Sentence examples for here l f from inspiring English sources

Here, l f and l h are the lengths of the forearm and the hand, respectively.

here L F 0 2 ( [ − τ M, 0 ], R ) denotes the family of all F 0 -measurable C ( [ − τ M, 0 ], R ) -valued random variables satisfying sup − τ M ≤ s ≤ 0 E { ∥ ψ i ( s ) ∥ 2 } < ∞.

Here, l - f(x) denotes the left limit of the function f at the point x, l - f ( x ) = lim t → x - f ( t ).

Here l − f denotes the left limit of the function f at the point x.

Here, f l and f k are the frequency values in correlating two spectral components.

The above equation can be rewritten in matrix notation as: (2) F = arg  min F t r ((F - Y ) T H (F - Y ) ) + t r (F T L F ) Here, Y = [ y1, y2,⋯, y n ], F = [ f1, f2,⋯, f n ] ∈ R n × C, H is an n × n diagonal matrix with H ii = 1 if i ≤ l, and H ii = 0 otherwise, L = (I - W ) T (I - W) and I is an n × n identity matrix, tr and T are the matrix trace and transpose operators, respectively.

In [8, 9] and [10], similarly, the p -adic fermionic integration on Z p is defined by Kim as follows: I - q f = lim q → - q I q f = ∫ Z p f x d μ - q x. (4 By (4), we have the following well-known integral equation: q n I - q f n + - 1 n - 1 I - q f = 2 q ∑ l = 0 n - 1 - 1 n - 1 - l q l f l (5)Here f n x : = f x + n.

Here and hereafter, we use ℒ for L ( f ) for brevity.

Here it is necessary to assume that φ ( s ) ∈ L F 0 2 ( N [ − τ M, 0 ], R ).

Then l F = inf n ≥ 1 f n and r F = sup n ≥ 1 f n (here the inf and sup operations are taken componentwise).

The letters e, l, f, and i, for example, can become "file" or "life".