The Lorentz transformation is equivalent to the Galilean transformation in the limit c < sub > 0 </ sub > → ∞ ( a hypothetical case ) or v → 0 ( low speeds ).

Because R is the Lie algebra of the simply connected Lie group R, this induces a Lie group homomorphism c: R → G so that

: Ab + cD → A – D + b + c

We have lim < sub > x → c </ sub > a < sub > n </ sub > = L if and only if for every neighborhood Y of L, the net is eventually in Y.

These are subspaces of the Clifford algebra of the form Cℓ ( V, g ) ω, admitting the evident action of Cℓ ( V, g ) by left-multiplication: c: xω → cxω.

The forgetful functor Met < sub > c </ sub > → Set lifts finite limits but does not lift them uniquely.

* for every three objects a, b and c, a binary operation hom ( a, b ) × hom ( b, c ) → hom ( a, c ) called composition of morphisms ; the composition of f: a → b and g: b → c is written as g ∘ f or gf.

* ( associativity ) if f: a → b, g: b → c and h: c → d then h ∘ ( g ∘ f ) = ( h ∘ g ) ∘ f, and

Each of the Fatou domains contains at least one critical point of, that is, a ( finite ) point z satisfying, or z = ∞, if the degree of the numerator is at least two larger than the degree of the denominator, or if for some c and a rational function satisfying this condition.

* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )

If a ) testimonies conflict one another, b ) there are a small number of witnesses, c ) the speaker has no integrity, d ) the speaker is overly hesitant or bold, or e ) the speaker is known to have motives for lying, then the epistemologist has reason to be skeptical of the speaker's claims.

In September 2002, estimated number of 1500-2000 people gathered to demonstrate against the Annual Meetings of IMF and World Bank in the streets of Washington D. c. Protesting groups included the Anti-Capitalist Convergence, the Mobilization for Global Justice.

* SV — Save: number of games where the pitcher enters a game led by the pitcher's team, finishes the game without surrendering the lead, is not the winning pitcher, and either ( a ) the lead was three runs or fewer when the pitcher entered the game ; ( b ) the potential tying run was on base, at bat, or on deck ; or ( c ) the pitcher pitched three or more innings

Modern scholarly thinking is that the books originated by combining a number of independent texts of various ages when the larger Deuteronomistic history ( the Former Prophets plus Deuteronomy ) was being composed in the period c. 630-540 BCE.

( Technically, the quantum states are rays of vectors in the Hilbert space, as corresponds to the same state for any nonzero complex number c .)

When the UK Channel 4 television program " The Bermuda Triangle " ( c. 1992 ) was being produced by John Simmons of Geofilms for the Equinox series, the marine insurance market Lloyd's of London was asked if an unusually large number of ships had sunk in the Bermuda Triangle area.

Notably, an Indian mathematician Mahavira ( c. 850 ) provided the general formulae for the number of permutations and combinations.

This is achieved by scaling the number of involved molecules ( A, B, C and D in a schematic example below ) by the appropriate integers a, b, c and d.

Furthermore, if b < sub > 1 </ sub > and b < sub > 2 </ sub > are both coprime with a, then so is their product b < sub > 1 </ sub > b < sub > 2 </ sub > ( modulo a it is a product of invertible elements, and therefore invertible ); this also follows from the first point by Euclid's lemma, which states that if a prime number p divides a product bc, then p divides at least one of the factors b, c.

Linear Diophantine equations take the form ax + by = c. If c is the greatest common divisor of a and b then this is Bézout's identity, and the equation has an infinite number of solutions.

By definition, equality follow a number of " equivalence relations ", including ( a ) reflexive ( i. e. ), ( b ) symmetric ( i. e. if then ) ( c ) transitive ( i. e. if and then ).

The first truly epistolary novel, the Spanish " Prison of Love " ( Cárcel de amor ) ( c. 1485 ) by Diego de San Pedro, belongs to a tradition of novels in which a large number of inserted letters already dominated the narrative.

Thus, any other number c that divides both a and b must also divide g. The greatest common divisor g of a and b is the unique ( positive ) common divisor of a and b that is divisible by any other common divisor c.

In the second step, any natural number c that divides both a and b ( in other words, any common divisor of a and b ) divides the remainders r < sub > k </ sub >.

He also played organ at Philadelphia's Christ Church and composed or edited a number of hymns and psalms including: " A Collection of Psalm Tunes with a few Anthems and Hymns Some of them Entirely New, for the Use of the United Churches of Christ Church and St. Peter's Church in Philadelphia " ( 1763 ), " A psalm of thanksgiving, Adapted to the Solemnity of Easter: To be performed on Sunday, the 30th of March, 1766, at Christ Church, Philadelphia " ( 1766 ), and " The Psalms of David, with the Ten Commandments, Creed, Lord's Prayer, & c. in Metre " ( 1767 ).

: c ) Year-by-year details of the changes in the number of franchisees for the previous three years in Italy,

An upper limit of 750 BC is indicated by a number of considerations, such as the probability that his work was written down, the fact that he mentions a sanctuary at Delphi that was of little national significance before c. 750 BC ( Theogony l. 499 ), and he lists rivers that flow into the Euxine, a region explored and developed by Greek colonists beginning in the 8th century BC.

Hercules had a greater number of " deeds on the side " ( parerga ) that have been popular subjects for art, including: Comic book cover ( c. 1958 )

* Chapter 3: The Double Shakedown-in this chapter, Finkelstein claims that the number of Jewish survivors of the Holocaust recognized by relief groups increased from c. 100, 000 in 1945 to nearly 1 million owing to definitional changes in who was considered to be a survivor.

Starting c. 1500, a number of species became extinct upon human settlement of the islands, including:

Although under Section 3 ( c ) 7 a fund can have an unlimited number of investors, if a fund has any class of equity securities owned by more than 499 investors, it must register its securities with the SEC under the Securities Exchange Act of 1934.

The Montana Conservation Corps ( MCC ) is a registered 501 ( c ) 3 non-profit organization with a mission to equip young people with the skills and values to be vigorous citizens who improve their communities and environment.

Eventually, both velar consonants and developed palatalized allophones before front vowels ; consequently in today's Romance languages, ⟨ c ⟩ and ⟨ g ⟩ have different sound values depending on context.

; all oscillation periods occur for some values of r. A period-doubling window with parameter c is a range of r-values consisting of a succession of sub-ranges.

Therefore, these numerical values ( such as 299, 792, 458 for the constant speed of light c expressed in units of meters per second ) are not values that a theory of physics can be expected to predict.

It is currently disputed whether any changes in dimensional physical constants such as G, c, ħ, or ε < sub > 0 </ sub > are operationally meaningful ;< ref > In SI, c, and ε < sub > 0 </ sub > now are defined numerical values, independent of experiment, so observations now are directed elsewhere .</ ref > however, a sufficient change in a dimensionless constant such as α is generally agreed to be something that would definitely be noticed.

If c, h, and e were all changed so that the values they have in metric ( or any other ) units were different when we looked them up in our tables of physical constants, but the value of α remained the same, this new world would be observationally indistinguishable from our World.

*( c ) the arbitrariness, relativity, or subjectivity of moral values,

For Hg-1201, Hg-1212 and Hg-1223, the values of T < sub > c </ sub > are 94, 128 and 134 K respectively, as shown in table below.

A first countable, separable Hausdorff space ( in particular, a separable metric space ) has at most the continuum cardinality c. In such a space, closure is determined by limits of sequences and any sequence has at most one limit, so there is a surjective map from the set of convergent sequences with values in the countable dense subset to the points of X.

* The set of all real-valued continuous functions on a separable space has a cardinality less than or equal to c. This follows since such functions are determined by their values on dense subsets.

** RISC — arithmetic instructions use registers only, so explicit 2-operand load / store instructions are needed: load a, reg1 ; load b, reg2 ; add reg1 + reg2 -> reg3 ; store reg3, c ; unlike 2-operand or 1-operand, this leaves all three values a, b, and c in registers available for further reuse.

The energy levels of these quantized orbitals take on discrete values:, where ω < sub > c </ sub > = eB / m is the cyclotron frequency.

In addition to this, superconductors that have unusually high values of T < sub > c </ sub > but that are not cuprate perovskites have been discovered.

* Recently, other unconventional superconductors, not based on cuprate structure, have been discovered .< ref > Some have unusually high values of the critical temperature, T < sub > c </ sub >, and hence they are sometimes also called high-temperature superconductors.

The best antibiotics are those with higher h values ( more reactive to hydrolysis ) and lower c values ( better binding to PBPs ).

Constants c < sub > 0 </ sub > and μ < sub > 0 </ sub > are defined in SI units to have exact numerical values, shifting responsibility of experiment to the determination of the meter and the ampere.

For such an iteration the Julia set is not in general a simple curve, but is a fractal, and for some values of c it can take surprising shapes.

A Julia set plot showing Julia sets for different values of c ; it resembles the Mandelbrot set

Though there is still-controversial evidence that Aristarchus of Samos possessed distinct values for the sidereal and tropical years as early as c. 280 BC, the discovery of precession is usually attributed to Hipparchus ( 190 – 120 BC ) of Rhodes or Nicaea, a Greek astronomer.

If D is non-zero ( so for planes not through the origin ) the values for a, b and c can be calculated as follows:

Let be the mean of the values in associated with class c, and let be the variance of the values in associated with class c. Then, the probability of some value given a class,, can be computed by plugging into the equation for a Normal distribution parameterized by and.