soft Product List and Ranking from 1817 Manufacturers, Suppliers and Companies | IPROS

Last Updated： Aggregation Period:Mar 18, 2026～Apr 14, 2026
This ranking is based on the number of page views on our site.

soft Manufacturer, Suppliers and Company Rankings

Last Updated： Aggregation Period:Mar 18, 2026～Apr 14, 2026
This ranking is based on the number of page views on our site.

  1. ユニオンシステム Osaka//Information and Communications
  2. アークシステム 本社 Kanagawa//others
  3. B7 Tokyo//Information and Communications
  4. 4 JIPテクノサイエンス Tokyo//Information and Communications
  5. 5 アドバン Nagano//others
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soft Product ranking

Last Updated： Aggregation Period:Mar 18, 2026～Apr 14, 2026
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  1. Super Build／SS7 Op.木造ラーメン ユニオンシステム
  2. Quicker and more accurate construction cost estimation! Drawing extraction software Hiroi-kun III アークシステム 本社
  3. Easy operation with just a click" - Drawing extraction software "Hiroi-kun III アークシステム 本社
  4. 4 PLAXIS HSLSモデル JIPテクノサイエンス
  5. 5 Data extraction software "Hiroi-kun III" supports CAD and PDF drawing data. アークシステム 本社

soft Product List

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Structural optimization design software 'OPTISHAPE-TS'

Structural optimization design software 'OPTISHAPE-TS'

We propose suitable forms that meet various requirements! For initial design plans and improvements to existing structures.

"OPTISHAPE-TS" is software that assists in the research, development, and design of automotive parts, electrical equipment, construction machinery, and more. With its topology optimization feature, it presents new design proposals that capture the essence of mechanics. It also expands design ideas based on the results obtained, enabling early concept and early design realization. We promise to improve current processes through cost reduction and quality enhancement, from shortening development and manufacturing periods to reducing costs. [Features] ■ Proposes the ideal "shape of things" through structural optimization ■ Improves current processes through cost reduction and quality enhancement ■ Guarantees reduction in development and manufacturing periods as well as cost reduction ■ Utilized in various situations, from the initial design phase to the improvement of existing shapes *For more details, please refer to the related links or feel free to contact us.

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[Example] From the initial layout design of the lower arm to detailed design.

[Example] From the initial layout design of the lower arm to detailed design.

"HiramekiWorks" is a structural optimization design software that features both "topology optimization" and "shape optimization" functions.

Topology optimization is useful for the initial layout design of products due to its nature of creating holes in the model. On the other hand, shape optimization modifies the surface shape of the model, allowing for the evaluation of not only stiffness but also stress, making it beneficial for the detailed design of products. In this case, after performing topology optimization on the lower arm to determine the layout shape, shape optimization is conducted on the resulting solid model to obtain a detailed shape that meets the stiffness and Mises stress constraints. *For more details, please refer to the related links or feel free to contact us.*

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[Case Study] Topology Optimization of a Monitor Arm Designed with Bilateral Symmetry in Mind

[Case Study] Topology Optimization of a Monitor Arm Designed with Bilateral Symmetry in Mind

"HiramekiWorks" is a structural optimization design software that features both "topology optimization" and "shape optimization" functions.

Topology optimization is a method that expresses the optimal shape based on the density distribution of materials while keeping the mesh of the analysis model fixed. Here, we perform topology optimization with "mirror symmetry" set for the monitor arm, seeking an optimal shape that is both highly rigid and symmetrical under four different analysis conditions. *For more details, please refer to the related links or feel free to contact us.*

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[Case Study] Shape optimization of link components considering interference with surrounding parts.

[Case Study] Shape optimization of link components considering interference with surrounding parts.

"HiramekiWorks" is a structural optimization design software that features both "topology optimization" and "shape optimization" functions.

In shape optimization, you can set a "designable area" as a manufacturing constraint. By using this feature, you can limit shape changes to ensure that they do not extend beyond the specified designable area. Additionally, even if the initial shape already extends beyond the area, it can be modified to fit within the designated space. Here, we will perform shape optimization with the "designable area" set for link components, minimizing the volume while keeping the maximum displacement below the constraint value, all within the confines of the designable area. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Model creation and structural analysis in bioengineering.

[Example] Model creation and structural analysis in bioengineering.

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

In the field of bioengineering, since there is no design data available, it is necessary to measure the actual object and create an analysis model. By using image-based analysis supported by VOXELCON, modeling can be performed from CT scan images of the actual object, allowing for faithful modeling that eliminates human error and significantly reduces the effort required for modeling. *For more details, please refer to the related links or feel free to contact us.*

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[Case Study] Stress Analysis of a Crankshaft through Reverse Engineering

[Case Study] Stress Analysis of a Crankshaft through Reverse Engineering

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

Model Creation and Structural Analysis from CT Images We will introduce an example of reverse engineering that measures the shape of a product (actual item) and uses it for direct analysis. Generally, creating a model for analysis from X-ray CT scan images requires a very labor-intensive process of generating a CAD model from the extracted surface. However, at VOXELCON, we can directly create a surface model from the image data of the X-ray CT scanner and apply boundary conditions directly on the surface model, allowing for voxel analysis without additional steps. This significantly reduces the man-hours required for reverse engineering. Here, we will present an example of creating a model from artificially generated tomographic images, simulating the tomographic images from an X-ray CT scanner, and performing static stress analysis. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Evaluation of macro physical properties using actual data

[Example] Evaluation of macro physical properties using actual data

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

In material design, investigating the macroscopic mechanical properties of porous materials such as ceramics and foamed metals, as well as composite materials represented by FRP, is extremely important. When actual samples are available, it is generally possible to measure them through experiments; however, depending on the properties of the materials and the condition of the samples, experiments may not always be easy. Here, we will introduce an example of calculating the macroscopic physical properties of a sample by analyzing the tomographic images obtained from scanning the actual sample with a micro X-ray CT scanner, using VOXELCON's image-based modeling and homogenization analysis functions. Note: The physical properties of the original materials constituting the porous materials and composite materials are assumed to be obtained in advance. *For more details, please refer to the related links or feel free to contact us.

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[Example] Analysis of Warping in Electronic Circuit Boards

[Example] Analysis of Warping in Electronic Circuit Boards

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

At VOXELCON, we perform thermal stress analysis using the temperature distribution from steady-state heat conduction analysis as a thermal load, allowing for easy weakly coupled analysis of steady-state heat conduction and thermal stress. Here, we will introduce an example of warpage analysis of an electronic substrate using a simple model. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Calculation of Equivalent Stiffness of Sandwich Structural Panels

[Example] Calculation of Equivalent Stiffness of Sandwich Structural Panels

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

The sandwich structure, which consists of a core material sandwiched between surface panels to form a unified structure, is widely used in various fields as it offers a lightweight design with high bending stiffness. However, in cases where the core is composed of multiple materials rather than a single material, the equivalent properties of the sandwich structure cannot be derived from simple laminate theory. In this example, we will use VOXELCON's homogenization analysis function to calculate the equivalent property values of a core made of composite materials, and we will introduce an example of bending analysis of the sandwich structure using a simplified model based on the obtained material property values. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Equivalent permeability coefficient and micro flow velocity distribution of porous media.

[Example] Equivalent permeability coefficient and micro flow velocity distribution of porous media.

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

With the increasing use of composite materials and porous materials, the importance of evaluating the properties of their microstructures is growing. In this example, we will introduce the calculation of the equivalent permeability coefficient and micro velocity distribution of a porous body as an example of evaluating the flow characteristics of microstructures using the homogenization method of VOXELCON. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Topology optimization of large-scale models

[Example] Topology optimization of large-scale models

"VOXELCON" is a structural analysis software that directly models STL data from CT and CAD for analysis and measurement purposes.

VOXELCON is equipped with topology optimization using the level set method. In this topology optimization, a target volume is set, and a shape is sought that maximizes stiffness (minimizes displacement at load points) under that volume constraint. Since structural optimization involves repeated structural analysis, the computation time can be very long. Additionally, the structural analysis specialized for voxels is characterized by good parallelization efficiency and low memory consumption, allowing for analysis of large-scale problems in a realistic time frame. The topology optimization feature also supports parallel execution on GPUs, so we will also introduce the computation time. *For more details, please refer to the related links or feel free to contact us.*

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[Example] Model correlation of plates containing honeycomb core material.

[Example] Model correlation of plates containing honeycomb core material.

We want an analytical model that matches the measured values of the natural frequency!

"Model correlation" refers to the process of reviewing various possible errors and correctly reflecting them in the analytical model. If there are measured values and an error-free analytical model, it becomes possible to apply this to further simulations, thereby demonstrating the true value of the simulation. Therefore, by combining Quint products, we propose an experimental vibration characteristic and an error-free analytical model = an optimal model correlation. In this case study, we derived an analytical model that reproduces the vibration characteristics of a complex structure plate (hereinafter referred to as "honeycomb panel") that includes honeycomb core material, using Quint products "VOXELCON," "AMDESS," and "OPTISHAPE-TS." [Workflow] ■1. Experimental mode analysis of the honeycomb panel ■2. Calculation of material parameters for the simplified model ■3A. Identification of material parameters ■3B. Identification through model shape modification *For more details, please refer to the PDF document or feel free to contact us.

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[Example] Lightweight design of rotating parts considering rigidity and manufacturing requirements.

[Example] Lightweight design of rotating parts considering rigidity and manufacturing requirements.

Introducing the lightweight design of rotating components while maintaining rigidity in the initial shape, taking into account various manufacturing requirements!

For rotating parts such as wheels, advanced design is required that takes into account not only mechanical properties like rigidity, strength, and vibration characteristics, but also various manufacturing requirements and aesthetic considerations. Here, we present a case study of a motorcycle road wheel that was designed with manufacturing requirements in mind to achieve weight reduction. We established a Multi-Point Constraint (MPC) to maintain rotational symmetry while considering manufacturing requirements such as "the overall shape must be moldable" and "must have a certain minimum wall thickness." First, we created an initial model that is 1/3 periodic symmetric using rotational copying. Then, we added load and constraint conditions, outputting the data as Nastran data, and created and added the MPC for maintaining rotational symmetry using the post-processor TS Studio. As a result, we achieved approximately an 11% weight reduction while maintaining a rotationally symmetric shape. 【Case Summary】 ■ Analysis Model: Road Wheel ■ Result: Achieved approximately 11% weight reduction *For more details, please refer to the PDF document or feel free to contact us.

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[Case Study] Shape Optimization to Improve Natural Frequency ★ Detailed Materials Available

[Case Study] Shape Optimization to Improve Natural Frequency ★ Detailed Materials Available

Control the natural frequency while considering the MAC value. Utilize parallelization to handle large-scale models in a short time.

By changing the shape, we improve the natural frequency and resonance frequency. Additionally, we have added conditions to allow for die-cutting in accordance with manufacturing requirements. In recent years, the performance of PCs has increased, and the scale of models required for finite element analysis has also grown larger. In such cases, significant time savings can be achieved by utilizing parallelization. This time, we performed shape optimization on a large-scale model with over one million nodes using parallelization. 【Analysis Model】 ■ Elements: Tetrahedral second-order elements ■ Number of elements: 653,931 ■ Number of nodes: 1,026,428 <Related Keywords> - Rib shape - Matching considering MAC values - Controlling eigenvalues *For more details, please refer to the PDF document or feel free to contact us.

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[Case Study] Stress Reduction through Optimization of Fillet Shape ★ Detailed Materials Available

[Case Study] Stress Reduction through Optimization of Fillet Shape ★ Detailed Materials Available

Focusing on the fillet section of the wrench component, we reduce the generated stress concentration! We guide it to an optimal shape that meets manufacturing requirements while maintaining a uniform R shape.

We would like to introduce a case study on the optimization of fillet shapes aimed at stress reduction. Taking manufacturing requirements into account, we sought a shape that minimizes stress while maintaining a uniform R shape. As a result, due to the axial symmetry setting, we were able to alleviate stress while preserving symmetry. Typically, when evaluating and optimizing localized stress, the shape does not remain symmetrical. However, with "OPTISHAPE-TS," it is possible to optimize while considering symmetry, allowing for changes in shape while maintaining the symmetry of the R shape, as demonstrated in this case. 【Case Overview】 ■ Analysis Model - Elements: Tetrahedral second-order elements - Number of elements: 220,782 - Number of nodes: 324,937 ■ Result: Due to the axial symmetry setting, stress was alleviated while maintaining symmetry. *For more details, please refer to the PDF document or feel free to contact us.

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[Case Study] Shape Optimization of Spot-Welded Flat Plate Stiffeners ★ Detailed Materials Available

[Case Study] Shape Optimization of Spot-Welded Flat Plate Stiffeners ★ Detailed Materials Available

Shape optimization of quadrilateral shell elements! It is also possible to optimize the thickness simultaneously!

As an example of shape optimization analysis for shell elements, we will focus on the reinforcing material of a square plate assumed to be the "center pillar" that constitutes the body of an automobile. "OPTISHAPE-TS" has a function that maintains the cross-sectional shape, allowing for the avoidance of complex cross-sectional shapes of the material during the shape optimization process. In the shape optimization process, RBE3 elements and their surrounding elements are automatically treated as spot welds, and constraints are set so that only rigid body motion is possible in those areas. In other words, while the position of the spot welds may move, the size and shape of the welds are constrained to remain unchanged. [Analysis Model] ■ Elements: Quadrilateral shell elements ■ Number of nodes: 47,425 ■ Number of elements: 46,440 *For more details, please refer to the PDF materials or feel free to contact us.

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[Case Study] Topology Optimization to Reduce Spot Welding ★ Detailed Materials Available

[Case Study] Topology Optimization to Reduce Spot Welding ★ Detailed Materials Available

By optimizing the solid elements that form the spot welding parts, we reduce the number of spots.

Using topology optimization features, we sought an optimal arrangement from the candidates for spot welding with a limited number of spots. As a result, we were able to reduce the number of spots according to the presence or absence of solid elements in the spot welding areas and determine an optimal arrangement. Additionally, the natural frequencies did not change before and after optimization, allowing us to achieve a 30% reduction in the number of spots without altering the initial performance. 【Case Summary】 ■Optimization Conditions - Objective Function: Maximization of the natural frequencies of the 7th, 8th, 9th, and 14th modes - Constraints: 30% reduction in the number of spots ■Results: 30% reduction in the number of spots while maintaining the same natural frequencies *For more details, please refer to the PDF document or feel free to contact us.

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[Example] Generation of CAD model from topology optimization results of a bracket.

[Example] Generation of CAD model from topology optimization results of a bracket.

Easily add creases! The cylindrical surface is generated as edited, accurately reproducing the original shape!

In this case, we obtained a CAD model to smooth the surface of the topology optimization results and perform verification analysis. We appropriately set the creases, recognized flat and cylindrical surfaces, and accurately preserved the original shape in non-design areas. For areas where creases were not automatically set, manual adjustments were made. The CAD model generation software "S-Generator" has various setting functions, allowing for easy addition of creases. Additionally, changes from free curves to arcs/lines, as well as cylindrical and planar transformations, can also be performed easily with just the press of a button. [Work Content] ■ Initial STL ■ Automatic crease setting on flat areas ■ Manual setting and editing of creases ■ Editing of analysis surfaces ■ Smoothing processing ■ Surface generation *For more details, please refer to the PDF document or feel free to contact us.

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Example: Warpage Countermeasures for Connectors in Injection Molding

Example: Warpage Countermeasures for Connectors in Injection Molding

By collaborating with 3D TIMON, we automatically adjust the thickness of the solid element model, thereby suppressing warping deformation.

Here is an example of minimizing warpage by changing the thickness of solid elements. The analysis was conducted using the "Basis Vector Method," which modifies the shape by moving the nodes of the finite element model without using CAD. Several patterns (basis vectors) of the desired shape were prepared from the initial model and combined. As a result of the optimization, the sum of squares of warpage improved by 33% to 4.9480e-004 compared to the initial shape, and the maximum warpage (mm) improved by 12% to 3.8607e-002. [Case Overview] ■ Optimization Conditions - Design Variables: Thickness A, B - Sampling: Initially LHS 20 points, Approximate optimal solution + 10 recommended points - Approximate Model: CRBF (Convolutional RBF) ■ Analysis: Basis Vector Method *For more details, please refer to the PDF document or feel free to contact us.

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Example: Silent Design of Electromagnetic Field Reactor

Example: Silent Design of Electromagnetic Field Reactor

By integrating various software such as CAD, magnetic field analysis, and acoustic analysis, a wide range of optimization can be achieved!

This example introduces how to integrate three software programs to reduce noise without compromising the electrical performance of a reactor. First, the general-purpose parameter optimization software "AMDESS" rewrites the VB script file of the 3D CAD software "SolidWorks" with trial dimensions, changing the model dimensions. Next, the electromagnetic field analysis software "JMAG" communicates with "SolidWorks" to import the CAD model, perform meshing and analysis, and "AMDESS" extracts responses from the analysis results of "JMAG." As a result, starting from 30 samples using Latin hypercube sampling, a 31% reduction in sound pressure was achieved through six updates of the response surface. 【Optimization Conditions】 ■ Design Variables: Core dimensions D1 to D4 ■ Objective Function: Minimization of reactor sound pressure ■ Constraint Functions: Inductance above initial value, core volume below initial value ■ Approximation Model: RBF *For more details, please refer to the PDF document or feel free to contact us.

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[Example] Modeling from Handwritten Images

[Example] Modeling from Handwritten Images

Introducing an example of modeling from a handwritten image! It is also possible to combine it with a CAD model!

In "VOXELCON," not only images from CT scanners but also images created with general image editing software can be imported and used for modeling. Here, as an example, we will introduce a case where an image created with the Windows accessory "Paint" is combined with a model created in CAD to create a model and perform stress analysis. If you have any questions or concerns, please feel free to contact us. [Contents] ■ Overview ■ Analysis Model ■ Boundary Conditions ■ Analysis Results ■ Discussion *Detailed information about the case can be viewed through the related links. For more details, please feel free to contact us.

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[Example] Evaluation of the physical properties of composite materials using modeling functions.

[Example] Evaluation of the physical properties of composite materials using modeling functions.

Utilizing the script function of VOXELCON! Here is an example of evaluating its physical properties through homogenization analysis.

Using the flexible modeling and scripting features of "VOXELCON," you can randomly vary the arrangement and scaling of the given basic shapes to generate models. Here, we will introduce an example of randomly generating a micro model of composite materials and evaluating its physical properties through homogenization analysis. If you have any questions or concerns, please feel free to contact us. 【Contents】 ■ Overview ■ Analysis Model (Micro Model) ■ Homogenization Analysis Results ■ Discussion *For detailed information on the case study, please refer to the related links. For more information, feel free to contact us.

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Example: CAD Integration - Dimension Optimization Linked with SOLIDWORKS

Example: CAD Integration - Dimension Optimization Linked with SOLIDWORKS

By using the SOLIDWORKS API, we can automate dimension changes and reduce operations.

To change dimensions through dimensional optimization, there are two methods: one is to directly modify the CAD model and remesh it, and the other is to change the mesh itself (morphing). Many CAD systems support scripting languages for manipulating CAD models, allowing external programs to operate on CAD models using these scripts. Here, we will introduce an example of dimensional optimization using a VBA macro that links SolidWorks (SolidWorks Japan Co., Ltd.) with 'AMDESS'. [Contents] ■ Overview ■ Analysis Model ■ Optimization Conditions ■ Results ■ Discussion *Detailed information about the case study can be viewed through the related links. For more information, please feel free to contact us.

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Example: Injection Molding - Exploration of Gate Position Considering Warpage Measures and Robust Design

Example: Injection Molding - Exploration of Gate Position Considering Warpage Measures and Robust Design

We will explore design proposals that achieve both anti-sledding measures and robustness in collaboration with 3D TIMON.

Robustness represents the strength (small variation) against changes in the environment or situation and is an important evaluation criterion that affects yield in actual production. "AMDESS" can provide virtual variations to the approximation model, allowing for the evaluation of this robustness. Here, we will introduce a case of gate position optimization where "AMDESS" and "3D TIMON" are linked, and robustness is evaluated after the usual optimization. [Contents] ■ Overview ■ Analysis Model ■ Optimization Conditions ■ Optimization Results ■ Variation Evaluation ■ Discussion *Detailed information about the case can be viewed through the related links. For more information, please feel free to contact us.

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Case Studies Volume 2 of Structural Optimization Design Software 'OPTISHAPE-TS'

Case Studies Volume 2 of Structural Optimization Design Software 'OPTISHAPE-TS'

We will introduce examples aimed at stress reduction, weight reduction, and control of natural frequencies, considering situations such as component interference! Detailed explanations of analysis models, optimization conditions, and discussions will be provided!

In this case study collection, we introduce problem-solving examples using the structural optimization design software 'OPTISHAPE-TS.' We include examples of shape optimization for arms considering layout constraints due to part interference, as well as shape optimization case studies using stress constraints from multiple parts. From the analysis model to optimization conditions, results, and discussions, we provide detailed explanations using diagrams. Please feel free to download and take a look. [Featured Examples] ■ Shape optimization considering interference with other parts ■ Shape optimization considering stress ■ Shape optimization to improve natural frequency ■ Stress reduction through optimization of fillet shapes *For more details, please refer to the PDF materials or feel free to contact us! *For those who are not members of Ipros, materials can also be downloaded from the related links below (within our company site).

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[Technical Column] The Theory of OPTISHAPE-TS

[Technical Column] The Theory of OPTISHAPE-TS

An explanation of the theory used in the optimization function! A column discussing "H1 Gradient Method."

Since the release of the initial version, we have frequently received questions from customers about the theories underlying our optimization. From the user's perspective, it is understandable to feel hesitant about using software without a clear understanding of the theoretical background. In this technical column, we will explain the theories used in the optimization features of OPTISHAPE-TS as clearly as possible. Please feel free to download and take a look. [Contents] ■ Episode 1: Introduction to Non-Parametric Optimization *For more details, please refer to the PDF document or feel free to contact us.

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The theory of OPTISHAPE-TS "Gradient Method in Finite-Dimensional Spaces"

The theory of OPTISHAPE-TS "Gradient Method in Finite-Dimensional Spaces"

An explanation of gradient methods when the design variables are a finite number of real numbers! Introduction to the column.

In the previous article, we explained the gradient method, which is one of the solutions to optimization problems. In this article, we will discuss the gradient method in finite-dimensional spaces, specifically when the design variables are a finite number of real numbers. Please feel free to download and take a look. [Contents] ■ Episode 15: What is H1 Gradient Method Part 8 "Gradient Method in Finite-Dimensional Spaces" *For more details, please refer to the PDF document or feel free to contact us.

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[Technical Column] The Theory of OPTISHAPE-TS: "Space"

[Technical Column] The Theory of OPTISHAPE-TS: "Space"

An explanation of the concept of "space" in modern mathematics! Introduction to a technical column.

In the previous article, I provided an overview of the function space known as H1. As I mentioned briefly, there is a significant difference between the "space" that engineers think of and the "space" in modern mathematics. This time, I will explain the concept of "space" in modern mathematics. Please feel free to download and take a look. [Contents] ■ Episode 9: What is the H1 Gradient Method? Part 2 "Space" *For more details, please refer to the PDF document or feel free to contact us.

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[Technical Column] The Theory of OPTISHAPE-TS: "What is Gradient Method?"

[Technical Column] The Theory of OPTISHAPE-TS: "What is Gradient Method?"

Based on the formulation of optimization problems, let's briefly explain what the gradient method is!

In the previous articles, we explained the "H1" in the H1 gradient method. I hope you have deepened your understanding of the concept of function spaces. From this time onward, I would like to explain the remaining "gradient methods" over several articles. To begin with, this article will discuss an overview of gradient methods. Please feel free to download and take a look. [Contents] ■ Episode 14 What is H1 Gradient Method Part 7 "What is Gradient Method" *For more details, please refer to the PDF document or feel free to contact us.

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The theory of OPTISHAPE-TS: The relationship between three functions and H1.

The theory of OPTISHAPE-TS: The relationship between three functions and H1.

A subtle relationship with three functions commonly encountered in the field of engineering! Introducing in a column.

In the previous session, we explained norms and inner products in function spaces. Finally, to help you gain a deeper understanding of the concept of function spaces, we will discuss the subtle relationships with three functions that frequently appear in the field of engineering (for example, control engineering and vibration engineering). Please feel free to download and take a look. 【Contents】 ■ Episode 13: What is the H1 Gradient Method? Part 6 "The Relationship Between Three Functions and H1" *For more details, please refer to the PDF document or feel free to contact us.

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