What are tensors and how are they different from scalars and vectors?

Tensors are mathematical objects that generalize scalars and vectors to represent data across multiple dimensions. While a scalar is a single value (0D) and a vector is a 1D array, tensors can be represented as multi-dimensional arrays. For instance, a 2D tensor is essentially a matrix. They are crucial in various fields like physics and machine learning, serving as the foundation for neural network computations.

What are common applications of tensors in machine learning?

Tensors play a significant role in machine learning, particularly in deep learning, where they are used to represent datasets. For instance, in neural networks, input data (like images) is often organized as tensors. This multi-dimensional structure allows models to process complex data efficiently, making tensors essential for training models on large datasets or for performing operations like convolutions in image processing.

How are tensors used in physics?

In physics, tensors are instrumental in describing physical phenomena under varying conditions. For example, the stress-strain relationship in materials is represented by a tensor, which helps in understanding how materials deform under pressures. In general relativity, the curvature of spacetime is described using tensors, highlighting their importance in advanced theoretical frameworks.

What is the difference between a tensor and a matrix?

A tensor is a more general concept than a matrix. While matrices are 2D arrays that can be considered as 2nd-order tensors, tensors can exist in three or more dimensions. This means that while all matrices are tensors, not all tensors can be represented as matrices. This distinction makes tensors particularly useful in applications where multi-dimensional data is crucial, such as physics and machine learning.

Can you explain the rank of a tensor?

The rank of a tensor refers to the number of dimensions it has. A scalar, being a single value, has a rank of 0, a vector has a rank of 1, and a matrix has a rank of 2. Higher-dimensional tensors, like 3D or 4D tensors, are used in complex computations, such as those found in data science or physics simulations, where multiple variables must be analyzed simultaneously.

What is a tensor operation and can you provide examples?

Tensor operations are mathematical manipulations involving tensors, similar to operations with vectors and matrices, including addition, multiplication, and contraction. For example, adding two tensors of the same shape combines their elements. Tensor multiplication often involves more complex operations like dot products or outer products, widely utilized in machine learning algorithms for processing data inputs.

How do tensors relate to deep learning frameworks?

Tensors are the primary data structure used in deep learning frameworks like TensorFlow and PyTorch. These frameworks enable users to efficiently perform tensor operations, crucial for building and training neural networks. For instance, each layer in a neural network employs tensor operations to transform input data into meaningful outputs, optimizing model performance during training.

What software tools can be used to manipulate tensors?

There are several software libraries and frameworks designed for tensor manipulation, with TensorFlow and PyTorch being the most popular in the machine learning community. These tools provide built-in functions for creating, updating, and performing operations on tensors, facilitating their application in complex calculations needed for tasks like image recognition or natural language processing.

How should beginners approach learning about tensors?

Beginners should start with a solid foundation in linear algebra since tensors build on these concepts. Online courses, tutorials, and textbooks specifically addressing tensors in mathematics and applications in programming can be very beneficial. Engaging in hands-on projects, such as simple neural network implementations, will enhance understanding through practical application of tensor operations.

Where can I buy 'What Are Tensors Exactly'?

You can purchase 'What Are Tensors Exactly' from Ubuy in Argentina. Ubuy offers a seamless shopping experience, allowing you to find this product easily online. They provide detailed product descriptions, customer reviews, and competitive pricing, making it a reliable option for your purchase.

¿Cómo comprar What Are Tensors Exactly en línea desde Ubuy?

Es fácil comprar What Are Tensors Exactly en línea desde Ubuy.. Solo tiene que buscar el producto, elegir su método de envío al pagar y recibirlo en su ubicación.

¿Está What Are Tensors Exactly disponible para comprar en línea en Argentina?

Sí, en Ubuy Argentina, este producto está disponible para que lo compre a un precio razonable.. El What Are Tensors Exactly no está disponible localmente, pero puede confiar en nosotros con nuestros servicios de envío exprés.

¿Cuánto tiempo se tarda en obtener el producto después de realizar el pedido?

El tiempo de entrega de su producto pedido varía según lo que haya pedido y el método de envío que haya elegido.. El tiempo de entrega estimado se menciona durante el proceso de pago, así que no se preocupe mientras compra.

Ver el original

This volume answers common questions and corrects many misconceptions about tensors.

Nº de artículo: 40075131

What Are Tensors Exactly

93% of respondents would recommend this to a friend

Nº de artículo: 40075131

ARS 102190

Price Details

Excluding Shipping & Custom charges ( Shipping and custom charges will be calculated on checkout )

^{*All items will import from Estados Unidos}

Disponibilidad : En stock

Importado de la tienda USA

QTY:

Haz tu pedido ahora y recíbelo por ahí Sunday, Noviembre 01

Secured transaction

Our Top Logistics Partners

This volume answers common questions and corrects many misconceptions about tensors.

Garantía U-Care:

Ninguno

Selecciona un plan

Fast
Shipping

Free
Return^*

Secure Packaging

100% Original Products

PCI DSS Compliance

ISO 27001 Certified

Note: Step Down Voltage Transformer required for using electronics products of Estados Unidos store (110-120). Recommended power converters Comprar ahora.

What Stands Out

Dimensional Versatility

Tensors can represent data in various dimensions, allowing them to model complex phenomena efficiently across fields like physics, engineering, and machine learning.

Robust Transformation

Tensors facilitate transformations between different coordinate systems seamlessly, enabling accurate calculations in various scientific applications and improving interoperability among diverse data sources.

Computation Efficiency

Tensors are optimized for high-performance computation, enabling faster processing of large datasets, which is critical for applications in artificial intelligence and deep learning.

Detalles de producto

Tensors have various applications in physics and engineering
This book aims to provide an intuitive understanding of tensors without sacrificing rigor
Clears up common misconceptions and answers frequently asked questions about tensors
Includes a large number of illuminating illustrations to aid understanding
Suitable for researchers, professionals, academics, graduate students, and undergraduates
Helps readers gain a deeper understanding of tensors and eliminates the need for rote memorization

Publisher	WSPC
Publication date	June 17, 2021
Language	English
Print length	246 pages
ISBN-10	9811241015
ISBN-13	978-9811241017
Item Weight	1.1 pounds (500 grams)
Dimensions	6 x 0.77 x 9 inches (15.2 x 2 x 22.9 cm)
Country of Origin	This item will be import from US
Date First Available	July 14, 2021
What is in the box	What Are Tensors Exactly... For more details, please check description/product details

Who Should Buy?

Students of Physics
Ideal for physics students needing a solid foundation in tensors for advanced theoretical concepts and applications.
Data Scientists
Beneficial for data scientists using machine learning frameworks that utilize tensors for training and data manipulation.
Mathematics Enthusiasts
Great for individuals interested in deepening their understanding of mathematical structures and their applications in various fields.

Casual Learners
Not suitable for individuals casually exploring mathematics without the intention of deep technical understanding.

DESCRIPCIÓN DEL PRODUCTO

What Are Tensors Exactly

¿Tienes alguna consulta? Chatea con nosotros

Preguntas y respuestas de los clientes

Pregunta: ¿Cómo comprar What Are Tensors Exactly en línea desde Ubuy?

Respuesta: Es fácil comprar What Are Tensors Exactly en línea desde Ubuy.. Solo tiene que buscar el producto, elegir su método de envío al pagar y recibirlo en su ubicación.
Pregunta: ¿Está What Are Tensors Exactly disponible para comprar en línea en Argentina?

Respuesta: Sí, en Ubuy Argentina, este producto está disponible para que lo compre a un precio razonable.. El What Are Tensors Exactly no está disponible localmente, pero puede confiar en nosotros con nuestros servicios de envío exprés.
Pregunta: ¿Cuánto tiempo se tarda en obtener el producto después de realizar el pedido?

Respuesta: El tiempo de entrega de su producto pedido varía según lo que haya pedido y el método de envío que haya elegido.. El tiempo de entrega estimado se menciona durante el proceso de pago, así que no se preocupe mientras compra.

Linear Editorial Review

This book, "What Are Tensors Exactly" by Hongyu Guo, is a well-written and helpful guide for anyone looking to understand the complex concept of tensors. The author provides historical context and various definitions of tensors, while also carefully explaining their relationships and properties. The book is especially useful for those working in applied math, computer vision, and machine learning, as it provides a unified understanding of tensors across different fields. However, some readers may find the author's attempts at humor to be unnecessary.

Customer Reviews & Ratings

5.0

1 valoraciones de los clientes

5 estrella

100%
4 estrella

0%
3 estrella

0%
2 estrella

0%
1 estrella

0%

Revisar este producto

Comparte tus ideas con otros clientes

ventajas

Provides historical context and various definitions of tensors
Carefully explains relationships and properties of tensors
Useful for those in applied math, computer vision, and machine learning
Provides unified understanding across different fields

Contras

Attempts at humor may be unnecessary.

Platform Trust & Buyer Confidence

4.2/5 9704 reviews

Read reviews

Jasmin

Verified buyer

“Great products and very good service: very easy and very fast international delivery.”

9 September 2026 · via Trustpilot

Anke

Verified buyer

“Wonderful online shopping experience, smooth transaction from the start. Payment method works conveniently and delivery is unexpectedly fast and reliable. You go the extra mile for service. What makes this even more amazing, you deliver to Namibia. I will remain a happy Ubuy customer and will increase my purchases for sure! Thank you!”

10 September 2026 · via Trustpilot

Hazel

Verified buyer

“Very easy to find the products what you need, and so fast delivery, that’s why I highly recommended to others costumers to used ubuy.”

10 September 2026 · via Trustpilot

Opaleye

Verified buyer

“I received exactly what I ordered I was skeptical about your site because that was my first time to order. But the order came timely and neatly packaged. I was not disappointed. Thank you.”

11 September 2026 · via Trustpilot

Adele

Verified buyer

“Easy to find and order what you want on the website. Delivery is quick to the UK”

8 September 2026 · via Trustpilot

WHY SHOP WITH US

Pago seguro Global Delivery Easy Returns Genuine Products

Product Price History

Información importante

Limitaciones: Para los productos enviados al extranjero, ten en cuenta que cualquier garantía del fabricante puede no ser válida; las opciones de servicio del fabricante pueden no estar disponibles; los manuales del producto, las instrucciones y las advertencias de seguridad pueden no estar en los idiomas del país de destino; los productos (y los materiales que los acompañan) pueden no estar diseñados de acuerdo con las normas, especificaciones y requisitos de etiquetado del país de destino; y los productos pueden no ajustarse al voltaje del país de destino y a otras normas eléctricas (lo que requiere el uso de un adaptador o convertidor, si procede). El destinatario es responsable de asegurarse de que el producto puede ser importado legalmente al país de destino. Cuando hagas un pedido a Ubuy o a sus filiales, el destinatario es el importador registrado y debe cumplir todas las leyes y normativas del país de destino.
No todos los productos que aparecen en Ubuy están a la venta, ya que Ubuy es un motor de búsqueda a nivel mundial. Los productos están sujetos a las normas de exportación/comercio.

ARS 102190

Haz tu pedido ahora y recíbelo por ahí Sunday, Noviembre 01

QTY:

Secured transaction

PCI DSS compliant and ISO 27001:2022 certified, with encrypted payments and full buyer protection on every order.

Our Top Logistics Partners

Fastest cross-border delivery

características y beneficios

Tensors have numerous applications in physics and engineering.
The book aims to explain the concept of tensors in an intuitive way without losing rigor.
Readers will gain deeper understanding and will not need to memorize definitions.
The book includes illuminating illustrations to facilitate understanding.
Beneficial for researchers, professionals, academics, graduates, and undergraduates.

Ubuy Assurance

Experience worry-free shopping with 100% original products, PCI DSS-compliant payment security, ISO 27001-certified data protection, the fastest cross-border delivery, free returns ^*, and secure packaging on every order.

What Are Tensors Exactly

ARS 102190

Fast Shipping

Free Return*

Secure Packaging

100% Original Products

PCI DSS Compliance

ISO 27001 Certified

What Stands Out

Detalles de producto

Who Should Buy?

DESCRIPCIÓN DEL PRODUCTO

Preguntas y respuestas de los clientes

Linear Editorial Review

Customer Reviews & Ratings

Revisar este producto

ventajas

Contras

Platform Trust & Buyer Confidence

WHY SHOP WITH US

Product Price History

Información importante

ARS 102190

características y beneficios

Ubuy Assurance

Fast
Shipping

Free
Return^*