Consider " Oh that I had a Thousand Voices " (" O daß ich tausend Zungen hätte ") by German, Johann Mentzer Verse 2: " Ye forest leaves so green and tender, that dance for joy in summer air …" or " O Day Full of Grace " (" Den signede Dag ") by Dane, Nikolai Grundtvig verse 3: " Yea were every tree endowed with speech and every leaflet singing …".

Consider the following noise free signal:

Consider two radio transmitters located at a distance of 300 km from each other, which means the radio signal from one will take 1 millisecond to reach the other.

Consider an input signal that contains three frequency components at,, and ; which may be expressed as

Consider a system composed by cascaded non interacting blocks, each having a rise time and no overshoot in their step response: suppose also that the input signal of the first block has a rise time whose value is.

Consider a discrete signal on a radian frequency digital frequency range.

Consider a discrete signal on a radian frequency digital frequency range.

Consider a received discrete signal,, of independent samples that consists of an unknown constant with additive white Gaussian noise ( AWGN ) with known variance ( i. e., ).

Consider a polygon P and a triangle T, with one edge in common with P. Assume Pick's theorem is true for both P and T separately ; we want to show that it is also true to the polygon PT obtained by adding T to P. Since P and T share an edge, all the boundary points along the edge in common are merged to interior points, except for the two endpoints of the edge, which are merged to boundary points.

Consider a dissident in a totalitarian state who wishes to share a modified bit of software with fellow dissidents, but does not wish to reveal the identity of the modifier, or directly reveal the modifications themselves, or even possession of the program, to the government.

Consider, for example, that for the period of January to September 2011, the market share of Google's Chrome browser increased from 15 % to 23. 5 %, and Safari maintained a 5-6 % share while use of both Internet Explorer and Mozilla decreased significantly.

Consider a company with 1, 000, 000 shares, a convertible loan note for $ 1, 000, 000 converting at 75 % of the next round price, warrants for 200, 000 shares at $ 10 a share, and a granted ESOP of 200, 000 shares at $ 4 per share.

Consider two ISPs, A and B, which each have a presence in New York, connected by a fast link with latency 5 ms ; and which each have a presence in London connected by a 5 ms link.

Consider a link L in M, which is a collection of l disjoint loops.

Consider a network as a graph where each edge ( i. e. link ) has an associated cost of transmission, privately known to the owner of the link.

Consider adopting a system of holidays in which time off is granted with an eye to minimum inconvenience to the operation of the plant.

Consider a shear field with a height of H and a cross-sectional area of A opposed by a manometer with a height of H ( referred to the same base as H ) and a cross-sectional area of A.

Consider the assembly of a car: assume that certain steps in the assembly line are to install the engine, install the hood, and install the wheels ( in that order, with arbitrary interstitial steps ); only one of these steps can be done at a time.

* Consider a set with three elements, A, B, and C. The following operation:

Consider a complete orthonormal system ( basis ),, for a Hilbert space H, with respect to the norm from an inner product.

Consider the real line with its ordinary topology.

( Consider 1 / 0, which is defined with the value of infinity, vs. 0 / 0, which is undefined.

Consider a physical system that acts as a linear filter, such as a system of springs and masses, or an analog electronic circuit that includes capacitors and / or inductors ( along with other linear components such as resistors and amplifiers ).

Fundamental group: Consider the category of pointed topological spaces, i. e. topological spaces with distinguished points.

Consider a collection of particles performing a random walk in one dimension with length scale and time scale.

< li > Consider the group ( Z < sub > 6 </ sub >, +), the integers from 0 to 5 with addition modulo 6.

* The Infinite Moment ( 1961 ) ( US edition of Consider Her Ways, with two stories dropped, two others added )

Consider the following example ( in Kwakw ' ala, sentences begin with what corresponds to an English verb ):

Consider a test apparatus consisting of a closed and well insulated cylinder equipped with a piston.

Consider two noninteracting systems and, with respective Hilbert spaces and.

Consider as above systems and each with a Hilbert space,.

Consider the following: if the typical user is searching with term " A ", would they also want resources tagged with term " B "?

Again we start with a C < sup >∞</ sup > manifold, M, and a point, x, in M. Consider the ideal, I, in C < sup >∞</ sup >( M ) consisting of all functions, ƒ, such that ƒ ( x ) = 0.

Consider a linear differential equation with constant coefficients

Consider the time series of an independent variable and a dependent variable, with observations sampled at discrete times.

Consider a ROM with m inputs ( the address lines ) and n outputs ( the data lines ).

Consider the set of all trial probability distributions that encode the prior data.

Consider the data set:

Consider a complex, real-world problem, like those of marketing or making policies for a nation, where there are many governing factors, and most of them cannot be expressed as numerical time series data, as one would like to have for building mathematical models.

Consider the general problem of inferring a distribution for a parameter θ given some datum or data x.

Consider fitting a line: for each data point the product of the vertical and horizontal residuals equals twice the area of the triangle formed by the residual lines and the fitted line.

Consider, for instance, a function that constructs a tuple representing a data item.

Consider estimation of based on data i. i. d.

Consider the data to be a single observation from an absolutely continuous distribution on

Consider the data set consisting of: