Package sage :: Package calculus :: Module calculus :: Class Function_exp
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Class Function_exp

source code

                      object --+                        
                               |                        
structure.sage_object.SageObject --+                    
                                   |                    
           structure.element.Element --+                
                                       |                
         structure.element.ModuleElement --+            
                                           |            
               structure.element.RingElement --+        
                                               |        
                              SymbolicExpression --+    
                                                   |    
                                   PrimitiveFunction --+
                                                       |
                                                      Function_exp


The exponential function, $\exp(x) = e^x$.

EXAMPLES:
    sage: exp(-1)
    e^-1
    sage: exp(2)
    e^2
    sage: exp(x^2 + log(x))
    x*e^x^2
    sage: exp(2.5)
    12.1824939607035
    sage: exp(float(2.5))         # random low order bits
    12.182493960703473
    sage: exp(RDF('2.5'))
    12.1824939607



Instance Methods [hide private]
 
__init__(self) source code
 
_repr_(self, simplify=True)
File: sage/structure/element.pyx (starting at line 291)
source code
 
_latex_(self) source code
 
__call__(self, x) source code
 
_approx_(self, x) source code

Inherited from PrimitiveFunction: _complex_approx_, number_of_arguments, plot, tex_needs_braces

Inherited from SymbolicExpression: __abs__, __cmp__, __eq__, __ge__, __gt__, __hash__, __int__, __le__, __long__, __lt__, __ne__, __nonzero__, __pow__, __str__, _add_, _axiom_init_, _complex_double_, _complex_mpfr_field_, _div_, _fast_float_, _gap_init_, _gp_init_, _integer_, _kash_init_, _macaulay2_init_, _magma_init_, _maple_init_, _mathematica_init_, _maxima_, _maxima_init_, _mpfr_, _mul_, _neg_, _octave_init_, _pari_init_, _polynomial_, _rational_, _real_double_, _real_rqdf_, _richcmp_, _singular_init_, _sub_, _sys_init_, arguments, coeff, coefficient, coefficients, coeffs, combine, conjugate, default_variable, denominator, derivative, diff, differentiate, display2d, exp_simplify, expand, expand_rational, expand_trig, factor, factor_list, find_maximum_on_interval, find_minimum_on_interval, find_root, full_simplify, function, gradient, hessian, imag, integral, integrate, inverse_laplace, laplace, limit, log_simplify, minpoly, n, nintegral, nintegrate, norm, numerator, numerical_approx, partial_fraction, poly, polynomial, power_series, radical_simplify, rational_expand, rational_simplify, real, roots, show, simplify, simplify_exp, simplify_full, simplify_log, simplify_radical, simplify_rational, simplify_trig, solve, subs, subs_expr, substitute, substitute_over_ring, taylor, trig_expand, trig_simplify, variables

Inherited from structure.element.RingElement: __div__, __idiv__, __imul__, __invert__, __mul__, __new__, __pos__, __rdiv__, __rmul__, __rpow__, __rtruediv__, __truediv__, _idiv_, _imul_, abs, additive_order, is_nilpotent, is_one, is_unit, multiplicative_order, order

Inherited from structure.element.ModuleElement: __add__, __iadd__, __isub__, __neg__, __radd__, __rsub__, __sub__, _iadd_, _ilmul_, _isub_, _lmul_, _rmul_

Inherited from structure.element.Element: __reduce__, __rxor__, __xor__, _cmp_, _im_gens_, base_base_extend, base_base_extend_canonical_sym, base_extend, base_extend_canonical, base_extend_canonical_sym, base_extend_recursive, base_ring, category, is_zero, parent

Inherited from structure.sage_object.SageObject: __repr__, _axiom_, _gap_, _gp_, _interface_, _interface_init_, _interface_is_cached_, _kash_, _macaulay2_, _magma_, _maple_, _mathematica_, _octave_, _pari_, _r_init_, _sage_, _singular_, db, dump, dumps, rename, reset_name, save, version

Inherited from object: __delattr__, __getattribute__, __reduce_ex__, __setattr__

Properties [hide private]

Inherited from object: __class__

Method Details [hide private]

__init__(self)
(Constructor)

source code 
Overrides: PrimitiveFunction.__init__

_repr_(self, simplify=True)

source code 
File: sage/structure/element.pyx (starting at line 291)

Overrides: structure.element.Element._repr_
(inherited documentation)

__call__(self, x)
(Call operator)

source code 
Overrides: PrimitiveFunction.__call__

_approx_(self, x)

source code 
Overrides: PrimitiveFunction._approx_