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In Redberry Free Download, Tensors are the mathematical objects and can be manipulated in a uniform way. The mathematical operations that can be performed on Tensors include various types of composition, addition, subtraction, scalar multiplication, tensor contraction, and tensor extraction.
Tensors in Redberry are created using a special object class, Tensor. To create a tensor, the following constructors are provided:
Tensor
Tensor(int id, int rank)
Tensor(int id, int rank, Vector dims)
Tensor(int id, int rank, Vector dims, Vector inds)
Tensor(Vector dims, Vector inds)
Tensor(Vector dims, Vector inds, int id)
Tensor(int rank, int id)
Tensor(int rank, int id, Vector dims)
Tensor(int rank, int id, Vector dims, Vector inds)
Tensor(int rank, int id, Vector dims, Vector inds, int id)
Tensor(Vector dims, Vector inds)
Tensor(Vector dims, Vector inds, int id)
Tensor(Vector dims, Vector inds, int id, int rank)
Tensor(Vector dims, Vector inds, int id, int rank, Vector dims)
Tensor(Vector dims, Vector inds, int id, int rank, Vector dims, Vector inds)
The first four of the constructors are used to create a tensor with a fixed rank and dimensionality (i.e. it is guaranteed that each tensor will have a fixed rank). The remaining three constructors allow tensors to be created with a predetermined rank and dimensionality as well as a single ID.
Indices are the container for a list of indices. Indices are of type IIndex. This includes sub-types for simple and composite tensors, scalars, and arrays.
Transformations: Transformation are used to
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keymacro is a Macros that is used to generate code which is easier to modify and to generate for large and complex matrices. The keymacro library is mainly used to generate a cross product of two vectors and a matrix. The keymacro library includes a wide array of useful functions that can be applied to vectors, matrices, tensors, TensorFields, simple tensors, multi-indices, tensors index numbers, number, string and list. The keymacro library supports a wide array of functions like apply, collect, apply_multi_index, apply_multi_index_key, collect_multi_index_key, conjugate, collect_key, conjugate_key, eliminate_metrics, expandandeliminate, eliminate_metrics_key, invertindex, invertindex_key, index_key, index, index_key, invertindex, index, multi_index, multi_index_key, number, number_key, number_key, tensor, tensorfield, list, list_key, string, string_key, string_key, tensor_field, simple_tensor, simple_tensor_key, simple_tensor_key, sublist, and vector.
TYPE of this library is an library of macros.
CLASS of this library is a class.
FILE of this library is [Macros.jar].
MODULE of this library is KeyMacro.
FILE of this library is [Macros.jar].
LIBRARY of this library is [KeyMacro.jar].
TYPE of this library is a library of macros.
CLASS of this library is a class.
FILE of this library is [Macros.jar].
MODULE of this library is KeyMacro.
FILE of this library is [Macros.jar].
LIBRARY of this library is [KeyMacro.jar].
CLASS of this library is a class.
FILE of this library is [Macros.jar].
MODULE of this library is KeyMacro.
FILE of this library is [Macros.jar].
LIBRARY of this library is [KeyMacro.jar].
CLASS of this library is a class.
FILE of this library is [Macros.jar].
MODULE of this library is KeyMacro.
FILE of this library is [Macros.jar].
LIB
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What’s New In Redberry?
Redberry provides a mathematical framework with which to represent mathematical expressions in a computer-friendly way. Mathematical expressions are described as abstract data types (ADTs) and consist of a set of variables, operations and subexpressions. These mathematical expressions can be manipulated, stored and converted to more conventional representations, such as matrix, or converted back.
Redberry uses a hierarchy of ADTs that include tensor, index, transformation, index mapping, and simple. The index ADT is the basic building block for all others, and is defined as a single container of single indices of elements in a tensor. The index ADT includes a set of operations such as (i) scalar multiplication (ii) scalar addition (iii) left and right index mapping. The scalar and scalar ADT represent constant-valued quantities that can be multiplied or added to other scalars. Examples of these include scalar literals, integers, or other scalars. The index ADT also includes a set of operations that transform an index of an element of a tensor. The index ADT can be extended to represent the fields associated with a tensor. For example, a scalar can be associated with a matrix and a vector can be associated with a tensor. The transformation ADT includes operations that describe the linear mapping of one or more indices of a tensor or index mapping ADT. These operations can also be extended to represent transformations of the fields associated with a tensor.
Features of Redberry:
Redberry aims to be user-friendly, at the same time it provides significant power to the user.
1. Implementation of Operational Domains:
Redberry is well equipped to handle a wide range of problems and problems of varying complexity, thereby making it easy for the user to quickly get a grip of the framework, without a steep learning curve.
2. Operational Domains:
Redberry uses an object oriented framework that provides for the following operational domains:
• Document Domains:
• • Tensor Domains:
Tensors are the basic building blocks in the algebra system. Tensors are objects that can be manipulated and represent multi-dimensional quantities and the relations between them. They include fundamental elements like scalars, vectors, matrices and higher dimensional shapes. Tensors are in the same hierarchy as indices, transformations and transformations of fields.
The tensor domain provides rich abstractions of mathematical concepts. It includes tensor creation, indexing, permutations, transformations and index mapping. It supports the implementation of high-dimensional numerical types. For example, the traditional arithmetic operations, including scalar multiplication, addition, subtraction and multiplication can be performed on vectors and matrices. The scalar domain can be abstracted by a tensor with a single element.
• Index Domain:
Index domain represents a basic building block to all other
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System Requirements:
NVIDIA® GeForce® GTX1070
NVIDIA® GeForce GTX1080
NVIDIA® GeForce GTX 1070
12GB VRAM
AMD Radeon™ R9 390
AMD Radeon™ R9 Fury
AMD Radeon™ R9 380
8GB VRAM
Minimum Recommended Processor:
Intel Core i5-3570K @ 3.4 GHz or AMD Phenom II X4 940 @ 3.3 GHz
Intel Core i5-4570 @ 3.8 GHz
AMD
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