If your child is under 19 or is a student you may also claim an exemption for him if he qualifies as your dependent, even though he earns $600 or more.

If one component changes another component's vapor pressure, or if the volatility of a component is dependent on its percentage in the mixture, the law will fail.

If not, the null hypothesis is supported ( or, more correctly, not rejected ), meaning no effect of the independent variable ( s ) was observed on the dependent variable ( s ).

If the under-twenty group and those above the age of sixty are regarded as a dependent group, the social, political, and economic implications for the 1990s and beyond are as grave for Ghana as they are for sub-Saharan Africa as a whole.

If an external time dependent force is present, the harmonic oscillator is described as a driven oscillator.

If too large a dose of opioid antagonist is given to a dependent patient, it will result in withdrawal symptoms ( possibly severe ).

If, however, a statute which did not itself contain any limitation is to be governed by another which is temporary only, the former will also be temporary and dependent upon the existence of the latter.

If y is dependent on x, then it is sufficient to take the limit where only Δx approaches zero.

If generation of phenotypes is conditional, and dependent on external or environmental inputs, evolution can proceed by a " phenotype-first " route, with genetic change following, rather than initiating, the formation of morphological and other phenotypic novelties.

If the Battle of Solebay had not prevented it, they would have been able to force the Dutch population to surrender by starvation, as it was dependent for its survival on supplies of Baltic grain.

Bertrand Russell discussed the paradox briefly in § 38 of The Principles of Mathematics ( 1903 ), distinguishing between implication ( associated with the form " if p, then q "), which he held to be a relation between unasserted propositions, and inference ( associated with the form " p, therefore q "), which he held to be a relation between asserted propositions ; having made this distinction, Russell could deny that the Tortoise's attempt to treat inferring Z from A and B is equivalent to, or dependent on, agreeing to the hypothetical " If A and B are true, then Z is true.

If they are interest-relative, then they must be dependent on the existence of minds which are capable of having interested perspectives.

If minds are wholly dependent on brains, and brains on biochemistry, and biochemistry ( in the long run ) on the meaningless flux of the atoms, I cannot understand how the thought of those minds should have any more significance than the sound of the wind in the trees.

If, however, salutary acts can in virtue of the Divine justice give the right to an eternal reward, this is possible only because they themselves have their root in gratuitous grace, and consequently are of their very nature dependent ultimately on grace, as the Council of Trent emphatically declares ( Sess.

If an identically distributed sequence is independent, then the sequence is exchangeable ; however, the converse is false --- there exist exchangeable random variables that are statistically dependent, for example the Polya urn model.

If there are dependent sources in the circuit, another method must be used such as connecting a test source across A and B and calculating the voltage across or current through the test source.

If X is a domain of x and P ( x ) is a predicate dependent on x, then the universal proposition is expressed in Boolean algebra terms as

If the latter is chosen, then morality is no longer dependent on God, defeating the divine command theory.

If the material is destined for vinyl release, additional processing, such as dynamic range reduction, frequency dependent stereo – to – mono fold-down and equalization, may be applied to compensate for the limitations of that medium.

If the functions f < sub > i </ sub > are linearly dependent, then so are the columns of the Wronskian as differentiation is a linear operation, so the Wronskian vanishes.

For n functions of several variables, a generalized Wronskian is the determinant of an n by n matrix with entries D < sub > i </ sub >( f < sub > j </ sub >) ( with 0 ≤ i < n ), where each D < sub > i </ sub > is some constant coefficient linear partial differential operator of order i. If the functions are linearly dependent then all generalized Wronskians vanish.

* If you look for the self within the body, you can not find it there, since the body itself is dependent upon its parts.

* If you look for the self within the mind, you can not find it there, since the mind can only be said to exist in relation to external objects ; therefore the mind is also dependent upon causes and conditions outside of itself.

If the disease is introduced in agroforestry areas dependent upon Monterey Pine, such as New Zealand, it could have catastrophic effects in those countries as well.

If the response variable is expected to follow a parametric family of probability distributions, then the statistician may specify ( in the protocol for the experiment or observational study ) that the responses be transformed to stabilize the variance.

If we define the function f ( n ) = A ( n, n ), which increases both m and n at the same time, we have a function of one variable that dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi-and superfactorial functions, and even functions defined using Knuth's up-arrow notation ( except when the indexed up-arrow is used ).

If the heuristic can't find the correct setting, the variable is assigned randomly.

If X is Cauchy distributed with median μ and scale parameter γ, then the complex variable

If is a wrapped Cauchy distribution with the parameter representing the parameters of the corresponding " unwrapped " Cauchy distribution in the variable y where, then

If the density of the chain is variable then the analysis above can be adapted to produce equations for the curve given the density, or given the curve to find the density.

#: If, replace in above rules with some new variable and add rule.

If a Diophantine equation has as an additional variable or variables occurring as exponents, it is an exponential Diophantine equation.

If I told you my son's age, then there would no longer be two unknowns ( variables ), and the problem becomes a linear equation with just one variable, that can be solved as described above.

The evidence was compiled by W de Sitter ( 1927 ) who wrote " If we accept this hypothesis, then the ' astronomical time ', given by the earth's rotation, and used in all practical astronomical computations, differs from the ' uniform ' or ' Newtonian ' time, which is defined as the independent variable of the equations of celestial mechanics ".

If the primary variable is mass fraction (, given, for example, in ), then the equation changes to:

If X is a positive random variable and q > 0 then for all ε > 0

If our freshness condition is not met, then we may simply alpha-rename with a suitably fresh variable.

# If x is a variable, then x ∈ Λ

# If x is a variable and M ∈ Λ, then ( λx. M ) ∈ Λ

* If the price is between average total cost and average variable cost at the profit-maximizing output, then the firm is said to be in a loss-minimizing condition.

* If the price is below average variable cost at the profit-maximizing output, the firm should go into shutdown.

If the generalized coordinates are represented as a vector and time differentiation is represented by a dot over the variable, then the equations of motion ( known as the Lagrange or Euler – Lagrange equations ) are a set of equations:

If the revenue the firm is receiving is greater than its total variable cost ( R > VC ) then the firm is covering all variable cost plus there is additional revenue (" contribution "), which can be applied to fixed costs.

If the type declaration on the first line were omitted, the program would trigger an error on compilation, as the variable " p " would not be defined.

If the negated query can be refuted, it follows that the query, with the appropriate variable bindings in place, is a logical consequence of the program.