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Sie werden standardm "a Original : include-maxima.

Jedoch werden die Operanden, das sind -die linke und rechte Seite der Ungleichung ausgewertet. Die Funktionen Hat Ausdr "ucke k "onnen "aquivalent aber syntaktisch -verschieden sein. Wegen der Regeln f "ur die Auswertung von Aussagen und weil im Ausdruck Ausdr "ucke -k "onnen "aquivalent sein, ohne syntaktisch gleich zu sein. The branch, master has been updated via 1eec9cbc8d0df66ddcb6f4d2f4c commit from 27d47c4f9c9aad6d9baaf9fea84d8 commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below.

This seems to fix the bug reported by Ladislav Derka to the mailing list "error function lsquares". The branch, master has been updated via 27d47c4f9c9aad6d9baaf9fea84d8 commit via f7ed3f7ce5c30ebbee4ae5 commit from 7dbacc6d26ef1ba1bc6bca1aeedcf99 commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below.

The branch, master has been updated via 7dbacc6d26ef1ba1bc6bca1aeedcf99 commit via a2d01ac48e9a34efbeb22ba86 commit via f3af1ea7be83cfba commit via aedcdc4a2bb2b4fdf44e7ea6dcdbc4c8b commit from cabe0ba51bbc1ebba69d56d commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below.

Some more work on the translation. Weiterhin kontrolliert die Optionsvariable, ob die Berechnung mit Gleitkommazahlen in doppelter oder gro Der Anfangswert ist Der Algorithmus bricht ab, wenn Daher ist es nicht notwendig, dass der Ausdruck The branch, master has been updated via cabe0ba51bbc1ebba69d56d commit from d57bfeefe36edddefd commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below. Thanks to Nick Maclaren for pointing out that it is necessary.

The branch, master has been updated via d57bfeefe36edddefd commit from 7b56dda7efcffb4d09c4a5 commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below. The branch, master has been updated via 7b56dda7efcffb4d09c4a5 commit via 87af59ba0cbfc21e7fadcec commit from 20fdcd3d73ba7dafbe4ed commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below.

I suppose I could be mistaken about that. I'll have to work on that.

Datum und Uhrzeit eingeben

Thanks to Stefan Karrmann for bringing this topic to my attention. The branch, master has been updated via 20fdcd3d73ba7dafbe4ed commit via ebfcdd9c80e0e5dc4c7efa35daebe57 commit via ea17fbec1adc4bffaa5bde commit via d6c56b0fcec21dbac commit via eeec3abedede56bb9b commit via cb6d1c1fb3aaa0a30f5bfc5d39a7 commit via cedfe0fdb commit via 93ac99fedaacdb3ce11e4a commit from ebedeb8ba5ea5a65abc3bdc6bdca9b commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below.

Introduction to mnewton, Functions and Variables for mnewton, mnewton, mnewton Functions and Variables for mnewton, , Introduction to mnewton, mnewton See also Original : Operators. Maxima unterscheidet die interne Sortierung von der externen Sortierung f "ur die Anzeige.

Ausnahme ist die Multiplikation. F "ur diese sind die interne und die externe Sortierung identisch. Mit Ausnahme der Exponentiation werden -alle arithmetischen Operationen mit Zahlen zu Zahlen vereinfacht. Die -Exponentiation vereinfacht zu einer Zahl, wenn einer der Operanden eine -Gleitkommazahl ist, oder wenn das Ergebnis eine ganze oder rationale Zahl ist. Bei einer arithmetischen Rechnung kann es zur Umwandlung in Gleitkommazahlen kommen. Ist eines der Argumente eine gro Die Operanden sind boolesche Ausdr "ucke und das Ergebnis ist ein boolescher Wert.

Die Argumente werden in der Reihenfolge ausgewertet, in der sie -auftreten. Hat irgendein Argument den Wert Der Operand ist ein boolescher Ausdruck und das Ergebnis ein boolescher Wert. In diesem Fall wird die entsprechende Symmetrieeigenschaft f "ur alle Indizes angenommen. Ist dieser vorhanden, stoppt die Funktion nach der ersten erfolgreichen Substitution in einem Produkt.

Also initializes the antisymmetry -properties of the Levi-Civita symbols for the given dimension. The following notation is used: end example end deffn In order to evaluate these, one should use It is automatically ;; generated by configure. The branch, master has been updated via ebedeb8ba5ea5a65abc3bdc6bdca9b commit from fcafaffddfa04acaa74d4b commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below.

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The branch, master has been updated via fcafaffddfa04acaa74d4b commit via dd08ab0a82cda41ea1dcaad83bb3fceef commit via 87aedec72ff37e00ca8deebeddecb6 commit via dbbbeddd7f64ccba commit from f9ba49b3efcc2d2cd97a commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below.

Introduction to itensor, Functions and Variables for itensor, Tensoren, Tensoren Auf diese Weise kann die Struktur gro Auf der anderen Seite kann die Spezifikation einer Metrik, die Definition von Funktionen und die Auswertung von abgeleiteten indizierten Objekten f "ur den Nutzer schwierig sein. Functions and Variables for itensor, Introduction to ctensor, Introduction to itensor, Tensoren Functions and Variables for itensor Lists all tensors in a tensorial expression, complete with their indices. For instance: Otherwise, the dummy indices are indexed Each dummy index in a product In addition, the indices will be It often happens that the combined effect of the Hat die Optionsvariable These -are automatically substituted for the tensor whenever it occurs with -all of its indices.

When -used to assign values to the metric tensor wherein the components -contain dummy indices one must be careful to define these indices to -avoid the generation of multiple dummy indices. For instance: - You can use a Maxima function to specify the -components of a tensor based on its indices. Mit diesen Gr "o This is often undesirable as it prevents further simplification. The main difference between -this function and simply evaluating the Levi-Civita symbol is that direct -evaluation often results in Kronecker expressions containing numerical -indices.

These are of the form The dummy indices are renamed in the same manner as in the Indicial tensor calculus Die tensorielle Gr "o In particular, the tensor package knows -how to differentiate expressions containing combinations of the metric tensor -and its derivatives with respect to the metric tensor and its first and -second derivatives. This capability is particularly useful when considering -Lagrangian formulations of a gravitational theory, allowing one to derive -the Einstein tensor and field equations from the action principle.

Eine tensorielle Gr "o For example: end example end deffn Implied sums over dummy indices are made explicit while indexed objects are transformed into arrays the array subscripts are in the order of covariant followed by contravariant indices of the indexed objects. Origignal : Ctensor. Introduction to ctensor, Functions and Variables for ctensor, Functions and Variables for itensor, Tensoren Functions and Variables for ctensor, Introduction to atensor, Introduction to ctensor, Tensoren Functions and Variables for ctensor The argument followed by a list containing the coordinate variables.

For instance, you can specify a spherical metric as follows: Otherwise, Returns the scalar curvature obtained by contracting the Ricci tensor of the Riemannian manifold with the given metric. Otherwise, the 3,1 Riemann tensor is computed first. Otherwise, these components will simply be computed and stored.

Without further restrictions, even a diagonal metric produces expressions for the Einstein tensor that are far too complex: Changing to a frame base at a later stage could yield inconsistent results, as you may end up with a mixed bag of tensors, some computed in a frame base, some in a coordinate base, with no means to distinguish between the two. Except for some simple test cases, the implementation is untested as of December 19, , and is likely to contain errors.

The user must input the functions which define the transformation. For example: It prints two element lists where the second element corresponds to NTERMS of the components specified by the first elements. In this way, it is possible to quickly find the non-zero expressions and attempt simplification. For instance, the Riemann-tensor of the Schwarzschild metric can be viewed as: Reduced run times will, of course, result.

Causes trigonometric simplifications to be used when tensors are computed. Causes the contortion tensor to be included in the computation of the connection coefficients. If The covariant frame metric. The metric tensor. The raised-index Newman-Penrose null tetrad. Variable indicating if the tensor package has been initialized. Original : Atensor. Introduction to atensor, Functions and Variables for atensor, Functions and Variables for ctensor, Tensoren In this case, however, simplifications.

Functions and Variables for atensor, , Introduction to atensor, Tensoren A safeguard is used to ensure that the function always terminates, even for complex expressions. The algebra type. The branch, master has been updated via f9ba49b3efcc2d2cd97a commit from e98d2b0cdfaf2e3d0da commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below.

Fixes bug reported to mailing list "Problem with save" The branch, master has been updated via e98d2b0cdfaf2e3d0da commit via a2d22c6bc9b34f69b7dc5e0baccb2f91 commit from 06eb17acdef9aabfc85c8 commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below. The branch, master has been updated via 06eb17acdef9aabfc85c8 commit via 54ec4ddf82a6a18f8efed9eb08b commit via f1c2ddcbe39aeb0a4e commit via cd4addcfa91bbde commit via ed56e3bfef9fcade commit via 3be4acfa25ca6cfdebeeae5b1b9 commit via f1bbc2afbfe4abbe77e30 commit via aa3b8dbef1a80f3adad7eeee78d commit from f3c0ac2febbddb1bc0aafb commit Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below.

This declaration prevents -multiple evaluation of a subscripted variable name. These are plus any user-defined features. There is also a list of -non-mathematical, system-dependent features. What should we do about askexp??? If it cannot, it asks the user the necessary questions to complete its deduction. The user's answer is recorded in the data base for the duration of the current -computation.

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