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	<title>Volume-4 Issue-2, October 2024 &#8211; Indian Journal of Advanced Mathematics (IJAM)</title>
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	<title>Volume-4 Issue-2, October 2024 &#8211; Indian Journal of Advanced Mathematics (IJAM)</title>
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		<title>A123806010424</title>
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		<dc:creator><![CDATA[IJAM Journal]]></dc:creator>
		<pubDate>Thu, 22 Jan 2026 09:26:26 +0000</pubDate>
				<category><![CDATA[Anjalee S. Srivastava]]></category>
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					<description><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
<p>This paper investigates the approximation of functions by Legendre wavelet expansions when their first and second derivatives belong to the generalized Lipschitz class Lip(𝛼, 𝑝), 0 < 𝛼 ≤ 1. Explicit error bounds are obtained in the 𝐿 2 -norm, showing that the rate of convergence depends on both the resolution level and the polynomial degree of the wavelet basis. The analysis reveals that Legendre wavelet estimators achieve sharper approximation orders than classical Fourier series and Haar wavelet methods under comparable smoothness assumptions. These results extend earlier studies on Lipschitz-type approximation and highlight the effectiveness of Legendre wavelets for functions with higherorder regularity.
</p>
<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/a123806010424/">A123806010424</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
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<div  class='flex_column av-3vglx9-608b1c4da50a4745711d731d1e73401d av_one_full  avia-builder-el-0  el_before_av_social_share  avia-builder-el-first  first flex_column_div  '     ><div  class='av_promobox av-mkp8yxis-dacf9f7d6f739277066f015b41541d03 avia-button-yes  avia-builder-el-1  avia-builder-el-no-sibling '><div class='avia-promocontent'></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif;"><span style="font-size: 14pt;"><strong><span style="font-size: 18pt;">Approximation of Derivatives of Functions Belonging to Lip (𝜶, 𝒑) Class by Legendre Wavelet Method</span><a href="https://crossmark.crossref.org/dialog/?doi=10.54105/ijam.A1238.04021024&amp;domain=www.ijam.latticescipub.com"><img decoding="async" id="crossmark-icon" class="alignright" src="https://crossmark-cdn.crossref.org/widget/v2.0/logos/CROSSMARK_Color_horizontal.svg" alt="CROSSMARK Color horizontal" width="150" height="33"></a><br />
</strong>Anjalee S. Srivastava<br />
</span></span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">
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<span  class='av_font_icon av-a9b4g-b4f12ce60498e06e77e78fa4e9e11d0b avia_animate_when_visible av-icon-style- avia-icon-pos-left avia-iconfont avia-font-entypo-fontello avia-icon-animate'><span class='av-icon-char' data-av_icon='' data-av_iconfont='entypo-fontello' aria-hidden="true" data-avia-icon-tooltip="annu.srisai5@gmail.com"></span></span>Dr. Anjalee S. Srivastava, Assistant Professor, Department of Mathematics, Tolani College of Arts and Science, Adipur, Kachchh, Affiliated to KSAKV Kachchh University, Bhuj, Kachchh (Gujarat), India.</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Manuscript received on 06 August 2024 <strong>|</strong> Revised Manuscript received on 15 September 2024 <strong>|</strong> Manuscript Accepted on 15 October 2024 <strong>|</strong> Manuscript published on 30 October 2024 <strong>|</strong> PP: 31-34<strong> |</strong> Volume-4 Issue-2, October 2024 <strong>|</strong> Retrieval Number: 100.1/ijam.A123806010424 <strong>|</strong> DOI: <a href="http://doi.org/10.54105/ijam.A1238.04021024" target="_blank" rel="noopener">10.54105/ijam.A1238.04021024</a></span></p>
<p style="text-align: justify;"><span style="font-size: 12pt;"> <span style="font-family: 'times new roman', times, serif;"><i class="fa fa-unlock-alt" style="color: blue;"></i><a href="https://www.openaccess.nl/en/" target="_blank" rel="noopener"> Open Access</a></span><span style="font-family: 'times new roman', times, serif;"><strong> |</strong> <i class="far fa-file-alt" style="color: blue;"></i><a href="https://www.ijam.latticescipub.com/ethics-policies/"> Editorial and Publishing Policies</a></span><span style="font-family: 'times new roman', times, serif;"> | <i class="fa fa-quote-right" style="color: blue;"></i> <a href="https://citation.crosscite.org/" target="_blank" rel="noopener">Cite</a> <strong>|</strong> <i class="fa fa-plus" style="color: blue;" aria-hidden="true"></i><a href="https://zenodo.org/records/18359327" target="_blank" rel="noopener"> Zenodo</a> <strong> |</strong> <a href="https://www.ijam.latticescipub.com/indexing/">Indexing and Abstracting</a></span></span><br />
<span style="font-family: 'times new roman', times, serif; font-size: 10pt;">© The Authors. Published by Lattice Science Publication (LSP). This is an <a href="https://www.openaccess.nl/en/" target="_blank" rel="noopener">open-access</a> article under the CC-BY-NC-ND license (<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/" target="_blank" rel="noopener">http://creativecommons.org/licenses/by-nc-nd/4.0/</a>)</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Abstract:</strong> This paper investigates the approximation of functions by Legendre wavelet expansions when their first and second derivatives belong to the generalized Lipschitz class 𝑳𝒊𝒑(𝜶, 𝒑), 𝟎 &lt; 𝛼 ≤ 1. Explicit error bounds are obtained in the 𝑳 𝟐 -norm, showing that the rate of convergence depends on both the resolution level and the polynomial degree of the wavelet basis. The analysis reveals that Legendre wavelet estimators achieve sharper approximation orders than classical Fourier series and Haar wavelet methods under comparable smoothness assumptions. These results extend earlier studies on Lipschitztype approximation and highlight the effectiveness of Legendre wavelets for functions with higher-order regularity.<br />
</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Keywords:</strong> Lipschitz Class, Legendre Wavelets, Haar Wavelets, Fourier Series, Degree of Approximation.</span><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><br />
<span style="font-size: 14pt;"> <strong>Scope of the Article:</strong> Applied Mathematics</span><br />
</span></p>
<p>
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<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/a123806010424/">A123806010424</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
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		<item>
		<title>D1124101422</title>
		<link>https://www.ijam.latticescipub.com/portfolio-item/d1124101422/</link>
		
		<dc:creator><![CDATA[IJAM Journal]]></dc:creator>
		<pubDate>Thu, 26 Dec 2024 05:08:46 +0000</pubDate>
				<guid isPermaLink="false">https://www.ijam.latticescipub.com/?post_type=portfolio&#038;p=1278</guid>

					<description><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/d1124101422/">D1124101422</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
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<div  class='flex_column av-4dj3xq-d8e13e95c3ab407be94e33cfad1e37bb av_one_full  avia-builder-el-0  el_before_av_social_share  avia-builder-el-first  first flex_column_div  '     ><div  class='av_promobox av-m54v5qca-5ba8a695083ef5960c729747abae7b07 avia-button-yes  avia-builder-el-1  avia-builder-el-no-sibling '><div class='avia-promocontent'></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif;"><span style="font-size: 14pt;"><strong><span style="font-size: 18pt;">On Laplace-Riemann Derivatives</span><a href="https://crossmark.crossref.org/dialog/?doi=10.54105/ijam.D1124.04021024&amp;domain=www.ijam.latticescipub.com"><img decoding="async" id="crossmark-icon" class="alignnone" src="https://crossmark-cdn.crossref.org/widget/v2.0/logos/CROSSMARK_Color_horizontal.svg" alt="CROSSMARK Color horizontal" width="150" height="33"></a><br />
</strong>S. Deb<br />
</span></span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Manuscript received on 16 April 2024<strong> |</strong> Revised Manuscript received on 15 May 2024 <strong>|</strong> Manuscript Accepted on 15 October 2024<strong> |</strong> Manuscript published on 30 October 2024 <strong>|</strong> PP: 25-30<strong> |</strong> Volume-4 Issue-2, October 2024 <strong>|</strong> Retrieval Number: 100.1/ijam.D1124101422 <strong>|</strong> DOI: <a href="http://doi.org/10.54105/ijam.D1124.04021024" target="_blank" rel="noopener">10.54105/ijam.D1124.04021024</a></span></p>
<p style="text-align: justify;"><span style="font-size: 12pt;"> <span style="font-family: 'times new roman', times, serif;"><i class="fa fa-unlock-alt" style="color: blue;"></i><a href="https://www.openaccess.nl/en/open-publications" target="_blank" rel="noopener"> Open Access</a></span><span style="font-family: 'times new roman', times, serif;"><strong> |</strong> <i class="far fa-file-alt" style="color: blue;"></i><a href="https://www.ijam.latticescipub.com/ethics-policies/"> Editorial and Publishing Policies</a></span><span style="font-family: 'times new roman', times, serif;"> | <i class="fa fa-quote-right" style="color: blue;"></i> <a href="https://citation.crosscite.org/" target="_blank" rel="noopener">Cite</a> <strong>|</strong> <i class="fa fa-plus" style="color: blue;" aria-hidden="true"></i><a href="https://zenodo.org/records/14560819" target="_blank" rel="noopener"> Zenodo</a> <strong> |</strong> <i class="fa fa-plus" style="color: blue;" aria-hidden="true"></i><a href="https://www.journals.latticescipub.com/index.php/ijam/issue/view/264"> OJS</a> <strong> |</strong> <i class="fa fa-database" style="color: blue;" aria-hidden="true"></i><a href="https://www.ijam.latticescipub.com/indexing/"> Indexing and Abstracting</a></span></span><br />
<span style="font-family: 'times new roman', times, serif; font-size: 10pt;">© The Authors. Published by Lattice Science Publication (LSP). This is an <a href="https://www.openaccess.nl/en/open-publications" target="_blank" rel="noopener">open-access</a> article under the CC-BY-NC-ND license (<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/" target="_blank" rel="noopener">http://creativecommons.org/licenses/by-nc-nd/4.0/</a>)</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Abstract:</strong> The basic properties of the th n Laplace-Riemann derivative of a function f at a point x is studied.<br />
</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Keywords:</strong> Laplace-Riemann Derivatives, Riemann &#8211; Derivatives, Derivative, Continuity, Mathematical Subject Classification 2020: 26E99, 28E99.</span><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><br />
<span style="font-size: 14pt;"> <strong>Scope of the Article:</strong> Applied Mathematics</span><br />
</span></p>
<p>
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<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/d1124101422/">D1124101422</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
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		<title>A118205010425</title>
		<link>https://www.ijam.latticescipub.com/portfolio-item/a118205010425/</link>
		
		<dc:creator><![CDATA[IJAM Journal]]></dc:creator>
		<pubDate>Mon, 23 Dec 2024 11:04:53 +0000</pubDate>
				<guid isPermaLink="false">https://www.ijam.latticescipub.com/?post_type=portfolio&#038;p=1274</guid>

					<description><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/a118205010425/">A118205010425</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
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<div  class='flex_column av-4ivd8a-a46d8142b0e9a6dbae6760be89aa74d7 av_one_full  avia-builder-el-0  el_before_av_social_share  avia-builder-el-first  first flex_column_div  '     ><div  class='av_promobox av-m50xk5zq-acfa40b35eacfd6e9273e3ec07b901a7 avia-button-yes  avia-builder-el-1  avia-builder-el-no-sibling '><div class='avia-promocontent'></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif;"><span style="font-size: 14pt;"><strong><span style="font-size: 18pt;">A Proof for Fermat&#8217;s Last Theorem using an Auxiliary Fermat&#8217;s Equation</span><a href="https://crossmark.crossref.org/dialog/?doi=10.54105/ijam.A1182.04021024&amp;domain=www.ijam.latticescipub.com"><img decoding="async" id="crossmark-icon" class="alignnone" src="https://crossmark-cdn.crossref.org/widget/v2.0/logos/CROSSMARK_Color_horizontal.svg" alt="CROSSMARK Color horizontal" width="150" height="33"></a><br />
</strong>P. N. Seetharaman<br />
</span></span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Manuscript received on 01 October 2024 <strong>|</strong> Revised Manuscript received on 12 October 2024<strong> |</strong> Manuscript Accepted on 15 October 2024 <strong>|</strong> Manuscript published on 30 October 2024 <strong>|</strong> PP: 19-24<strong> |</strong> Volume-4 Issue-2, October 2024 <strong>|</strong> Retrieval Number: 100.1/ijam.A118205010425 <strong>|</strong> DOI: <a href="http://doi.org/10.54105/ijam.A1182.04021024" target="_blank" rel="noopener">10.54105/ijam.A1182.04021024</a></span></p>
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Abstract:</strong> Fermat’s Last Theorem states that there exists no three positive integers x, y and z satisfying the equation x n + y n = z n , where n is any integer &gt; 2. Fermat and Euler had already proved the theorem for the exponents n = 4 and n = 3 in the equations x 4 + y4 = z4 and x 3 + y3 = z3, respectively. Hence, taking into account the same, it is enough to prove the theorem for the exponent n = p, where p is any prime &gt; 3. In this proof, we have hypothesised that r, s, and t are positive integers in the equation rp + sp = tp, where p is any prime greater than 3, and we prove the theorem by the method of contradiction. To support the proof in the above equation, we have used an Auxiliary equation: x³ + y³ = z³. The two equations are linked using transformation equations. Solving the transformation equations, we prove the theorem.<br />
</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Keywords:</strong> Transformation Equations. Mathematics Subject Classification 2010: 11A–XX.</span><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><br />
<span style="font-size: 14pt;"> <strong>Scope of the Article:</strong> Applied Mathematics</span><br />
</span></p>
<p>
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<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/a118205010425/">A118205010425</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
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		<title>B118004021024</title>
		<link>https://www.ijam.latticescipub.com/portfolio-item/b118004021024/</link>
		
		<dc:creator><![CDATA[IJAM Journal]]></dc:creator>
		<pubDate>Fri, 25 Oct 2024 12:28:34 +0000</pubDate>
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					<description><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/b118004021024/">B118004021024</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif;"><span style="font-size: 14pt;"><strong><span style="font-size: 18pt;">An Elementary Proof for Fermat&#8217;s Last Theorem using Ramanujan-Nagell Equation</span><a href="https://crossmark.crossref.org/dialog/?doi=10.54105/ijam.B1180.04021024&amp;domain=www.ijam.latticescipub.com"><img loading="lazy" decoding="async" id="crossmark-icon" class="alignright" src="https://crossmark-cdn.crossref.org/widget/v2.0/logos/CROSSMARK_Color_horizontal.svg" alt="CROSSMARK Color horizontal" width="150" height="33"></a><br />
</strong>P. N. Seetharaman<br />
</span></span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Manuscript received on 05 October 2024 <strong>|</strong> Revised Manuscript received on 10 October 2024<strong> |</strong> Manuscript Accepted on 15 October 2024<strong> |</strong> Manuscript published on 30 October 2024 <strong>|</strong> PP: 10-15<strong> |</strong> Volume-4 Issue-2, October 2024 <strong>|</strong> Retrieval Number: 100.1/ijam.B118004021024 <strong>|</strong> DOI: <a href="http://doi.org/10.54105/ijam.B1180.04021024" target="_blank" rel="noopener">10.54105/ijam.B1180.04021024</a></span></p>
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Abstract:</strong> Fermat’s Last Theorem states that it is impossible to find positive integers A, B and C satisfying the equation An + Bn = Cn where n is any integer &gt; 2. Taking the proofs of Fermat for the index n = 4, and Euler for n = 3, it is sufficient to prove the theorem for n = p, any prime &gt; 3. We hypothesize that all r, s and t are non-zero integers in the equation r p + sp = tp and establish a contradiction in this proof. To support the evidence in the above equation, we have used another equation: x³ + y³ = z³. Without loss of generality, we assert that both x and y are nonzero integers; z3 is a non-zero integer; z and z2 are irrational. We transform the above two equations using parameters, incorporating the Ramanujan-Nagell equation. Solving the transformed equations, we prove the theorem.<br />
</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Keywords:</strong> Transformed Fermat’s Equations through Parameters. 2010 Mathematics Subject Classification 2010: 11A–XX.</span><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><br />
<span style="font-size: 14pt;"> <strong>Scope of the Article:</strong> Applied Mathematics</span><br />
</span></p>
<p>
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<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/b118004021024/">B118004021024</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
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		<title>B117504021024</title>
		<link>https://www.ijam.latticescipub.com/portfolio-item/b117504021024/</link>
		
		<dc:creator><![CDATA[IJAM Journal]]></dc:creator>
		<pubDate>Fri, 25 Oct 2024 12:25:03 +0000</pubDate>
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					<description><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
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										<content:encoded><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif;"><span style="font-size: 14pt;"><strong><span style="font-size: 18pt;">On the Nörlund-Rice Integral Formula</span><a href="https://crossmark.crossref.org/dialog/?doi=10.54105/ijam.B1175.04021024&amp;domain=www.ijam.latticescipub.com"><img loading="lazy" decoding="async" id="crossmark-icon" class="alignnone" src="https://crossmark-cdn.crossref.org/widget/v2.0/logos/CROSSMARK_Color_horizontal.svg" alt="CROSSMARK Color horizontal" width="150" height="33"></a><br />
</strong>R.Sivaraman<strong><span style="font-size: 12pt; font-family: 'times new roman', times, serif;"><sup>1</sup></span></strong>, M. Muniru Iddrisu<strong><span style="font-size: 12pt; font-family: 'times new roman', times, serif;"><sup>2</sup></span></strong>, J. López-Bonilla<strong><span style="font-size: 12pt; font-family: 'times new roman', times, serif;"><sup>3</sup></span></strong><br />
</span></span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">
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<span  class='av_font_icon av-49sxo4-ada46c75abe81521c8e2dea80a9c19ba avia_animate_when_visible av-icon-style- avia-icon-pos-left avia-iconfont avia-font-entypo-fontello avia-icon-animate'><span class='av-icon-char' data-av_icon='' data-av_iconfont='entypo-fontello' aria-hidden="true" data-avia-icon-tooltip="jlopezb@ipn.mx"></span></span><sup><span style="font-family: 'times new roman', times, serif;"><strong>3</strong></span></sup>Prof. J. López-Bonilla, ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP 07738, CDMX, México. </span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Manuscript received on 17 August 2024 <strong>|</strong> Revised Manuscript received on 29 August 2024<strong> |</strong> Manuscript Accepted on 15 October 2024 <strong>|</strong> Manuscript published on 30 October 2024 <strong>|</strong> PP: 7-9<strong> |</strong> Volume-4 Issue-2, October 2024 <strong>|</strong> Retrieval Number: 100.1/ijam.B117504021024 <strong>|</strong> DOI: <a href="http://doi.org/10.54105/ijam.B1175.04021024" target="_blank" rel="noopener">10.54105/ijam.B1175.04021024</a></span></p>
<p style="text-align: justify;"><span style="font-size: 12pt;"> <span style="font-family: 'times new roman', times, serif;"><i class="fa fa-unlock-alt" style="color: blue;"></i><a href="https://www.openaccess.nl/en/open-publications" target="_blank" rel="noopener"> Open Access</a></span><span style="font-family: 'times new roman', times, serif;"><strong> |</strong> <i class="far fa-file-alt" style="color: blue;"></i><a href="https://www.ijam.latticescipub.com/ethics-policies/"> Editorial and Publishing Policies</a></span><span style="font-family: 'times new roman', times, serif;"> | <i class="fa fa-quote-right" style="color: blue;"></i> <a href="https://citation.crosscite.org/" target="_blank" rel="noopener">Cite</a> <strong>|</strong> <i class="fa fa-plus" style="color: blue;" aria-hidden="true"></i><a href="https://zenodo.org/records/14000737" target="_blank" rel="noopener"> Zenodo</a> <strong> |</strong> <i class="fa fa-plus" style="color: blue;" aria-hidden="true"></i><a href="https://www.journals.latticescipub.com/index.php/ijam/issue/view/264"> OJS</a> <strong> |</strong> <i class="fa fa-database" style="color: blue;" aria-hidden="true"></i><a href="https://www.ijam.latticescipub.com/indexing/"> Indexing and Abstracting</a></span></span><br />
<span style="font-family: 'times new roman', times, serif; font-size: 10pt;">© The Authors. Published by Lattice Science Publication (LSP). This is an <a href="https://www.openaccess.nl/en/open-publications" target="_blank" rel="noopener">open-access</a> article under the CC-BY-NC-ND license (<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/" target="_blank" rel="noopener">http://creativecommons.org/licenses/by-nc-nd/4.0/</a>)</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Abstract:</strong> After introducing the famous Nörlund-Rice integral formula, we apply it to Laguerre polynomials, Melzak’s relation, and Stirling numbers of the second kind to obtain nice expressions.<br />
</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Keywords:</strong> Stirling numbers, Nörlund-Rice integral, Melzak’s identity, Laguerre polynomials.</span><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><br />
<span style="font-size: 14pt;"> <strong>Scope of the Article:</strong> Calculus</span><br />
</span></p>
<p>
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<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/b117504021024/">B117504021024</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
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		<item>
		<title>B117304021024</title>
		<link>https://www.ijam.latticescipub.com/portfolio-item/b117304021024/</link>
		
		<dc:creator><![CDATA[IJAM Journal]]></dc:creator>
		<pubDate>Fri, 25 Oct 2024 12:19:59 +0000</pubDate>
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					<description><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/b117304021024/">B117304021024</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
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										<content:encoded><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif;"><span style="font-size: 14pt;"><strong><span style="font-size: 18pt;">On the Model of Transport of Salt Solution in a Xylem</span><a href="https://crossmark.crossref.org/dialog/?doi=10.54105/ijam.B1173.04021024&amp;domain=www.ijam.latticescipub.com"><img loading="lazy" decoding="async" id="crossmark-icon" class="alignnone" src="https://crossmark-cdn.crossref.org/widget/v2.0/logos/CROSSMARK_Color_horizontal.svg" alt="CROSSMARK Color horizontal" width="150" height="33"></a><br />
</strong>E.L. Pankratov<br />
</span></span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">
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<span  class='av_font_icon av-a9b4g-b4f12ce60498e06e77e78fa4e9e11d0b avia_animate_when_visible av-icon-style- avia-icon-pos-left avia-iconfont avia-font-entypo-fontello avia-icon-animate'><span class='av-icon-char' data-av_icon='' data-av_iconfont='entypo-fontello' aria-hidden="true" data-avia-icon-tooltip="elp2004@mail.ru"></span></span>E. L. Pankratov, Nizhny Novgorod State University, 23 Gagarinavenue, Nizhny Novgorod, 603950, Russia; Nizhny Novgorod State Agrotechnical University, 97 Gagarinavenue, Nizhny Novgorod, Russia.  </span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Manuscript received on 05 July 2024<strong> |</strong> Revised Manuscript received on 05 September 2024<strong> |</strong> Manuscript Accepted on 15 October 2024 <strong>|</strong> Manuscript published on 30 October 2024 <strong>|</strong> PP: 16-18<strong> |</strong> Volume-4 Issue-2, October 2024 <strong>|</strong> Retrieval Number: 100.1/ijam.B117304021024 <strong>|</strong> DOI: <a href="http://doi.org/10.54105/ijam.B1173.04021024" target="_blank" rel="noopener">10.54105/ijam.B1173.04021024</a></span></p>
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<span style="font-family: 'times new roman', times, serif; font-size: 10pt;">© The Authors. Published by Lattice Science Publication (LSP). This is an <a href="https://www.openaccess.nl/en/open-publications" target="_blank" rel="noopener">open-access</a> article under the CC-BY-NC-ND license (<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/" target="_blank" rel="noopener">http://creativecommons.org/licenses/by-nc-nd/4.0/</a>)</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Abstract:</strong> We consider a model for vertical lifting of an aqueous solution of salts in a xylem. We analysed the changes in movement of the considered solution depending on various parameters. We employ an analytical approach to examine the model under consideration. The approach enables consideration of parameter changes in both space and time, as well as the nonlinearity of the processes under examination.<br />
</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Keywords:</strong> Xylem; Transport of Aqueous Solution of Salts; Analytical Approach for Analysis.</span><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><br />
<span style="font-size: 14pt;"> <strong>Scope of the Article:</strong> Applied Mathematics</span><br />
</span></p>
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<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/b117304021024/">B117304021024</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
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		<title>B117104021024</title>
		<link>https://www.ijam.latticescipub.com/portfolio-item/b117104021024/</link>
		
		<dc:creator><![CDATA[IJAM Journal]]></dc:creator>
		<pubDate>Fri, 25 Oct 2024 12:16:59 +0000</pubDate>
				<guid isPermaLink="false">https://www.ijam.latticescipub.com/?post_type=portfolio&#038;p=1246</guid>

					<description><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
<p>The post <a rel="nofollow" href="https://www.ijam.latticescipub.com/portfolio-item/b117104021024/">B117104021024</a> appeared first on <a rel="nofollow" href="https://www.ijam.latticescipub.com">Indian Journal of Advanced Mathematics (IJAM)</a>.</p>
]]></description>
										<content:encoded><![CDATA[<p>The Indian Journal of Advanced Mathematics (IJAM) has ISSN 2582-8932 (online), an open-access, peer-reviewed, periodical half-yearly international journal, which is published by Lattice Science Publication (LSP) in April and October. The journal aims to publish high-quality peer–reviewed original articles in the area of Mathematics that covers Applied Mathematics, Arithmetic, Algebra, Calculus and Analysis, Geometry and Topology, Trigonometry, Combinatorics, Logic, Number Theory, Numerical Analysis, Dynamical Systems, Differential Equations, Mathematical Physics, Information Theory and Signal Processing, Probability and Statistics, Game Theory, Operations Research, Discrete Mathematics, Business Mathematics and Financial Mathematics.  #Applied Mathematics #Arithmetic #Algebra #Calculus and Analysis #Geometry and Topology #Trigonometry #Combinatorics #Logic #Number Theory #Numerical Analysis #Dynamical Systems #Differential Equations #Mathematical Physics #Information Theory and Signal Processing #Probability and Statistics #Game Theory #Operations Research #Discrete Mathematics #Business Mathematics and Financial Mathematics #PhD ademic #Scopus #SCI #LatticeScience #Springer, #ScienceDirect #IEEE #Mendeley #Research #Scholarship #UGC #SSRN #LatticeScience #ESCI #Science #Journal #Conference #SSRN #PubLons</p>
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif;"><span style="font-size: 14pt;"><strong><span style="font-size: 18pt;">On Possibility of Controlling of Temperature of Gases and Liquids in a Transportation System by Local Cooling or Heating</span><a href="https://crossmark.crossref.org/dialog/?doi=10.54105/ijam.B1171.04021024&amp;domain=www.ijam.latticescipub.com"><img loading="lazy" decoding="async" id="crossmark-icon" class="alignright" src="https://crossmark-cdn.crossref.org/widget/v2.0/logos/CROSSMARK_Color_horizontal.svg" alt="CROSSMARK Color horizontal" width="150" height="33"></a><br />
</strong>E.L. Pankratov<br />
</span></span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">
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<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 12pt;">Manuscript received on 20 May 2024 <strong>|</strong> Revised Manuscript received on 27 May 2024 <strong>|</strong> Manuscript Accepted on 15 October 2024 <strong>|</strong> Manuscript published on 30 October 2024 <strong>|</strong> PP: 1-6<strong> |</strong> Volume-4 Issue-2, October 2024 <strong>|</strong> Retrieval Number: 100.1/ijam.B117104021024 <strong>|</strong> DOI: <a href="http://doi.org/10.54105/ijam.B1171.04021024" target="_blank" rel="noopener">10.54105/ijam.B1171.04021024</a></span></p>
<p style="text-align: justify;"><span style="font-size: 12pt;"> <span style="font-family: 'times new roman', times, serif;"><i class="fa fa-unlock-alt" style="color: blue;"></i><a href="https://www.openaccess.nl/en/open-publications" target="_blank" rel="noopener"> Open Access</a></span><span style="font-family: 'times new roman', times, serif;"><strong> |</strong> <i class="far fa-file-alt" style="color: blue;"></i><a href="https://www.ijam.latticescipub.com/ethics-policies/"> Editorial and Publishing Policies</a></span><span style="font-family: 'times new roman', times, serif;"> | <i class="fa fa-quote-right" style="color: blue;"></i> <a href="https://citation.crosscite.org/" target="_blank" rel="noopener">Cite</a> <strong>|</strong> <i class="fa fa-plus" style="color: blue;" aria-hidden="true"></i><a href="https://zenodo.org/records/14000672" target="_blank" rel="noopener"> Zenodo</a> <strong> |</strong> <i class="fa fa-plus" style="color: blue;" aria-hidden="true"></i><a href="https://www.journals.latticescipub.com/index.php/ijam/issue/view/264"> OJS</a> <strong> |</strong> <i class="fa fa-database" style="color: blue;" aria-hidden="true"></i><a href="https://www.ijam.latticescipub.com/indexing/"> Indexing and Abstracting</a></span></span><br />
<span style="font-family: 'times new roman', times, serif; font-size: 10pt;">© The Authors. Published by Lattice Science Publication (LSP). This is an <a href="https://www.openaccess.nl/en/open-publications" target="_blank" rel="noopener">open-access</a> article under the CC-BY-NC-ND license (<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/" target="_blank" rel="noopener">http://creativecommons.org/licenses/by-nc-nd/4.0/</a>)</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Abstract:</strong> In this paper, we consider an approach to changing the temperature of liquids and gases in pipelines by local heating and cooling. We introduce a model of heat transfer with account forced convection. Additionally, we introduce an analytical approach for predicting heat transfer.<br />
</span></p>
<p style="text-align: justify;"><span style="font-family: 'times new roman', times, serif; font-size: 14pt;"><strong>Keywords:</strong> Heat Transfer; Controlling of Temperature of Gases and Liquids; Analytical Approach for Prognosis.</span><span style="font-family: 'times new roman', times, serif; font-size: 12pt;"><br />
<span style="font-size: 14pt;"> <strong>Scope of the Article:</strong> Mathematical Physics</span><br />
</span></p>
<p>
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