All numbers which can be obtained from the integers using a finite number of integer additions, subtractions, multiplications, divisions, and taking nth roots ( where n is a positive integer ) are algebraic.

All real transcendental numbers are irrational, since all rational numbers are algebraic.

All of the standard calculations for time value of money derive from the most basic algebraic expression for the present value of a future sum, " discounted " to the present by an amount equal to the time value of money.

All these conjectures can be formulated for more general fields in place of Q: algebraic number fields ( the original and most important case ), local fields, and function fields ( finite extensions of F < sub > p </ sub >( t ) where p is a prime and F < sub > p </ sub >( t ) is the field of rational functions over the finite field with p elements ).

All nth roots of integers, or in fact of any algebraic number, are algebraic.

All algebraic relations and differential equations observed by the real γ ( s, z ) hold for its holomorphic counterpart as well.

All rational numbers are algebraic numbers, while not all irrational numbers or complex numbers are.

All of these numbers are solutions to polynomials of degree ≥ 5.

All of these define the relative numbers of particles in a system as decreasing exponential functions of energy ( at the particle level ) over kT, with k representing the Boltzmann constant and T representing the temperature observed at the macroscopic level.

All are local numbers.

All further updates and bug fixes have been dynamically delivered via Steam, without any specific new version numbers.

All numbers in the Expansive Classification are ( or should be ) shelved as if in decimal order.

All numbers go into the X register first.

All the while Hengist continues inviting over yet more ships, adding to his numbers daily.

All numbers in ISO 9660 file systems except the single byte value used for the GMT offset are unsigned numbers.

Films about performers which incorporated gritty drama and musical numbers interwoven as a diegetic part of the storyline were produced, such as All That Jazz, Saturday Night Fever, and New York, New York.

All non-numeric subscripts are stored in alphabetical order following the numbers.

All programming languages have some primitive building blocks for the description of data and the processes or transformations applied to them ( like the addition of two numbers or the selection of an item from a collection ).

All elements from atomic numbers 1 ( hydrogen ) to 118 ( ununoctium ) have been synthesized.

All Power Macs prior to 1997 used PowerPC 60x-series processors, and 4-digit model numbers ( e. g. Power Mac 8600 ).

In addition to Chicago blues numbers, the Rolling Stones also covered songs by Chuck Berry and Bobby and Shirley Womack, with the latter's " It's All Over Now ", giving them their first UK number one in 1964.

All these numbers had not been seen since the end of U. S. involvement in the Vietnam War in 1973.

All modern machines are designed using pseudo random number generators (" PRNGs "), which are constantly generating random numbers, at a rate of hundreds or perhaps thousands per second.

# All players play from the same set of numbers as the numbers are announced.

All choral numbers were cut to focus more on the primary characters.

All are transuranium elements and have atomic numbers of 99 and higher.

All the drivers knew about the plates and they also knew about the big floppy straw hat with shredded edges, the kind natives in travel ads wear when they are out joyfully chopping cane.

When the Know-nothings get control, it will read, All men are created equal except Negroes and foreigners and Catholics.

All artistic and mythological representations, therefore, are `` imitations of imitations '' and are completely superseded by the truth value of `` dialectic '', the proper use of the inquiring intellect.

All four types of message listed in Table 1 are permitted, although decorum and cocktail tradition require holding the commands to a minimum, while exclamations having complimentary intonations are more than customarily encouraged.

All across the South there are signs that racial violence is finding less approval among whites who themselves would never take active part but might once have shown a tolerant attitude toward it.

Of straight dramas, there are All The Way Home, which owes much of its poetic power to the James Agee novel, A Death In The Family ; ;

All he does is to bullshit with his squad, and they are the stupidest bastards around.

All payments authorized under Section 7 of this Title shall be disbursed from the proper fund, as the case may be, and all amounts covered into the Treasury to the credit of the aforesaid funds are hereby permanently appropriated for the making of the payments authorized by Section 7 of this Title.

All students are invited to participate in any of the musical organizations for which they qualify.

All the bars are cut from Af brass.

All are well distributed, not crowded together near the stern.

All frames are butted at the joints and 3/8-inch plywood gussets are glued and nailed on each side of each joint, again using the one-inch, No. 12 nails.

All bottom battens are two inches wide.

All bottles must be kept a safe distance away from the pool and drinking glasses are banned in favor of plastic or metal cups.

All the additives listed here are sanctioned for use by the Food and Drug Administration of the federal government.

All model cars are not available in all countries.

All of these considerations are of critical importance in considering defense and medical management.

All political interests supported electoral planning, although there are some signs that the inherent uncertainties of a popular judgment led to some procrastination.

All information is carefully appraised and uncertain facts are designated by ( '?'.

All the other force vectors are derived from these.

All these evaluations are then totted up and tabulated, by adding up the Hits and Significants, with the weight placed on those in the sitter's own reading.

All of these activities are geared to a top-priority communication system, and practice tests have been held to assure that everything will work smoothly.