* δ Antliae is a blue double star 481 light years away.

δ < sup > 1 </ sup > is a red giant star located 765 light years away, with a magnitude of 4. 7. δ < sup > 2 </ sup > is an orange giant star located 663 light years away, with a magnitude of 5. 3.

where α > − 1, δ < sub > m, n </ sub > is the Kronecker delta, and u < sub > α, m </ sub > is the m-th zero of J < sub > α </ sub >( x ).

for α > − 1 / 2 and where δ is the Dirac delta function.

The brightest star in Capricornus is δ Capricorni, also called Deneb Algedi, with a magnitude of 2. 9, 39 light-years from Earth.

The planet Neptune was discovered in Capricornus by German astronomer Johann Galle, near Deneb Algedi ( δ Capricorni ) on September 23, 1846, which is appropriate as Capricornus can be seen best from Europe at 4: 00am in September.

Star δ Cap, at the tip of the horn, is of the third magnitude.

* If the metric space X is compact and an open cover of X is given, then there exists a number such that every subset of X of diameter < δ is contained in some member of the cover.

In Tonga it is known as Toloa (" duck "); it is depicted as a duck flying south, with one of his wings ( δ Crucis ) wounded because Ongo tangata (" two men ", α and β Centauri ) threw a stone at it.

* δ Cae is a blue-white hued star of magnitude 5. 1, 710 light-years from Earth.

The cofinality of an ordinal α is the smallest ordinal δ which is the order type of a cofinal subset of α.

Delta ( uppercase Δ, lowercase δ ; Délta ; Modern Greek ) is the fourth letter of the Greek alphabet.

where E is the electric field and δ < sup > 3 </ sup > is the 3-dimensional delta function.

In astronomy, declination ( abbreviated dec ; symbol δ ) is one of the two direction coordinates of a point on the celestial sphere in the equatorial coordinate system, the other being either right ascension or hour angle.

where δ is the Dirac delta function.

δ Serpentis, also in the head, is a double star 210 light-years from Earth.

* δ Sge: M2 II + A0 V ( suspected visual double ; probably single image, composite spectrum ), 3. 82m

# The grammarians Dionysius Thrax and Dionysius of Halicarnassus class ζ with the " double " () letters ψ, ξ and analyse it as σ + δ. Contra: The Roman grammarian Verrius Flaccus believed in the opposite sequence, δ + σ ( in Velius Longus, De orthogr.

If, for example, we simply look at a curve in the real affine plane there might be singular P modulo the stalk, or alternatively as the sum of m ( m − 1 )/ 2, where m is the multiplicity, over all infinitely near singular points Q lying over the singular point P. Intuitively, a singular point with delta invariant δ concentrates δ ordinary double points at P. For an irreducible and reduced curve and a point P we can define δ algebraically as the length of where is the local ring at P and is its integral closure.

Delta Sagittarii ( Delta Sgr, δ Sagittarii, δ Sgr ) is a double star in the southern zodiac constellation of Sagittarius.

As a result, it was identified in 2005 as a δ Scuti variable star.

The components of the primary are becoming closer together and will not be divisible in amateur telescopes beginning in 2015. δ Equ is a binary star with an orbital period of 5. 7 years, which at one time was the shortest known orbital period for an optical binary.

Comparing the light curve, the amplitude and the radial velocity variations as compared to the light curve, Type II Cepheids constitute a different class of star with a luminosity relation offset from that of the δ Cepheids.

The typical δ Scuti star has an amplitude of 0. 003 – 0. 9 magnitudes ( 0. 3 % to about 130 % change in luminosity ) and a period of 0. 01 – 0. 2 days.

The star is also considered as δ ( Delta ) or the 4th star in the Great Bear constellation.

Whether a given star is circumpolar at the observer's latitude ( θ ) may be calculated in terms of the star's declination ( δ ).

The star is circumpolar if θ + δ is greater than + 90 ° ( observer in northern hemisphere ), or θ + δ is less than − 90 ° ( observer in southern hemisphere ).

Similarly, the star will never rise above the local horizon if δ − θ is less than − 90 ° ( observer in northern hemisphere ), or δ − θ is greater than + 90 ° ( observer in southern hemisphere ).

This star, along with ε CMa ( Adhara ), δ CMa ( Wezen ) and ο < sup > 2 </ sup > CMa ( Thanih al Adzari ), were Al ʽAdhārā ( ألعذاري ), the Virgins.

The most notable star in the constellation is δ Pavonis, a nearby Sun-like but more evolved star.

δ Cephei is the prototype Cepheid variable, a yellow-hued supergiant star 980 light-years from Earth.

Mintaka ( δ Orionis, 34 Orionis ) is a star some 900 light years distant in the constellation Orion.

The goat's horn sticks out with stars γ Cap and δ Cap.

Calculations with infinitesimals were widely replaced with the ( ε, δ )- definition of limit starting in the 1870s.

< sup > δ </ sup > Though this term is non-standard usage – by " left ", agorists mean " left " in the general sense used by left-libertarians, as defined by Roderick T. Long, as "... an integration, or I'd argue, a reintegration of libertarianism with concerns that are traditionally thought of as being concerns of the left.

* Voltage-gated calcium channels: This family contains 10 members, though these members are known to coassemble with α < sub > 2 </ sub > δ, β, and γ subunits.

1 and 0 otherwise, sometimes called multiplication unit for Dirichlet convolution or simply the unit function ; the Kronecker delta δ < sub > in </ sub >; sometimes written as u ( n ), not to be confused with ( n ) ( completely multiplicative ).

The Lindemann criterion states that melting occurs because of vibrational instability, e. g. crystals melt when the average amplitude of thermal vibrations of atoms is relatively high compared with interatomic distances, e. g. < δu < sup > 2 </ sup >> 1 / 2 > δ < sub > L </ sub > R < sub > s </ sub >, where δu is the atomic displacement, the Lindemann parameter δ < sub > L </ sub > ≈ 0. 20 ... 0. 25 and R < sub > s </ sub > is a half of the inter-atomic distance.

In virus species with reverse transcriptase lacking DNA-dependent DNA polymerase activity, creation of double-stranded DNA can possibly be done by host-encoded DNA polymerase δ, mistaking the viral DNA-RNA for a primer and synthesizing a double-stranded DNA by similar mechanism as in primer removal, where the newly synthesized DNA displaces the original RNA template.

From about 1993, the highest temperature superconductor was a ceramic material consisting of thallium, mercury, copper, barium, calcium and oxygen ( HgBa < sub > 2 </ sub > Ca < sub > 2 </ sub > Cu < sub > 3 </ sub > O < sub > 8 + δ </ sub >) with T < sub > c </ sub > = 138 K .< ref >

where δ ( E < sub > ψ </ sub >– E < sub > χ </ sub >) restricts tunneling to occur only between electron levels with the same energy.

* γ Sge: this cool giant ( M0 III, 3. 47m ) represents with the stars δ Sge and ε Sge the shaft.

Given metric spaces ( X, d < sub > 1 </ sub >) and ( Y, d < sub > 2 </ sub >), a function f: X → Y is called uniformly continuous if for every real number ε > 0 there exists δ > 0 such that for every x, y ∈ X with d < sub > 1 </ sub >( x, y ) < δ, we have that d < sub > 2 </ sub >( f ( x ), f ( y )) < ε.

The Lebesgue integral with respect to the measure δ satisfies

The measure δ is not absolutely continuous with respect to the Lebesgue measure — in fact, it is a singular measure.

Suppose in a year an object moves from coordinates ( α, δ ) to coordinates ( α < sub > 1 </ sub >, δ < sub > 1 </ sub >), with angles measured in seconds of arc.