Examples of using Mathematical structure in English and their translations into Japanese
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It shows that spaces are just mathematical structures.
Prof. Shannon analyzed the mathematical structure of information transmission from the following five aspects.
The Music composition is recognized as mathematical structure.
Grammatical and mathematical structures are often similar.
These rules form an interesting and important mathematical structure.
This is part of the new mathematical structure of your existence.
This level considers equally real alluniverses that can be described by different mathematical structures.
The most suitable mathematical structure seemed to be a tensor.
And we take those key concepts and they sort of form this mathematical structure of an idea.
A mathematical structure is something that you can describe in a way that is completely independent of human baggage.”.
In order to describe such a dynamics, we would need a mathematical structure similar to that of twistor space.
This level considers all universes to be equallyreal which can be described by different mathematical structures.
The rationale for choosing a manifold as the fundamental mathematical structure is to reflect desirable physical properties.
All will be made available to you, andno longer will you suffer at the hands of the limiting qualities of your current mathematical structure.
These three forces are characterized by a similar mathematical structure, so physicists believe that GUT could exist.
The above example demonstrates how different Hasse diagrams for the same order can be, andhow each representation can reflect different aspects of the underlying mathematical structure.
These are not only geometric figures butalso have important mathematical structures, which make the theories behind them very rich.
Is this just an interesting mathematical structure that might be able to explain some previously unexplained features of the world, or can we actually test for these extra dimensions?
This level considers alluniverses that can be described by different mathematical structures as equally real.
So if it is those networks and their mathematical structure, unlike biology, which had sublinear scaling, economies of scale, you had the slowing of the pace of life as you get bigger.
A vector, that column of numbers we feed into neural nets,is simply a subclass of a more general mathematical structure called a tensor.
Is this just an interesting mathematical structure that might be able to explain some previously unexplained features of the world, or can we actually test for these extra dimensions?
Abstract mathematics is so general that any Theory Of Everything(TOE) which is definable in purely formal terms(independent of vague human terminology)is also a mathematical structure.
For example we canregard numerical algorithm as dynamical system and the mathematical structure of the algorithm are analyzed from the study of evolution equations.
Our division studies the gauge theory-string theory correspondence by relating it to integrable systems with infinite dimensional symmetry andquantum topological invariants as mathematical structures of string theory.
The'thing-in-itself' is for the atomic physicist, if he uses this concept at all, finally a mathematical structure: but this structure is- contrary to Kant- indirectly deduced from experience.
By replicating phenomena on a computer via numerical computations, one can unearth the essential mechanisms hidden within the phenomenon. Moreover,mathematical analysis makes it possible to establish general mathematical structures for the target phenomenon.
If the latter is the case,then perhaps the particular mathematical structure that makes up our universe isn't the only option, and in fact all possible mathematical structures exist as their own separate universes.
The strengths: IOTA's system does not use a blockchain,instead employing a shared ledger based on a mathematical structure called a directed acyclic graph.
Mathematics Students develop basic mathematical thinking through courses on algebra, set, and topology. They also learn partial differential equations anddiscrete mathematics to acquire the specialized knowledge necessary for analyzing the mathematical structure of various phenomena.