When there are only two means to compare, the t-test and the ANOVA F-test are equivalent ; the relation between ANOVA and t is given by F = t < sup > 2 </ sup >.

The Ark of the Covenant ( ʾĀrôn Habbərî < u > t </ u >, modern pron.

) Then X < sub > i </ sub > is the value ( or realization ) produced by a given run of the process at time i. Suppose that the process is further known to have defined values for mean μ < sub > i </ sub > and variance σ < sub > i </ sub >< sup > 2 </ sup > for all times i. Then the definition of the autocorrelation between times s and t is

The rise time, t < sub > r </ sub >, of an amplifier is the time taken for the output to change from 10 % to 90 % of its final level when driven by a step input.

A quadratic Bézier curve is the path traced by the function B ( t ), given points P < sub > 0 </ sub >, P < sub > 1 </ sub >, and P < sub > 2 </ sub >,

Writing B < sub > P < sub > i </ sub >, P < sub > j </ sub >, P < sub > k </ sub ></ sub >( t ) for the quadratic Bézier curve defined by points P < sub > i </ sub >, P < sub > j </ sub >, and P < sub > k </ sub >, the cubic Bézier curve can be defined as a linear combination of two quadratic Bézier curves:

Note that t < sup > 0 </ sup > = 1, ( 1 − t )< sup > 0 </ sup > = 1, and that the binomial coefficient,, also expressed as or is:

Concordant with the above understanding, any assertion about the motion of a body boils down to a description over time in which the body under consideration is at t < sub > 1 </ sub > found in the vicinity of one group of " landmark " bodies and at some t < sub > 2 </ sub > is found in the vicinity of some other " landmark " body or bodies.

But they couldn ’ t chat together – they had not been introduced .</ poem >

The town's name is old as it shows the typical effects of the High German consonant shift ( b > p, t > ss ).

We replace r, the number of the stage from the end of the process, by t, a continuous variable which measures the `` distance '' of the point considered from the end of the process.

In German, words starting with sch-( constituting the German phoneme ) would be intercalated between words with initial sca-and sci-( all incidentally loanwords ) instead of this graphic cluster appearing after the letter s, as though it were a single letter — a lexicographical policy which would be de rigueur in a dictionary of Albanian, i. e. dh -, ë -, gj -, ll -, rr -, th -, xh-and zh-( all representing phonemes and considered separate single letters ) would follow the letters d, e, g, l, n, r, t, x and z respectively.

The problem of deciding whether a set of Horn clauses is satisfiable is in P. This problem can indeed be solved by a single step of the Unit propagation, which produces the single minimal model of the set of Horn clauses ( w. r. t.

The output of the system y ( t ) is fed back through a sensor measurement F to the reference value r ( t ).

If u ( t ) is the control signal sent to the system, y ( t ) is the measured output and r ( t ) is the desired output, and tracking error, a PID controller has the general form

Applying Lagrange's formula with the observation that Ω • r ( t ) = 0 at all times,

where vertical bars |...| denote the vector magnitude, which in the case of r ( t ) is simply the radius R of the path.

Let r ( t ) be a vector that describes the position of a point mass as a function of time.

Since we are assuming circular motion, let r ( t ) = R · u < sub > r </ sub >, where R is a constant ( the radius of the circle ) and u < sub > r </ sub > is the unit vector pointing from the origin to the point mass.

Polar unit vectors at two times t and t + dt for a particle with trajectory r ( t ); on the left the unit vectors u < sub > ρ </ sub > and u < sub > θ </ sub > at the two times are moved so their tails all meet, and are shown to trace an arc of a unit radius circle.

Their rotation in time dt is dθ, just the same angle as the rotation of the trajectory r ( t ).

The unit vector u < sub > ρ </ sub > travels with the particle and always points in the same direction as r ( t ).

By moving the unit vectors so their tails coincide, as seen in the circle at the left of the image above, it is seen that u < sub > ρ </ sub > and u < sub > θ </ sub > form a right-angled pair with tips on the unit circle that trace back and forth on the perimeter of this circle with the same angle θ ( t ) as r ( t ).

The distribution begins as a Dirac delta function, indicating that all the particles are located at the origin at time t = 0, and for increasing times they become flatter and flatter until the distribution becomes uniform in the asymptotic time limit.

Assuming that all the particles start from the origin at the initial time t = 0, the diffusion equation has the solution

This can be proved ( for integer t ) by using the formula for geometric series: ( using y = 1-x )

44. 6 days ), and < sup > 117m </ sup > Cd ( t < sub > ½ </ sub > = 3. 36 hours ).

To determine the unknown constants A and B, we need initial conditions, i. e. equalities that specify the state of the system at a given time ( usually t = 0 ).

For example, if we suppose at t = 0 the extension is a unit distance ( x = 1 ), and the particle is not moving ( dx / dt = 0 ).

Therefore x ( t ) = cos t. This is an example of simple harmonic motion.

x = ( c + ( c ^ 2-4 * k )^( 1 / 2 ))/( 2 * exp ( t *( c / 2-( c ^ 2-4 * k )^( 1 / 2 )/ 2 ))*( c ^ 2-4 * k )^( 1 / 2 )) -

The identity element is the constant map at the basepoint, and the inverse of a loop f is the loop g defined by g ( t ) = f ( 1 − t ).

which can be found by setting z = 1 / 2 in the reflection or duplication formulas, by using the relation to the beta function given below with x = y = 1 / 2, or simply by making the substitution u = √ t in the integral definition of the gamma function, resulting in a Gaussian integral.

A single realisation of three-dimensional Brownian motion for times 0 ≤ t ≤ 2

If not, the curve is subdivided parametrically into two segments, 0 ≤ t ≤ 0. 5 and 0. 5 ≤ t ≤ 1, and the same procedure is applied recursively to each half.

For given nonzero integers a and b there is a nonzero integer of minimal absolute value among all those of the form ax + by with x and y integers ; one can assume d > 0 by changing the signs of both s and t if necessary.

HTML (< u > H </ u > yper < u > t </ u > ext < u > M </ u > arkup < u > L </ u > anguage ) has been in use since 1991, but HTML 4. 0 ( December 1997 ) was the first standardized version where international characters were given reasonably complete treatment.

Here k is first-order rate constant having dimension 1 / time, ( t ) is concentration at a time t and < sub > 0 </ sub > is the initial concentration.

The equation gives the time derivative, represented by the dot, of a trajectory x ( t ) on the phase space starting at some point x < sub > 0 </ sub >.

If the vertex is at Af, and if the interior of C is on the left as one moves in the direction of increasing t, then every such corner can be found from the curve obtained by rotating C clockwise through 90-degrees about the vertex.

We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.

He taught French for a year at Eton, where Eric Blair ( later to become George Orwell ) and Stephen Runciman were among his pupils, but was remembered as an incompetent and hopeless teacher who couldn ’ t keep discipline.

You feel an intense fear when you think of dying, or you may think of it more often than normal, or can ’ t get it out of your mind.

Just a case or two, just one case more – the Prima Donna ’ s farewell performance won ’ t be in it with yours, Poirot.

Furthermore, Linda & Morris Tannehill argue that no coercive monopoly of force can arise on a truly free market and that a government's citizenry can ’ t desert them in favor of a competent protection and defense agency.

Since in oral languages the elements of sound are for the most part produced linearly in time ( that is, in a word like cat the a sound comes after the c sound, and the t sound comes after that ), they can generally be easily written in a linear ( one-dimensional ) writing system such as an alphabet.

Spiders, for instance, being relatively small, don ’ t fit the usual criterion for a threat in the animal kingdom where size is a factor, but nearly all species are venomous, and although rarely dangerous to humans, some species are dangerous.

However, Tiberius didn ’ t allow her to marry Saloninus, because of political implications the marriage could have.

* F. Littig, Andronikos von Rhodos, t. I München, 1890, t. II Erlangen, 1894, t. III Erlangen, 1895.