the laplace transform of the function vs the laplace transform of function

Both phrases are correct, but they are used in different contexts. The phrase 'the Laplace transform of the function' is used when referring to a specific function, while 'the Laplace transform of function' is used in a more general sense.

Last updated: March 23, 2024 • 757 views

This phrase is correct and commonly used when referring to a specific function being transformed using the Laplace transform.

"the laplace transform of the function "

This phrase is used when you want to specify a particular function that is being transformed using the Laplace transform.

Show examples from the web [+]

Sobel's filter detects horizontal and vertical edges separately on a scaled image. Color images are turned into RGB scaled images. As with the Laplace filter, the result is a transparent image with black lines and some rest of colors.
Selects the function in the Functions sidebar for editing.
Wrong number of arguments passed into the function.
Technical compatibility includes the functions, interfaces and performances required to achieve interoperability.
The Fourier transform of the sound signal must be used in measuring the emitted-sound spectrum.
Returns the function expression of the function with the ID id. If the function not exists, an empty string is returned instead.
The function of multipliers in credit management and the function of JEREMIE
2.5 The function of multipliers in credit management and the function of JEREMIE
Sets the line width of the function with the ID id to linewidth. True is returned if the function exists, otherwise false.
We must respond by combining the functions of the High Representative with the functions of the Commissioners for Development and Humanitarian Aid.
But if the function was initiated mid-flight...
Third, the definition serves well the function of steering long-term inflation expectations.
Member States shall designate one or more competent bodies with the function of regulatory authorities.
I'm interested in surgical procedure and the function of organs.
Dawn is dressed appropriately for the function that she is attending.
That's the function of a journalist.
The functions exerced shall not give rise to any remuneration.
16.3. discharge the functions assigned by the Executive Committee.
I promised to officiate the function.
All the functions I have covered today Will be included in the final exam.

Alternatives:

the Laplace transform of a function
the function's Laplace transform

This phrase is also correct but is used in a more general sense when discussing the concept of transforming functions using the Laplace transform.

"the laplace transform of function "

This phrase is used when talking about the general process of transforming functions using the Laplace transform, without specifying a particular function.

Show examples from the web [+]

Sobel's filter detects horizontal and vertical edges separately on a scaled image. Color images are turned into RGB scaled images. As with the Laplace filter, the result is a transparent image with black lines and some rest of colors.
Another problem is the overlapping of functions.
The Fourier transform of the sound signal must be used in measuring the emitted-sound spectrum.
It's a perfect combination of function and fashion.
AGS seems burnt and out of function.
Logic is the foundation of function.
He should have return of function after a lot of therapy.
Unclear definition, allocation and separation of functions
attestation of functions for non-Swiss scientific staff of CERN,
The current text already contains specifications which limit the risk of function creep.
The effect of leflunomide on improvement of function and on reduction of skin lesions was modest.
Attach a detailed organisation chart including a brief description of functions.
Accordingly, transfers of function only are not covered by the directive.
There are genuine risks of function creep, fraud and misuse (or abuse).
Outsourcing of functions should be approved by the risk committee of the CCP.
Portugal has confirmed that the principle of separation of functions among and within the relevant entities will be respected.
This should result in better efficiency of resources, thus avoiding duplication of functions.
arrangements ensuring appropriate separation of functions;
Brake warning light ON with loss of function
The Function Profile is a list of functions showing inclusive and exclusive cost, call count, name and position of functions.

Alternatives:

the Laplace transform of functions
transforming functions using the Laplace transform

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the laplace transform of the function vs the laplace transform of function