Package combstruct | Textbooks
Package abm janitorial combstruct Nine functions related to the structures of combinatorial package contains combstruct:> with (combstruct): [allstructs, count, draw, finished, gfeqns, gfseries, gfsolve, iterstritcts, nextstruct] These functions are used to create random homogeneous objects belonging given combinatorial abm janitorial class. Limited to the examples of the application of these functions:> alltructs (Subset ({one, two})); {{}, {One, two}, {two}, abm janitorial {one}}> anstructs (Permutation ([x, y, z]), size = 2): [[x, y], [x, z], [y, x], [y, z], [z, x], [z, y]]> count (Subset ({l, 2,3})); 8> draw (Combiination (5), size = 4); {1,3,4,5}> count (Permutation ([a, a, b])):. 3> 1t: = iterstructs (Permutation ([a, a, b]), size = 2); it: = table ([finished = false, nextvalue = (pmc () ... endproc)])> draw (Partition (9)); [2,2,2,3]> allstructs (Composition (3), size = 2): [[2, l], [l, 2]] For a more complete abm janitorial acquaintance with these specific functions, refer to the Help system. The package of financial and economic functions of the finance package of financial and economic calculations opens command:> with (finance) [amortization, annuity, blackscholes, cashflows, effectiverate, futurevalue, growingannuity, growingperpetuity, levelcoupon, perpetuity, presentvalue, yieldtomaturity] This package is represented by a number of the above functions in two forms: function (args) finance [function] (args). Due to the rules for the arguments can be implemented almost all the known financial and economic calculations such as depreciation, abm janitorial savings and payments on deposits abm janitorial and so on.. In light of the challenges of the market economy, these functions are useful for solving adherents of everything without leaving the shell Maple. Yet it should be noted that the subtle intricacies in defining abm janitorial the financial and economic functions hamper abm janitorial their application. There are plenty of special economic abm janitorial and financial packages, such as "Accountancy 1C , which are better suited to our economic reality than the "arcane" and the pro-Western Maple 15. A complete list of features can be found in the help of this package. We restrict ourselves to mentioning some of the most characteristic features associated with the use of contributions:
annuity (cash, rate, nperiods) - calculation of the amount of money on deposit with an initial value of cash, accrued interest rate and the number of periods nperiods; cashflows (flows, rate) - the calculation of the total amount of the deposit on the list of investment flows, and the percentage of depreciation abm janitorial of money rate; futurevalue (amount, rate, nperiods) - calculation of the future value of the contribution at the initial investment amount, the percentage rate of charge and the number of periods nperiods; presentvalue (amount, rate, nperiods) - calculation abm janitorial of the initial deposit for the amount of accrued interest amount at the rate and number of deposits nperiods.
Since the formulas and notations in the financial and economic abm janitorial calculations in various literature sometimes differ significantly (especially strong differences between our and western literature), this can create serious errors in calculations. For example, in Maple formulas actually used not interest charges or depreciation of deposits, and the corresponding relative units, for example, 10% corresponds to 0.1 .. In the interest of our literature are usually given in an explicit form, that is, rate = 10 at 10% . It is necessary to monitor the magnitude and sign of rate, since it can be interpreted as the percentage of charges or a percentage depreciation of money on deposits, which corresponds to its various marks. Calculations of this kind for Maple 15 are simple enough so that even a novice user can create their own functions for these calculations understandably him and tested formulas. It should be noted, abm janitorial however, that using a character reference function parameters, it is easy to conclude those formulas that the system uses Maple, and compare them with their formulas. In the case that the use of Maple functions possible and preferable. NOTE: In general, the use of Maple 7 as a system with the symbolic and exact arithmetic is very preferably in the financial, economic and statistical calculations, since it provides a fundamentally improve the accuracy and stability of such calculations.
Package abm janitorial orthogonal polynomials Orthogonal polynomials orthopoly (polynomials) are widely used in various mathematical calculations. In particular, they are widely abm janitorial used in the algorithms of the interpolation and extrapolation approximating various functional relationships. The package orthopoly specified in the function:> with (orthopoly); [G, H, L, P, T, U] One character names of these functions are identified with the first letter in the name of orthogonal polynomials. Contrary to the accepted rules of Maple 15, capital letters in the names of these polynomials do not point to the inertia of these functions - all of them are immediately evaluated. In this section, the function of this package will be fully described. Note the definition of these functions:
G (n, a, x) - Gegenbauer polynomial (of family ultrasferi
Package abm janitorial combstruct Nine functions related to the structures of combinatorial package contains combstruct:> with (combstruct): [allstructs, count, draw, finished, gfeqns, gfseries, gfsolve, iterstritcts, nextstruct] These functions are used to create random homogeneous objects belonging given combinatorial abm janitorial class. Limited to the examples of the application of these functions:> alltructs (Subset ({one, two})); {{}, {One, two}, {two}, abm janitorial {one}}> anstructs (Permutation ([x, y, z]), size = 2): [[x, y], [x, z], [y, x], [y, z], [z, x], [z, y]]> count (Subset ({l, 2,3})); 8> draw (Combiination (5), size = 4); {1,3,4,5}> count (Permutation ([a, a, b])):. 3> 1t: = iterstructs (Permutation ([a, a, b]), size = 2); it: = table ([finished = false, nextvalue = (pmc () ... endproc)])> draw (Partition (9)); [2,2,2,3]> allstructs (Composition (3), size = 2): [[2, l], [l, 2]] For a more complete abm janitorial acquaintance with these specific functions, refer to the Help system. The package of financial and economic functions of the finance package of financial and economic calculations opens command:> with (finance) [amortization, annuity, blackscholes, cashflows, effectiverate, futurevalue, growingannuity, growingperpetuity, levelcoupon, perpetuity, presentvalue, yieldtomaturity] This package is represented by a number of the above functions in two forms: function (args) finance [function] (args). Due to the rules for the arguments can be implemented almost all the known financial and economic calculations such as depreciation, abm janitorial savings and payments on deposits abm janitorial and so on.. In light of the challenges of the market economy, these functions are useful for solving adherents of everything without leaving the shell Maple. Yet it should be noted that the subtle intricacies in defining abm janitorial the financial and economic functions hamper abm janitorial their application. There are plenty of special economic abm janitorial and financial packages, such as "Accountancy 1C , which are better suited to our economic reality than the "arcane" and the pro-Western Maple 15. A complete list of features can be found in the help of this package. We restrict ourselves to mentioning some of the most characteristic features associated with the use of contributions:
annuity (cash, rate, nperiods) - calculation of the amount of money on deposit with an initial value of cash, accrued interest rate and the number of periods nperiods; cashflows (flows, rate) - the calculation of the total amount of the deposit on the list of investment flows, and the percentage of depreciation abm janitorial of money rate; futurevalue (amount, rate, nperiods) - calculation of the future value of the contribution at the initial investment amount, the percentage rate of charge and the number of periods nperiods; presentvalue (amount, rate, nperiods) - calculation abm janitorial of the initial deposit for the amount of accrued interest amount at the rate and number of deposits nperiods.
Since the formulas and notations in the financial and economic abm janitorial calculations in various literature sometimes differ significantly (especially strong differences between our and western literature), this can create serious errors in calculations. For example, in Maple formulas actually used not interest charges or depreciation of deposits, and the corresponding relative units, for example, 10% corresponds to 0.1 .. In the interest of our literature are usually given in an explicit form, that is, rate = 10 at 10% . It is necessary to monitor the magnitude and sign of rate, since it can be interpreted as the percentage of charges or a percentage depreciation of money on deposits, which corresponds to its various marks. Calculations of this kind for Maple 15 are simple enough so that even a novice user can create their own functions for these calculations understandably him and tested formulas. It should be noted, abm janitorial however, that using a character reference function parameters, it is easy to conclude those formulas that the system uses Maple, and compare them with their formulas. In the case that the use of Maple functions possible and preferable. NOTE: In general, the use of Maple 7 as a system with the symbolic and exact arithmetic is very preferably in the financial, economic and statistical calculations, since it provides a fundamentally improve the accuracy and stability of such calculations.
Package abm janitorial orthogonal polynomials Orthogonal polynomials orthopoly (polynomials) are widely used in various mathematical calculations. In particular, they are widely abm janitorial used in the algorithms of the interpolation and extrapolation approximating various functional relationships. The package orthopoly specified in the function:> with (orthopoly); [G, H, L, P, T, U] One character names of these functions are identified with the first letter in the name of orthogonal polynomials. Contrary to the accepted rules of Maple 15, capital letters in the names of these polynomials do not point to the inertia of these functions - all of them are immediately evaluated. In this section, the function of this package will be fully described. Note the definition of these functions:
G (n, a, x) - Gegenbauer polynomial (of family ultrasferi
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