit ); together with the two smaller subunits ( β and γ units ), they form a tightly associated protein complex.

These proteins help to modulate IGF action in complex ways that involve both inhibiting IGF action by preventing binding to the IGF-1 receptor as well as promoting IGF action possibly through aiding in delivery to the receptor and increasing IGF half-life.

These were originally considered primitive, but it now appears they developed from more complex ancestors.

These complex architectures allow some group I and group II introns to be self-splicing, that is, the intron-containing RNA molecule can rearrange its own covalent structure so as to precisely remove the intron and link the exons together in the correct order.

These resulted in increasingly complex structures of highly sophisticated and controlled color and surface integrity.

These functions were more complex than simple AND and OR gates.

These " aether-wind " experiments led to a flurry of efforts to " save " aether by assigning to it ever more complex properties, while only few scientists like Emil Cohn or Alfred Bucherer considered the possibility of the abandonment of the aether concept.

These oppositions are inherent to modernism: it is in its broadest cultural sense the assessment of the past as different to the modern age, the recognition that the world was becoming more complex, and that the old " final authorities " ( God, government, science, and reason ) were subject to intense critical scrutiny.

These are usually electrically fired and have complex sighting systems.

These programs provide support for dynamics and expression markings, chord and lyric display, and complex score styles.

These became essential with the appearance of complex synthesizers such as the Yamaha FS1R, which contained several thousand programmable parameters, but had an interface that consisted of fifteen tiny buttons, four knobs and a small LCD.

These polypeptides usually have a related function ( they often are the subunits composing a final complex protein ) and their coding sequence is grouped and regulated together in a regulatory region, containing a promoter and an operon.

These regions are all interconnected by means of complex neural pathways.

These works include complex polyphonic ensembles and reflect musical developments of their times.

These principles inevitably resulted in a large language which would need compilers substantially more complex than those for COBOL or Fortran.

These are functions obtained by composing exponentials, logarithms, radicals, trigonometric functions, and the four arithmetic operations (+ − × ÷).

These childhood experiences are sources of the self-certainty that the adolescent needs, for experimenting with many roles, and for the freedom to fail sometimes in the process of exploring and discovering her skills and abilities.

These antigens can sometimes be presented by tumor cells and never by the normal ones.

These were sometimes combined into the one device.

These are also sometimes called simply AC1, AC2, etc., and, somewhat confusingly, sometimes Roman numerals are used for these isoforms that all belong to the overall AC class III.

These compounds, e. g. calicheamicin, are some of the most aggressive antitumor drugs known, so much so that the ene-diyne subunit is sometimes referred to as a " warhead.

These two sequences converge to the same number, which is the arithmetic – geometric mean of and ; it is denoted by, or sometimes by.

These Sunday laws enacted at the state and local levels would sometimes carry penalties for doing non-religious activities on Sunday as part of an effort to enforce religious observance and church attendance.

These four-bit quantities are sometimes called nibbles, and correspond to hexadecimal digits.

These are sometimes known as signature bridges.

These may include a tire patch kit ( which, in turn, may contain any combination of a hand pump or CO < sub > 2 </ sub > Pump, tire levers, spare tubes, self-adhesive patches, or tube-patching material, an adhesive, a piece of sandpaper or a metal grater ( for roughing the tube surface to be patched ), and sometimes even a block of French chalk.

These fruit versions sometimes contain colored pearls ( and / or " jelly cubes " as in the related drink taho ), the color chosen to match whatever fruit juice is used.

These two styles ( K = 1024 and truncation ) were used loosely around the same time, sometimes by the same company.

These are sometimes called " the four pillars of the Big Bang theory ".

These toxins and the organisms that produce them are sometimes referred to as select agents.

These have sometimes been identified as another, separate work, the Ezra Memorial ( EM ), but other scholars believe the EM to be fictional and heavily altered by later editors.

These women are sometimes referred to as " keeners " and the best keeners would be in much demand.

These are sometimes referred to partial-inpatient programs.

These are often the same person, and the terms are sometimes used interchangeably.

These are sometimes called Weber functions after Heinrich Martin Weber, and also Neumann functions after Carl Neumann.

These groups are sometimes classified under denominations, though for theological reasons many groups reject this classification system.

These continued to dominate throughout the period, but during late Carboniferous, several other groups, Cycadophyta ( cycads ), the Callistophytales ( another group of " seed ferns "), and the Voltziales ( related to and sometimes included under the conifers ), appeared.

These peoples, sometimes referred to as the neo-Taíno nations, had migrated north along the Caribbean island chain.

" These extra copulas are sometimes called " semi-copulas " or " pseudo-copulas ".

These are also sometimes known as communities of practice.