*-big-∃-x-∀-y-∃-z-(-H-(-x-y-z-))-big

[permalink] [id link]

+ −

Page "Atomic sentence" ¶ 38

from Wikipedia

Promote Demote Fragment Fix

« More previous Okay Cancel More next »

Some Related Sentences

< and big

These nodes are areas where the action potential is amplified using a high density of sodium ( Na < big >+</ big >) ions and is subsequently passed along the axon.

where < big ></ big > is the number of degrees of freedom divided by two, R is the universal gas constant and n is the number of moles in the system ( a constant ).

The glyphs most commonly used in conjunction with the Latin script since early modern times are < big > 0 1 2 3 4 5 6 7 8 9 </ big >.

: Zn < big >< big >→</ big ></ big > Zn 2 + + 2e −

: 2H + + 2e − < big >< big >→</ big ></ big > H 2

< and >∃

* < big >∃ z ( G ( a, z ))</ big >: " Socrates hates somebody.

* < big >∃ x ∀ y ∃ z ( G ( a, z ) ∨ H ( x, y, z ))</ big >: " Either Socrates hates somebody or somebody made everybody hit somebody.

< and x

* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x i − X ) 2 of the residuals.

As an example, the field of real numbers is not algebraically closed, because the polynomial equation x 2 + 1 = 0 has no solution in real numbers, even though all its coefficients ( 1 and 0 ) are real.

Also, no finite field F is algebraically closed, because if a 1 , a 2 , …, a n are the elements of F, then the polynomial ( x − a 1 )( x − a 2 ) ··· ( x − a n ) + 1

Here, n denotes the sample mean of the first n samples ( x 1 , ..., x n ), s 2 n their sample variance, and σ 2 n their population variance.

< and ∀

Alphabets can also be infinite ; e. g. first-order logic is often expressed using an alphabet which, besides symbols such as ∧, ¬, ∀ and parentheses, contains infinitely many elements x 0 , x 1 , x 2 , … that play the role of variables.

# ∀ a ∃ a − 1 * a ∃ a * a − 1 ;

So, formally, a language L is NP-hard if ∀ L ' ∈ NP, L ' ≤ L. If it is also the case that L is in NP, then L is called NP-complete.

: ∀ x ∈ F ( A ), F ( id A ) ( x ) ≃ x

The left side is true if and only if ∀ i .¬ x i , and the right side if and only if ¬∃ i. x i .

This follows from the duality of ∀ and ∃: an element x is a member of if and only if ∀ α .¬ x ∈ A α , and is a member of if and only if ¬∃ α. x ∈ A α .

< and y

The shapes of the first five atomic orbitals: 1s, 2s, 2p x , 2p y , and 2p z .

This is not always the case: the trivial equation x = x specifies the entire plane, and the equation x 2 + y 2 = 0 specifies only the single point ( 0, 0 ).

The equation x 2 + y 2 = r 2 is the equation for any circle with a radius of r.

For example, using Cartesian coordinates on the plane, the distance between two points ( x 1 , y 1 ) and ( x 2 , y 2 ) is defined by the formula

x 2 + y 2 -1 = 0

Given any element x of X, there is a function f x , or f ( x ,·), from Y to Z, given by f x ( y ) := f ( x, y ).

Similarly, given any element y of Y, there is a function f y , or f (·, y ), from X to Z, given by f y ( x ) := f ( x, y ).

< and ∃

* < big >∀ x ∃ z ( F ( x ) ∧ G ( a, z ))</ big >: " Everybody is sleeping and Socrates hates somebody.

If F is an ordered field ( not just orderable, but a definite ordering is fixed as part of the structure ), the Artin – Schreier theorem states that F has an algebraic extension, called the real closure K of F, such that K is a real closed field whose ordering is an extension of the given ordering on F, and is unique up to a unique isomorphism of fields ( note that every ring homomorphism between real closed fields automatically is order preserving, because x ≤ y if and only if ∃ z y = x + z 2 ).

Basu and Roy ( 1996 ) proved that there exists a well-behaved algorithm to decide the truth of a formula ∃ x 1 ,…,∃ x k P 1 ( x 1 ,…, x k )⋈ 0 ∧…∧ P s ( x 1 ,…, x k )⋈ 0 where ⋈ is <, > or =, with complexity in arithmetic operations s k + 1 d O ( k ).

< and z

respectively, where e x , e y , e z denotes the cartesian basis vectors ( all are orthogonal unit vectors ) and A x , A y , A z are the corresponding coordinates, in the x, y, z directions.

where is the state with a definite value of the spin operator S z equal to + 1 / 2 and is the state with a definite value of the spin operator S z equal to-1 / 2.

< and H

With the formula C n H 2n + 2 , Alkanes belong to a homologous series of organic compounds in which the members differ by a constant relative molecular mass of 14.

The Arrhenius definition states that acids are substances which increase the concentration of hydronium ions ( H 3 O +) in solution.

An Arrhenius acid is a substance that increases the concentration of the hydronium ion, H 3 O +, when dissolved in water.

: H 2 O ( l ) + H 2 O ( l ) H 3 O +( aq ) + OH −( aq )

In pure water the majority of molecules exist as H 2 O, but a small number of molecules are constantly dissociating and re-associating.

Note that chemists often write H +( aq ) and refer to the hydrogen ion when describing acid-base reactions but the free hydrogen nucleus, a proton, does not exist alone in water, it exists as the hydronium ion, H 3 O +.

< and ))</

So a quasar at an absolute magnitude of − 25. 5 is 100 times brighter than our galaxy ( because ( 10 0. 4 )(− 20. 5 -(− 25. 5 ))

Bob then again encrypts the message as < code > E 2 ( E 1 ( M ))</ code > and sends it to Alice.

Now, Alice decrypts < code > E 2 ( E 1 ( M ))</ code > using < code > E 1 ()</ code >.

& Wilson -Dawson's magnolia ( SICHUAN ( CHINA ))

( SICHUAN ( CHINA ))

* Magnolia sprengeri Pampan -Sprenger's magnolia ( SICHUAN ( CHINA ))

( SICHUAN ( CHINA ))

( SE YUNNAN ( CHINA ))

( YUNNAN ( CHINA ))

( SICHUAN ( CHINA ))

( YUNNAN ( CHINA ))

( GUANGXI ( CHINA ))

( YUNNAN ( CHINA ))

( JIANGXI ( CHINA ))

( GUANGDONG ( CHINA ))

0.137 seconds.