Specifically, the division of the ecliptic in twelve equal sectors is a Babylonian conceptual construction.

A category C is said to have limits of type J if every diagram of type J has a limit in C. Specifically, a category C is said to

Specifically, draw a diagonal line connecting two points on the diagram so that every other point is either on or to the right and above it.

Specifically, if F is a diagram in Top and ( L, φ ) is a limit of UF in Set, the corresponding limit of F in Top is obtained by placing the initial topology on ( L, φ ).

Specifically, a function f is periodic with period P if the graph of f is invariant under translation in the x-direction by a distance of P. This definition of periodic can be extended to other geometric shapes and patterns, such as periodic tessellations of the plane.

Specifically, the adjacency matrix of a finite graph G on n vertices is the n × n matrix where the non-diagonal entry a < sub > ij </ sub > is the number of edges from vertex i to vertex j, and the diagonal entry a < sub > ii </ sub >, depending on the convention, is either once or twice the number of edges ( loops ) from vertex i to itself.

Specifically, since the Ramsey number R ( 3, 3 )= 6, any two-coloring of the complete graph on 6 vertices ( K < sub > 6 </ sub >) must contain a monochromatic triangle, and therefore is not a tied position.

Specifically, such a sequence can begin by forming each of the independent sets of the Turán graph as a disjoint union of isolated vertices.

Specifically, the following decision problem, known as the domatic number problem, is NP-complete: given a graph and an integer, determine whether the domatic number of is at least.

Specifically it states that for any integers n ≥ 0 and m ≥ 1, the functions J < sub > n </ sub >( x ) and J < sub > n + m </ sub >( x ) have no common zeros other than the one at x = 0.

Specifically, a male secondary school enrollment 10 % above the average reduced the chance of a conflict by about 3 %, while a growth rate 1 % higher than the study average resulted in a decline in the chance of a civil war of about 1 %.

Specifically, they showed that for sufficiently large, there are at least Carmichael numbers between 1 and.

Specifically, if ƒ is an invertible function with domain X and range Y, then its inverse ƒ < sup >− 1 </ sup > has domain Y and range X, and the inverse of ƒ < sup >− 1 </ sup > is the original function ƒ.

Specifically, in diabetic mice the κ-opioid receptor appears to be involved in the antinociceptive effects of oxycodone, while in non-diabetic mice the μ < sub > 1 </ sub >- opioid receptor seems to be primarily responsible for these effects.

Specifically, the campaign raised $ 253. 7 million for undergraduate financial aid, as well as $ 2. 33 billion for its initiative in " Seeking Solutions " to global problems, $ 1. 61 billion for " Educating Leaders " by improving K-12 education, and $ 2. 11 billion for " Foundation of Excellence " aimed at providing academic support for Stanford students and faculty.

Specifically, it is a nontrivial bundle over the circle S < sup > 1 </ sup > with a fiber the unit interval, I =.

Specifically, an n-simplex is an n-dimensional polytope which is the convex hull of its n + 1 vertices.

Specifically, for works published before January 1, 1978 and still in copyright on October 27, 1998, the term was extended to 95 years.

Specifically, if I < sub > 1 </ sub > and I < sub > 2 </ sub > are two different initial objects, then there is a unique isomorphism between them.

( Specifically, v < sub > 3 </ sub > = – 2v < sub > 1 </ sub > + v < sub > 2 </ sub >.

But the Lovett Court said that a bill of attainder 1 ) Specifically identified the people to be punished ; 2 ) Imposed punishment ; and 3 ) Did so without benefit of judicial trial.

Specifically, χ is said to be odd if χ (− 1 ) = − 1 and even if χ (− 1 ) = 1.

Specifically, as of 2007, it is recommended that such prophylaxis be limited only to 1. those with prosthetic heart valves, 2. those with previous episode ( s ) of endocarditis, and 3. those with certain types of congenital heart disease .< sup > Link </ sup >

Specifically, if the eigenvalues all have real part with a magnitude less than 1, then the system is stable in the operating point, if any eigenvalue has a real part with a magnitude greater than 1, then the point is unstable.

Specifically, the term ' memory ' came from an aerospace nickel-cadmium application in which the cells were repeatedly discharged to 25 % of available capacity ( plus or minus 1 %) by exacting computer control, then recharged to 100 % capacity without overcharge.

Specifically, the two pathways of hypoxia-inducible factor-1 ( HIF-1 ) and early growth response 1 ( EGR-1 ) are activated by hypoxia, and they contribute to monocyte and endothelial activation.

Specifically, if one identifies the wordless state with turīya and meditates, one realizes the true self and ' there is no return to the sphere of empirical life '.

Specifically, a topological space is compact if, whenever a collection of open sets covers the space, some subcollection consisting only of finitely many open sets also covers the space.

( Specifically, as of October 2007, Fiji's military had 3527 full-time members, of whom only 15 were Indo-Fijians.

Specifically, in these enclaves, the federal government may have proprietary jurisdiction ( only the rights of any other landowner ), concurrent jurisdiction ( the right to legislate concurrently with the state government ), or exclusive jurisdiction over the land where an act was committed in order to establish jurisdiction over the actor.

Specifically, some cardrooms only grant the right to view a mucked losing hand if the requesting player articulates a concern about possible collusion.

Specifically, the problem of combining quantum mechanics and gravity becomes an issue only at very high energies, and may well require a totally new kind of model.

Specifically, since logical language can only reflect the world, any discussion of the mystical, that which lies outside of the metaphysical subject's world, is meaningless.

This can be shown using the concept of left cosets of H in G. The left cosets are the equivalence classes of a certain equivalence relation on G and therefore form a partition of G. Specifically, x and y in G are related if and only if there exists h in H such that x

Specifically, it assumes either that there is only one timeline, or that any alternative timelines ( such as those postulated by the many-worlds interpretation of quantum mechanics ) are not accessible.

Specifically, they share the idea that the reality of God is completely inaccessible to human beings and that man can only come to see God through a spiritual journey in which knowledge < nowiki >< nowiki ></ nowiki > is rejected in favour of meditation.

Specifically, a ( locally small ) complete category C has an initial object if and only if there exist a set I ( not a proper class ) and an I-indexed family ( K < sub > i </ sub >) of objects of C such that for any object X of C there at least one morphism K < sub > i </ sub > → X for some i ∈ I.

Specifically, monothelitism teaches that Jesus Christ had two natures but only one will.

Specifically, decrypted data will only ever be passed to authenticated, trusted applications, and will only ever be stored in curtained memory, making it inaccessible to other applications and the Operating System.

Specifically, critics argue that the costs and energy used in collection and transportation detract from ( and outweigh ) the costs and energy saved in the production process ; also that the jobs produced by the recycling industry can be a poor trade for the jobs lost in logging, mining, and other industries associated with virgin production ; and that materials such as paper pulp can only be recycled a few times before material degradation prevents further recycling.

Specifically, a polynomial equation is solvable by radicals if and only if the corresponding Galois group is solvable.

Specifically, it states that for every ε > 0 there exist only finitely many triples ( a, b, c ) of positive coprime integers with a + b = c such that

Specifically: a table is in 2NF if and only if it is in 1NF and no non prime attribute is dependent on any proper subset of any candidate key of the table.

Specifically, the failure of the map to be a local homeomorphism at certain points is referred to as gimbal lock, and is demonstrated in the animation at the right – at some points ( when the axes are coplanar ) the rank of the map is 2, rather than 3, meaning that only 2 dimensions of rotations can be realized from that point by changing the angles.

Specifically, the inquiry is focused upon a thing that has no immediately apparent characteristics and therefore has only factors for consideration held within itself hidden from immediate observation.

Specifically addressing the use of the death penalty, article 6, paragraph 2 provides in relevant part that a death sentence may only be imposed "... for the most serious crimes in accordance with the law in force at the time of the commission of the crime ...."

Specifically, DoD policy stated that " the medal will be issued only to those taken prisoner by an enemy during armed conflict ," and further states that " hostages of terrorists and persons detained by governments with which the US is not actively engaged in armed conflict are not eligible for the medal .” However, the 1989 amendment to the POW Medal Statute that created an exception to the armed conflict requirement was overlooked in the July 1990 version of the DoD Manual of Military Decorations and Awards, presumably because the 1989 amendment occurred in November, during the staffing window for the 1990 revision to the manual.

Specifically, if indeed local protein synthesis underlies L-LTP, only dendritic spines receiving LTP-inducing stimuli will undergo LTP ; the potentiation will not be propagated to adjacent synapses.

Specifically, he corrected Ptolmey ’ s estimate of the length of the Mediterranean sea from 62 degrees to the correct value of 42 degrees In his treatise on the solar year, which survives only in a Hebrew translation, he was the first to demonstrate the motion of the solar apogee relative to the fixed background of the stars.