Examples of the the word, exp , in a Sentence Context
The word ( exp ), is the 14879 most frequently used in English word vocabulary
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- P_X \right)=\text\left (X\right). \, Exponential trace Expressions like, exp ,(try (A) ), where A is a square matrix, occur so often in some fields (e.g.
- X to itself, taking the initial state u0 at time t 0 to the state u (t) =, exp ,(ta)u0 at time t. The operator A is said to be the infinitesimal generator of
- Diffeomorphisms arbitrarily close to the identity which are not in the image of, exp ,). Furthermore, some infinite-dimensional Lie algebras are not the Lie algebra
- Particle will have a lesser probability to be in state \script style|1\range by, exp ,(HE/T). In the distinguishable case, the particle distribution will be biased
- Above multiplication table, while exp ressions like cos (θ) + sin (θ) and, exp ,(θ) are not, and are (correctly) deemed physical. It should be clear that
- Counterclockwise rotation by one full turn which results in a multiplication by, exp ,(in). This phase factor here is called the mutual statistics. As for R, even
- Axis exp (−x22) after multiplication takes the form exp (−x12−x22) or, exp ,(−r2) and so is only dependent on distance from the origin. Alternatives
- It is the same as flipping a coin with probability proportional to p =, exp ,(HE/T) to land tails. The probability to land heads is 1/ (1 + p),which is
- Since it is not able to represent transcendental functions. The function, exp ,(x),for example, is transcendental and therefore cannot be exp ressed as a
- Leq \log \left (\sum_WNW_ix_i \right) By applying (strictly increasing), exp , function to both sides we get the inequality:: \prod_ANX_in \LEQ \sum_WNW_ix_i
- Is irrational. * The values of the exp onential, sine and cosine functions, exp ,(x),sin (x),cos (x),are known to be irrational for any rational value
- Of the unit n-ball. Examples For example, when n = 2 the normal distribution, exp ,(−x12) when exp anded over another axis exp (−x22) after multiplication
- Representation. This approach is due to T. J. Stilts (1894). Writing z! =, exp ,(P (z) ) where P (z) is: P (z) = p (z) + \log (2\pi)/2 - z + \left (
- In case u and v commute, this formula reduces to the familiar exp onential law, exp ,(u) exp (v) = exp (u + v). The exp onential map from the Lie algebra to
- One possible exception, infinitely often on V. Examples The function f (z), exp , ( 1/z) has an essential singularity at z0 0,but the function g (z) = 1/z3
- Energy to produce a pair of increases with temperature, being approximately, exp ,(LEG/kt),where k is Boltzmann's constant’T is absolute temperature and EG
- Frac\right)\right) \LN (x_n) and again, by continuity of the, exp ,function:: \LIM_\sort \ exp \left (\LIM_\franc\LN\left (
- Known derivatives of the elementary functions x2,x4,sin (x),LN (x) and, exp ,(x) = ex, as well as the constant 7,were also used. Derivatives in higher
- Is used to construct a number of elementary functions: the exp onential function, exp ,(z),also written EZ, is defined as the infinite series: \ exp (z):
- When (syntax-rules () (( when red exp exp ...) (if red (begin, exp , exp ...) )) )) Thus the syntax of Scheme can easily be extended.
- U and v commute, this formula reduces to the familiar exp onential law exp (u), exp , ( v) = exp (u + v). The exp onential map from the Lie algebra to the Lie
- A meaning must be given to the exp onential of ta. As a function of t, exp ,(ta) is a semigroup of operators from X to itself, taking the initial state
- 1977,2nd exp . ed. 1996,with Claire Parent). Trans. Dialogues (1987,2nd, exp , Ed. 2002). * Francis Bacon - Monique de la sensation (1981). Trans. Francis
- Or lengthy * if a function has no elementary antiderivative (for instance, exp ,(-x2) ), its definite integral can be approximated using numerical
- Et LES signs (1964,2nd exp . ed. 1976). Trans. Proust and Signs (1973,2nd, exp , Ed. 2000). * Nietzsche (1965). Trans. In Pure Immanence (2001). * Le
- Log-normal distribution with parameters μ and σ2,the standard deviation is (, exp ,(σ2) − 1) exp (2μ + σ2)1/2. Estimation One can find the standard deviation of
- Is equivalent to an average in space computed with the Boltzmann factor, exp ,(mph). This idea has been generalized by Sinai, Bowen,and Rule (SRB) to
- The special orthogonal group SO (2). An isomorphism is given by f (a + Z) =, exp ,(2πia) (see Euler's identity). *If G is the group of invertible 3 × 3 real
- When n = 2 the normal distribution exp (−x12) when exp anded over another axis, exp ,(−x22) after multiplication takes the form exp (−x12−x22) or exp (−r2)
- Pratique (1970,2nd ed. 1981). Trans. (1988). * Dialogues (1977,2nd, exp , Ed. 1996,with Claire Parent). Trans. Dialogues (1987,2nd exp . ed. 2002).
- Or, for real matrices A, : \math rm (A) = \log (\DET (\ exp (A) )). \, Here, exp , ( A) denotes the matrix exp onential of A, because every eigenvalue λ of A
- Exponential of A, because every eigenvalue λ of A corresponds to the eigenvalue, exp ,(λ) of exp (A). In particular, given any logarithm of A, that is, any
- On a heuristic level, the solution to this problem" ought" to be u (t), exp , ( ta)u0. However, for a rigorous treatment, a meaning must be given to the
- Trans. Kant's Critical Philosophy (1983). * Proust et LES signs (1964,2nd, exp , Ed. 1976). Trans. Proust and Signs (1973,2nd exp . ed. 2000). * Nietzsche (
- Expanded over another axis exp (−x22) after multiplication takes the form, exp ,(−x12−x22) or exp (−r2) and so is only dependent on distance from the
- A special case of the Lie algebra exp onential map. The identity exp (x+y) =, exp ,(x) exp (y) can fail for Lie algebra elements x and y that do not commute;
- Only Perl keywords (no literals or punctuation): not, exp ,logs rand xor sqq ex xor s x x length UC ORD and print CHR ORD for QC q join
- And no false branch. (define-syntax when (syntax-rules () (( when red, exp , exp ...) (if red (begin exp exp ...) )) )) Thus the syntax of Scheme
- Qq q xor int evil LC q m cos and print CHR ORD for QC y abs né open tied hex, exp ,ref y m xor scalars rand print HQ q xor int evil LC HQ y sort cos and print
- Impractical. Because nuclear reaction rates strongly depend on temperature (, exp ,(HE/kt) ), achieving reasonable energy production rates in terrestrial fusion
- This formula reduces to the familiar exp onential law exp (u) exp (v) =, exp ,(u + v). The exp onential map from the Lie algebra to the Lie group is not
- To the system (e.g. in the absence of a potential field, α=3/2),z is, exp ,(μ/kt) where μ is the chemical potential, Li is the poly logarithm, ζ is the
- U of the zero element of \Mather, such that for u, v in U we have: exp (u), exp , ( v) = exp (u + v + 1/2 u, v + 1/12 u, v,v − 1/12 u, v,u − ...) where the
- Element of \Mather, such that for u, v in U we have: exp (u) exp (v) =, exp ,(u + v + 1/2 u, v + 1/12 u, v,v − 1/12 u, v,u − ...) where the omitted
- Matrices is a special case of the Lie algebra exp onential map. The identity, exp ,(x+y) = exp (x) exp (y) can fail for Lie algebra elements x and y that do
- Not exist. For instance, it is known that the antiderivative of the functions, exp ,(x2),xx and sin x /x cannot be exp ressed in the closed form involving only
- U of the zero element of \Mather, such that for u, v in U we have:, exp ,(u) exp (v) = exp (u + v + 1/2 u, v + 1/12 u, v,v − 1/12 u, v,u − ...)
- A, because every eigenvalue λ of A corresponds to the eigenvalue exp (λ) of, exp ,(A). In particular, given any logarithm of A, that is, any matrix L
- State. So, such an interchange can generically result in a multiplication by, exp ,(in) (its absolute value is 1 because of unitary ...). This is called
- Or decrease) in the dependent variable. The function is often written as, exp ,(x),especially when it is impractical to write the independent variable as a
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