[permalink] [id link]
If the universe is homogeneous at a large scale, then there would be four times as many stars in a second shell between 2, 000, 000, 000 to 2, 000, 000, 001 light years away.
Some Related Sentences
If and universe
If the moral code were flouted, the proper balance of the universe would be upset, and the disastrous result could be floods, plague, or famine.
If this is true, then the universe today looks just as it did millions of years ago and as it will look millions of years hence, even though the universe is expanding.
If the universe is flat, there must be an additional component making up 73 % ( in addition to the 23 % dark matter and 4 % baryons ) of the energy density of the universe.
* If one refuses to sit down and make a move, one cannot be checkmated ( in relation to Russell's belief about the existence of the universe ).
If an elementary particle truly has no substructure, then it is one of the basic building blocks of the universe from which all other particles are made.
If confirmed, this would imply special relativity is an approximation to a more general theory, but since the relevant comparison would ( by definition ) be outside the observable universe, it is difficult to imagine ( much less construct ) experiments to test this hypothesis.
If this sounds indulgent, it allows simultaneity, absolute space and time and a deterministic universe ( along with decoherence theory ) whilst the status-quo permits time travel / causality paradoxes, subjectivity in the measurement process and multiple universes.
If the entire volume of the observable universe ( taken to be 3 × 10 < sup > 80 </ sup > m < sup > 3 </ sup >) were packed solid with fine dust particles about 1. 5 micrometres in size, then the number of different ways of ordering these particles ( that is, assigning the number 1 to one particle, then the number 2 to another particle, and so on until all particles are numbered ) would be approximately one googolplex.
If the universe is static and populated by an infinite number of stars, any sight line from Earth must end at the ( very bright ) surface of a star, so the night sky should be completely bright.
If, on the other hand, the conception taken as the foundation of the system is that the great inclusive unity is the world itself, or the universe, God is swallowed up in that unity, which may be designated nature.
If one adds two whole parts the result is one whole and if one whole is subtracted from another whole the result is another whole-it means there is one whole universe and it is all prevaded by " Him ". Since the universe has come forth from the Divine, all things and beings are sacred and must be treated so in human thought and action.
If God in some sense knows ahead of time what will happen, then events in the universe are effectively predetermined from God's point of view.
If the energy density is positive, the associated negative pressure will drive an accelerated expansion of the universe, as observed.
If the universe is described by an effective local quantum field theory down to the Planck scale, then we would expect a cosmological constant of the order of.
If this type of energy were to exist, it would cause a big rip in the universe due to the growing energy density of dark energy which would cause the expansion of the universe to increase at a faster-than-exponential rate.
If there are as many monkeys as there are particles in the observable universe ( 10 < sup > 80 </ sup >), and each types 1, 000 keystrokes per second for 100 times the life of the universe ( 10 < sup > 20 </ sup > seconds ), the probability of the monkeys replicating even a short book is nearly zero.
If one assumes that all of the universe consists of protons and neutrons, the density of the universe is such that much of the currently observed deuterium would have been burned into helium-4.
If α were > 0. 1, stellar fusion would be impossible and no place in the universe would be warm enough for life as we know it.
If and is
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.
If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.
If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.
If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
If and homogeneous
If a mathematical function is used to represent the production function, and if that production function is homogeneous, returns to scale are represented by the degree of homogeneity of the function.
If the Earth were perfectly spherical and homogeneous, then longitude at a point would just be the angle between a vertical north-south plane through that point and the plane of the Greenwich meridian.
If two dissimilar homogeneous materials produce thermal EMF1 when the junctions are at T1 and T2 and produce thermal EMF2 when the junctions are at T2 and T3, the EMF generated when the junctions are at T1 and T3 will be EMF1 + EMF2, provided T1 < T2 < T3.
If goods are homogeneous, firms know that a change in their market share is probably due to a price cut ( or quantity increase ) by another member.
If any two functions are solutions to Laplace's equation ( or any linear homogeneous differential equation ), their sum ( or any linear combination ) is also a solution.
If the azeotropic composition is outside the miscibility gap or the constituents of the mixture are completely miscible the type of azeotrope is called a homogeneous azeotrope.
If the supersaturation is high enough, and no suitable surfaces are present, particles may condense in the absence of a pre-existing surface, which is known as homogeneous nucleation.
If the body consists of a homogeneous material with sufficiently known physical properties, the thermal mass is simply the mass of material present times the specific heat capacity of that material.
If the recurrence is inhomogeneous, a particular solution can be found by the method of undetermined coefficients and the solution is the sum of the solution of the homogeneous and the particular solutions.
If there are multiple consumers with homogeneous demand, then profit will equal n times the area ABC, where n is the number of consumers.
If the sex organs are homogeneous, the individual will not be expected to exhibit any intersex traits.
If programmers find that they are using multiple objects in the same way, and often have nearly identical code to handle each of them, then composite is a good choice ; it is less complex in this situation to treat primitives and composites as homogeneous.
If the transformation equations defining the generalized coordinates are independent of t, and the Lagrangian is a sum of products of functions ( in the generalized coordinates ) which are homogeneous of order 0, 1 or 2, then it can be shown that H is equal to the total energy E = T + V.
If all units of land are homogeneous, but demand exceeds supply, the entire land will earn economic rent by virtue of its scarcity.
If the homogeneous coordinates of a point are multiplied by a non-zero scalar then the resulting coordinates represent the same point.
If V is a projective variety defined by a homogeneous ideal I, then the values for which A or I appear explicitly in previous definitions must be decreased by one.
If R is a quotient of by a homogeneous ideal, then the canonical surjection induces the closed immersion
As before, suppose that E is a fibre bundle with structure group G. In the special case when G has a free and transitive left action on F ′, so that F ′ is a principal homogeneous space for the left action of G on itself, then the associated bundle E ′ is called the principal G-bundle associated to the fibre bundle E. If, moreover, the new fibre F ′ is identified with G ( so that F ′ inherits a right action of G as well as a left action ), then the right action of G on F ′ induces a right action of G on E ′.