depending on initial conditions vs depending on the initial conditions

Both phrases are correct, but they are used in different contexts. 'Depending on initial conditions' is more general and can be used in a variety of situations, while 'depending on the initial conditions' is more specific and refers to a particular set of conditions. The choice between the two depends on the level of specificity needed in the context.

Last updated: March 31, 2024 • 808 views

This phrase is correct and commonly used in English.

"depending on initial conditions"

This phrase is a general statement indicating that something varies based on the starting conditions. It is used in a wide range of contexts.

Examples:

The outcome of the experiment can change depending on initial conditions.
The success of the project is determined by factors depending on initial conditions.

Show examples from the web [+]

Depending on the internal volume of the pumping system, the next injection can be made 15 minutes after reaching the initial conditions.
The size of the interest rate cuts depended on initial conditions such as inflation rates and perceived risk premia.
Depending on initial levels and NH3 slip.
A deterministic equation with an outcome sensitive to initial conditions.
Which basically means certain nonlinear, dynamical systems, extremely sensitive to initial conditions...
This amount could be increased depending on budget availability.
Chemical-specific considerations may necessitate a higher dose depending on regulatory needs.
Speed limit restriction depending on the area.
These causes are mainly depending on regulatory failures.
Could be minutes depending on the concentration.
There are people depending on you.
The process can vary depending on temperature and conditions.
Or exited, depending on your reference.
These boxes may be omitted depending on noise certification standard.
The initial conditions for deflection are:
A registered trade repository shall comply at all times with the initial conditions for registration.
At the same time, to restart an economy's growth and employment engines, other measures are needed, and vary somewhat across countries, owing to different initial conditions.
It should not be possible to circumvent the initial conditions for authorisation by acquiring a majority holding in the target entity.
However, this division into laws of evolution and initial conditions depends on time and space being separate and distinct.
However, this division into laws of evolution and initial conditions depends on time and space being separate and distinct.

Alternatives:

depending on the initial conditions
based on initial conditions
hinging on initial conditions
contingent upon initial conditions
varying with initial conditions

This phrase is correct and commonly used in English.

"depending on the initial conditions"

This phrase is more specific and refers to a particular set of starting conditions. It is used when a specific set of conditions is being emphasized.

Examples:

The success of the experiment is dependent on the initial conditions set by the researchers.
The model's accuracy varies depending on the initial conditions provided.

Show examples from the web [+]

Depending on the internal volume of the pumping system, the next injection can be made 15 minutes after reaching the initial conditions.
Thereafter, treatment can be resumed as appropriate depending on the initial severity of the event.
Thereafter, treatment can be resumed as appropriate at a reduced dose depending on the initial severity of the event.
Mr President, my group had delivered a basically critical judgment on the initial version of the Barroso Commission.
Changes introduced by the rapporteur, Mr Ribeiro e Castro, have improved on the initial proposal.
They were listed on the initial filing before Rivers took over the case.
Yes, we collaborated on the initial encryption codes.
The ration is based on the initial total fish weight for each test vessel.
The initial conditions for deflection are:
A registered trade repository shall comply at all times with the initial conditions for registration.
It should not be possible to circumvent the initial conditions for authorisation by acquiring a majority holding in the target entity.
The initial conditions at the point of first contact with the ground shall be defined using the change of potential energy from the unstable equilibrium position.
A film will not normally start to yield a return on the initial investment until a million cinemagoers have paid to watch it.
This working method enables private investors to participate in individual projects, which reduces financial risk and ensures a return on the initial investment [21].
Deciding on the initial design and development of the SSP
It has also reached a political agreement - and we congratulate them on this - on the initial proposals for civil cooperation.
Asks therefore to be consulted on the initial Commission proposal;
There is broad agreement between the institutions on the initial scope of the centre.
This is why we are tabling several amendments, which seek to improve on the initial proposal.
Decisions on the initial application and competing applications will be taken by 28 September 2008 at the latest.

Alternatives:

depending on initial conditions
based on the initial conditions
hinging on the initial conditions
contingent upon the initial conditions
varying with the initial conditions

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depending on initial conditions vs depending on the initial conditions