MATH 253

Eulerian Circuits & Paths — Rules / Graph existance (q14)

Eulerian CIRCUIT exists iff graph is connected AND every vertex has EVEN degree.
Eulerian TRAIL (not circuit) exists iff graph is connected AND exactly 2 vertices have ODD degree. (Start/end at odd-degree vertices.)

Exam Q13 — Left graph (A):
Has an Euler TRAIL: 4→5→3→4→2→3→1→6→5→2→6
(Exactly 2 odd-degree vertices → trail exists between them.)
Right graph (B):
Vertices 1,2,5,6 all have odd degree (four odd-
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dsgtgt

Pseudomonas striata: Mass Multiplication and Field Application

Pseudomonas striata is an important phosphate-solubilizing microorganism widely used as a biofertilizer in sustainable agriculture. Phosphorus is one of the major essential nutrients required for plant growth and development. It plays a vital role in root development, flowering, seed formation, and energy transfer through ATP synthesis. Although soils contain a large amount of phosphorus, most of it remains in insoluble forms such as...

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Faizan

9. *What are the procedures for gastrectomy*:

Gastrectomy is the surgical removal of part or all of the stomach. Types include partial gastrectomy, total gastrectomy, and sleeve gastrectomy. Indications are gastric cancer, ulcer, or bleeding. Gl tract reconstruction is done after removal to maintain digestion.



10. *List the different approach for colonoscopy*:

Colonoscopy approaches include diagnostic colonoscopy for visualization, therapeutic colonoscopy for polypectomy or bleeding control, sigmoidoscopy

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Aadil 1

Glycolysis

Glycolysis is the process of breakdown of glucose into pyruvate in the cytoplasm of cells to produce energy. It is the first and most important pathway of carbohydrate metabolism and occurs in both aerobic and anaerobic conditions. In this pathway, one molecule of glucose containing six carbon atoms is converted into two molecules of pyruvate containing three carbon atoms each through a series of enzymatic reactions. During glycolysis, energy is released in the form of ATP and NADH. The

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dududid

Orsino speaks these opening lines to his musicians while mourning his unreturned love for Olivia. Rather than pursuing Olivia directly, he indulges in the emotional performance of being in love. The immediate context establishes the exaggerated emotional atmosphere that defines the opening of the play. The quotation connects strongly to the theme of love as performance and excess. Orsino compares love to food, suggesting that emotions can be consumed almost like a luxury. However, his desire for
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philosphy logic test

Aristotle’s three laws of thought

Law of Identity: States that A is A, something can only be that which it is and things cannot have more than 1 identity |Law of Non-Contradiction: States that a proposition cannot be true AND false at the same time and in the same respect Ex: Butch is married to Barb but Barb is not married to Butch. If this is true, it cannot be false at the same time, the proposition cannot be true AND false |Law of the Excluded Middle : A proposition is either true OR false

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Digital electronics

A Half Adder is a combinational logic circuit that adds two single-bit binary numbers. It produces two outputs: Sum (S) and Carry (C). It is called 'half' adder because it cannot handle carry from previous additions. Logic Expressions: Sum (S) = A XOR B = A B -Carry (C) = A ANDB = A·B Full Adder is a combinational circuit that adds three one-bit binary numbers: A, B, and Carry-in (Cin). It produces two outputs: Sum (S) and Carry-out (Cout). Full adders are used to build multi-bit adder circuits.

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perio2.4

autogenous bone grafts: 1)Intraoral: edentulous ridge, lingual ridge of mand., retromolar area, maxillary tuberosity, extraction socket, ostectomy-2)Extraoral: hip marrow, iliac crest, tibia/Indications GTR: 1)Alveolar ridge augmentation-2)Alveolar ridge preservation-3)Augmenting max. sinus for implant-4)Augmenting bone to stabilize implant-5)Recession-6)Intrabony defect-7)Furcation class2/Factors influence clinical outcomes GTR: 1)Patient health-2)Patient compliance-3)Smoking-4)Tooth mobility-5)

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perio2.3

Selection flap design depend:1)Surgical anatomy-2)Extension problem-3)Need change flap position-4)remove bone or no-5)Esthetic concern-6)Protection donor site/Class periodontal flap:A)Flap elevation:1)Full thickness-2)Partial thickness/B)Flap management:1)Split papilla flap-2)Papilla preservation flap/C)Flap placement:1)Undisplaced-2)Apically positioned-3)Coronally/Types mucoperiosteal flap:A)Envelope/sulcular-B)3 corner-C)4 corner/Indication gingivectomy:1)Suprabony pocket-2)Furc inv-3)gingival

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